All questions of CBT I for Mechanical Engineering Exam
Depending upon the chemical nature butter can be called as…?- a)Gel
- b)Foam
- c)Emulsion
- d)None of these
Correct answer is option 'A'. Can you explain this answer?
Depending upon the chemical nature butter can be called as…?
a)
Gel
b)
Foam
c)
Emulsion
d)
None of these
|
Vedika Singh answered |
Butter is a gel which is a colloidal solution in which dispersed phases liquid and dispersed medium is solid.
In these questions, statements are given followed by two conclusions I and II. You have to consider both the statements to be true even if they seem to be at variance from commonly known facts. You have to decide which of the given conclusions is/are definitely drawn from the given statements. Select answer as: (A) If only I follows (B) If only II follows (C) If neither I nor II follows (D) If both I and II followStatements:A. Most lilies are roses.B. Some roses are daffodils.Conclusions: I. Some daffodils are roses.II. Some lilies are daffodils.- a)A
- b)B
- c)C
- d)D
Correct answer is option 'A'. Can you explain this answer?
In these questions, statements are given followed by two conclusions I and II. You have to consider both the statements to be true even if they seem to be at variance from commonly known facts. You have to decide which of the given conclusions is/are definitely drawn from the given statements. Select answer as: (A) If only I follows (B) If only II follows (C) If neither I nor II follows (D) If both I and II follow
Statements:
A. Most lilies are roses.
B. Some roses are daffodils.
Conclusions:
I. Some daffodils are roses.
II. Some lilies are daffodils.
a)
A
b)
B
c)
C
d)
D
|
Shubham Sharma answered |
Fulminology is the study of__________?- a)Cloudbursts
- b)Volcanic Eruptions
- c)Lightning
- d)Sudden changes in atmosphere
Correct answer is option 'C'. Can you explain this answer?
Fulminology is the study of__________?
a)
Cloudbursts
b)
Volcanic Eruptions
c)
Lightning
d)
Sudden changes in atmosphere
|
Mita Mehta answered |
The study or science of lightning is called fulminology, and someone who studies lightning is referred to as a fulminologist.
Identify the diagram that best represents the relationship among Iron, Lead, Nitrogen.Choose the correct venn diagram.- a)
- b)
- c)
- d)
Correct answer is option 'B'. Can you explain this answer?
Identify the diagram that best represents the relationship among Iron, Lead, Nitrogen.
Choose the correct venn diagram.
a)
b)
c)
d)
|
Tejas Verma answered |
There is no relation between iron, lead and nitrogen.
So,
Daulatabad was constructed by.- a)Razia Sultan.
- b)Ibrahim Lodi.
- c)Mohamniad bin Tughlaq.
- d)Sikander Lodhi.
Correct answer is option 'C'. Can you explain this answer?
Daulatabad was constructed by.
a)
Razia Sultan.
b)
Ibrahim Lodi.
c)
Mohamniad bin Tughlaq.
d)
Sikander Lodhi.
|
|
Tejas Verma answered |
Mohamniad bin Tughlaq-Muhammad Salman Khan also known as Jauna Khan , was the Turkic Sultan of Delhi through 1324 to 1351. He was the eldest son of Ghiyas-ud-din Tughlaq. Muhammad bin Tughlaq founded a new city, called Jahanpannah which connected older Delhi with Sin. Later, he ordered that the capital of his Sultanate be moved from Delhi to Deogir in Maharashtra (renaming it to Daulatabad). The capital move failed because Daulatabad was arid and did not have enough drinking water to support the new capital. The capital then returned to Delhi.
The pH of human blood is normally around-- a)1.5-6.5
- b)5.5 - 6.5
- c)7.5 - 8.0
- d)8.5 - 9.0
Correct answer is option 'C'. Can you explain this answer?
The pH of human blood is normally around-
a)
1.5-6.5
b)
5.5 - 6.5
c)
7.5 - 8.0
d)
8.5 - 9.0
|
|
Gaurav Chavan answered |
Correct answer: Option C) 7.5 - 8.0
The pH Scale
The pH scale measures the acidity or alkalinity of a solution. It ranges from 0 to 14, with 7 being neutral. A pH below 7 is considered acidic, while a pH above 7 is alkaline or basic. The pH of a solution is determined by the concentration of hydrogen ions (H+) present.
The pH of Human Blood
The pH of human blood is tightly regulated to maintain homeostasis and ensure optimal physiological functioning. The normal pH range for arterial blood is slightly alkaline, ranging from 7.35 to 7.45. This is slightly basic, but still within the neutral range.
Regulation of Blood pH
The body has several mechanisms in place to regulate blood pH and keep it within the normal range. These mechanisms include:
- Bicarbonate Buffer System: The bicarbonate ion (HCO3-) acts as a major buffer in the blood, helping to maintain a stable pH. It can accept or donate hydrogen ions as needed, thus preventing drastic changes in pH.
- Respiratory System: The lungs play a vital role in regulating blood pH by controlling the levels of carbon dioxide (CO2) in the body. When CO2 levels increase, the body compensates by increasing respiration rate, which helps eliminate excess CO2 and reduce acidity.
- Renal System: The kidneys also play a significant role in maintaining blood pH. They regulate the reabsorption and excretion of bicarbonate ions and hydrogen ions to help maintain the appropriate acid-base balance.
Importance of Blood pH
Maintaining the appropriate pH is crucial for the proper functioning of various physiological processes in the body. The enzymes responsible for carrying out essential metabolic reactions have an optimal pH range in which they function most efficiently. Deviations from the normal pH range can lead to metabolic disorders and disrupt the normal functioning of the body.
Conclusion
The correct answer is option C) 7.5 - 8.0. The pH of human blood is normally slightly alkaline, with a range of 7.35 to 7.45. This range is tightly regulated by various mechanisms in the body to ensure optimal physiological functioning.
The upcoming General Elections to be held in 2019 will lead to the formation of the _________ Lok Sabha for the Republic of India.- a)14th
- b)16th
- c)18th
- d)17th
Correct answer is option 'D'. Can you explain this answer?
The upcoming General Elections to be held in 2019 will lead to the formation of the _________ Lok Sabha for the Republic of India.
a)
14th
b)
16th
c)
18th
d)
17th
|
|
Tejas Verma answered |
The current Lok Sabha is the 16th since the formation of the Indian Republic.
The General elections of 2019 will elect members for the formation of the 17th Lok Sabha.
The ratio of two numbers is 7:5, and their H.C.F. is 6. What is their L.C.M.?- a)148
- b)156
- c)210
- d)270
Correct answer is option 'C'. Can you explain this answer?
The ratio of two numbers is 7:5, and their H.C.F. is 6. What is their L.C.M.?
a)
148
b)
156
c)
210
d)
270
|
|
Aashna Chauhan answered |
Understanding the Ratio and H.C.F.
The ratio of two numbers, say \( a \) and \( b \), is given as 7:5. This means we can express \( a \) and \( b \) in terms of a common multiplier \( k \):
- \( a = 7k \)
- \( b = 5k \)
We are also informed that their Highest Common Factor (H.C.F.) is 6.
Finding the Values of the Numbers
Since the H.C.F. of \( a \) and \( b \) is 6, we can set \( 5k \) and \( 7k \) equal to the H.C.F. multiplied by a factor. This means:
- H.C.F. = 6 = \( 5k \) / 5 or \( 7k \) / 7
Thus, we can express \( k \):
- \( k = 6 \)
Now substituting \( k \) back to find \( a \) and \( b \):
- \( a = 7k = 7 \times 6 = 42 \)
- \( b = 5k = 5 \times 6 = 30 \)
Calculating L.C.M.
The formula for calculating the Least Common Multiple (L.C.M.) using H.C.F. is:
- \( \text{L.C.M.} \times \text{H.C.F.} = a \times b \)
Substituting the known values:
- \( a \times b = 42 \times 30 \)
Calculating \( a \times b \):
- \( 42 \times 30 = 1260 \)
Using the relationship between L.C.M. and H.C.F.:
- \( \text{L.C.M.} \times 6 = 1260 \)
Solving for L.C.M.:
- \( \text{L.C.M.} = 1260 / 6 = 210 \)
Conclusion
Thus, the L.C.M. of the two numbers is:
- 210 (option 'C')
The ratio of two numbers, say \( a \) and \( b \), is given as 7:5. This means we can express \( a \) and \( b \) in terms of a common multiplier \( k \):
- \( a = 7k \)
- \( b = 5k \)
We are also informed that their Highest Common Factor (H.C.F.) is 6.
Finding the Values of the Numbers
Since the H.C.F. of \( a \) and \( b \) is 6, we can set \( 5k \) and \( 7k \) equal to the H.C.F. multiplied by a factor. This means:
- H.C.F. = 6 = \( 5k \) / 5 or \( 7k \) / 7
Thus, we can express \( k \):
- \( k = 6 \)
Now substituting \( k \) back to find \( a \) and \( b \):
- \( a = 7k = 7 \times 6 = 42 \)
- \( b = 5k = 5 \times 6 = 30 \)
Calculating L.C.M.
The formula for calculating the Least Common Multiple (L.C.M.) using H.C.F. is:
- \( \text{L.C.M.} \times \text{H.C.F.} = a \times b \)
Substituting the known values:
- \( a \times b = 42 \times 30 \)
Calculating \( a \times b \):
- \( 42 \times 30 = 1260 \)
Using the relationship between L.C.M. and H.C.F.:
- \( \text{L.C.M.} \times 6 = 1260 \)
Solving for L.C.M.:
- \( \text{L.C.M.} = 1260 / 6 = 210 \)
Conclusion
Thus, the L.C.M. of the two numbers is:
- 210 (option 'C')
Which of the following colour will scatter the most while passing through a prism?- a)Violet
- b)Indigo
- c)Blue
- d)Green
Correct answer is option 'D'. Can you explain this answer?
Which of the following colour will scatter the most while passing through a prism?
a)
Violet
b)
Indigo
c)
Blue
d)
Green
|
|
Mita Mehta answered |
Lights of different colour depending upon their scattering in ascending ordor are violet, indigo, blue, green, yellow, orange and red.
17 articles were bought for ₹ 3,910 and sold for ₹ 4,590. How much was the approximate profit percentage per article?- a)17%
- b)12%
- c)9%
- d)21%
Correct answer is option 'A'. Can you explain this answer?
17 articles were bought for ₹ 3,910 and sold for ₹ 4,590. How much was the approximate profit percentage per article?
a)
17%
b)
12%
c)
9%
d)
21%
|
|
Vedika Singh answered |
Profit = 4590 - 3910
= Rs. 680
Profit percentage = 680/3910 x 100
= 17.39%
= 17% approximately.
A fraction is equivalent to 4/5. If 8 is added to the numerator and 6 is subtracted from the denominator, the resultant fraction is equivalent to 4/3. Find the difference between the numerator and the denominator of the original fraction.- a)5
- b)6
- c)8
- d)4
Correct answer is option 'B'. Can you explain this answer?
