All India CA Foundation Group
Sequence & series past year question?
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Sounak Jain answered • 2 hours ago |
Understanding Sequences and Series
In the realm of mathematics, sequences and series are foundational concepts that form the basis for more advanced topics. Let’s delve into a typical past year question to clarify these concepts.
Defining Sequences
- A sequence is an ordered list of numbers following a specific pattern.
- Each number in a sequence is termed... more
In the realm of mathematics, sequences and series are foundational concepts that form the basis for more advanced topics. Let’s delve into a typical past year question to clarify these concepts.
Defining Sequences
- A sequence is an ordered list of numbers following a specific pattern.
- Each number in a sequence is termed... more
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Puja Singh
asked a question
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A, B, and C are partners sharing profits equally. A retires, and goodwill appearing in the books at Rs. 3,000 is valued at Rs. 6,000. How much will A get credited for goodwill?- a)Rs. 2,000
- b)Rs. 1,000
- c)Rs. 500
- d)Rs. 3,000
Correct answer is option 'B'. Can you explain this answer?
A, B, and C are partners sharing profits equally. A retires, and goodwill appearing in the books at Rs. 3,000 is valued at Rs. 6,000. How much will A get credited for goodwill?
a)
Rs. 2,000
b)
Rs. 1,000
c)
Rs. 500
d)
Rs. 3,000
Sequence & series question?
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Arnab Nambiar answered • 2 hours ago |
Understanding Sequences and Series
Sequences and series are fundamental concepts in mathematics, particularly in algebra and calculus. They form the backbone of many mathematical analyses and applications.
What is a Sequence?
- A sequence is an ordered list of numbers.
- Each number in a sequence is called a term.
- Sequences can be finite (having a limited n... more
Sequences and series are fundamental concepts in mathematics, particularly in algebra and calculus. They form the backbone of many mathematical analyses and applications.
What is a Sequence?
- A sequence is an ordered list of numbers.
- Each number in a sequence is called a term.
- Sequences can be finite (having a limited n... more
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Palak Choudhary
asked a question
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Hari, Roy, and Prasad are partners in the ratio of 3:5:1 respectively. Roy wants to retire, and his share is being purchased by Prasad. What will be the new ratio of Hari and Prasad's shares respectively?- a)2:1
- b)1:2
- c)3:5
- d)Equal
Correct answer is option 'B'. Can you explain this answer?
Hari, Roy, and Prasad are partners in the ratio of 3:5:1 respectively. Roy wants to retire, and his share is being purchased by Prasad. What will be the new ratio of Hari and Prasad's shares respectively?
a)
2:1
b)
1:2
c)
3:5
d)
Equal
A limited liability partnership is:- a)Not a separate entity from that of its partners
- b)A legal entity separate from that of its partners
- c)A body corporate
- d)Only B and C are correct
Correct answer is option 'D'. Can you explain this answer?
A limited liability partnership is:
a)
Not a separate entity from that of its partners
b)
A legal entity separate from that of its partners
c)
A body corporate
d)
Only B and C are correct
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Qudrat Chauhan answered • 7 hours ago |
- A Limited Liability Partnership (LLP) is a legal entity separate from its partners. It has its own identity and can enter into contracts, own assets, and sue or be sued independently.
- An LLP is also recognized as a body corporate, much like a company under law.
- Therefore, statement A is incorrect because an LLP is a separate entity.
Hence, only statements B and C are correct.
When counter offer is made original offer- a)Lapse.
- b)Change.
- c)Continue.
- d)None of the above.
Correct answer is option 'A'. Can you explain this answer?
When counter offer is made original offer
a)
Lapse.
b)
Change.
c)
Continue.
d)
None of the above.
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Sinjini Gupta answered • 8 hours ago |
Understanding Counter Offers
When a counter offer is made in response to an original offer, it fundamentally alters the original agreement. Here's why the correct answer is "A) Lapse."
Definition of Lapse
- When an original offer is made, it remains valid until it is accepted, rejected, or lapses.
- A counter offer effectively rejects the original offer, causing i... more
When a counter offer is made in response to an original offer, it fundamentally alters the original agreement. Here's why the correct answer is "A) Lapse."
Definition of Lapse
- When an original offer is made, it remains valid until it is accepted, rejected, or lapses.
- A counter offer effectively rejects the original offer, causing i... more
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Jatin Mehta
asked a question
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Economic goods are considered scarce resources because they __________.- a)Cannot be increased in quantity.
- b)Do not exist in adequate quantity to satisfy the requirements of the society.
- c)Are of primary importance in satisfying social requirements.
- d)Are limited to man made goods.
Correct answer is option 'B'. Can you explain this answer?
Economic goods are considered scarce resources because they __________.
a)
Cannot be increased in quantity.
b)
Do not exist in adequate quantity to satisfy the requirements of the society.
c)
Are of primary importance in satisfying social requirements.
d)
Are limited to man made goods.
An unsound person ‘B’ is liable for necessaries provided to him to the extent of:
- a)B’s estate
- b)B personally
- c)B’s relative
- d)B’s son
Correct answer is option 'A'. Can you explain this answer?
An unsound person ‘B’ is liable for necessaries provided to him to the extent of:
a)
B’s estate
b)
B personally
c)
B’s relative
d)
B’s son
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Qudrat Chauhan answered • 13 hours ago |
According to Section 68 of the Indian Contract Act, 1872, if necessaries are supplied to a person incapable of entering into a contract (such as an unsound person), the supplier is entitled to be reimbursed from the property of the incapable person. This means the liability is limited to B’s estate and not personal, relative, or son. The law ensures that suppliers of necessaries are protected, but only to the extent of the unsound person’s property.
A minor`s liability for `necessaries` supplied to him- a)arises after he attains majority age
- b)is against only minor`s property
- c)does not arise at all
- d)arises if minor gives a promise for it
Correct answer is option 'B'. Can you explain this answer?
A minor`s liability for `necessaries` supplied to him
a)
arises after he attains majority age
b)
is against only minor`s property
c)
does not arise at all
d)
arises if minor gives a promise for it
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Qudrat Chauhan answered • 13 hours ago |
According to Section 68 of the Indian Contract Act, 1872, when a minor is supplied with necessaries suitable to his condition in life, the supplier is entitled to be reimbursed from the property of the minor. The liability does not arise personally against the minor, but only against the minor’s property. This ensures that minors are protected from personal liability but also allows suppliers to recover the cost of necessaries from the minor’s assets. Therefore, the correct answer is that the liability is only against the minor’s property.
