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A student who gets 30% of the marks in an exam fails by 50 marks. Another student who gets 320 marks fails by 30 marks. Find the maximum marks.
Let m as maximum marks
Now, according to question
⇒ 0.3 m + 50=320 + 30
⇒0.3 m = 300
m = 1000 marks
If the roots of the equation 6x2 - 25x + p = 0 are real and different, then what can be the value of 'p' if the value of p is any integer greater than 18?
Since, the roots of equation 6x2 - 25x + p = 0 are real and different. So, its discriminant should be positive.
b2 - 4ac > 0
b2 > 4ac
(-25)2 > 4 * 6 * p
625 > 24p
p < 625/24
p < 26.04
Since the value of p is any integer greater than 18 and less than 26.
So, the possible values of p = 19, 20, 21, 22, 23, 24, 25 and 26.
A trader sells two bullocks for Rs 9100 each, neither losing nor gaining in total. If he sold one of the bullocks at a gain of 30%, the other is sold at a loss of
The total selling price of two bullocks = 9100*2 = Rs 18200
Cost price of 1st bullock = 9100*(100/130) = 7000
According to the question, there is no profit or loss.
Therefore cost price of second bullock = 18200 - 7000 = Rs 11200
Selling price of second bullock = Rs 9100
Therefore loss = 11200 - 9100 = Rs 2100
Hence % loss on second bullock = (2100/11200)*100 = 18.75%
Two boxes have the same height, equal to 35 cm. One box has a square base of 10 cm. The other box is cylindrical, and the diameter of its base is 12 cm. What is the difference in their volumes?
Required Difference = Volume of cylinder - volume of cuboid
= πr2h - lbh
= 22/7 x 6 x 6 x 35 - 35 x 10 x 10
= 3960 - 3500 = 460 cm3
3 men can complete a piece of work in 6 days. 5 women can complete the same work in 18 days. In how many days will 4 men and 10 women together complete the same work?
3x6 men = 5x18 women
⇒ 1 man = 5 women
4 men + 10 women = 6 men
M1D1 = M2D2
⇒ 3x6 = 6D2
⇒ D2 = 3 days
What is the equation of line of slope 0.8 and intercept at y-axis is 0.5?
Equation of line-
y = mx + c
Where, m = slope and c = y intercept
Required equation of line-
y = (0.8)x + (0.5)
10y = 8x + 5
8x - 10y + 5 = 0
If there are 15 numbers in the given arithmetic series, then what will be the last term?
293, 305, 317,......
The following series is in the arithmetic progression, as the difference between every two consecutive terms is same. So,
According to the question:
a = 293
d = 305 - 293 = 12
n = 15
an = a + (n - 1)d
= 293 + 14 x 12
= 461
A faulty watch loses 3 minutes every 25 minutes. It was set right at 11:24 p.m. If, on the next day, it shows 01:36 a.m. on the watch, what is the actual time?
Duration from 11:24 p.m. to 01:36 a.m. = 2 hours 12 minutes = 132 minutes.
22 minutes in faulty watch = 25 minutes of actual time
⇒ 22*(132/22) minutes in faulty watch = 25*(132/22) minutes of actual time
⇒ 132 minutes in faulty watch = 150 minutes of actual time or 2 hours 30 minutes of actual time.
Actual time is 11:24 p.m. + 2 hours 30 minutes = 01:54 a.m.
If the height of an equilateral triangle is 2√3 cm, then what is the length of the circumradius of that triangle?
The Left side of the equilateral triangle is 'a' cm.
Height of equilateral triangle = √[a2 - (a/2)2] = (a√3)/2 = 2√3
a = 4 cm
Area of triangle = (1/2) * side * Height = (1/2) * 4 * 2√3 = 4√3 cm2
Length of circumradius of triangle = abc/4△
= (4 * 4 * 4)/(4 * 4√3)
= (4/√3) cm
87.5% of a number exceeds 32.5% of it by 220. Then 28.5% of the number is
Let the no. be N.
Then 87.5% of N - 32.5% of N = 220
⇒ 55% of N = 220
⇒ N = 400
28.5% of 400 = 114
The ratio of the ages of the father and the son at present is 4:1. 4 years later, the ratio will be 3:1. What was the ratio of their ages 4 years ago?