A fraction is equivalent to 4/5. If 8 is added to the numerator and 6 is subtracted from the denominator, the resultant fraction is equivalent to 4/3. Find the difference between the numerator and the denominator of the original fraction.
a)
5
b)
6
c)
8
d)
4
|
Advait Mehta answered |
Understanding the Problem
We need to find a fraction equivalent to \( \frac{4}{5} \) and, when modified, equals \( \frac{4}{3} \). Let's represent the original fraction as \( \frac{a}{b} \).
Step 1: Setting Up Equations
1. **First Equation**:
Since \( \frac{a}{b} = \frac{4}{5} \), we can express it as:
\[
5a = 4b \quad (1)
\]
2. **Second Equation**:
When 8 is added to the numerator and 6 is subtracted from the denominator, we get:
\[
\frac{a + 8}{b - 6} = \frac{4}{3}
\]
Cross-multiplying gives us:
\[
3(a + 8) = 4(b - 6) \quad (2)
\]
Step 2: Simplifying the Equations
From equation (2):
\[
3a + 24 = 4b - 24
\]
Rearranging this, we get:
\[
3a - 4b = -48 \quad (3)
\]
Step 3: Solving the System of Equations
Now we have two equations:
- \( 5a - 4b = 0 \) from (1)
- \( 3a - 4b = -48 \) from (3)
Subtracting (1) from (3):
\[
(3a - 4b) - (5a - 4b) = -48 \\
-2a = -48 \\
a = 24
\]
Substituting \( a = 24 \) in (1):
\[
5(24) = 4b \\
120 = 4b \\
b = 30
\]
Step 4: Finding the Difference
The original fraction is \( \frac{24}{30} \). The difference between the numerator and the denominator is:
\[
30 - 24 = 6
\]
Conclusion
Thus, the difference between the numerator and the denominator of the original fraction is \( 6 \), confirming that option 'B' is the correct answer.
We need to find a fraction equivalent to \( \frac{4}{5} \) and, when modified, equals \( \frac{4}{3} \). Let's represent the original fraction as \( \frac{a}{b} \).
Step 1: Setting Up Equations
1. **First Equation**:
Since \( \frac{a}{b} = \frac{4}{5} \), we can express it as:
\[
5a = 4b \quad (1)
\]
2. **Second Equation**:
When 8 is added to the numerator and 6 is subtracted from the denominator, we get:
\[
\frac{a + 8}{b - 6} = \frac{4}{3}
\]
Cross-multiplying gives us:
\[
3(a + 8) = 4(b - 6) \quad (2)
\]
Step 2: Simplifying the Equations
From equation (2):
\[
3a + 24 = 4b - 24
\]
Rearranging this, we get:
\[
3a - 4b = -48 \quad (3)
\]
Step 3: Solving the System of Equations
Now we have two equations:
- \( 5a - 4b = 0 \) from (1)
- \( 3a - 4b = -48 \) from (3)
Subtracting (1) from (3):
\[
(3a - 4b) - (5a - 4b) = -48 \\
-2a = -48 \\
a = 24
\]
Substituting \( a = 24 \) in (1):
\[
5(24) = 4b \\
120 = 4b \\
b = 30
\]
Step 4: Finding the Difference
The original fraction is \( \frac{24}{30} \). The difference between the numerator and the denominator is:
\[
30 - 24 = 6
\]
Conclusion
Thus, the difference between the numerator and the denominator of the original fraction is \( 6 \), confirming that option 'B' is the correct answer.
Radcliffe Line was the boundary demarcation line between India and ___________- a)China
- b)Myanmar
- c)Pakistan
- d)None of the above
Correct answer is option 'C'. Can you explain this answer?
Radcliffe Line was the boundary demarcation line between India and ___________
a)
China
b)
Myanmar
c)
Pakistan
d)
None of the above
|
Sharmila Tiwari answered |
Radcliffe Line and its Significance
The Radcliffe Line was the boundary demarcation line drawn by Sir Cyril Radcliffe during the partition of British India in 1947. It separated the two newly independent countries of India and Pakistan.
Boundary between India and Pakistan
The Radcliffe Line specifically marked the boundary between the two dominions of India and Pakistan, with Pakistan comprising two regions - West Pakistan (now Pakistan) and East Pakistan (now Bangladesh).
Partition of British India
The line was drawn hastily by Sir Cyril Radcliffe, a British lawyer who had never been to India before, in a short span of time. The line was intended to separate the majority Muslim regions in the west and east from the majority Hindu regions in the rest of India.
Controversy and Communal Violence
The partition and the drawing of the Radcliffe Line led to widespread communal violence and displacement of millions of people on both sides of the border. The hastily drawn border caused confusion and led to disputes over the ownership of certain territories.
Legacy of the Radcliffe Line
The Radcliffe Line continues to be the de facto border between India and Pakistan, and has influenced the geopolitical landscape of the region. The line has been a source of ongoing tension and conflict between the two countries, particularly in the disputed region of Jammu and Kashmir.
In conclusion, the Radcliffe Line played a crucial role in the partition of British India and the creation of India and Pakistan as separate nations. It has left a lasting impact on the region and continues to be a significant factor in the relations between the two countries.
The Radcliffe Line was the boundary demarcation line drawn by Sir Cyril Radcliffe during the partition of British India in 1947. It separated the two newly independent countries of India and Pakistan.
Boundary between India and Pakistan
The Radcliffe Line specifically marked the boundary between the two dominions of India and Pakistan, with Pakistan comprising two regions - West Pakistan (now Pakistan) and East Pakistan (now Bangladesh).
Partition of British India
The line was drawn hastily by Sir Cyril Radcliffe, a British lawyer who had never been to India before, in a short span of time. The line was intended to separate the majority Muslim regions in the west and east from the majority Hindu regions in the rest of India.
Controversy and Communal Violence
The partition and the drawing of the Radcliffe Line led to widespread communal violence and displacement of millions of people on both sides of the border. The hastily drawn border caused confusion and led to disputes over the ownership of certain territories.
Legacy of the Radcliffe Line
The Radcliffe Line continues to be the de facto border between India and Pakistan, and has influenced the geopolitical landscape of the region. The line has been a source of ongoing tension and conflict between the two countries, particularly in the disputed region of Jammu and Kashmir.
In conclusion, the Radcliffe Line played a crucial role in the partition of British India and the creation of India and Pakistan as separate nations. It has left a lasting impact on the region and continues to be a significant factor in the relations between the two countries.
Six men and four boys working together, can complete a piece of work in 8 days. The same piece of work can be completed by four men in 'd' days only and by eight boys in (d +5) days only. By what percentage is the work efficiency of a boy less than that of a man?- a)33.33%
- b)37.5%
- c)62.5%
- d)66.67%
Correct answer is option 'C'. Can you explain this answer?
Six men and four boys working together, can complete a piece of work in 8 days. The same piece of work can be completed by four men in 'd' days only and by eight boys in (d +5) days only. By what percentage is the work efficiency of a boy less than that of a man?
a)
33.33%
b)
37.5%
c)
62.5%
d)
66.67%
|
|
Mita Mehta answered |
Let us assume that a man does 'm' units of work in a day, and a boy does 'b' units of work in a day.
Together six men and four boys can complete a piece of work in 8 days.
Thus the total work = 8(6m + 4b)
Also the same piece of work can be completed by two men in 'd' days only and by eight boys in (d + 5) days only.
Thus 8(6m + 4b)/8b - 8(6m + 4b)/4m = (d + 5) - d
or (6m/b + 4) - (12 + 8b/m) = 5
or 6(m/b) - 8(b/m) = 13
On solving, we get the value of m/b = 8/3
Thus the efficiency of a boy is 3/8 times that of a man, and hence a boy's efficiency is 62.5% less than that of a man.
A sum of Rs.1,075 is divided among Aman, Anu and Aradhya such that Aman receives 25% more than Aradhya and Aradhya receive 25% less than Anu. What is Aman’s share in the amount?- a)Rs.375
- b)Rs.425
- c)Rs.400
- d)Rs.450
Correct answer is option 'A'. Can you explain this answer?
A sum of Rs.1,075 is divided among Aman, Anu and Aradhya such that Aman receives 25% more than Aradhya and Aradhya receive 25% less than Anu. What is Aman’s share in the amount?
a)
Rs.375
b)
Rs.425
c)
Rs.400
d)
Rs.450
|
|
Tejas Verma answered |
Let Anu get x, then Aaradhya get 75% of x and Aman gets 125% amount of 75% of x
75% of x + 125% of 75% of x + x = 1075
x = 400
125/100 × 75/100 × 400
= Rs.375.
Which of these is/are applications of Ultrasonic Waves?- a)Measuring depth of the sea
- b)Cleaning cloths and Machinery parts
- c)Sterilizing a liquid
- d)All of the above
Correct answer is option 'D'. Can you explain this answer?
Which of these is/are applications of Ultrasonic Waves?
a)
Measuring depth of the sea
b)
Cleaning cloths and Machinery parts
c)
Sterilizing a liquid
d)
All of the above
|
Prasad Chaudhary answered |
Applications of Ultrasonic Waves
Ultrasonic waves, defined as sound waves with frequencies above the audible range for humans (above 20 kHz), have a wide range of practical applications across various fields. Below are the applications mentioned in the question:
Measuring Depth of the Sea
- Ultrasonic waves are used in sonar technology to measure the depth of water bodies.
- By emitting sound waves and measuring the time it takes for the echo to return, the depth can be accurately calculated.
Cleaning Cloths and Machinery Parts
- Ultrasonic cleaning is a widely used method to clean delicate items such as jewelry, lenses, and intricate machinery parts.
- The high-frequency sound waves create cavitation bubbles in a cleaning solution, effectively removing dirt and contaminants from surfaces.
Sterilizing a Liquid
- Ultrasonic waves are also used for sterilization purposes, particularly in the medical and food industries.
- The waves can disrupt microbial cells, effectively eliminating bacteria and other pathogens in liquids without the need for harsh chemicals.
Conclusion
Given the versatility of ultrasonic waves, they find applications in measuring, cleaning, and sterilizing, making option 'D' (All of the above) the correct answer. This demonstrates the importance and utility of ultrasonic technology in various sectors, including marine, industrial, and healthcare.
Ultrasonic waves, defined as sound waves with frequencies above the audible range for humans (above 20 kHz), have a wide range of practical applications across various fields. Below are the applications mentioned in the question:
Measuring Depth of the Sea
- Ultrasonic waves are used in sonar technology to measure the depth of water bodies.
- By emitting sound waves and measuring the time it takes for the echo to return, the depth can be accurately calculated.
Cleaning Cloths and Machinery Parts
- Ultrasonic cleaning is a widely used method to clean delicate items such as jewelry, lenses, and intricate machinery parts.