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Jyoti Nair
asked a question
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Each of the 10 persons namely A, Q, R, Z, M, N, P, B, K and L are wearing a shirt. The colour of each shirt is one out of blue, green and red. There are ten chairs placed in a row. The chairs are consecutively numbered 1, 2, 3, 4...9 and 10 from left to right in that order. These ten persons have to sit on the chairs such that there is only one person in each chair. The number of persons wearing a green and a blue shirt is 2 and 3 respectively.Additional Information:
1. No two persons wearing blue shirts sit on consecutively numbered chairs.
2. Among the persons wearing red shirts, exactly three persons always are sitting together while the remaining two never.
3. A person wearing a blue shirt and a person wearing a green shirt never is sitting on consecutively numbered chairs.
4. A person wearing a green shirt cannot sit on chairs numbered 2 or 9.
5. Persons wearing red shirts are not sitting at extreme ends.The following table provides information about the six different seating arrangements namely I, II, III, IV, V and VI of the ten persons done by Mr. Crazy. He observed that out of all the seating arrangements done by him, there is one arrangement that is not consistent with the information stated under "Additional Information".
Q. Which of the arrangements done by Mr. Crazy is not consistent with the information stated under "Additional Information"?... more
Each of the 10 persons namely A, Q, R, Z, M, N, P, B, K and L are wearing a shirt. The colour of each shirt is one out of blue, green and red. There are ten chairs placed in a row. The chairs are consecutively numbered 1, 2, 3, 4...9 and 10 from left to right in that order. These ten persons have to sit on the chairs such that there is only one person in each chair. The number of persons wearing a green and a blue shirt is 2 and 3 respectively.
Additional Information:
1. No two persons wearing blue shirts sit on consecutively numbered chairs.
2. Among the persons wearing red shirts, exactly three persons always are sitting together while the remaining two never.
3. A person wearing a blue shirt and a person wearing a green shirt never is sitting on consecutively numbered chairs.
4. A person wearing a green shirt cannot sit on chairs numbered 2 or 9.
5. Persons wearing red shirts are not sitting at extreme ends.
1. No two persons wearing blue shirts sit on consecutively numbered chairs.
2. Among the persons wearing red shirts, exactly three persons always are sitting together while the remaining two never.
3. A person wearing a blue shirt and a person wearing a green shirt never is sitting on consecutively numbered chairs.
4. A person wearing a green shirt cannot sit on chairs numbered 2 or 9.
5. Persons wearing red shirts are not sitting at extreme ends.
The following table provides information about the six different seating arrangements namely I, II, III, IV, V and VI of the ten persons done by Mr. Crazy. He observed that out of all the seating arrangements done by him, there is one arrangement that is not consistent with the information stated under "Additional Information".
Q. Which of the arrangements done by Mr. Crazy is not consistent with the information stated under "Additional Information"?
A machine worth Rs. 490740 is depreciated at 15% on its opening value each year. When its value would reduce to Rs. 200000?- a)4 years 6 months
- b)4 years 7 months
- c)4 years 5 months
- d)5 years 7 months (appx.)
Correct answer is option 'D'. Can you explain this answer?
A machine worth Rs. 490740 is depreciated at 15% on its opening value each year. When its value would reduce to Rs. 200000?
a)
4 years 6 months
b)
4 years 7 months
c)
4 years 5 months
d)
5 years 7 months (appx.)
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Qudrat Chauhan answered • 13 hours ago |
Given
- Initial value of the machine = Rs. 490740
- Depreciation rate = 15% per annum on opening value
- Final value = Rs. 200000
We need to find the time (in years and months) it takes for the value to reduce to or just below Rs. 200000.
Step-by-step:
This is exponential depreciation, so we use the formula:
V = P(1 - r)^tWhere:
V = 200000(final value)P = 490740(initial value)r = 0.15(15%)t= time in years
Substitute into the formula:
200000 = 490740 × (0.85)^t
200000 / 490740 ≈ (0.85)^t
0.4076 ≈ (0.85)^t
Taking logarithm on both sides:
log(0.4076) = t × log(0.85)
t = log(0.4076) / log(0.85)
t ≈ -0.3894 / -0.0706 ≈ 5.51 years
Convert decimal to years and months:
0.51 × 12 ≈ 6.12 months
So, t ≈ 5 years 6 months
Correct answer: d) 5 years 7 months (approx.) ✅
(Since depreciation occurs in full months/years, we round to the nearest month.)
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Devansh Chatterjee
asked a question
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In a certain code language, ' first of all' is written as 'kan dan san', who is first' is written as 'zan kan ven', and 'this is pale' is written as 'ven gen len'. How will 'who' be written in that language?- a)zan
- b)gen
- c)kan
- d)ven
- e)none of these
Correct answer is option 'A'. Can you explain this answer?
In a certain code language, ' first of all' is written as 'kan dan san', who is first' is written as 'zan kan ven', and 'this is pale' is written as 'ven gen len'. How will 'who' be written in that language?
a)
zan
b)
gen
c)
kan
d)
ven
e)
none of these
The objective of wealth maximization takes into account - a) Amount of returns expected
- b) Timing of anticipated returns
- c) Risk associated with uncertainty of returns
- d) All of the above
Correct answer is option 'D'. Can you explain this answer?
The objective of wealth maximization takes into account
a)
Amount of returns expected
b)
Timing of anticipated returns
c)
Risk associated with uncertainty of returns
d)
All of the above
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Dhruthi Bk answered • yesterday |
Wealth maximisation means increasing the value of the business by focusing on expected returns, their timing, and the risk involved. It ensures better decisions by considering how much return is earned, when it is received, and how risky it is.
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Raghavendra Choudhury
asked a question
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A and B are partners sharing profits and losses in the ratio of 4:1. C was a manager who received the salary of Rs. 2000 p.m. in addition to a commission of 5% on net profits after charging such commission. Profits for the year is Rs. 3,39,000 before charging salary. Find total remuneration of C:- a)Rs. 39,000
- b)Rs. 44,000
- c)Rs. 43,500
- d)Rs. 38,000
Correct answer is option 'A'. Can you explain this answer?
A and B are partners sharing profits and losses in the ratio of 4:1. C was a manager who received the salary of Rs. 2000 p.m. in addition to a commission of 5% on net profits after charging such commission. Profits for the year is Rs. 3,39,000 before charging salary. Find total remuneration of C:
a)
Rs. 39,000
b)
Rs. 44,000
c)
Rs. 43,500
d)
Rs. 38,000
The cost of living index(CLI) is always
(a) Weighted Index
(b) Price Index
(c)Quantity Index
(d)None of these?