Present age: father =4x son =x
Now, (4x+4)/(x+4) = 3/1
⇒ X= 8.
4 years ago the ages were: father= 32-4=28 son=8-4=4
The required ratio = 28:4 = 7:1
Find the sum to infinity of the geometric progression.
2/3, 2/9, 2/27, 2/81......
The given geometric progression: 2/3, 2/9, 2/27, 2/81......
a = 2/3
Common ratio, r = (2/9)/(2/3) = 1/3 < 1
Therefore, the sum of infinity is given by:
Sum = a/(1 - r) = (2/3)/(1 - 1/3) = 1
What value we get when: (123 - 54 + 22) is divided by (112 + 2)?
= (123 - 54 + 22) ÷ (112 + 2)
= (1728 - 625 + 4) ÷ (123)
= (1107) * (1/123)
= 9
= 32
What is the value of (34 x 289 ÷ 17 + 23 x 22) ÷ (18 x 88 - 79 x 20)?
= (34 x 289 ÷ 17 + 23 x 22) ÷ (18 x 88 - 79 x 20)
= (578 + 506) ÷ (1584 - 1580)
= 1084 ÷ 4
= 271
Seven times the denominator of the fraction is five more than nine times the numerator, and ten times the numerator is eight less than eight times the denominator. Find out the reciprocal of the fraction.
Let us assume the fraction as N/D.
So, 7D = 9N + 5 .... (1)
And, 10N = 8D - 8 .... (2)
Solving these two equations we get,
D = 11 and N = 8.
Since we need to find the reciprocal, so the answer is 11/8.
Let X = 6.121212.. (I)
⇒ 100X = 612.121212.. (II)
(II) - (I) gives,
99X = 606
⇒ X = 202/33
What will be the sum of compound interest and simple interest on Rs 25000 at 20% per annum for 2(1/4) years?
The amount after 2(1/4) years
= 25000 * (1 + 20/100)2(1+(20/4)/100)
= Rs 37800
So compound interest= Rs (37800 - 25000) = Rs 12800
Simple interest= (25000 * 20 * (9/4))/100= Rs 11250
Sum of compound and simple interest= Rs (12800 + 11250) = Rs 24050
A Clock shows 7 a.m. Through how many degrees has the hour hand-turned by 1 p.m. on the same day?
7 a.m. is directly opposite of 1 p.m.
Angle travelled by hour hand = 180°
Alternate method:
number of hours between 7a.m. and 1p.m. = 6
degrees travelled by hour hand in 1 hour = 30o
required answer = 6 X 30 = 180o
What is that minimum number which, when divided by 9, 11 and 15, leaves remainders 4, 6 and 10 respectively?
Here k = (9 - 4) = (11 - 6) = (15 - 10) = 5
The least number which when divided by 9, 11 and 15 leaves remainders 4, 6 and 10 respectively = (LCM of 9, 11 and 15) - k
LCM of 9, 11 and 15 = 495
Required number = 495 - 5 = 490
Following Bar graph shows the marks obtained by Sita and Gita in 5 Subjects: English, Hindi, Mathematics, Geography and history(all out of 100).
What is the difference between the average marks obtained by Gita and Sita?
Difference between the average marks obtained by Sita and Gita
= (70 + 65 + 90 + 85 + 80)/5 - (60 + 75 + 85 + 90 + 60)/5 = 4
The digit in the unit's place of 251 is equal to the remainder when 251 is divided by 10.
25 =32 leaves the remainder 2 when divided by 10.
Then 250 = (25)10 leaves the remainder 210 =(25)2 which in turn leaves the remainder 22= 4
Then 251= 250x 2, when divided by 10, leaves the remainder 4 x 2=8
What will we get on factorization of (x4 + 6x3 + 7x2 - 6x - 8)?
F(x) = x4 + 6x3 + 7x2 - 6x - 8
By hit and trial method, we get -
x = 1, gives F (1) = 0, so, (x - 1) is a factor of F (x)
F (1) = 1 + 6 + 7 - 6 - 8 = 0
Similarly, F(-1)= 0 = 1 + 6(-1) + 7 - 6(-1) - 8 = 1 - 6 + 7 + 6 - 8 = 0
Hence,
(x - 1)(x + 1) i.e. (x2 - 1) is a factor of F (x)
On dividing F(x) by (x2 - 1), we get,
Hence, (x2 + 6x + 8) is other factor = (x+2)(x+4)
Thus, option (c) is correct.