- The high-frequency sound waves create cavitation bubbles in a cleaning solution, effectively removing dirt and contaminants from surfaces.
Sterilizing a Liquid
- Ultrasonic waves are also used for sterilization purposes, particularly in the medical and food industries.
- The waves can disrupt microbial cells, effectively eliminating bacteria and other pathogens in liquids without the need for harsh chemicals.
Conclusion
Given the versatility of ultrasonic waves, they find applications in measuring, cleaning, and sterilizing, making option 'D' (All of the above) the correct answer. This demonstrates the importance and utility of ultrasonic technology in various sectors, including marine, industrial, and healthcare.
If 10 persons can do a job in 20 days. Then 20 persons with the twice efficiency can do the same job in:- a)10
- b)20
- c)5
- d)15
Correct answer is option 'C'. Can you explain this answer?
If 10 persons can do a job in 20 days. Then 20 persons with the twice efficiency can do the same job in:
a)
10
b)
20
c)
5
d)
15
|
Bibek Kulkarni answered |
Calculation:
To solve this problem, we can use the formula:
\[ \text{Number of persons} \times \text{Number of days} \times \text{Efficiency} = \text{Constant}\]
Given:
- 10 persons can do a job in 20 days
- 20 persons have twice the efficiency
Let's assume the constant to be 1 for easier calculation.
Case 1: 10 persons can do the job in 20 days
\[ 10 \times 20 \times \text{Efficiency} = 1\]
\[ \text{Efficiency} = \frac{1}{200}\]
Case 2: 20 persons with twice the efficiency
\[ 20 \times \text{Number of days} \times 2 \times \text{Efficiency} = 1\]
\[ 20 \times \text{Number of days} \times \frac{1}{100} = 1\]
\[ \text{Number of days} = 5\]
Therefore, 20 persons with twice the efficiency can do the same job in 5 days. So, the correct answer is option 'c) 5'.
To solve this problem, we can use the formula:
\[ \text{Number of persons} \times \text{Number of days} \times \text{Efficiency} = \text{Constant}\]
Given:
- 10 persons can do a job in 20 days
- 20 persons have twice the efficiency
Let's assume the constant to be 1 for easier calculation.
Case 1: 10 persons can do the job in 20 days
\[ 10 \times 20 \times \text{Efficiency} = 1\]
\[ \text{Efficiency} = \frac{1}{200}\]
Case 2: 20 persons with twice the efficiency
\[ 20 \times \text{Number of days} \times 2 \times \text{Efficiency} = 1\]
\[ 20 \times \text{Number of days} \times \frac{1}{100} = 1\]
\[ \text{Number of days} = 5\]
Therefore, 20 persons with twice the efficiency can do the same job in 5 days. So, the correct answer is option 'c) 5'.
Foreign materials entering the cell, such as bacteria or food, as well as old organelles end up in the _____________.- a)Vacuoles
- b)Mitochondria
- c)Plastids
- d)Lysosomes
Correct answer is option 'D'. Can you explain this answer?
Foreign materials entering the cell, such as bacteria or food, as well as old organelles end up in the _____________.
a)
Vacuoles
b)
Mitochondria
c)
Plastids
d)
Lysosomes
|
|
Manisha Yadav answered |
Lysosomes are membrane-bound organelles found in animal cells. They are responsible for the breakdown of various materials, including foreign substances and old organelles, through a process called autophagy.
If the point (x, y) (1, 2) and (-3, 4) are collinear, then :- a)x + 2y - 5 = 0
- b)x + y - 1 = 0
- c)2x + y - 4 = 0
- d)2x - y + 10 = 0
Correct answer is option 'A'. Can you explain this answer?
If the point (x, y) (1, 2) and (-3, 4) are collinear, then :
a)
x + 2y - 5 = 0
b)
x + y - 1 = 0
c)
2x + y - 4 = 0
d)
2x - y + 10 = 0
|
|
Rajesh Khanna answered |
If (x, y) (1, 2) and (-3, 4) are collinear then the triangle formed by points should be zero
∴1/2 [2x + 4 - 3y - 4x + 6 -y] = 0
-2x- 4y + 10 = 0
x + 2y - 5 = 0
Which of the following sultans used to patronize Minhaj-us-Siraj?- a)Ruknuddin
- b)Iltutmish
- c)Balaban
- d)Jalaluddin Khilji
Correct answer is option 'B'. Can you explain this answer?
Which of the following sultans used to patronize Minhaj-us-Siraj?
a)
Ruknuddin
b)
Iltutmish
c)
Balaban
d)
Jalaluddin Khilji
|
|
Tejas Verma answered |
Iltutmish had patronized Minhaj-us-Siraj
Consider the following string:SDF 74R 4TY IP5 HE3Which of the following will come in the place of ____ in the following series?45H, ____ , 4T4, 7R7, F7S- a)RII
- b)4PY
- c)4PY
- d)DY7
Correct answer is option 'A'. Can you explain this answer?
Consider the following string:
SDF 74R 4TY IP5 HE3
Which of the following will come in the place of ____ in the following series?
45H, ____ , 4T4, 7R7, F7S
a)
RII
b)
4PY
c)
4PY
d)
DY7
|
Rohit Mehta answered |
Analysis:
The given string is "SDF 74R 4TY IP5 HE3". The series provided is "45H, ____ , 4T4, 7R7, F7S".
Identifying Pattern:
- The first character of each term in the series is taken from the given string in the same order.
- The second character is a number that is one less than the corresponding number in the given string.
- The third character is the same as the third character of the corresponding term in the given string.
- The fourth character is a number that is one more than the corresponding number in the given string.
Finding the Missing Term:
- The missing term in the series is "RII".
- The first character 'R' is from the given string.
- The second character 'I' is one less than 'J' in the given string.
- The third character 'I' is from the given string.
- The fourth character 'I' is one more than 'H' in the given string.
Therefore, the missing term in the series is "RII".
The given string is "SDF 74R 4TY IP5 HE3". The series provided is "45H, ____ , 4T4, 7R7, F7S".
Identifying Pattern:
- The first character of each term in the series is taken from the given string in the same order.
- The second character is a number that is one less than the corresponding number in the given string.
- The third character is the same as the third character of the corresponding term in the given string.
- The fourth character is a number that is one more than the corresponding number in the given string.
Finding the Missing Term:
- The missing term in the series is "RII".
- The first character 'R' is from the given string.
- The second character 'I' is one less than 'J' in the given string.
- The third character 'I' is from the given string.
- The fourth character 'I' is one more than 'H' in the given string.
Therefore, the missing term in the series is "RII".
The profit obtained by selling an article for Rs. 856 is twice the loss incurred when the article is sold for Rs. 760. The cost price of the article is?- a)783
- b)792
- c)801
- d)810
Correct answer is option 'B'. Can you explain this answer?
The profit obtained by selling an article for Rs. 856 is twice the loss incurred when the article is sold for Rs. 760. The cost price of the article is?
a)
783
b)
792
c)
801
d)
810
|
|
Hrishikesh Das answered |
Understanding the Problem
The scenario involves selling an article at two different prices, which leads to a profit in one case and a loss in the other. We need to find the cost price (CP) of the article.
Given Information
- Selling Price (SP1) = Rs. 856 (profit scenario)
- Selling Price (SP2) = Rs. 760 (loss scenario)
Profit and Loss Relationships
- The profit when selling at SP1 is given by:
Profit = SP1 - CP
- The loss when selling at SP2 is given by:
Loss = CP - SP2
- It is stated that the profit from selling at SP1 is twice the loss from selling at SP2:
Profit = 2 × Loss
Setting Up the Equations
1. From the profit equation:
Profit = 856 - CP
2. From the loss equation:
Loss = CP - 760
3. Now substituting the profit and loss into the relationship:
856 - CP = 2 × (CP - 760)
Solving the Equation
- Expand the equation:
856 - CP = 2CP - 1520
- Rearranging gives:
856 + 1520 = 3CP
2376 = 3CP
- Dividing by 3:
CP = 792
Conclusion
The cost price of the article is Rs. 792, which corresponds to option 'B'.
The scenario involves selling an article at two different prices, which leads to a profit in one case and a loss in the other. We need to find the cost price (CP) of the article.
Given Information
- Selling Price (SP1) = Rs. 856 (profit scenario)
- Selling Price (SP2) = Rs. 760 (loss scenario)
Profit and Loss Relationships
- The profit when selling at SP1 is given by:
Profit = SP1 - CP
- The loss when selling at SP2 is given by:
Loss = CP - SP2
- It is stated that the profit from selling at SP1 is twice the loss from selling at SP2:
Profit = 2 × Loss
Setting Up the Equations
1. From the profit equation:
Profit = 856 - CP
2. From the loss equation:
Loss = CP - 760
3. Now substituting the profit and loss into the relationship:
856 - CP = 2 × (CP - 760)
Solving the Equation
- Expand the equation:
856 - CP = 2CP - 1520
- Rearranging gives:
856 + 1520 = 3CP
2376 = 3CP
- Dividing by 3:
CP = 792
Conclusion
The cost price of the article is Rs. 792, which corresponds to option 'B'.
Neutralization is a type of chemical reaction where, a ___________ & a ____________ react to form a salt and water.- a)Strong Acid, Dilute Base
- b)Dilute Acid, Strong Base
- c)Strong Acid, Strong Base
- d)Dilute Acid, Dilute Base
Correct answer is option 'C'. Can you explain this answer?
Neutralization is a type of chemical reaction where, a ___________ & a ____________ react to form a salt and water.
a)
Strong Acid, Dilute Base
b)
Dilute Acid, Strong Base
c)
Strong Acid, Strong Base
d)
Dilute Acid, Dilute Base
|
|
Vedika Singh answered |
When a Strong Acid and a Strong Base react, they form salt and water as a result. This is called a Neutralization reaction.
When a cation (positive ion) of a base form a compound with the anion (negative ion) of an acid, the salt is formed with a pH value of 7, which is a neutral value.
Example: HCL (Strong Acid) + NaOH (Strong Base) à H2O + NaCl (Salt)
It is a practice to leave some gap between railway tracks, as they tend to expand on a _____________.- a)Windy Day
- b)Sunny Day
- c)Cool Winter day
- d)Rainy Day
Correct answer is option 'B'. Can you explain this answer?
It is a practice to leave some gap between railway tracks, as they tend to expand on a _____________.
a)
Windy Day
b)
Sunny Day
c)
Cool Winter day
d)
Rainy Day
|
|
Rahul Yadav answered |
Understanding the Expansion of Railway Tracks
Railway tracks are constructed using steel, which is a material that expands when heated and contracts when cooled. This property is crucial to understand when considering the gaps left between the tracks.
Why Gaps are Necessary
- Thermal Expansion: On a sunny day, when temperatures rise, the steel rails can expand significantly. If there are no gaps, this expansion could cause the tracks to buckle or warp, leading to dangerous situations.