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Ritika Iyer answered • yesterday |
Understanding the Cost of Living Index (CLI)
The Cost of Living Index (CLI) is a crucial economic indicator that reflects the relative cost of living in different regions or over time. It helps to assess the changes in the price of goods and services, making it essential for economic analysis, budgeting, and policy-making.
What Type of Index is CLI?
The CLI is categori... more
The Cost of Living Index (CLI) is a crucial economic indicator that reflects the relative cost of living in different regions or over time. It helps to assess the changes in the price of goods and services, making it essential for economic analysis, budgeting, and policy-making.
What Type of Index is CLI?
The CLI is categori... more
In simple interest, a sum of money amounts to ₹ 6,200 in 2 years and ₹ 6,800 in 3 years. Find the principal and rate of interest.- a)Rs. 5000, 12%
- b)Rs. 3000, 20%
- c)Rs. 3500, 15%
- d)none of these
Correct answer is option 'A'. Can you explain this answer?
In simple interest, a sum of money amounts to ₹ 6,200 in 2 years and ₹ 6,800 in 3 years. Find the principal and rate of interest.
a)
Rs. 5000, 12%
b)
Rs. 3000, 20%
c)
Rs. 3500, 15%
d)
none of these
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Qudrat Chauhan answered • yesterday |
Let the principal be P and the rate of interest be R%.
Using the simple interest formula: Amount = Principal + (Principal × Rate × Time) / 100
For 2 years: 6,200 = P + (P × R × 2) / 100 6,200 = P(1 + 2R/100) ... (1)
For 3 years: 6,800 = P + (P × R × 3) / 100 6,800 = P(1 + 3R/100) ... (2)
Subtract equation (1) from equation (2):
6,800 - 6,200 = P[(1 + 3R/100) - (1 + 2R/100)] 600 = P(R/100) P = 600 × 100 / R P = 60,000 / R ... (3)
Substitute P from equation (3) into equation (1):
6,200 = (60,000 / R)(1 + 2R/100) 6,200
=(60,000 / R) + 1,200 6,200 - 1,200
= 60,000 / R 5,000
= 60,000 / R
R = 60,000 / 5,000
R = 12% Now, substitute R back into equation (3):
P = 60,000 / 12 P = 5,000 The principal is ₹5,000 and the rate of interest is 12%.
Using the simple interest formula: Amount = Principal + (Principal × Rate × Time) / 100
For 2 years: 6,200 = P + (P × R × 2) / 100 6,200 = P(1 + 2R/100) ... (1)
For 3 years: 6,800 = P + (P × R × 3) / 100 6,800 = P(1 + 3R/100) ... (2)
Subtract equation (1) from equation (2):
6,800 - 6,200 = P[(1 + 3R/100) - (1 + 2R/100)] 600 = P(R/100) P = 600 × 100 / R P = 60,000 / R ... (3)
Substitute P from equation (3) into equation (1):
6,200 = (60,000 / R)(1 + 2R/100) 6,200
=(60,000 / R) + 1,200 6,200 - 1,200
= 60,000 / R 5,000
= 60,000 / R
R = 60,000 / 5,000
R = 12% Now, substitute R back into equation (3):
P = 60,000 / 12 P = 5,000 The principal is ₹5,000 and the rate of interest is 12%.
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Mohit Mundhara
asked a question
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What major role does the Reserve Bank of India (RBI) play in the Indian money market?- a)Directly lends to individuals
- b)Controls the unorganized money market
- c)Manages the stock exchange transactions
- d)Regulates and influences the money market
Correct answer is option 'D'. Can you explain this answer?
a)
Directly lends to individuals
b)
Controls the unorganized money market
c)
Manages the stock exchange transactions
d)
Regulates and influences the money market
If x/y=z/w, implies y/x=w/z, then the process is called - a)Dividendo
- b)Componendo
- c)Alternendo
- d)none of these
Correct answer is option 'D'. Can you explain this answer?
If x/y=z/w, implies y/x=w/z, then the process is called
a)
Dividendo
b)
Componendo
c)
Alternendo
d)
none of these
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Seema Kumawat answered • 4 days ago |
This is called invertendo so the answer would be (d) none of these
Graphs of the inequations are drawn below:
L1 : 2x +y = 9 L2 : x + y = 7 L3 : x+2y= 10 L4 : x + 3y = 12
The common region (shaded part) indicated on the diagram is expressed by the set of inequalities- a)
- b)
- c)
- d)none of these
Correct answer is option 'C'. Can you explain this answer?
Graphs of the inequations are drawn below:
L1 : 2x +y = 9 L2 : x + y = 7 L3 : x+2y= 10 L4 : x + 3y = 12
The common region (shaded part) indicated on the diagram is expressed by the set of inequalities
L1 : 2x +y = 9 L2 : x + y = 7 L3 : x+2y= 10 L4 : x + 3y = 12
The common region (shaded part) indicated on the diagram is expressed by the set of inequalities
a)
b)
c)
d)
none of these
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Qudrat Chauhan answered • 5 days ago |
The diagram shows the region which is common of the equations of inequality.
We will select one point from the shaded region and write the equations of inequalities.
Lets the consider the point (6,5) and substitute in equations .
2x + y = 12 + 5 = 17 > 9 , x + y = 6 + 5 = 11 > 7
x + 2y = 6 + 10 = 16 >10 , x + 3y = 6 + 15 = 21 >12.
x = 6 >0, y = 5 >0
So the correct option is c.
We will select one point from the shaded region and write the equations of inequalities.
Lets the consider the point (6,5) and substitute in equations .
2x + y = 12 + 5 = 17 > 9 , x + y = 6 + 5 = 11 > 7
x + 2y = 6 + 10 = 16 >10 , x + 3y = 6 + 15 = 21 >12.
x = 6 >0, y = 5 >0
So the correct option is c.
A dietitian wishes to mix together two kinds of food so that the vitamin content of the mixture is at least 9 units of vitamin A, 7 units of vitamin B, 10 units of vitamin C and 12 units of vitamin D. The vitamin content per Kg. of each food is shown below: A B C D Food I : 2 1 1 2 Food II: 1 1 2 3 Assuming x units of food I is to be mixed with y units of food II the situation can be expressed as- a)
- b)
- c)
- d)
Correct answer is option 'D'. Can you explain this answer?