First 10 prime numbers are 2, 3, 5, 7, 11, 13, 17, 19, 23, 29
Hence, average of all these numbers = (2+3+5+7+11+13+17+19+23+29)/10 = 129/10 = 12.9
When the place value of 7 in '16274529' is divided by the place value of 3 in '672345' then, what is the remainder obtained?
Place value of a digit in any number = (face value of the digit) *(value of the place at which digit occurs)
Place value of 7 in '16274529' = 7*10000= 70000
Place value of 3 in '672345' = 300
70000/300 = 700/3
Remainder = 1
30 litres of milk is mixed with 15 litres of water to form a mixture; after this, 30 litres of this mixture is mixed with 10 litres of water to form another mixture. Now, 16 litres of this new mixture is mixed with 10 litres of pure milk and 4 litres of water to form the final mixture. What is the percent profit earned after selling the final mixture?
Given below are the steps involved. Arrange them in sequential order.
(a) Ratio of milk to water when 30 litres of milk is mixed with 15 litres of water = 30: 15 = 2: 1
(b) Percent profit = (12/18) * 100 = 66(2/3)%
(c) Ratio of milk to water when 16 litres of the mixture is mixed with 10 litres of pure milk and 4 litres of water = [16 * (1/2) + 10]: [16 * (1/2) + 4] = 18: 12 = 3: 2
(d) Ratio of milk to water when 30 litres of the mixture is mixed with 10 litres of water = [30 * (2/3)]: [30 * (1/3) + 10] = 20: 20 = 1: 1
(E) Amount of milk and water in the final mixture is 18 litres and 12 litres, respectively.
The correct order is:
(a) Ratio of milk to water when 30 litres of milk is mixed with 15 litres of water = 30: 15 = 2: 1
(d) Ratio of milk to water when 30 litres of the mixture is mixed with 10 litres of water = [30 * (2/3)]: [30 * (1/3) + 10] = 20: 20 = 1: 1
(c) Ratio of milk to water when 16 litres of the mixture is mixed with 10 litres of pure milk and 4 litres of water = [16 * (1/2) + 10]: [16 * (1/2) + 4] = 18: 12 = 3: 2
(E) Amount of milk and water in the final mixture is 18 litres and 12 litres, respectively.
(b) Percent profit = (12/18) * 100 = 66(2/3)%
What is the standard deviation of numbers given below?
5, 8, 9, 12, 12, 10, 16, 8
Mean = (5 + 8 + 9 + 12 + 12 + 10 + 16 + 8)/8 = 10
Variance = ((5 - 10)2 + (8 - 10)2 + (9 - 10)2 + (12 - 10)2 + (12 - 10)2 + (10 - 10)2 + (16 - 10)2 + (8 - 10)2)/8
= 39/4
Standard deviation = √variance = √(39/4) = √39/2
The sum and difference of the LCM and the HCF of the two numbers are 624 and 546 respectively. If the sum of two numbers is 312, find the numbers.
Let the LCM and HCF are p and q, respectively.
So, p + q = 624, p - q = 546
Therefore, p = (624+546)/2 = 585 and q = (624-546)/2 = 39
That means LCM = 585 and HCF = 39
Now, let the numbers be 39a and 39b, where a and b are co-primes.
Therefore 39a + 39b = 312 => a + b = 312/39 = 8
So possible pairs of co-primes, whose sum is 8, are (3,5) and (1,7).
Therefore possible pairs of numbers are
(39*3, 39*5) = (117,195) and
(39*1, 39*7) = (39,273)
Now, LCM*HCF = 585*39 = 22815
Also, 117*195 = 22815 and 39*273 = 10647
Hence, the required numbers are 117 and 195 because the product of two numbers is equal to the product of their LCM and HCF.
Which of the following pairs of numbers are needed to be interchanged to make LHS = RHS?.