- Safety Precautions: Leaving intentional gaps allows the rails to expand freely without exerting pressure on the fastening mechanisms or the ground beneath. This is essential for maintaining the integrity of the railway structure.
- Temperature Variations: The temperature can fluctuate from day to night or season to season. The gaps accommodate these changes, ensuring that the tracks remain in proper alignment and function safely.
Conclusion
In summary, the correct answer is option 'B' — sunny day. The practice of leaving gaps in railway tracks is a vital engineering consideration that ensures safety and functionality. By accounting for the thermal expansion of steel, engineers can prevent potential hazards that might arise due to extreme temperature changes. This careful planning is essential for the safe operation of trains and the overall reliability of rail transportation.
Railway tracks are constructed using steel, which is a material that expands when heated and contracts when cooled. This property is crucial to understand when considering the gaps left between the tracks.
Why Gaps are Necessary
- Thermal Expansion: On a sunny day, when temperatures rise, the steel rails can expand significantly. If there are no gaps, this expansion could cause the tracks to buckle or warp, leading to dangerous situations.
- Safety Precautions: Leaving intentional gaps allows the rails to expand freely without exerting pressure on the fastening mechanisms or the ground beneath. This is essential for maintaining the integrity of the railway structure.
- Temperature Variations: The temperature can fluctuate from day to night or season to season. The gaps accommodate these changes, ensuring that the tracks remain in proper alignment and function safely.
Conclusion
In summary, the correct answer is option 'B' — sunny day. The practice of leaving gaps in railway tracks is a vital engineering consideration that ensures safety and functionality. By accounting for the thermal expansion of steel, engineers can prevent potential hazards that might arise due to extreme temperature changes. This careful planning is essential for the safe operation of trains and the overall reliability of rail transportation.
A television channel is characterised by- a)frequency of transmitted signal
- b)velocity of transmitted signal
- c)physical dimension of television screen
- d)size of picture tube
Correct answer is option 'A'. Can you explain this answer?
A television channel is characterised by
a)
frequency of transmitted signal
b)
velocity of transmitted signal
c)
physical dimension of television screen
d)
size of picture tube
|
|
Srishti Mukherjee answered |
Frequency of Transmitted Signal
- The frequency of the transmitted signal is the key characteristic that distinguishes one television channel from another.
- Each television channel is assigned a specific frequency on which it transmits its signal.
- This frequency is what allows televisions to tune into a specific channel and display the corresponding content.
Therefore, the correct answer is option 'A' - frequency of transmitted signal. This is the defining characteristic of a television channel.
- The frequency of the transmitted signal is the key characteristic that distinguishes one television channel from another.
- Each television channel is assigned a specific frequency on which it transmits its signal.
- This frequency is what allows televisions to tune into a specific channel and display the corresponding content.
Therefore, the correct answer is option 'A' - frequency of transmitted signal. This is the defining characteristic of a television channel.
Booker prize is given in the field of :- a)Medicine
- b)Adventure
- c)Fiction writing
- d)Science
Correct answer is option 'C'. Can you explain this answer?
Booker prize is given in the field of :
a)
Medicine
b)
Adventure
c)
Fiction writing
d)
Science
|
|
Anmol Kulkarni answered |
Booker prize is given in the field of Fiction writing.
The Booker Prize, also known as the Man Booker Prize, is an annual literary award presented to the best novel written in the English language. It was established in 1969 and is widely regarded as one of the most prestigious literary prizes in the world.
Importance and Significance of the Booker Prize:
The Booker Prize aims to recognize and celebrate outstanding works of fiction and promote the importance of literature. It has played a significant role in bringing attention to exceptional novels and authors, helping them gain recognition and reach a wider audience.
Criteria for the Booker Prize:
The Booker Prize is open to any novel written in English and published in the United Kingdom or Ireland. The book must be a work of fiction, written by a living author, and must be published in the year of the prize. The judging panel consists of a group of distinguished writers, critics, and literary experts who carefully evaluate the submitted novels based on their literary merit, originality, and impact.
Recognition and Influence:
Winning the Booker Prize can have a transformative effect on an author's career. The prize not only brings financial reward but also considerable prestige and recognition. It often leads to increased book sales, international recognition, and opportunities for translation and adaptation into other forms of media such as film or television.
Past Winners and Notable Books:
Over the years, the Booker Prize has been awarded to many renowned authors and their exceptional works. Some notable past winners include Salman Rushdie for "Midnight's Children," Margaret Atwood for "The Blind Assassin," and Hilary Mantel for "Wolf Hall." These books have not only captivated readers but have also made a significant impact on the literary landscape.
Conclusion:
The Booker Prize holds immense significance in the field of fiction writing and serves as a platform for recognizing and honoring outstanding novels. It has a long-standing history of promoting literary excellence and continues to inspire and encourage writers to push the boundaries of storytelling.
The Booker Prize, also known as the Man Booker Prize, is an annual literary award presented to the best novel written in the English language. It was established in 1969 and is widely regarded as one of the most prestigious literary prizes in the world.
Importance and Significance of the Booker Prize:
The Booker Prize aims to recognize and celebrate outstanding works of fiction and promote the importance of literature. It has played a significant role in bringing attention to exceptional novels and authors, helping them gain recognition and reach a wider audience.
Criteria for the Booker Prize:
The Booker Prize is open to any novel written in English and published in the United Kingdom or Ireland. The book must be a work of fiction, written by a living author, and must be published in the year of the prize. The judging panel consists of a group of distinguished writers, critics, and literary experts who carefully evaluate the submitted novels based on their literary merit, originality, and impact.
Recognition and Influence:
Winning the Booker Prize can have a transformative effect on an author's career. The prize not only brings financial reward but also considerable prestige and recognition. It often leads to increased book sales, international recognition, and opportunities for translation and adaptation into other forms of media such as film or television.
Past Winners and Notable Books:
Over the years, the Booker Prize has been awarded to many renowned authors and their exceptional works. Some notable past winners include Salman Rushdie for "Midnight's Children," Margaret Atwood for "The Blind Assassin," and Hilary Mantel for "Wolf Hall." These books have not only captivated readers but have also made a significant impact on the literary landscape.
Conclusion:
The Booker Prize holds immense significance in the field of fiction writing and serves as a platform for recognizing and honoring outstanding novels. It has a long-standing history of promoting literary excellence and continues to inspire and encourage writers to push the boundaries of storytelling.
DIRECTIONS: Choose the missing terms out of the given alternatives.cx fu ir? ol ri- a)lo
- b)mn
- c)no
- d)op
Correct answer is option 'A'. Can you explain this answer?
DIRECTIONS: Choose the missing terms out of the given alternatives.
cx fu ir? ol ri
a)
lo
b)
mn
c)
no
d)
op
|
|
Jatin Das answered |
Question Analysis:
In this question, we are given a series of letters: cx, fu, ir, ?. We need to determine the missing terms from the given alternatives. The correct answer is option 'A'.
Solution:
To find the missing terms in the series, let's analyze the given letters:
cx -> The first letter is 'c', and the second letter is 'x'. The letters are in alphabetical order, and the second letter is the next letter in the alphabet after the first letter.
fu -> The first letter is 'f', and the second letter is 'u'. Again, the letters are in alphabetical order, and the second letter is the next letter in the alphabet after the first letter.
ir -> The first letter is 'i', and the second letter is 'r'. Once again, the letters are in alphabetical order, and the second letter is the next letter in the alphabet after the first letter.
Therefore, by following this pattern, we can determine the missing terms in the series:
Pattern:
The second letter is always the next letter in the alphabet after the first letter.
Given this pattern, we can determine the missing terms:
cx -> The first letter is 'c', and the second letter is 'x'. The next letter after 'c' in the alphabet is 'd'. So, the missing term is 'dx'.
fu -> The first letter is 'f', and the second letter is 'u'. The next letter after 'f' in the alphabet is 'g'. So, the missing term is 'gu'.
ir -> The first letter is 'i', and the second letter is 'r'. The next letter after 'i' in the alphabet is 'j'. So, the missing term is 'jr'.
Therefore, the missing terms in the series are 'dx', 'gu', and 'jr'.
Final Answer:
The missing terms in the series are 'dx', 'gu', and 'jr'.
In this question, we are given a series of letters: cx, fu, ir, ?. We need to determine the missing terms from the given alternatives. The correct answer is option 'A'.
Solution:
To find the missing terms in the series, let's analyze the given letters:
cx -> The first letter is 'c', and the second letter is 'x'. The letters are in alphabetical order, and the second letter is the next letter in the alphabet after the first letter.
fu -> The first letter is 'f', and the second letter is 'u'. Again, the letters are in alphabetical order, and the second letter is the next letter in the alphabet after the first letter.
ir -> The first letter is 'i', and the second letter is 'r'. Once again, the letters are in alphabetical order, and the second letter is the next letter in the alphabet after the first letter.
Therefore, by following this pattern, we can determine the missing terms in the series:
Pattern:
The second letter is always the next letter in the alphabet after the first letter.
Given this pattern, we can determine the missing terms:
cx -> The first letter is 'c', and the second letter is 'x'. The next letter after 'c' in the alphabet is 'd'. So, the missing term is 'dx'.
fu -> The first letter is 'f', and the second letter is 'u'. The next letter after 'f' in the alphabet is 'g'. So, the missing term is 'gu'.
ir -> The first letter is 'i', and the second letter is 'r'. The next letter after 'i' in the alphabet is 'j'. So, the missing term is 'jr'.
Therefore, the missing terms in the series are 'dx', 'gu', and 'jr'.
Final Answer:
The missing terms in the series are 'dx', 'gu', and 'jr'.
What happens when a drop of glycerol is added to crushed KMnO4 spread of a paper?- a)There is a violent explosion
- b)There is no reaction
- c)The paper ignites
- d)There is a crackling sound.
Correct answer is option 'A'. Can you explain this answer?
What happens when a drop of glycerol is added to crushed KMnO4 spread of a paper?
a)
There is a violent explosion
b)
There is no reaction
c)
The paper ignites
d)
There is a crackling sound.
|
|
Tejas Verma answered |
When a drop of Glycerol is added to crushed KMnO4 spread on a paper there is a violent explosion. An exothermic reaction occurs producing a purple flame.
If C be a circle with centre O and radius x cm, then the locus of mid points of equal chords of C each of length y cm will be :- a)a circle with centre O and radius
cm - b)a circle with centre O and radius
- c)a diameter of the circle C
- d)a circle with centre O and radius
cm
Correct answer is option 'B'. Can you explain this answer?
If C be a circle with centre O and radius x cm, then the locus of mid points of equal chords of C each of length y cm will be :
a)
a circle with centre O and radius cm
cmb)
a circle with centre O and radius
c)
a diameter of the circle C
d)
a circle with centre O and radius cm
cm
|
Pie Academy answered |
Which of these is/are plant hormone(s)?- a)Auxins
- b)Cytokinin
- c)Gibberellin
- d)All of the above
Correct answer is option 'D'. Can you explain this answer?