A dietitian wishes to mix together two kinds of food so that the vitamin content of the mixture is at least 9 units of vitamin A, 7 units of vitamin B, 10 units of vitamin C and 12 units of vitamin D. The vitamin content per Kg. of each food is shown below: A B C D Food I : 2 1 1 2 Food II: 1 1 2 3 Assuming x units of food I is to be mixed with y units of food II the situation can be expressed as
a)
b)
c)
d)
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Qudrat Chauhan answered • 5 days ago |
According the data given we get
2x + y ≥ 9, x + y ≥ 7 , x + 2y ≥ 10 and 2x + 3y ≥ 12, x≥ 0 and y ≥ 0
the correct the option is d.
2x + y ≥ 9, x + y ≥ 7 , x + 2y ≥ 10 and 2x + 3y ≥ 12, x≥ 0 and y ≥ 0
the correct the option is d.
L1 : 5x + 3y = 30 L2 : x+y = 9 L3 : y = x/3 L4 : y = x/2 The common region (shaded part) shown in the diagram refers to- a)
- b)
- c)
- d)None of these
Correct answer is option 'D'. Can you explain this answer?
L1 : 5x + 3y = 30 L2 : x+y = 9 L3 : y = x/3 L4 : y = x/2 The common region (shaded part) shown in the diagram refers to
a)
b)
c)
d)
None of these
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Qudrat Chauhan answered • 5 days ago |
The diagram shows the region which is common of the equations of inequality.
We will select one point from the shaded region and write the equations of inequalities.
Lets the consider the point (6, 2.5) and substitute in equations .
5x + 3y = 5(6) + 3(2.5) = 30 + 7.5 = 37.5 > 30
x + y = 6 + 2.5 = 8.5 < 9
x / 3 = 6/3 = 2 < 2.5 < y
So the answer is none of these.
We will select one point from the shaded region and write the equations of inequalities.
Lets the consider the point (6, 2.5) and substitute in equations .
5x + 3y = 5(6) + 3(2.5) = 30 + 7.5 = 37.5 > 30
x + y = 6 + 2.5 = 8.5 < 9
x / 3 = 6/3 = 2 < 2.5 < y
So the answer is none of these.
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Malavika Basak
asked a question
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These questions are based on the following information. P, Q, R, S and T sit around a table. P sits two seats to the left of R and Q sits two seats to the right of R.Q. If a new person U joins the group such that the initial conditions for the seating arrangement should be observed and also a new condition that U does not sit next to P, S or T be satisfied, then who will be the neighbours of P (one on either side)?- a)T and Q
- b)S and Q
- c)T and R
- d)R and Q
- e)S and T
Correct answer is option 'E'. Can you explain this answer?
These questions are based on the following information. P, Q, R, S and T sit around a table. P sits two seats to the left of R and Q sits two seats to the right of R.
Q. If a new person U joins the group such that the initial conditions for the seating arrangement should be observed and also a new condition that U does not sit next to P, S or T be satisfied, then who will be the neighbours of P (one on either side)?
a)
T and Q
b)
S and Q
c)
T and R
d)
R and Q
e)
S and T
The graph to express the inequality y ≤ (½)x is indicated by- a)
- b)
- c)
- d)
Correct answer is option 'D'. Can you explain this answer?
The graph to express the inequality y ≤ (½)x is indicated by
a)
b)
c)
d)
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Qudrat Chauhan answered • 5 days ago |
To plot the graph of y ≤ (½)x, first plote the graph of y =(½)x
It will be a straight line passing through (0 ,0) and (2, 1) .
The graph of inequality is the region satisfying the inequality.
So it is on one side of a line.
Now we will check any one point of one side , if it satisfy the inequality then the shading is done on that side or on the other side.
As the line passes through origin we can not check (0,0).
Let us check (2,0) , When x = 2, then y = 1. 0 < 1 , So (2,0) satisfy the inequality.
So shading must be towards the point . that is towards x axis.
It will be a straight line passing through (0 ,0) and (2, 1) .
The graph of inequality is the region satisfying the inequality.
So it is on one side of a line.
Now we will check any one point of one side , if it satisfy the inequality then the shading is done on that side or on the other side.
As the line passes through origin we can not check (0,0).
Let us check (2,0) , When x = 2, then y = 1. 0 < 1 , So (2,0) satisfy the inequality.
So shading must be towards the point . that is towards x axis.
The graph to express the inequality 5x + 3y ≥ 30 is- a)
- b)
- c)
- d)none of these
Correct answer is option 'C'. Can you explain this answer?
The graph to express the inequality 5x + 3y ≥ 30 is
a)
b)
c)
d)
none of these
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Qudrat Chauhan answered • 5 days ago |
To plot the graph of 5x + 3y ≥ 30 , first plote the graph of 5x + 3y = 30.
It will be a straight line passing through (0 ,10) and (6, 0) .
The graph of inequality is the region satisfying the inequality.
So it is one side of a line.
Now we will check any one point of one side , if it satisfy the inequality then the shading is done on that side or on the other side.
Let us check (0, 0) . 0 + 0 = 0 <30, . So the origin does not satisfy the inequality. so the shading has to be done opposite to the origin.
It will be a straight line passing through (0 ,10) and (6, 0) .
The graph of inequality is the region satisfying the inequality.
So it is one side of a line.
Now we will check any one point of one side , if it satisfy the inequality then the shading is done on that side or on the other side.
Let us check (0, 0) . 0 + 0 = 0 <30, . So the origin does not satisfy the inequality. so the shading has to be done opposite to the origin.
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Shivam Chawla
asked a question
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In general all of the following are requirement for a bailment; except that the: - a)Bailor must be in possession of goods
- b)Bailee must intent to possess goods
- c)Bailee must return identical goods
- d)Actual ownership of goods is necessary
Correct answer is option 'D'. Can you explain this answer?
In general all of the following are requirement for a bailment; except that the:
a)
Bailor must be in possession of goods
b)
Bailee must intent to possess goods
c)
Bailee must return identical goods
d)
Actual ownership of goods is necessary
The graph to express the inequality x + y ≤ 9 is- a)
- b)
- c)
- d)none of these
Correct answer is option 'A'. Can you explain this answer?
The graph to express the inequality x + y ≤ 9 is
a)
b)
c)
d)
none of these
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Qudrat Chauhan answered • 5 days ago |
To plot the graph of x + ≤ 9 , first plote the graph of x + y = 9.
It will be a straight line passing through (0 ,9) and (9, 0) .
The graph of inequality is the region satisfying the inequality.
So it is on side of a line.
Now we will check any one point of one side , if it satisfy the inequality then the shading is done on that side or on the other side.
Let us check (0, 0) . 0 + 0 = 0 < 9, so the shading has to be done towards the origin.
It will be a straight line passing through (0 ,9) and (9, 0) .
The graph of inequality is the region satisfying the inequality.
