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- Question
A works twice as fast as B. If B can complete a work in 12 days independently, the number of days in which A and B can together finish the work in :
Options- A. 4 days
- B. 6 days
- C. 8 days
- D. 18 days
- Correct Answer
- 4 days
ExplanationRatio of rates of working of A and B = 2 : 1.So, ratio of times taken = 1 : 2.
B's 1 day's work = 1 . 12 ∴ A's 1 day's work = 1 ; (2 times of B's work) 6 (A + B)'s 1 day's work = ❨ 1 + 1 ❩ = 3 = 1 . 6 12 12 4 So, A and B together can finish the work in 4 days.
More questions
- 1. A, B and C are employed to do a piece of work for $575. A and C are supposed to finish 19 / 23 of the work together. Amount shall be paid to B is:
Options- A. $210
- B. $100
- C. $200
- D. $475 Discuss
Correct Answer: $100
Explanation:
- 2. Which one of the following can't be the square of natural number?
Options- A. 32761
- B. 81225
- C. 42437
- D. 20164
- E. None of these Discuss
Correct Answer: 42437
Explanation:
The square of a natural number never ends in 7.∴42437 is not the square of a natural number.
- 3. A number gets reduced to its one-third, when 48 is subtracted from it. What is two-third of that number?
Options- A. 24
- B. 72
- C. 36
- D. None of these Discuss
Correct Answer: None of these
Explanation:
Let the number be N.
Then, N - N/3 = 48
2N/3 = 48.- 4. 100 oranges are bought at the rate of Rs. 350 and sold at the rate of Rs. 48 per dozen. The percentage of profit or loss is:
Options- A. 14 2⁄7% gain
- B. 15% gain
- C. 14 2⁄7% loss
- D. 15 % loss Discuss
Correct Answer: 14 2⁄7% gain
Explanation:
C.P. of 1 orange = Rs. ❨ 350 ❩ = Rs. 3.50 100 S.P. of 1 orange = Rs. ❨ 48 ❩ = Rs. 4 12 ∴ Gain% = ❨ 0.50 x 100 ❩% = 100 % = 14 2 % 3.50 7 7 - 5. E being always in the middle.
Options- A. 18 ways
- B. 24 ways
- C. 48 ways
- D. 20 ways Discuss
Correct Answer: 24 ways
Explanation:
When E is fixed in the middle, then there are four places left to be filled by four remaining letters O, M, G and A and this can be done in 4! ways.
? Total number of ways = 4! = 24- 6. A train 240 m long passes a pole in 24 seconds. How long will it take to pass a platform 650 m long?
Options- A. 65 sec
- B. 89 sec
- C. 100 sec
- D. 150 sec Discuss
Correct Answer: 89 sec
Explanation:
Speed = ❨ 240 ❩m/sec = 10 m/sec. 24 ∴ Required time = ❨ 240 + 650 ❩sec = 89 sec. 10 - 7. X can completed a job in 12 days. If X and Y work together, they can complete the job in 6 2/ 3 days, Y alone can complete the job in
Options- A. 10 days
- B. 12 days
- C. 15 days
- D. 18 days Discuss
Correct Answer: 15 days
Explanation:
X's 1 day's work = 1/12
(X + Y)' s 1 day's work = 3/20
? Y's 1 day's work = (3/20) - (1/12) = 4/60 = 1/15
? Number of day's taken by Y to complete the work = 15 days- 8. Reena took a loan of Rs. 1200 with simple interest for as many years as the rate of interest. If she paid Rs. 432 as interest at the end of the loan period, what was the rate of interest?
Options- A. 3.6
- B. 6
- C. 18
- D. Cannot be determined
- E. None of these Discuss
Correct Answer: 6
Explanation:
Let rate = R% and time = R years.Then, ❨ 1200 x R x R ❩ = 432 100 ⟹ 12R2 = 432
⟹ R2 = 36
⟹ R = 6.
- 9. Two trains are running at 40 km/hr and 20 km/hr respectively in the same direction. Fast train completely passes a man sitting in the slower train in 5 seconds. What is the length of the fast train?
Options- A. 23 m
- B. 23 2⁄9 m
- C. 27 7⁄9 m
- D. 29 m Discuss
Correct Answer: 27 7⁄9 m
Explanation:
Relative speed = (40 - 20) km/hr = ❨ 20 x 5 ❩ m/sec = ❨ 50 ❩ m/sec. 18 9 ∴ Length of faster train = ❨ 50 x 5 ❩ m = 250 m = 27 7 m. 9 9 9 - 10. Find the number of ways, in which 12 different beads can be arranged to form a necklace .
Options- A. 11 !/2
- B. 10 !/2
- C. 12 !/2
- D. Couldn't be determined Discuss
Correct Answer: 11 !/2
Explanation:
Number of arrangements of beads = (12 - 1) !, but it is not mentioned that either it is clockwise or anti - clockwise .
So, required number of arrangements = [(12 - 1)! ] / 2 = 11 !/2
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