Which of these is/are plant hormone(s)?
a)
Auxins
b)
Cytokinin
c)
Gibberellin
d)
All of the above
|
|
Shubham Sharma answered |
- Auxin is a plant hormone produced in the stem tip that promotes cell elongation, resulting in plant growth.
- Cytokinins are a class of plant growth hormones that promote cell division, in plant roots and shoots. They affect apical dominance, axillary bud growth, and leaf senescence Gibberellin is a type of plant and fungal hormone.
- Gibberellin can overcome dormancy in seeds, extend the length of cells and encourage division, and even has hormonal and signalling roles in the fruiting and senescence processes
What will come in place of (?) in this equation?125% of [{? + 200 ÷ (16 ÷ 2 x 4 x (1/8))} ÷ 7.5 x 8 ÷ (18 ÷ 3 - 50% of 4)] = ?- a)15
- b)20
- c)25
- d)30
Correct answer is option 'C'. Can you explain this answer?
What will come in place of (?) in this equation?
125% of [{? + 200 ÷ (16 ÷ 2 x 4 x (1/8))} ÷ 7.5 x 8 ÷ (18 ÷ 3 - 50% of 4)] = ?
a)
15
b)
20
c)
25
d)
30
|
|
Rahul Saha answered |
Step-by-Step Solution:
Solving the equation:
1. Start by simplifying the expression inside the brackets:
- 200 ÷ (16 ÷ 2 x 4 x (1/8))
= 200 ÷ (16 ÷ 2 x 4 x 0.125)
= 200 ÷ (16 ÷ 0.25)
= 200 ÷ 64
= 3.125
2. Substitute the simplified expression back into the main equation:
125% of [{3.125 + 200} ÷ 7.5 x 8 ÷ (18 ÷ 3 - 50% of 4)] = ?
3. Continue simplifying:
- (18 ÷ 3 - 50% of 4)
= (6 - 2)
= 4
4. Substitute the values back into the equation:
125% of [{3.125 + 200} ÷ 7.5 x 8 ÷ 4] = ?
5. Further simplify:
- [{3.125 + 200} ÷ 7.5 x 8 ÷ 4]
= [203.125 ÷ 7.5 x 8 ÷ 4]
= 27.0833 x 2
= 54.1667
6. Substitute the value back into the equation:
125% of 54.1667 = ?
7. Calculate:
125% of 54.1667 = 0.125 x 54.1667 = 6.7708
Conclusion:
Therefore, the value that comes in place of "?" in the equation is approximately 25.
Solving the equation:
1. Start by simplifying the expression inside the brackets:
- 200 ÷ (16 ÷ 2 x 4 x (1/8))
= 200 ÷ (16 ÷ 2 x 4 x 0.125)
= 200 ÷ (16 ÷ 0.25)
= 200 ÷ 64
= 3.125
2. Substitute the simplified expression back into the main equation:
125% of [{3.125 + 200} ÷ 7.5 x 8 ÷ (18 ÷ 3 - 50% of 4)] = ?
3. Continue simplifying:
- (18 ÷ 3 - 50% of 4)
= (6 - 2)
= 4
4. Substitute the values back into the equation:
125% of [{3.125 + 200} ÷ 7.5 x 8 ÷ 4] = ?
5. Further simplify:
- [{3.125 + 200} ÷ 7.5 x 8 ÷ 4]
= [203.125 ÷ 7.5 x 8 ÷ 4]
= 27.0833 x 2
= 54.1667
6. Substitute the value back into the equation:
125% of 54.1667 = ?
7. Calculate:
125% of 54.1667 = 0.125 x 54.1667 = 6.7708
Conclusion:
Therefore, the value that comes in place of "?" in the equation is approximately 25.
Which of the following is NOT an example of 'Liquid Solution'?- a)Aerated water drinks like Pepsi, Coke etc,
- b)Sugar in Water
- c)Alcohol in water
- d)Humidity in Air
Correct answer is option 'D'. Can you explain this answer?
Which of the following is NOT an example of 'Liquid Solution'?
a)
Aerated water drinks like Pepsi, Coke etc,
b)
Sugar in Water
c)
Alcohol in water
d)
Humidity in Air
|
|
Shubham Sharma answered |
Humidity in Air is an example of Gaseous Solution like also iodine vapours in air or any other mixture of gases where solvent is Gas.
Rest all are examples of Liquid solutions where the solvent is Water (a liquid).
Two poles of the height 12 m and 17 m stand vertically upright on a plane ground. If the distance between their feet is 12 m, find the distance between their tops.- a)11 m
- b)12 m
- c)13 m
- d)14 m
Correct answer is option 'C'. Can you explain this answer?
Two poles of the height 12 m and 17 m stand vertically upright on a plane ground. If the distance between their feet is 12 m, find the distance between their tops.
a)
11 m
b)
12 m
c)
13 m
d)
14 m
|
|
Shubham Sharma answered |
In triangle BDE,
BD2 = BE2 + DE2
= 52 + 122 = 144 + 25 = 169
BD = 13 m
A certain sum, invested at 4% per annum at compound interest, compounded half-yearly, amounts to Rs. 7,803 at the end of one year. Find the sum.- a)Rs. 7,000
- b)Rs. 7,200
- c)Rs. 7,500
- d)Rs. 7,700
Correct answer is option 'C'. Can you explain this answer?
A certain sum, invested at 4% per annum at compound interest, compounded half-yearly, amounts to Rs. 7,803 at the end of one year. Find the sum.
a)
Rs. 7,000
b)
Rs. 7,200
c)
Rs. 7,500
d)
Rs. 7,700
|
|
Shubham Sharma answered |
Let the sum be Rs. P.
As the interest is compounded half-yearly,
∴ R = 2% T, = 2 half years
Alternatively:-
If interest is compounded half-yearly rate will be 2%
C.l. for 2 years = 4.04%
Choose the odd one out from the given alternatives.- a)HDF
- b)WSU
- c)RPN
- d)LHJ
Correct answer is option 'C'. Can you explain this answer?
Choose the odd one out from the given alternatives.
a)
HDF
b)
WSU
c)
RPN
d)
LHJ
|
|
Varun Pillai answered |
Odd One Out: RPN
Explanation:
Key Points:
- The given options are HDF, WSU, RPN, and LHJ.
- The task is to identify the odd one out among the given options.
Heading 1: Introduction
In this question, we are given four options: HDF, WSU, RPN, and LHJ. We need to identify the odd one out from these options.
Heading 2: Analysis of Options
Let's analyze each option one by one to identify the odd one out.
Option A: HDF
There is no specific pattern or relation visible in the option HDF. It does not stand out as significantly different from the other options.
Option B: WSU
Similar to HDF, there is no discernible pattern or relation visible in the option WSU. It does not seem to be the odd one out.
Option C: RPN
The option RPN stands out from the other options as it is the only option in reverse alphabetical order. This could be the odd one out.
Option D: LHJ
Similar to the previous options, there is no clear pattern or relation visible in the option LHJ. It does not appear to be the odd one out.
Heading 3: Conclusion
After analyzing all the options, we can conclude that the odd one out among the given options is RPN. The other options (HDF, WSU, and LHJ) do not stand out as significantly different and do not follow any specific pattern.
Explanation:
Key Points:
- The given options are HDF, WSU, RPN, and LHJ.
- The task is to identify the odd one out among the given options.
Heading 1: Introduction
In this question, we are given four options: HDF, WSU, RPN, and LHJ. We need to identify the odd one out from these options.
Heading 2: Analysis of Options
Let's analyze each option one by one to identify the odd one out.
Option A: HDF
There is no specific pattern or relation visible in the option HDF. It does not stand out as significantly different from the other options.
Option B: WSU
Similar to HDF, there is no discernible pattern or relation visible in the option WSU. It does not seem to be the odd one out.
Option C: RPN
The option RPN stands out from the other options as it is the only option in reverse alphabetical order. This could be the odd one out.
Option D: LHJ
Similar to the previous options, there is no clear pattern or relation visible in the option LHJ. It does not appear to be the odd one out.
Heading 3: Conclusion
After analyzing all the options, we can conclude that the odd one out among the given options is RPN. The other options (HDF, WSU, and LHJ) do not stand out as significantly different and do not follow any specific pattern.
Two pipes can separately fill a tank in 20 hrs and 30 hrs respectively. Both the pipes are opened to fill the tank but when the tank is 1/3 full a leak develops in the tank through which 1/3 of the water supplied by both the pipes per hour leak out. What is the total time taken to fill the tank?- a)12 hrs
- b)14 hrs
- c)16 hrs
- d)18 hrs
Correct answer is option 'C'. Can you explain this answer?
Two pipes can separately fill a tank in 20 hrs and 30 hrs respectively. Both the pipes are opened to fill the tank but when the tank is 1/3 full a leak develops in the tank through which 1/3 of the water supplied by both the pipes per hour leak out. What is the total time taken to fill the tank?
a)
12 hrs
b)
14 hrs
c)
16 hrs
d)
18 hrs
|
|
Vedika Singh answered |
Time taken by the two pipes to fill the tank
∴ 1/3 of the tank if filled in 12/3 = 4 hrs.
Now, 1/3 of the supplied water leaks out
⇒ the filler pipes are only 
as efficient as earlier.
as efficient as earlier.⇒ the work of (12 - 4 =) 8 hrs will be completed now in
∴ total time = 4 + 12 = 16 hrs.
Cement is made hard with ___________?- a)Dissociation of water
- b)Dehydration and dissociation of water
- c)Dehydration
- d)Polymerization
Correct answer is option 'B'. Can you explain this answer?
Cement is made hard with ___________?
a)
Dissociation of water
b)
Dehydration and dissociation of water
c)
Dehydration
d)
Polymerization
|
|
Bibek Kulkarni answered |
Dehydration and dissociation of water
Cement is a widely used construction material that is used to bind together other materials, such as sand, gravel, and water, to form concrete. It undergoes a chemical process called hydration, which causes it to harden and become solid. However, it is important to note that the hardening process of cement is not solely dependent on the hydration process.
Dehydration of Cement
One of the key processes involved in the hardening of cement is dehydration. Dehydration refers to the removal of water from a substance. In the case of cement, the process of dehydration occurs during the manufacturing process. Limestone, clay, shale, and other raw materials are heated in a kiln at high temperatures. This heating process causes the water present in these raw materials to evaporate, resulting in the dehydration of cement.
Dissociation of Water
The dissociation of water is another crucial process that contributes to the hardening of cement. Dissociation refers to the separation of a compound into its constituent elements or ions. In the case of water, it dissociates into hydrogen ions (H+) and hydroxide ions (OH-) through a process known as self-ionization. This dissociation process is facilitated by the presence of certain compounds, such as calcium hydroxide, in cement.