So it is on side of a line.
Now we will check any one point of one side , if it satisfy the inequality then the shading is done on that side or on the other side.
Let us check (0, 0) . 0 + 0 = 0 < 9, so the shading has to be done towards the origin.
The union however forbids him to employ less than 2 experienced person to each fresh person. This situation can be expressed as- a)x ≤ y/2
- b)y ≤ x/2
- c)y ≥ x /2
- d)x > 2y
Correct answer is option 'B'. Can you explain this answer?
The union however forbids him to employ less than 2 experienced person to each fresh person. This situation can be expressed as
a)
x ≤ y/2
b)
y ≤ x/2
c)
y ≥ x /2
d)
x > 2y
|
|
Qudrat Chauhan answered • 5 days ago |
The union however forbids him to employ less than 2 experienced person to each fresh person. 2y ≤ x. or x ≥ 2y.
The rules and regulations demand that the employer should employ not more than 5 experienced hands to 1 fresh one and this fact can be expressed as- a)y ≥ x/5
- b)5y ≤ x
- c)5 y ≥ x
- d)none of these
Correct answer is option 'C'. Can you explain this answer?
The rules and regulations demand that the employer should employ not more than 5 experienced hands to 1 fresh one and this fact can be expressed as
a)
y ≥ x/5
b)
5y ≤ x
c)
5 y ≥ x
d)
none of these
|
|
Qudrat Chauhan answered • 5 days ago |
The rules and regulations demand that the employer should employ not more than 5 experienced hands to 1 fresh one.
so 5y ≥ x .
so 5y ≥ x .
On the average experienced person does 5 units of work while a fresh one 3 units of work daily but the employer has to maintain an output of at least 30 units of work per day. This situation can be expressed as- a)5x + 3y ≤ 30
- b)5x + 3y >30
- c)5x+3y ≥30 x ≥ 0, y ≥ 0
- d)none of these
Correct answer is option 'C'. Can you explain this answer?
On the average experienced person does 5 units of work while a fresh one 3 units of work daily but the employer has to maintain an output of at least 30 units of work per day. This situation can be expressed as
a)
5x + 3y ≤ 30
b)
5x + 3y >30
c)
5x+3y ≥30 x ≥ 0, y ≥ 0
d)
none of these
|
|
Qudrat Chauhan answered • 5 days ago |
On the average experienced person does 5 units of work while a fresh one 3 units of work daily but the employer has to maintain an output of at least 30 units of work per day.
∴ 5x+3y ≥30 , x ≥ 0, y ≥ 0
∴ 5x+3y ≥30 , x ≥ 0, y ≥ 0
(i) An employer recruits experienced (x) and fresh workmen (y) for his firm under the condition that he cannot employ more than 9 people. x and y can be related by the inequality- a)x + y ≠ 9
- b)x + y ≤ 9 , x ≥ 0, y ≥ 0
- c)x + y ≥ 9 , x ≥ 0, y ≥ 0
- d)none of these
Correct answer is option 'B'. Can you explain this answer?
(i) An employer recruits experienced (x) and fresh workmen (y) for his firm under the condition that he cannot employ more than 9 people. x and y can be related by the inequality
a)
x + y ≠ 9
b)
x + y ≤ 9 , x ≥ 0, y ≥ 0
c)
x + y ≥ 9 , x ≥ 0, y ≥ 0
d)
none of these
|
|
Qudrat Chauhan answered • 5 days ago |
An employer recruits experienced (x) and fresh workmen (y) for his firm under the condition that he cannot employ more than 9 people, it means he has to recriut less than or equal to 9.
∴ x + y ≤ 9.
∴ x + y ≤ 9.
Which of the following statement is true?- a)Consideration must result in a benefit to both parties.
- b)Past consideration is no consideration in India.
- c)Consideration must be adequate.
- d)Consideration must be something, which a promisor is not already bound to do.
Correct answer is option 'D'. Can you explain this answer?
Which of the following statement is true?
a)
Consideration must result in a benefit to both parties.
b)
Past consideration is no consideration in India.
c)
Consideration must be adequate.
d)
Consideration must be something, which a promisor is not already bound to do.
|
|
Qudrat Chauhan answered • 1 week ago |
Consideration in a contract refers to something of value that is exchanged between the parties involved. For consideration to be valid in India:
- It must be something that the promisor is not already obligated to do. This means the promisor should provide something new or additional.
- Past consideration, which is something given or promised before the contract is made, is not acceptable. Therefore, it does not count as valid consideration.
- While consideration should be sufficient and fair, it does not have to be equal in value. The law does not require that the consideration be adequate.
Thus, the statement regarding consideration being something the promisor is not already bound to do is the correct understanding of valid consideration in a contract.
Which Indian state has the lowest density of population?- a)West Bengal
- b)Delhi
- c)Arunachal Pradesh
- d)Mizoram
Correct answer is option 'C'. Can you explain this answer?
Which Indian state has the lowest density of population?
a)
West Bengal
b)
Delhi
c)
Arunachal Pradesh
d)
Mizoram
|
|
Muskaan Tiwari answered • 2 weeks ago |
Introduction
India is a diverse country with varying population densities across its states. Population density is calculated by dividing the total population by the total area of the state. Among the Indian states, Arunachal Pradesh stands out with the lowest population density.
Reasons for Low Population Density in Arunachal Pradesh
- Geographical Factors:... more
India is a diverse country with varying population densities across its states. Population density is calculated by dividing the total population by the total area of the state. Among the Indian states, Arunachal Pradesh stands out with the lowest population density.
Reasons for Low Population Density in Arunachal Pradesh
- Geographical Factors:
A agrees to sell to B a horse for Rs. 25,000 if he wins race and for Rs. 15,000 if he does not. The horse wins the race. The agreement is: - a)Valid and Enforceable
- b)Void and enforceable
- c)Void and wagering
- d)Voidable and wagering
Correct answer is option 'C'. Can you explain this answer?
A agrees to sell to B a horse for Rs. 25,000 if he wins race and for Rs. 15,000 if he does not. The horse wins the race. The agreement is:
a)
Valid and Enforceable
b)
Void and enforceable
c)
Void and wagering
d)
Voidable and wagering
|
Janhavi Basu answered • 2 weeks ago |
Understanding the Agreement
In this scenario, A agrees to sell a horse to B based on the outcome of a race. The price differs based on whether the horse wins or loses.
Key Components of the Agreement
- The price is contingent on the race outcome:
- Rs. 25,000 if the horse wins.
- Rs. 15,000 if the horse does not win.
