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- Question
Two numbers A and B are such that the sum of 5% of A and 4% of B is two-third of the sum of 6% of A and 8% of B. Find the ratio of A : B.
Options- A. 2 : 3
- B. 1 : 1
- C. 3 : 4
- D. 4 : 3
- Correct Answer
- 4 : 3
Explanation5% of A + 4% of B = 2 (6% of A + 8% of B) 3 ⟹ 5 A + 4 B = 2 ❨ 6 A + 8 B ❩ 100 100 3 100 100 ⟹ 1 A + 1 B = 1 A + 4 B 20 25 25 75 ⟹ ❨ 1 - 1 ❩ A = ❨ 4 - 1 ❩ B 20 25 75 25 ⟹ 1 A = 1 B 100 75 A = 100 = 4 . B 75 3 ∴ Required ratio = 4 : 3
- 1. A sum of money lent at compound interest for 2 yr at 20 % pa would fetch ? 964 more, if the interest was payable half-yearly than if it was payable annually. What is the sum?
Options- A. ? 40000
- B. ? 60000
- C. ? 90000
- D. ? 500000 Discuss
- 2. A can complete a piece of work in 12 days and B is 60% more efficient than A. In how many days B will complete the same work ?
Options- A. 8.7 hrs
- B. 5.2 hrs
- C. 5 hrs
- D. 7.5 hrs Discuss
- 3. Twenty women can do a work in sixteen days. Sixteen men can complete the same work in fifteen days. The ratio between the capacity of a man and a woman is
Options- A. 3:4
- B. 4:3
- C. 5:3
- D. 5:7 Discuss
- 4. A can do a piece of work in 15 days and B can do it in 16 days and C can do it 24 days. They started the work together and A leaves after 3 days and B leaves after 4 days from the beginning. How long will work lost ?
Options- A. 10 2/3 days
- B. 13 1/5 days
- C. 12 2/3 days
- D. 11 5/7 days Discuss
- 5. It takes one minute to fill 2/7 th of a vessel. What is the time taken in minutes to fill the whole of the vessel ?
Options- A. 1/7 min
- B. 7/2 min
- C. 5/7 min
- D. 7/5 min Discuss
- 6. A can paint a house in 42 days and B can do it in 21 days. Along with C, they can finish the job in 7 days only.C alone can do the painting job in how many days, ?
Options- A. 9
- B. 12
- C. 14
- D. 15 Discuss
- 7. M, N and O can complete the work in 18, 36 and 54 days respectively. M started the work and worked for 8 days, then N and O joined him and they all worked together for some days. M left the job one day before completion of work. For how many days they all worked together?
Options- A. 4
- B. 5
- C. 3
- D. 6 Discuss
- 8. 70000 a year is how much an hour?
Options- A. 80
- B. 8
- C. 0.8
- D. 0.08 Discuss
- 9. 18 men or 36 boys working 6 hours a day can plough a field in 24 days. In how many days will 24 men and 24 boys working 9 hours a day plough the same field ?
Options- A. 9
- B. 10
- C. 6
- D. 8 Discuss
- 10. A and B can complete a task in 1.5 days. However, A had to leave a few days before the task wascompleted and hence it took 2 days in all to complete the task. If A alone could complete the work in2.625 days, how many days before the work getting over did A leave?
Options- A. 1.125
- B. 0.625
- C. 0.375
- D. 0.875 Discuss
More questions
Correct Answer: ? 40000
Explanation:
Let the sum be ? P .
Then, CI when compounded half - yearly = [P x (1 + 10/100)4 - P] = 4641P/10000
CI when compounded annually = [ P x (1 + 20/100)2 - P] = 11P/25
According to the question, 4641P/10000 - 11P/25 = 964
? [(4641 - 4400)/10000] x P = 964
? P = (964 x 10000)/241
= ? 40000
Correct Answer: 7.5 hrs
Explanation:
Ratio of times taken by A and B = 160 : 100
A can do the work in 12 days
Let B can do the work in "D" days
=> 160:100 = 12 : D
=> D = 12 x 100/160 = 7.5 hrs
Correct Answer: 4:3
Correct Answer: 13 1/5 days
Explanation:
3/15 + 4/16 + x/24 = 1
Correct Answer: 7/2 min
Explanation:
Time taken to fill 2/7 = 1
Then to fill full 1 = ?
? = 1/(2/7) = 7/2 minutes.
Correct Answer: 14
Correct Answer: 5
Explanation:
Let M, N and O worked together for x days.
From the given data,
M alone worked for 8 days
M,N,O worked for x days
N, O worked for 1 day
But given that
M alone can complete the work in 18 days
N alone can complete the work in 36 days
O alone can complete the work in 54 days
The total work can be the LCM of 18, 6, 54 = 108 units
M's 1 day work = 108/18 = 6 units
N's 1 day work = 108/36 = 3 units
O's 1 day work = 108/54 = 2 units
Now, the equation is
8 x 6 + 11x + 5 x 1 = 108
48 + 11x + 5 = 108
11x = 103 - 48
11x = 55
x = 5 days.
Hence, all M,N and O together worked for 5 days.
Correct Answer: 8
Explanation:
Given for year = 70000
=> 365 days = 70000
=> 365 x 24 hours = 70000
=> 1 hour = ?
70000/365x24 = 7.990 = 8
Correct Answer: 8
Correct Answer: 0.875
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