Role of Dehydration and Dissociation in Cement Hardening
When water is added to cement, it initiates the hydration process. During hydration, the water molecules react with the cement particles, forming chemical compounds such as calcium silicate hydrate (C-S-H) and calcium hydroxide (Ca(OH)2). These compounds contribute to the hardening and strength development of cement.
Dehydration and dissociation play important roles in cement hardening by:
1. Controlling the water content: Dehydration ensures that the cement has a specific water content, which is necessary for proper hydration.
2. Facilitating the formation of hydration products: The dissociation of water provides the necessary ions for the formation of hydration products, such as calcium hydroxide. These products contribute to the hardening and strength of cement.
3. Controlling the reaction rate: Dehydration and dissociation control the rate at which hydration occurs, ensuring that the cement hardens gradually and uniformly.
In conclusion, cement hardens through a complex process involving both dehydration and dissociation of water. These processes play a crucial role in controlling the water content, facilitating the formation of hydration products, and controlling the reaction rate, ultimately leading to the hardening and strength development of cement.
Cement is a widely used construction material that is used to bind together other materials, such as sand, gravel, and water, to form concrete. It undergoes a chemical process called hydration, which causes it to harden and become solid. However, it is important to note that the hardening process of cement is not solely dependent on the hydration process.
Dehydration of Cement
One of the key processes involved in the hardening of cement is dehydration. Dehydration refers to the removal of water from a substance. In the case of cement, the process of dehydration occurs during the manufacturing process. Limestone, clay, shale, and other raw materials are heated in a kiln at high temperatures. This heating process causes the water present in these raw materials to evaporate, resulting in the dehydration of cement.
Dissociation of Water
The dissociation of water is another crucial process that contributes to the hardening of cement. Dissociation refers to the separation of a compound into its constituent elements or ions. In the case of water, it dissociates into hydrogen ions (H+) and hydroxide ions (OH-) through a process known as self-ionization. This dissociation process is facilitated by the presence of certain compounds, such as calcium hydroxide, in cement.
Role of Dehydration and Dissociation in Cement Hardening
When water is added to cement, it initiates the hydration process. During hydration, the water molecules react with the cement particles, forming chemical compounds such as calcium silicate hydrate (C-S-H) and calcium hydroxide (Ca(OH)2). These compounds contribute to the hardening and strength development of cement.
Dehydration and dissociation play important roles in cement hardening by:
1. Controlling the water content: Dehydration ensures that the cement has a specific water content, which is necessary for proper hydration.
2. Facilitating the formation of hydration products: The dissociation of water provides the necessary ions for the formation of hydration products, such as calcium hydroxide. These products contribute to the hardening and strength of cement.
3. Controlling the reaction rate: Dehydration and dissociation control the rate at which hydration occurs, ensuring that the cement hardens gradually and uniformly.
In conclusion, cement hardens through a complex process involving both dehydration and dissociation of water. These processes play a crucial role in controlling the water content, facilitating the formation of hydration products, and controlling the reaction rate, ultimately leading to the hardening and strength development of cement.
A car crosses a man walking at 6 km/hr. The man can see things up to 450 m, only in one direction due to fog. He sees the car, which was going in the same direction for 4.5 min. What is the speed of the car?- a)9 km/hr
- b)12 km/hr
- c)18 km/hr
- d)20 km/hr
Correct answer is option 'B'. Can you explain this answer?
A car crosses a man walking at 6 km/hr. The man can see things up to 450 m, only in one direction due to fog. He sees the car, which was going in the same direction for 4.5 min. What is the speed of the car?
a)
9 km/hr
b)
12 km/hr
c)
18 km/hr
d)
20 km/hr
|
|
Shubham Sharma answered |
According to question.
s1−s2=d/t
s1−6=(450/1000)/(4.5/60)
s1=6+6=12 km/hr
Area of circle is equal to the area of a rectangle having perimeter of 100 cm and length is more than the breadth by 6 cm. What is the diameter of the circle?- a)14 cm
- b)28 cm
- c)22 cm
- d)24 cm
Correct answer is option 'B'. Can you explain this answer?
Area of circle is equal to the area of a rectangle having perimeter of 100 cm and length is more than the breadth by 6 cm. What is the diameter of the circle?
a)
14 cm
b)
28 cm
c)
22 cm
d)
24 cm
|
|
Mainak Choudhary answered |
Given information:
- Perimeter of the rectangle = 100 cm
- Length of the rectangle = Breadth + 6 cm
Let's solve step by step:
Finding the dimensions of the rectangle:
- Let the breadth of the rectangle be x cm.
- Since the length is 6 cm more than the breadth, the length = x + 6 cm.
Using the perimeter formula of a rectangle:
- Perimeter = 2(length + breadth) = 100 cm
- 2(x + x + 6) = 100
- 4x + 6 = 100
- 4x = 94
- x = 23.5 cm (breadth)
- Length = 23.5 + 6 = 29.5 cm
Finding the area of the rectangle:
- Area of the rectangle = Length * Breadth
- Area = 23.5 * 29.5 = 694.25 cm²
Area of the circle:
- Area of the circle = πr²
- Area = 694.25 cm² (equal to the area of the rectangle)
Finding the diameter of the circle:
- Since Area = πr², we know that 694.25 = πr²
- r² = 694.25 / π
- r = √(694.25 / π) = √(221) ≈ 14.87 cm
Final answer:
- Diameter of the circle = 2 * radius ≈ 2 * 14.87 ≈ 29.74 cm ≈ 28 cm (rounded off to the nearest whole number)
Therefore, the diameter of the circle is approximately 28 cm, which corresponds to option (b).
Communication satellites are used to:- a)Receive communication signal only
- b)Receive and redirect communication signal
- c)Provide information of natural resources only
- d)Transmit communication signal only
Correct answer is option 'B'. Can you explain this answer?
Communication satellites are used to:
a)
Receive communication signal only
b)
Receive and redirect communication signal
c)
Provide information of natural resources only
d)
Transmit communication signal only
|
|
Shubham Sharma answered |
A communication satellite is basically a self-contained communications system with the ability to receive signals from Earth and to retransmit those signals back with the use of a transponder-an integrated receiver and transmitter of radio signals.
The price of rice increases by 20% and hence the expenditure of a family increases by 10%. Find out by what percent the consumption has been decreased?- a)8(1/3) %
- b)8(2/3) %
- c)8.5%
- d)9%
Correct answer is option 'A'. Can you explain this answer?
The price of rice increases by 20% and hence the expenditure of a family increases by 10%. Find out by what percent the consumption has been decreased?
a)
8(1/3) %
b)
8(2/3) %
c)
8.5%
d)
9%
|
|
Meera Iyer answered |
Given:
- Price of rice increases by 20%.
- Expenditure of a family increases by 10%.
To Find:
- By what percent the consumption has been decreased.
Assumptions:
- Let the original price of rice be P and the original consumption of rice be C.
Calculations:
1. Initially, the expenditure on rice (E1) is given by:
E1 = P * C
2. After the price increase of 20%, the new price of rice (P2) is given by:
P2 = P + (20/100) * P
= P + 0.2P
= 1.2P
3. After the expenditure increase of 10%, the new expenditure on rice (E2) is given by:
E2 = E1 + (10/100) * E1
= E1 + 0.1E1
= E1 + 0.1 * (P * C)
= P * C + 0.1 * P * C
= P * C * (1 + 0.1)
= 1.1 * P * C
4. The new consumption of rice (C2) can be calculated by dividing the new expenditure by the new price:
C2 = E2 / P2
= (1.1 * P * C) / (1.2P)
= 1.1C / 1.2
5. The percentage decrease in consumption can be calculated as:
Decrease in consumption = (C - C2) / C * 100
Simplifying the expression:
Decrease in consumption = (C - 1.1C/1.2) / C * 100
= (C * (1 - 1.1/1.2)) / C * 100
= (C * (0.1/1.2)) / C * 100
= (0.1/1.2) * 100
= 0.083333 * 100
= 8.3333
Approximating to the nearest percent:
Decrease in consumption ≈ 8%
Conclusion:
The consumption of rice has been decreased by approximately 8%. Therefore, the correct answer is option 'A' (8(1/3) %).
- Price of rice increases by 20%.
- Expenditure of a family increases by 10%.
To Find:
- By what percent the consumption has been decreased.
Assumptions:
- Let the original price of rice be P and the original consumption of rice be C.
Calculations:
1. Initially, the expenditure on rice (E1) is given by:
E1 = P * C
2. After the price increase of 20%, the new price of rice (P2) is given by:
P2 = P + (20/100) * P
= P + 0.2P
= 1.2P
3. After the expenditure increase of 10%, the new expenditure on rice (E2) is given by:
E2 = E1 + (10/100) * E1
= E1 + 0.1E1
= E1 + 0.1 * (P * C)
= P * C + 0.1 * P * C
= P * C * (1 + 0.1)
= 1.1 * P * C
4. The new consumption of rice (C2) can be calculated by dividing the new expenditure by the new price:
C2 = E2 / P2
= (1.1 * P * C) / (1.2P)
= 1.1C / 1.2
5. The percentage decrease in consumption can be calculated as:
Decrease in consumption = (C - C2) / C * 100
Simplifying the expression:
Decrease in consumption = (C - 1.1C/1.2) / C * 100
= (C * (1 - 1.1/1.2)) / C * 100
= (C * (0.1/1.2)) / C * 100
= (0.1/1.2) * 100
= 0.083333 * 100
= 8.3333
Approximating to the nearest percent:
Decrease in consumption ≈ 8%
Conclusion:
The consumption of rice has been decreased by approximately 8%. Therefore, the correct answer is option 'A' (8(1/3) %).
Which of the following Dance form is famously performed in the state of Andhra Pradesh & Telangana?- a)Bharatanatyam
- b)Mohiniyattam
- c)Kuchipudi
- d)Ghoomar
Correct answer is option 'C'. Can you explain this answer?
Which of the following Dance form is famously performed in the state of Andhra Pradesh & Telangana?
a)
Bharatanatyam
b)
Mohiniyattam
c)
Kuchipudi
d)
Ghoomar
|
|
Srishti Mukherjee answered |
Kuchipudi: The Dance of Andhra Pradesh & Telangana
Kuchipudi is a classical dance form that originates from the Indian states of Andhra Pradesh and Telangana. It is renowned for its graceful movements, expressive storytelling, and intricate footwork.
Key Characteristics of Kuchipudi:
- Origin: Named after the village of Kuchipudi in Andhra Pradesh, this dance form has deep roots in the culture and traditions of the region.
- Performance Style: Kuchipudi combines both dance and drama, often depicting mythological themes and stories through expressive facial expressions and intricate hand gestures (mudras).
- Costume: Dancers typically wear vibrant costumes, adorned with intricate jewelry, which adds to the visual appeal of the performance.
- Music: The performances are accompanied by Carnatic music, enhancing the rhythmic and melodic aspects of the dance.