6 + 5 x 4 - 10 x 2 = 9 x 3 - 7 x 5 + 12
After replacing 10 and 12, we get: -
6 + 5 x 4 - 12 x 2 = 9 x 3 - 7 x 5 + 10
6 + 20 - 24 = 27 - 35 + 10
2 = 2.
So, option d is the correct answer.
If it was Sunday on 1st July 2012, then which day is 18th November 2012?
Number of days from 1st July to 1st November = 31+ 31 + 30 + 31= 123
Remainder days = 123 - 119= 4 (119 is divisible by 7)
So,
November 1st 2012= Sunday + 4= Thursday
Thus, 15th November = 1+14= Thursday
18th November = Thursday + 3 = Sunday
A person reaches his office 5 minutes late if he travels at 60 km/h and is 10 minutes early if the speed is 90 km/h. Find the distance he needs to travel.
Speed ratio = 60 : 90 = 2 : 3
So, time ratio = 3 : 2
So we can assume the time as 3x and 2x.
Hence 3x - 2x = 10 + 5
Since here he is 5 minutes late and 10 minutes early, so the difference is the summation.
So 2x = 30 minutes.
Hence with a speed of 90 km/h, it takes 30 minutes, so the distance is 45 km.
D said A’s father is the only brother of my sister’s son. How is A’s father related to D?
A’s father is the nephew of D. Hence option (b) is correct.
In the given sequence, how many such symbols and numbers are there, which are either immediately preceded or immediately followed by the letters which are from the first half of the English alphabet?
2 L K @ 8 $ P B 1 V # 6 % G W 9 J C D 4 © 7 F R 4 A
2L, K@, B1, %G, 9J, D4, 7F, 4A,
In the following questions, find out the answer figure which completes the problem figure matrix.
Study the following diagram and answer the questions that follow.
a. The rectangle represents men.
b. The Circle represents graduates.
c. Triangle represents skilled persons.
d. Square represents employed persons.
The skilled employed women who are graduates are-
In the questions given below, some relationship has been expressed through symbols as shown below. Based on the meaning of these symbols and choose the correct answer.
ϕ means ‘less than.’
Δ means ‘not greater than.’
- means ‘equal to.’
+ means ‘not equal to.’
× means ‘not less than.’
= means ‘greater than.’
X - Y = Z implies
Clearly, the meaning of given symbols
X - Y = Z ⇒ X = Y > Z
Using the proper notations/symbols in option(b), we get
X Δ Y x Z ⇒ X ≤ Y ≥ Z ⇒ X = Y > Z
Therefore, X - Y = Z ⇒ X Δ Y x Z
There are two alternate series.
1st series: 5, 6, 7, 8, 9, …... and so on.
2nd series: 2 (×2), 4 (×2), 8 (×2) ... and so on.
How many hexagons are there in the figure given below?
∴ Total hexagons= CDEKLM, CEUKMQ, CFHJMQ, BEUKNP, BFHJNP = 5
‘Suma’ is shorter than ‘Uma’, ‘Neha is taller than ‘Suma’, ‘Sudha’ is taller than ‘Uma’ but shorter than ‘Hema’. ‘Uma’ is taller than ‘Neha’. Who is the tallest among them?
Uma > Suma ---------------- (i)
Neha > Suma ------------------(ii)
Hema > Sudha > Uma > Neha ---------(iii)
On combining the above statement,
Hema > Sudha > Uma > Neha > Suma
Therefore, Hema is the tallest among all.
A word is represented by only one set of numbers as given in anyone of the alternatives. The set of numbers given in the alternatives are represented by two classes of alphabets as in the 2 matrices given below. The columns and rows of Matrix I are from 0 to 4 and that of Matrix II from 5 to 9. A letter can be represented first by its row and next by its column number. e.g., ‘C’ can be represented by 02, 21, etc. ‘T’ can be represented by 65, 96 etc. Similarly, you have to identify the set of words for ‘STAMP’.
S = 55, 86. 67, 98, 79
T = 65, 96, 77, 58, 89
A = 75, 56, 87, 68, 99
M = 30, 11, 42, 23, 04
P = 10, 41, 22, 03, 34
∴ Stamp = 98, 89, 75, 23, 34
DRIVEN is related to EIDRVN in the same way as BEGUM is related to ________.