Classification of the Agreement... more
In this scenario, A agrees to sell a horse to B based on the outcome of a race. The price differs based on whether the horse wins or loses.
Key Components of the Agreement
- The price is contingent on the race outcome:
- Rs. 25,000 if the horse wins.
- Rs. 15,000 if the horse does not win.
Classification of the Agreement... more
|
Gaurav Banerjee
asked a question
|
A company makes an issue of 10,000 equity shares of Rs. 100 each, payable as follows :On application and allotment Rs.50On first call Rs. 25On second and final call Rs. 25Members holding 400 shares did not pay the second call and the shares were duly forfeited 300 of which are reissued as fully paid at Rs. 80 per share. Amount transferred to Capital reserve will be: - a)16500
- b)15000
- c)10000
- d)None
Correct answer is option 'A'. Can you explain this answer?
A company makes an issue of 10,000 equity shares of Rs. 100 each, payable as follows :On application and allotment Rs.50On first call Rs. 25On second and final call Rs. 25Members holding 400 shares did not pay the second call and the shares were duly forfeited 300 of which are reissued as fully paid at Rs. 80 per share. Amount transferred to Capital reserve will be:
a)
16500
b)
15000
c)
10000
d)
None
How many Accounting Standards have been issued by ICAI?- a)25.
- b)20.
- c)32.
- d)2.
Correct answer is option 'C'. Can you explain this answer?
How many Accounting Standards have been issued by ICAI?
a)
25.
b)
20.
c)
32.
d)
2.
|
Pooja Sagar answered • 2 weeks ago |
The Institute of Chartered Accountants of India (ICAI) has issued 28 Accounting Standards (AS) in India. These standards are applicable to companies and other entities that are not required to follow Indian Accounting Standards (Ind AS).
The ICAI has also issued a revised set of Accounting Standards, which are at various stages of formulation. These revised standards, when implemented, will ... more
The ICAI has also issued a revised set of Accounting Standards, which are at various stages of formulation. These revised standards, when implemented, will ... more
DISCOUNT RECEIVED FROM RED & BLACK ₹15 HAS NOT BEEN ENTERED IN THE DISCOUNT COLUMN OF THE CASH BOOK (RECTIFICATION OF ERROR)
I CAN'T UNDERSTAND THE ANSWER
👇👇👇👇👇👇👇👇👇👇👇👇👇👇
RED & BLACK ACC DR.15 ... more
|
|
Malavika Basak answered • 2 weeks ago |
Understanding the Error
When a discount received from Red & Black amounting to ₹15 is not recorded in the discount column of the cash book, it results in an understatement of both the cash balance and the discount income. This is a common error in bookkeeping that needs rectification.
Rectification Process
To correct this error, you need to make an adjustment entry in ... more
When a discount received from Red & Black amounting to ₹15 is not recorded in the discount column of the cash book, it results in an understatement of both the cash balance and the discount income. This is a common error in bookkeeping that needs rectification.
Rectification Process
To correct this error, you need to make an adjustment entry in ... more
The price of hot-dogs increases by 22% and the quantity demanded falls by 25% this indicates that demand for hot dogs is: - a)Elastic
- b)Inelastic
- c)Unitary elastic
- d)Perfectly elastic
Correct answer is option 'A'. Can you explain this answer?
The price of hot-dogs increases by 22% and the quantity demanded falls by 25% this indicates that demand for hot dogs is:
a)
Elastic
b)
Inelastic
c)
Unitary elastic
d)
Perfectly elastic
|
|
Qudrat Chauhan answered • 2 weeks ago |
To determine the type of demand, we calculate the price elasticity of demand (PED) using the formula: PED = (% change in quantity demanded) / (% change in price). Here, PED = (-25%) / (+22%) ≈ -1.14. The absolute value is greater than 1, which means the demand is elastic. Elastic demand means consumers are relatively sensitive to price changes; a small increase in price leads to a larger percentage decrease in quantity demanded.
From the following table by the method of relatives using Arithmetic mean the price Index number is
- a)140.35
- b)148.25
- c)140.75
- d)None of these.
Correct answer is option 'B'. Can you explain this answer?
From the following table by the method of relatives using Arithmetic mean the price Index number is
a)
140.35
b)
148.25
c)
140.75
d)
None of these.
|
|
Qudrat Chauhan answered • 2 weeks ago |
Step 1: Calculate the Price Relative for each commodity
Formula:
Price Relative = (Current Price / Base Price) × 100
| Commodity | Base Price | Current Price | Price Relative |
|---|---|---|---|
| Wheat | 5 | 7 | (7/5) × 100 = 140 |
| Milk | 8 | 10 | (10/8) × 100 = 125 |
| Fish | 25 | 32 | (32/25) × 100 = 128 |
| Sugar | 6 | 12 | (12/6) × 100 = 200 |
Step 2: Calculate the Arithmetic Mean of Price Relatives
Index Number = (140 + 125 + 128 + 200) / 4 = 593 / 4 = 148.25
|
Mansi Behl
asked a question
|
The length of the plot in meters is 1 more than twice its breadth and the area of a rectangle plot is 528m2. Which of the following quadratic equations represents the given situation:- a)x2+2x- 528 = 0
- b)2x2+x- 528 = 0
- c)2x2+x+ 528 = 0
- d)x2+x- 528 = 0
Correct answer is option 'B'. Can you explain this answer?
The length of the plot in meters is 1 more than twice its breadth and the area of a rectangle plot is 528m2. Which of the following quadratic equations represents the given situation:
a)
x2+2x- 528 = 0
b)
2x2+x- 528 = 0
c)
2x2+x+ 528 = 0
d)
x2+x- 528 = 0
If a/b=c/d, implies (a+b)/(a-b) = (c+d)/(c-d), the process is called- a)Componendo
- b)Dividendo
- c)Componendo and Dividendo
- d)none of these
Correct answer is option 'C'. Can you explain this answer?
If a/b=c/d, implies (a+b)/(a-b) = (c+d)/(c-d), the process is called
a)
Componendo
b)
Dividendo
c)
Componendo and Dividendo
d)
none of these
|
|
Qudrat Chauhan answered • 2 weeks ago |
If a ⁄ b = c ⁄ d,
Then by Componendo and Dividendo,
(a + b) ⁄ (a - b) = (c + d) ⁄ (c - d)
I have a doubt about the topic allegation in maths?
|
|
Maheshwar Sharma answered • 3 weeks ago |
Understanding Allegation in Mathematics
Allegation is a method used in mathematics to determine the average of two or more quantities that are mixed together. It’s particularly useful in problems involving mixtures, ratios, and weighted averages.