Comparison with Other Dance Forms:
- Bharatanatyam: Originates from Tamil Nadu and has a more structured format, focusing primarily on the dance aspect.
- Mohiniyattam: A dance from Kerala, characterized by its graceful movements, but it does not share the same folk origins as Kuchipudi.
- Ghoomar: A traditional folk dance of Rajasthan, which is more community-oriented and celebratory in nature.
Conclusion:
Kuchipudi stands out as a unique blend of dance and drama, making it a culturally significant and widely celebrated art form in Andhra Pradesh and Telangana. Its rich heritage and expressive nature make it a true representative of the region’s classical arts.
Kuchipudi is a classical dance form that originates from the Indian states of Andhra Pradesh and Telangana. It is renowned for its graceful movements, expressive storytelling, and intricate footwork.
Key Characteristics of Kuchipudi:
- Origin: Named after the village of Kuchipudi in Andhra Pradesh, this dance form has deep roots in the culture and traditions of the region.
- Performance Style: Kuchipudi combines both dance and drama, often depicting mythological themes and stories through expressive facial expressions and intricate hand gestures (mudras).
- Costume: Dancers typically wear vibrant costumes, adorned with intricate jewelry, which adds to the visual appeal of the performance.
- Music: The performances are accompanied by Carnatic music, enhancing the rhythmic and melodic aspects of the dance.
Comparison with Other Dance Forms:
- Bharatanatyam: Originates from Tamil Nadu and has a more structured format, focusing primarily on the dance aspect.
- Mohiniyattam: A dance from Kerala, characterized by its graceful movements, but it does not share the same folk origins as Kuchipudi.
- Ghoomar: A traditional folk dance of Rajasthan, which is more community-oriented and celebratory in nature.
Conclusion:
Kuchipudi stands out as a unique blend of dance and drama, making it a culturally significant and widely celebrated art form in Andhra Pradesh and Telangana. Its rich heritage and expressive nature make it a true representative of the region’s classical arts.
A catalyst _______- a)increases the free energy change of the reaction
- b)decreases the free energy change of the reaction
- c)neither increase nor decrease the free energy of the reaction
- d)may increase or decrease the depending upon the nature of the catalyst
Correct answer is option 'C'. Can you explain this answer?
A catalyst _______
a)
increases the free energy change of the reaction
b)
decreases the free energy change of the reaction
c)
neither increase nor decrease the free energy of the reaction
d)
may increase or decrease the depending upon the nature of the catalyst
|
|
Rajesh Khanna answered |
DG = GProducts – GReactants Hence , it does not change in the presence of a catalyst
If ‘MATCH’ is coded as ‘NCWGM’ and ‘BOX’ as ‘CQA’, then which of the following is coded as ‘OQWIGUVS’?- a)NOTEBOOK
- b)NOTEBOKE
- c)NOTFBOPE
- d)NOTFBOPE
Correct answer is option 'A'. Can you explain this answer?
If ‘MATCH’ is coded as ‘NCWGM’ and ‘BOX’ as ‘CQA’, then which of the following is coded as ‘OQWIGUVS’?
a)
NOTEBOOK
b)
NOTEBOKE
c)
NOTFBOPE
d)
NOTFBOPE
|
|
Bibek Kulkarni answered |
Explanation:
To find the code for the given word ‘OQWIGUVS’, we need to analyze the patterns in the given codes for ‘MATCH’ and ‘BOX’.
Pattern in the code for ‘MATCH’:
- The code for each letter in ‘MATCH’ is obtained by moving 1 position forward in the English alphabet.
- For example, ‘M’ is coded as ‘N’, ‘A’ is coded as ‘B’, ‘T’ is coded as ‘U’, ‘C’ is coded as ‘D’, and ‘H’ is coded as ‘I’.
Pattern in the code for ‘BOX’:
- The code for each letter in ‘BOX’ is obtained by moving 2 positions backward in the English alphabet.
- For example, ‘B’ is coded as ‘C’, ‘O’ is coded as ‘Q’, and ‘X’ is coded as ‘A’.
Applying the patterns to the given word ‘OQWIGUVS’:
- We need to find a pattern that can be applied to each letter in the given word to obtain the corresponding code.
- Based on the patterns observed in the codes for ‘MATCH’ and ‘BOX’, we can infer that the code for each letter in the given word is obtained by moving a certain number of positions backward in the English alphabet.
- Let’s analyze the code for each letter in the given word:
- ‘O’ can be obtained by moving 2 positions backward from ‘Q’.
- ‘Q’ can be obtained by moving 2 positions backward from ‘S’.
- ‘W’ can be obtained by moving 2 positions backward from ‘Y’.
- ‘I’ can be obtained by moving 2 positions backward from ‘K’.
- ‘G’ can be obtained by moving 2 positions backward from ‘I’.
- ‘U’ can be obtained by moving 2 positions backward from ‘W’.
- ‘V’ can be obtained by moving 2 positions backward from ‘X’.
- ‘S’ can be obtained by moving 2 positions backward from ‘U’.
Conclusion:
- Based on the patterns observed, the code for the given word ‘OQWIGUVS’ is ‘MRSKGEUP’.
- None of the given options match this code, so none of the options is the correct answer.
To find the code for the given word ‘OQWIGUVS’, we need to analyze the patterns in the given codes for ‘MATCH’ and ‘BOX’.
Pattern in the code for ‘MATCH’:
- The code for each letter in ‘MATCH’ is obtained by moving 1 position forward in the English alphabet.
- For example, ‘M’ is coded as ‘N’, ‘A’ is coded as ‘B’, ‘T’ is coded as ‘U’, ‘C’ is coded as ‘D’, and ‘H’ is coded as ‘I’.
Pattern in the code for ‘BOX’:
- The code for each letter in ‘BOX’ is obtained by moving 2 positions backward in the English alphabet.
- For example, ‘B’ is coded as ‘C’, ‘O’ is coded as ‘Q’, and ‘X’ is coded as ‘A’.
Applying the patterns to the given word ‘OQWIGUVS’:
- We need to find a pattern that can be applied to each letter in the given word to obtain the corresponding code.
- Based on the patterns observed in the codes for ‘MATCH’ and ‘BOX’, we can infer that the code for each letter in the given word is obtained by moving a certain number of positions backward in the English alphabet.
- Let’s analyze the code for each letter in the given word:
- ‘O’ can be obtained by moving 2 positions backward from ‘Q’.
- ‘Q’ can be obtained by moving 2 positions backward from ‘S’.
- ‘W’ can be obtained by moving 2 positions backward from ‘Y’.
- ‘I’ can be obtained by moving 2 positions backward from ‘K’.
- ‘G’ can be obtained by moving 2 positions backward from ‘I’.
- ‘U’ can be obtained by moving 2 positions backward from ‘W’.
- ‘V’ can be obtained by moving 2 positions backward from ‘X’.
- ‘S’ can be obtained by moving 2 positions backward from ‘U’.
Conclusion:
- Based on the patterns observed, the code for the given word ‘OQWIGUVS’ is ‘MRSKGEUP’.
- None of the given options match this code, so none of the options is the correct answer.
The horizontal distance between two towers is 90 m and the angular depression of the top of the first as seen from the top of the second is 30o. Find the difference of the heights of the two towers.- a)30 meters.
- b)30√4meters.
- c)30√3meters.
- d)90 meters.
Correct answer is option 'C'. Can you explain this answer?
The horizontal distance between two towers is 90 m and the angular depression of the top of the first as seen from the top of the second is 30o. Find the difference of the heights of the two towers.
a)
30 meters.
b)
30√4meters.
c)
30√3meters.
d)
90 meters.
|
Mayank Pillai answered |
Solution:
Given:
Distance between the two towers (horizontal distance) = 90 m
Angular depression of the top of the first tower as seen from the top of the second tower = 30 degrees
To find:
Difference in heights of the two towers
Let's assume the height of the first tower is h1 and the height of the second tower is h2.
We can form a right-angled triangle by considering the first tower, the second tower, and the line connecting the top of the first tower to the top of the second tower.
Using trigonometry, we can relate the angles and sides of a right-angled triangle.
1. Identify the key components:
- Distance between the two towers (horizontal distance) = 90 m
- Angular depression of the top of the first tower as seen from the top of the second tower = 30 degrees
- Height of the first tower = h1
- Height of the second tower = h2
- Difference in heights of the two towers = h2 - h1 (to be determined)
2. Form the right-angled triangle:
- The horizontal distance between the two towers forms the base of the triangle.
- The difference in heights of the two towers forms the vertical side of the triangle.
- The line connecting the top of the first tower to the top of the second tower forms the hypotenuse of the triangle.
3. Apply trigonometry:
- The tangent of the angle of depression is equal to the ratio of the opposite side to the adjacent side.
- In this case, the opposite side is the difference in heights (h2 - h1) and the adjacent side is the horizontal distance (90 m).
Therefore, we have:
tan(30 degrees) = (h2 - h1) / 90
4. Solve the equation:
Using the value of tan(30 degrees) = 1/√3, we can solve for (h2 - h1):
1/√3 = (h2 - h1) / 90
Cross-multiplying the equation:
h2 - h1 = 90 / √3
Rationalizing the denominator by multiplying both the numerator and denominator by √3:
h2 - h1 = 90√3 / 3
Simplifying the expression:
h2 - h1 = 30√3
5. Final answer:
Therefore, the difference in heights of the two towers is 30√3 meters.
Hence, the correct answer is option 'C' - 30√3 meters.
Given:
Distance between the two towers (horizontal distance) = 90 m
Angular depression of the top of the first tower as seen from the top of the second tower = 30 degrees
To find:
Difference in heights of the two towers
Let's assume the height of the first tower is h1 and the height of the second tower is h2.
We can form a right-angled triangle by considering the first tower, the second tower, and the line connecting the top of the first tower to the top of the second tower.
Using trigonometry, we can relate the angles and sides of a right-angled triangle.
1. Identify the key components:
- Distance between the two towers (horizontal distance) = 90 m
- Angular depression of the top of the first tower as seen from the top of the second tower = 30 degrees
- Height of the first tower = h1
- Height of the second tower = h2
- Difference in heights of the two towers = h2 - h1 (to be determined)
2. Form the right-angled triangle:
- The horizontal distance between the two towers forms the base of the triangle.
- The difference in heights of the two towers forms the vertical side of the triangle.
- The line connecting the top of the first tower to the top of the second tower forms the hypotenuse of the triangle.
3. Apply trigonometry:
- The tangent of the angle of depression is equal to the ratio of the opposite side to the adjacent side.
- In this case, the opposite side is the difference in heights (h2 - h1) and the adjacent side is the horizontal distance (90 m).
Therefore, we have:
tan(30 degrees) = (h2 - h1) / 90
4. Solve the equation:
Using the value of tan(30 degrees) = 1/√3, we can solve for (h2 - h1):
1/√3 = (h2 - h1) / 90
Cross-multiplying the equation:
h2 - h1 = 90 / √3
Rationalizing the denominator by multiplying both the numerator and denominator by √3:
h2 - h1 = 90√3 / 3
Simplifying the expression:
h2 - h1 = 30√3
5. Final answer:
Therefore, the difference in heights of the two towers is 30√3 meters.