As,
1 2 3 4 5 6
D R I V E N
E I D R V N
5 3 1 2 4 6
Similarly,
1 2 3 4 5
B E G U M
M G B E U
5 3 1 2 4
Choose the odd one out from the given alternatives.
Select the related word from the given alternatives.
BCG: URP:: LMQ: ???
Same way,
If HOSPITAL is written as 32574618 in a certain code, how would POSTAL be written in that code?
H O S P I T A L
↓ ↓ ↓ ↓ ↓ ↓ ↓ ↓
3 2 5 7 4 6 1 8
So,
P O S T A L
↓ ↓ ↓ ↓ ↓ ↓
7 2 5 6 1 8
Three of the following four are alike in a certain way and hence form a group. Which is the one that does not belong to that group?
Option (a):
Option (b):
Option (c):
Option (d):
Here option (d) does not belong to the group.
In the question below, there are few statements followed by few conclusions. You have to take the given statements to be true even if they seem to be at variance with commonly known facts and then decide which of the given conclusions logically follow(s) from the given statements.
Statements:
1. Some books are pens.
2. Some pens are pencils.
3. All pencils are rubber.
Conclusions:
I. Some books are pencils.
II. No book is a pencil.
Identify the diagram that best represents the relationship among Iron, Lead, Nitrogen.
Choose the correct Venn diagram.
So,
In the following questions, a word is followed by five other words, one of which cannot be formed by using the letters of the given word. Find this word
CLASSIFICATION
If in a certain code language ‘CONTROL’ is written as ‘DMQPWIS’, then how will ‘BROTHQR’ be written in that code?
3 15 14 20 18 15 12
C O N T R O L
↓+1 ↓-2 ↓+3 ↓-4 ↓+5 ↓-6 ↓+7
D M Q P W I S
4 13 17 16 23 9 19
Similarly,
2 18 15 20 8 17 18
B R O T H Q R
↓+1 ↓-2 ↓+3 ↓-4 ↓+5 ↓-6 ↓+7
C P R P M K Y
3 16 18 16 13 11 25
Mohan started walking East and walked 30 metres, then he turned right and walked 50 metres, and he again turned left and walked 40 metres. Again he turned left and walked 50 metres. Now, how far is he from his starting point?
Start point is A
End point is C
AC = AB + BC
= 30 + 40
= 70 (BC = ED)
Solve the following series?
B2F, G4K, L12P, Q38U, ?
The series is as follows:
V118Z will come in place of ‘?’.
What should come at the place of the question mark?
2, A, 9, B, 6, C, 13, D,?
Here,
Series I = 2, 9, 6, 13, ?
Series II = A, B, C, D
n Series I,
A and B are sisters. R and S are brothers. A’s daughter is R’s sister. What is B’s relation to S?
Clearly, B is the aunt of S.
There are two sets of figures, namely problem Figure containing five figures 1, 2, 3, 4, 5 and answer figures (a), (b), (c), (d). You have to select one Figure from the answer set, which will continue the same series as given in problem set figures.
Problem figure
Answer figure
When was Delhi annexed by the Britishers for the first time?
About 50% of the world population is concentrated between the latitudes of_____?
In which state of India the Thattekkad Bird Sanctuary is located?
What is the minimum age of Joining Atal Pension Yojana?
Kerala is famous for the cultivation of
1. Coconut 2. Black pepper 3. Rubber 4. Rice
In the context of Indian agriculture, which irrigation system is most prominent in Andhra Pradesh?
During which dynasty, Mahabalipuram temple was constructed?
What is the literal meaning of the term "Quo-Warranto"?
What will be the day of the week, 15th August 2010?
15th Aug 2010 = (2009 years + period from 1-Jan-2010 to 15-Aug-2010)
We know that number of odd days in 400 years = 0
Hence the number of odd days in 2000 years = 0 (Since 2000 is a perfect multiple of 400)
Number of odd days in the period 2001-2009 = 7normal years + 2leap year
= 7 x 1 + 2 x 2 = 11 = (11 - 7x1) odd day = 4 odd day
Days from1-Jan-2010 to15-Aug-2010 = 31 (Jan) + 28 (Feb) + 31 (Mar) + 30 (Apr) + 31(may) +
30(Jun) +31(Jul) + 15(Aug) = 227
227days = 32weeks + 3day =3 odd days
Total number of odd days = (0 + 4 + 3) = 7 odd days = 0 odd day
0 odd day = Sunday. Hence 15th August, 2010 is Sunday.