Key Concepts of Allegation
- Definition: Allegation is a rule that helps in finding the mean or average of different ... more
Allegation is a method used in mathematics to determine the average of two or more quantities that are mixed together. It’s particularly useful in problems involving mixtures, ratios, and weighted averages.
Key Concepts of Allegation
- Definition: Allegation is a rule that helps in finding the mean or average of different ... more
When parties enters into a contract under a mutual mistake of fact the contract is_________ :- a)Valid
- b)Voidable
- c)Void
- d)None of these
Correct answer is option 'C'. Can you explain this answer?
When parties enters into a contract under a mutual mistake of fact the contract is_________ :
a)
Valid
b)
Voidable
c)
Void
d)
None of these
|
|
Gopal Sen answered • 3 weeks ago |
Understanding Mutual Mistake of Fact
When parties enter into a contract under a mutual mistake of fact, it fundamentally affects the validity of the agreement. A mutual mistake occurs when both parties share a common false belief about a vital fact that influences their decision to enter into the contract.
Nature of the Contract
- A contract is considered void w... more
When parties enter into a contract under a mutual mistake of fact, it fundamentally affects the validity of the agreement. A mutual mistake occurs when both parties share a common false belief about a vital fact that influences their decision to enter into the contract.
Nature of the Contract
- A contract is considered void w... more
|
Tarun Mishra
asked a question
|
Statement 1: Pictures can tell a story.
Statement 2: All storybooks have pictures.
Statement 3: Some storybooks have words.If the above statement are facts, then which of the following must also be a fact?
I. Pictures can tell a story better than words can.
II. The stories in storybook are very simple
III. Some storybooks have both words and pictures.- a)I only
- b)II only
- c)III only
- d)None of the statement is a known fact
Correct answer is option 'C'. Can you explain this answer?
Statement 1: Pictures can tell a story.
Statement 2: All storybooks have pictures.
Statement 3: Some storybooks have words.
Statement 2: All storybooks have pictures.
Statement 3: Some storybooks have words.
If the above statement are facts, then which of the following must also be a fact?
I. Pictures can tell a story better than words can.
II. The stories in storybook are very simple
III. Some storybooks have both words and pictures.
I. Pictures can tell a story better than words can.
II. The stories in storybook are very simple
III. Some storybooks have both words and pictures.
a)
I only
b)
II only
c)
III only
d)
None of the statement is a known fact
Trial Balance for the financial year ended 31st March 2022 of M/s Deepakshi shows following details?
|
|
Rajveer Jain answered • 3 weeks ago |
Understanding Trial Balance
A trial balance is an essential accounting tool that lists all the balances of ledger accounts at a specific point in time, ensuring that total debits equal total credits. For M/s Deepakshi, the trial balance for the financial year ended 31st March 2022 reflects the company's financial position and is crucial for preparing financial statements.
Compo... more
A trial balance is an essential accounting tool that lists all the balances of ledger accounts at a specific point in time, ensuring that total debits equal total credits. For M/s Deepakshi, the trial balance for the financial year ended 31st March 2022 reflects the company's financial position and is crucial for preparing financial statements.
Compo... more
|
Jaideep Dasgupta
asked a question
|
Three statements are given followed by two conclusions numbered I and II. Assuming the statements to be true, even if they seem to be at variance with commonly known facts, decide which of the conclusions logically follow(s) from the statements.Statements:All birds are crows.Some crows are parrots.No crow is a pigeon.Conclusions:I. No parrot is a pigeon.II. Some birds are parrots.- a)Only conclusion I follows
- b)Only conclusion II follows
- c)Neither conclusion I nor II follows
- d)Both conclusions I and II follow
Correct answer is option 'C'. Can you explain this answer?
Three statements are given followed by two conclusions numbered I and II. Assuming the statements to be true, even if they seem to be at variance with commonly known facts, decide which of the conclusions logically follow(s) from the statements.
Statements:
All birds are crows.
Some crows are parrots.
No crow is a pigeon.
Conclusions:
I. No parrot is a pigeon.
II. Some birds are parrots.
a)
Only conclusion I follows
b)
Only conclusion II follows
c)
Neither conclusion I nor II follows
d)
Both conclusions I and II follow
|
Nitya Bhatnagar
asked a question
|
J is the brother of K. K is the brother of L. M is the father of J. Based on these three statements, which of the following statements cannot be definitely true?- a)L is the brother of J
- b)K is the son of M
- c)J is the brother of L
- d)K is the brother of J
Correct answer is option 'A'. Can you explain this answer?
a)
L is the brother of J
b)
K is the son of M
c)
J is the brother of L
d)
K is the brother of J
|
Bhavana Chavan
asked a question
|
Which of the following are correct regarding growth during the reform period?
1. The growth of agriculture declined.
2. Theservice sector reported fluctuation.
3. The growth of industrial sectors has gone up.
4. The growth during this phase was mainly driven by the growth in the service sector.
Select the correct answer using the codes given below- a)1, 2 and 3 only
- b)2 and 4 only
- c)1 and 4 only
- d)1 and 3 only
Correct answer is option 'C'. Can you explain this answer?
Which of the following are correct regarding growth during the reform period?
1. The growth of agriculture declined.
2. Theservice sector reported fluctuation.
3. The growth of industrial sectors has gone up.
4. The growth during this phase was mainly driven by the growth in the service sector.
Select the correct answer using the codes given below
1. The growth of agriculture declined.
2. Theservice sector reported fluctuation.
3. The growth of industrial sectors has gone up.
4. The growth during this phase was mainly driven by the growth in the service sector.
Select the correct answer using the codes given below
a)
1, 2 and 3 only
b)
2 and 4 only
c)
1 and 4 only
d)
1 and 3 only
|
Mukul Singh
asked a question
|
Which statement is false?- a)On the eve of independence, agriculture was the principal occupation of people.
- b)Indian economy at the time of independence was an industrial economy.
- c)Railways was developed by the British Raj as a means to enlarge the size of market for the British India.
- d)Indian economy served as a source of raw material for the British industry and market for its finished goods.
Correct answer is option 'B'. Can you explain this answer?
Which statement is false?
a)
On the eve of independence, agriculture was the principal occupation of people.
b)
Indian economy at the time of independence was an industrial economy.
c)
Railways was developed by the British Raj as a means to enlarge the size of market for the British India.
d)
Indian economy served as a source of raw material for the British industry and market for its finished goods.
|
Sumerraj Chaudhari
asked a question
|
X limited spent Rs. 10,00,000 towards construction of office building. It also spent Rs. 50,000 towards construction of temporary store and used the store for building construction purpose. On completion of building construction the store was dismantled and the materials were sold for Rs. 20,000. Mr. A, a supervisor was paid Rs. 60,000 as his salary during the period of construction and he devoted 2/3rd of his time for the building construction. The capitalized cost of office building was:- a)Rs. 10,00,000
- b)Rs. 11,10,000
- c)Rs. 10,90,000
- d)Rs.10,70,000
Correct answer is option 'D'. Can you explain this answer?