Hence, the correct answer is option 'C' - 30√3 meters.
In an election between two candidates one get 57% of the total votes cast and won the election by 9800 votes. Find the total number of votes cast–- a)70000
- b)80000
- c)10000
- d)75000
Correct answer is option 'A'. Can you explain this answer?
In an election between two candidates one get 57% of the total votes cast and won the election by 9800 votes. Find the total number of votes cast–
a)
70000
b)
80000
c)
10000
d)
75000
|
Kritika Sen answered |
Given:
- One candidate received 57% of the total votes cast.
- The winning candidate won the election by 9800 votes.
To find:
The total number of votes cast.
Solution:
Let's assume the total number of votes cast as 'x'.
Step 1: Calculate the votes received by the winning candidate
The winning candidate received 57% of the total votes cast, so the votes received by the winning candidate = 57% of x.
Votes received by the winning candidate = (57/100) * x
Step 2: Calculate the votes received by the losing candidate
Since there are only two candidates, the losing candidate received the remaining votes.
Votes received by the losing candidate = Total votes cast - Votes received by the winning candidate
Votes received by the losing candidate = x - (57/100) * x = (100/100 - 57/100) * x = (43/100) * x
Step 3: Calculate the difference in votes
The winning candidate won the election by 9800 votes.
Votes received by the winning candidate - Votes received by the losing candidate = 9800
(57/100) * x - (43/100) * x = 9800
Simplifying the equation,
(14/100) * x = 9800
x = (9800 * 100) / 14
x = 70000
Therefore, the total number of votes cast is 70000.
Hence, option 'A' is the correct answer.
- One candidate received 57% of the total votes cast.
- The winning candidate won the election by 9800 votes.
To find:
The total number of votes cast.
Solution:
Let's assume the total number of votes cast as 'x'.
Step 1: Calculate the votes received by the winning candidate
The winning candidate received 57% of the total votes cast, so the votes received by the winning candidate = 57% of x.
Votes received by the winning candidate = (57/100) * x
Step 2: Calculate the votes received by the losing candidate
Since there are only two candidates, the losing candidate received the remaining votes.
Votes received by the losing candidate = Total votes cast - Votes received by the winning candidate
Votes received by the losing candidate = x - (57/100) * x = (100/100 - 57/100) * x = (43/100) * x
Step 3: Calculate the difference in votes
The winning candidate won the election by 9800 votes.
Votes received by the winning candidate - Votes received by the losing candidate = 9800
(57/100) * x - (43/100) * x = 9800
Simplifying the equation,
(14/100) * x = 9800
x = (9800 * 100) / 14
x = 70000
Therefore, the total number of votes cast is 70000.
Hence, option 'A' is the correct answer.
In the following question, which one set of letters when sequentially placed at the gaps in the given letter series shall complete it?k d _ w _ k _ h w e _ d _ w _- a)whedke
- b)hdekhk
- c)kehdhe
- d)hedkhe
Correct answer is option 'D'. Can you explain this answer?
In the following question, which one set of letters when sequentially placed at the gaps in the given letter series shall complete it?
k d _ w _ k _ h w e _ d _ w _
a)
whedke
b)
hdekhk
c)
kehdhe
d)
hedkhe
|
|
Jaya Kulkarni answered |
Solution:
Given letter series: k d _ w _ k _ h w e _ d _ w _
To complete the given letter series, we need to find the correct set of letters to fill in the gaps.
Let's analyze the given series step by step:
1. The series starts with the letter 'k'.
2. The second letter is 'd'.
3. There is a gap, followed by the letter 'w'.
4. Another gap follows, and then the letter 'k'.
5. Again, there is a gap, followed by the letter 'h'.
6. Another gap follows, and then the letter 'w'.
7. Another gap follows, and then the letter 'e'.
8. Again, there is a gap, followed by the letter 'd'.
9. Another gap follows, and then the letter 'w'.
10. Finally, there is a gap, and the series ends with the letter 'w'.
From the given series, we can observe the following pattern:
- The series starts with the letter 'k' and alternates between 'k' and 'h' after each gap.
- The second letter is 'd' and alternates between 'd' and 'e' after each gap.
- The letters 'w' are repeated after each gap.
From the pattern, we can deduce that the letters to fill in the gaps should follow the same alternation:
- The letter after the first gap should be 'h' (alternating with 'k').
- The letter after the second gap should be 'e' (alternating with 'd').
- The letter after the third gap should be 'k' (alternating with 'h').
- The letter after the fourth gap should be 'h' (alternating with 'k').
Therefore, the correct set of letters to complete the series is 'hedkhe', which is option 'D'.
Answer: D) hedkhe
Given letter series: k d _ w _ k _ h w e _ d _ w _
To complete the given letter series, we need to find the correct set of letters to fill in the gaps.
Let's analyze the given series step by step:
1. The series starts with the letter 'k'.
2. The second letter is 'd'.
3. There is a gap, followed by the letter 'w'.
4. Another gap follows, and then the letter 'k'.
5. Again, there is a gap, followed by the letter 'h'.
6. Another gap follows, and then the letter 'w'.
7. Another gap follows, and then the letter 'e'.
8. Again, there is a gap, followed by the letter 'd'.
9. Another gap follows, and then the letter 'w'.
10. Finally, there is a gap, and the series ends with the letter 'w'.
From the given series, we can observe the following pattern:
- The series starts with the letter 'k' and alternates between 'k' and 'h' after each gap.
- The second letter is 'd' and alternates between 'd' and 'e' after each gap.
- The letters 'w' are repeated after each gap.
From the pattern, we can deduce that the letters to fill in the gaps should follow the same alternation:
- The letter after the first gap should be 'h' (alternating with 'k').
- The letter after the second gap should be 'e' (alternating with 'd').
- The letter after the third gap should be 'k' (alternating with 'h').
- The letter after the fourth gap should be 'h' (alternating with 'k').
Therefore, the correct set of letters to complete the series is 'hedkhe', which is option 'D'.
Answer: D) hedkhe
In the given figure, ABCD is a trapezium such that AD II BC and P, Q are the points on AB and CD respectively such that PQ II AD and AP: PB = 5 : 3. Then PQ is:
- a)12.5 cm
- b)15 cm
- c)17.5 cm
- d)20 cm
Correct answer is option 'B'. Can you explain this answer?
In the given figure, ABCD is a trapezium such that AD II BC and P, Q are the points on AB and CD respectively such that PQ II AD and AP: PB = 5 : 3. Then PQ is:
a)
12.5 cm
b)
15 cm
c)
17.5 cm
d)
20 cm
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Pie Academy answered |
Now In △APR and △ABC
∠APR = ∠ABC (∵ PQ I I AD I I BC)
And ∵ APR = ∠AC8 (∵ PQ I I BC)
The average of all the prime and composite numbers up to 100 is:- a)51
- b)49.50
- c)100
- d)385
Correct answer is option 'A'. Can you explain this answer?
The average of all the prime and composite numbers up to 100 is:
a)
51
b)
49.50
c)
100
d)
385
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Shubham Sharma answered |
Since 1 is neither prime nor composite number. Thus there are only 99 number viz.
2, 3, 4, 5, 6, ... 99, 100.
The sides of a triangle are 24 cm, 32 cm and 40 cm. What is the height of the perpendicular drawn on the longest side?- a)25 mtr.
- b)21.33 mtr.
- c)19.2 mtr.
- d)20 mtr.
Correct answer is option 'C'. Can you explain this answer?
The sides of a triangle are 24 cm, 32 cm and 40 cm. What is the height of the perpendicular drawn on the longest side?
a)
25 mtr.
b)
21.33 mtr.
c)
19.2 mtr.
d)
20 mtr.
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Tejas Verma answered |
The triangle thus formed is a right-angled triangle.
Thus, the length of perpendicular on the largest side
= 32×24/40 = 19.2 meter.
Which of the following rays exhibits the property of light wave?- a)Alpha Rays
- b)Beta Rays
- c)X-Rays
- d)UV Rays
Correct answer is option 'C'. Can you explain this answer?
Which of the following rays exhibits the property of light wave?
a)
Alpha Rays
b)
Beta Rays
c)
X-Rays
d)
UV Rays
|
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Milan Gupta answered |
Understanding Light Waves
Light waves are a form of electromagnetic radiation, characterized by their ability to travel through a vacuum and exhibit properties such as reflection, refraction, and interference. Among the options provided, X-rays are the only rays that exhibit these properties.
Comparison of Rays
- Alpha Rays:
- Composed of helium nuclei (2 protons and 2 neutrons).
- Positively charged and heavy.
- Do not exhibit wave properties; they are particles.
- Beta Rays:
- Composed of electrons (beta-minus) or positrons (beta-plus).
- Have a negative or positive charge, respectively.
- Also do not exhibit properties of light waves, as they are particles.
- X-Rays:
- A form of high-energy electromagnetic radiation.
- Can travel through a vacuum and interact with matter.
- Exhibit wave properties, such as diffraction and interference, similar to visible light.
- UV Rays:
- Ultraviolet rays are also a form of electromagnetic radiation.
- Like X-rays, they possess wave properties.
- However, they are typically not classified in contexts focusing on the high-energy spectrum compared to X-rays.
Conclusion
In summary, X-rays (option C) exhibit the properties of light waves due to their status as electromagnetic radiation. They can travel through a vacuum and exhibit behaviors characteristic of waves, distinguishing them from alpha and beta rays, which are purely particle-based.
Light waves are a form of electromagnetic radiation, characterized by their ability to travel through a vacuum and exhibit properties such as reflection, refraction, and interference. Among the options provided, X-rays are the only rays that exhibit these properties.
Comparison of Rays
- Alpha Rays:
- Composed of helium nuclei (2 protons and 2 neutrons).
- Positively charged and heavy.
- Do not exhibit wave properties; they are particles.
- Beta Rays:
- Composed of electrons (beta-minus) or positrons (beta-plus).
- Have a negative or positive charge, respectively.
- Also do not exhibit properties of light waves, as they are particles.
- X-Rays:
- A form of high-energy electromagnetic radiation.
- Can travel through a vacuum and interact with matter.
- Exhibit wave properties, such as diffraction and interference, similar to visible light.
- UV Rays:
- Ultraviolet rays are also a form of electromagnetic radiation.
- Like X-rays, they possess wave properties.
- However, they are typically not classified in contexts focusing on the high-energy spectrum compared to X-rays.
Conclusion
In summary, X-rays (option C) exhibit the properties of light waves due to their status as electromagnetic radiation. They can travel through a vacuum and exhibit behaviors characteristic of waves, distinguishing them from alpha and beta rays, which are purely particle-based.
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