Which among the following amendments of the Constitution of India, Delhi was designated as National Capital Territory (NCT)?
The post of Vice President has been inspired by the constitution of
Which two countries’ Prime Ministers have been nominated for Nobel Peace Prize 2019 for signing the Prespa Agreement?
A resistor having a very low value of resistance is called ____________resistance.
The shunt resistor is mainly made of the material having a low-temperature coefficient of resistance.
In an electrical circuit, it is generally connected in parallel with the ammeter whose range is to be extended.
Which of the following enzymes is present in the saliva of humans and other mammals?
It helps in breaking down complex starch and starting the first process of digestion.
It is present in humans and many other herbivorous mammals.
The ability of a capacitor to store electrical energy is called _____________.
The capacitor is made of 2 closely placed conducting plates which are separated by a dielectric material.
The plates accumulate electric charge when connected to the power source. One plate accumulates a positive charge, and the other plate accumulates a negative charge.
Greenockite is a chief ore of which of the following metals?
It occurs naturally in the mix with sulphides like Galena and Sphalerite while also being recovered in the extraction of Copper and Zinc as a by-product.
The resistivity of a semiconductor __________ with increase in temperature.
The resistance offered by a wire of unit length and unit cross-sectional area is called resistivity.
The resistivity of an alloy increases with an increase in temperature.
The ohmmeter is the SI unit of resistivity, represented by Ω m.
Which part of Mechanical Physics deals with forces acting on and in a body at rest?
Mechanics is a branch of physics concerned with the motion of bodies under the action of forces, including when a body remains at rest.
Mechanics is generally divided into three branches. The others are:
kinematics, which describes the possible motions of a body or system of bodies &
kinetics, which attempts to explain or predict the kind of motion that will occur in a given specific situation.
Which of the following is/are a component of Acid Rain?
Acid Rain is when sulphuric and nitric acids formed in the atmosphere fall to the ground in precipitation mixed with rain, snow or fog.
Major sources-
- Burning of fossil fuels
- Manufacturing, oil refineries and other industries
__________ hormone secreted in the body helps to prepare the body for 'fight or flight'.
They are released into the bloodstream and serve as chemical mediators, conveying the nerve impulses to various organs of the body.
Which of the following organs in the digestive system produces succus, which helps in digestion?
It helps counteract the highly acidic juices entering from the stomach to the intestinal organs in the digestive system.
All magnets lose their magnetic properties when ____________.
Its molecular motion destroys the alignment of magnetic domains.
_____________ _ part of the brain is responsible for the sensation of heat, cold and pain in the body.
It is present just above the cerebral cortex and has nerve extension to the midbrain.
An isobaric process in a thermodynamic system is a process in which the __________ remains constant.
Work at a constant pressure may be calculated using the equation, W = p * Δ V
• If the thermodynamic system expands (ΔV is positive), hence the system does positive work and vice versa.
• If the thermodynamic system contracts (ΔV is negative), hence the system does negative work and vice versa.
_____________ is an after-extraction process where metal is given its desired shape.
Forging is an after-extraction process where metal is given its desired shape.
Smelting is a process to mix and melt metallic ores to control the pure metallic content according to specification in an industry.
Soldering is when two or more metal items are joined together by melting and then flowing a filler metal into the joint - the filler metal having a relatively low melting point. Soldering is used to form a permanent connection between electronic components.
Which of the following is used as a preservative for food packaging purposes?
Sodium Benzoate is widely used as a preservative in food packaging.
Chemical Formulae: C₇H₅NaO₂
Under acidic conditions, it acts as an antibacterial and antifungal compound.
Example- Salad dressings, packaged jams & pickles, carbonated drinks etc.
Joule's law of heating gives a relationship of heat with ________.
The heat produced (H) in a conductor due to the flow of current is directly proportional to the square of the current (H α I2), the resistance of the conductor (H α R) and time passed (H α t).