X limited spent Rs. 10,00,000 towards construction of office building. It also spent Rs. 50,000 towards construction of temporary store and used the store for building construction purpose. On completion of building construction the store was dismantled and the materials were sold for Rs. 20,000. Mr. A, a supervisor was paid Rs. 60,000 as his salary during the period of construction and he devoted 2/3rd of his time for the building construction. The capitalized cost of office building was:
a)
Rs. 10,00,000
b)
Rs. 11,10,000
c)
Rs. 10,90,000
d)
Rs.10,70,000
|
|
Navya Iyer
asked a question
|
In the following question below are given some statements followed by some conclusions based on those statements Taking the given statements to be true even if they seem to be at variance from commonly known facts. Read all the conclusions and then decide which of the given conclusion logically follows the given statements.Statements:I. All Z are Y.II. Some Y are B.Conclusion:I. Some B are not Z.II. Some Y are not Z.III. Some Z are Y. - a)Both conclusions II and III follows
- b)Both conclusions I and III follows
- c)Only conclusion III follows
- d)All conclusion follows
Correct answer is option 'C'. Can you explain this answer?
In the following question below are given some statements followed by some conclusions based on those statements Taking the given statements to be true even if they seem to be at variance from commonly known facts. Read all the conclusions and then decide which of the given conclusion logically follows the given statements.
Statements:
I. All Z are Y.
II. Some Y are B.
Conclusion:
I. Some B are not Z.
II. Some Y are not Z.
III. Some Z are Y.
a)
Both conclusions II and III follows
b)
Both conclusions I and III follows
c)
Only conclusion III follows
d)
All conclusion follows
|
Raghav Sharma
asked a question
|
Read the given statements and conclusions carefully. Assuming that the information given in the statements is true, even if it appears to be at variance with commonly known facts, decide which of the given conclusions logically follow(s) from the statements.Statements:Some jugs are bottles.
No bottle is a candy.
All spoons are bottles.Conclusions:I. Some jugs are spoons.
Il. No spoon is a candy.
Ill. No jug is a spoon.
IV. No jug is a candy.- a)Either Conclusion I or Ill and II follow.
- b)Only Conclusions Il and III follow.
- c)Only Conclusions I, Il and IV follow.
- d)Either Conclusion I or IV and II follow.
Correct answer is option 'A'. Can you explain this answer?
Read the given statements and conclusions carefully. Assuming that the information given in the statements is true, even if it appears to be at variance with commonly known facts, decide which of the given conclusions logically follow(s) from the statements.
Statements:
Some jugs are bottles.
No bottle is a candy.
All spoons are bottles.
No bottle is a candy.
All spoons are bottles.
Conclusions:
I. Some jugs are spoons.
Il. No spoon is a candy.
Ill. No jug is a spoon.
IV. No jug is a candy.
Il. No spoon is a candy.
Ill. No jug is a spoon.
IV. No jug is a candy.
a)
Either Conclusion I or Ill and II follow.
b)
Only Conclusions Il and III follow.
c)
Only Conclusions I, Il and IV follow.
d)
Either Conclusion I or IV and II follow.
|
|
Rishika Kumar
asked a question
|
1. The central government has missed its disinvestment target almost every year, except in four years, from 2000-01 to 2013-14.
2. The government had a disinvestment target of Rs. 58,425 crore in 2014-15 but could not achieve even 50% of the target.
Q. Which of the above statements is/are not correct?- a)1 only
- b)2 only
- c)Both 1 and 2
- d)Neither 1 nor 2
Correct answer is option 'D'. Can you explain this answer?
1. The central government has missed its disinvestment target almost every year, except in four years, from 2000-01 to 2013-14.
2. The government had a disinvestment target of Rs. 58,425 crore in 2014-15 but could not achieve even 50% of the target.
Q. Which of the above statements is/are not correct?
2. The government had a disinvestment target of Rs. 58,425 crore in 2014-15 but could not achieve even 50% of the target.
Q. Which of the above statements is/are not correct?
a)
1 only
b)
2 only
c)
Both 1 and 2
d)
Neither 1 nor 2
|
Hot Money
asked a question
|
Mohan purchased a machinery amounting Rs. 10,00,000 on 1st April, 2000. On 31st March, 2006 The similar machinery could be purchased for Rs. 20,00,000 but the realizable value of the machinery (purchased on 1.4.2000) was estimated at Rs. 15,00,000. The present discounted value of the future net cash inflows that the machinery was expected to generate in the normal course of business, was calculated as Rs. 12,00,000.
Q. The current cost of the machinery is
... more
Mohan purchased a machinery amounting Rs. 10,00,000 on 1st April, 2000. On 31st March, 2006 The similar machinery could be purchased for Rs. 20,00,000 but the realizable value of the machinery (purchased on 1.4.2000) was estimated at Rs. 15,00,000. The present discounted value of the future net cash inflows that the machinery was expected to generate in the normal course of business, was calculated as Rs. 12,00,000.
Q. The current cost of the machinery is
|
|
Anu Kaur
asked a question
|
Let a, b, c, d be four integers such that a + b + c + d = 4m + 1 where m is a positive integer. Given m, which one of the following is necessarily true?- a)The minimum possible value of a2 + b2 + c2 + d2 is 4m2 - 2m + 1
- b)The maximum possible value of a2 + b2 + c2 + d2 is 4m2 + 2m + 1
- c)The maximum possible value of a2 + b2 + c2 + d2 is 4m2 - 2m + 1
- d)The minimum possible value of a2 + b2 + c2 + d2 is 4m2 + 2m +1
Correct answer is option 'D'. Can you explain this answer?
Let a, b, c, d be four integers such that a + b + c + d = 4m + 1 where m is a positive integer. Given m, which one of the following is necessarily true?
a)
The minimum possible value of a2 + b2 + c2 + d2 is 4m2 - 2m + 1
b)
The maximum possible value of a2 + b2 + c2 + d2 is 4m2 + 2m + 1
c)
The maximum possible value of a2 + b2 + c2 + d2 is 4m2 - 2m + 1
d)
The minimum possible value of a2 + b2 + c2 + d2 is 4m2 + 2m +1
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