Giving us the expression, H α I2Rt
When an electric current is passed through a conductor, heat is produced after some time, called the heating effect of current.
This effect is also called Joule's heating effect.
Recently noted Classical Musician Ustad Imrat Khan passed away. He was famous for playing ___________.
He had turned down the Padma Shri last year, saying the recognition had come too late & diminished his achievements.
Which of the following is used in the manufacturing of dyes?
Nitric Acid: HNO3 is the chief compound used for nitration, for it is a strong oxidising agent.
Nitration is used in the manufacturing of Pigments like dyes and inks.
It is also used in manufacturing explosives.
Specific heat is the amount of heat required per unit mass of the compound to raise its temperature by ____________ Celsius.
Specific heat is the amount of heat required per unit mass of the compound to raise its temperature by one degree Celsius.
The scientific equation involved in the calculation of heat variation with respect to temperature change can be denoted by,
Q = cmΔT
Q- heat added, c- Specific heat, m- the mass of the compound, T- temperature
Acceleration in the opposite direction is known as _______.
Negative acceleration is also known as retardation or deceleration.
Acceleration is a vector quantity. So, if an object’s velocity decreases, then the object is said to be moving with negative acceleration.
Acceleration of an object is defined as the rate of change of velocity of the object with respect to time.
Acceleration (a) = Velocity/time.
The SI unit of acceleration is m/s2
A body of mass 30 kg is travelling at a constant velocity of 50 m/s; what is the momentum of the moving mass?
The momentum of a mass (M), moving with velocity (V), is calculated as
Momentum(p)= M x V
According to the question, p= 30 x 50
P= 1500 kg m/s
Displacement is a vector quantity because it can be only described by using both magnitude as well as direction.
Impulse is a vector quantity, and its direction is the direction of force acting.
Acceleration is a vector quantity which is the rate of velocity change, and its direction is the same as velocity.
Find the energy transferred through the circuit if the current flow through the circuit is 4 Amperes for 10 min and the potential difference is 20 V.
Potential difference = 20 V
Current I = 4 A, Time t = 10 minutes = 10 x 60 = 600 sec
Charge Q = It
= 4 x 600 = 2400 C
Energy transferred through the circuit W = VQ
= 20 x 2400
= 48,000 J or 48 kJ
Match the following acids with their respective items in which they are found
Citric Acid | Sour Milk |
Malic Acid | Sugarcane |
Glycolic Acid | Oranges |
Lactic Acid | Apples |
Citric Acid | Oranges |
Malic Acid | Apples |
Glycolic Acid | Sugarcane |
Lactic Acid | Sour Milk |
Which of the following hormones is/are produced by ovarian organs in the female reproductive system?
Both Progesterone and Estrogen release is triggered by the hypothalamus part of the brain.
They are necessary to prepare the uterus for menstruation.
Which of the following acids can be used as a general antiseptic?
Chemical Formulae: H3BO3, Hydrogen Borate.
It is a weak acid and helps in the absorption of other chemicals which are harmful to be used as antiseptic/ antifungal agents.
Kanha National Park is situated in which Indian state?
The national park is famous as the Tiger reserve and is considered one of the finest tiger reserves in the world.
Alkali and Alkaline earth metals are present in which block of the periodic table?
s- block- Alkali and Alkaline earth metals.
p- Block- Chalcogen, Picogens, Halogen and noble gases
d- block- Transition Elements
f- block- Inner Transition Elements
Deficiency of which of the following vitamins leads to Anemia?
Vitamin B12 deficiency in the body can lead to Anemia.
Vitamin B12 helps in the production of red blood cells, responsible for carrying the oxygen in the body.
This causes fatigue, memory loss and may lead to damage of the nervous system in the body.
It is a state function having the dimensions of energy, that is, joules/kg.
Specific Enthalpy is the total energy in a system due to pressure and temperature per unit of mass in that system.
Enthalpy is a thermodynamic property of a system defined by the sum of the internal energy added to the product of the pressure and volume of the system.
Measuring the change in enthalpy helps to know whether a reaction was endothermic or exothermic.
Atomic mass of the most common isotope of Potassium is________.
Even though there are many isotopes of potassium known, the most common and stable of them all is with atomic mass 39.
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