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- Question
Cost of 3 cricket balls = cost of 2 pairs of leg pads. Cost of 3 pairs of leg pads = cost of 2 pairs of gloves. Cost of 3 pairs of gloves = cost of 2 cricket bats. If a cricket bat costs Rs 54, what is the cost of a cricket ball.
Options- A. Rs 12
- B. Rs 16
- C. Rs 14
- D. Rs 18
- Correct Answer
- Rs 16
Explanation3 pairs of gloves = 2 x 54 = 108 ; 1 pairs of gloves = 36
3 pairs of leg pads = 2 x 36 = 1 pairs of leg pads = 24
3 cricket balls = 2 x 24 = 48
cost of 1 cricket ball = 16; - 1. A merchant has 1000 kg of sugar, part of which he sells at 8% profit and the rest at 18% profit. He gains 14% on the whole. The quantity sold at 18% profit is:
Options- A. 400 kg
- B. 560 kg
- C. 600 kg
- D. 640 kg Discuss
- 2. Two trains are moving in opposite directions @ 60 km/hr and 90 km/hr. Their lengths are 1.10 km and 0.9 km respectively. The time taken by the slower train to cross the faster train in seconds is:
Options- A. 36
- B. 45
- C. 48
- D. 49 Discuss
- 3. A goods train runs at the speed of 72 kmph and crosses a 250 m long platform in 26 seconds. What is the length of the goods train?
Options- A. 230 m
- B. 240 m
- C. 260 m
- D. 270 m Discuss
- 4. A tank is 25 m long, 12 m wide and 6 m deep. The cost of plastering its walls and bottom at 75 paise per sq. m, is:
Options- A. Rs. 456
- B. Rs. 458
- C. Rs. 558
- D. Rs. 568 Discuss
- 5. A, B and C jointly thought of engaging themselves in a business venture. It was agreed that A would invest Rs. 6500 for 6 months, B, Rs. 8400 for 5 months and C, Rs. 10,000 for 3 months. A wants to be the working member for which, he was to receive 5% of the profits. The profit earned was Rs. 7400. Calculate the share of B in the profit.
Options- A. Rs. 1900
- B. Rs. 2660
- C. Rs. 2800
- D. Rs. 2840 Discuss
- 6. The compound interest on a certain sum for 2 years at 10% per annum is Rs. 525. The simple interest on the same sum for double the time at half the rate percent per annum is:
Options- A. Rs. 400
- B. Rs. 500
- C. Rs. 600
- D. Rs. 800 Discuss
- 7. If log10 2 = 0.3010, then log2 10 is equal to:
Options- A.
699 301 - B.
1000 301 - C. 0.3010
- D. 0.6990 Discuss
- 8. A and B together can do a piece of work in 30 days. A having worked for 16 days, B finishes the remaining work alone in 44 days. In how many days shall B finish the whole work alone?
Options- A. 30 days
- B. 40 days
- C. 60 days
- D. 70 days Discuss
- 9. A began a business with Rs. 85,000. He was joined afterwards by B with Rs. 42,500. For how much period does B join, if the profits at the end of the year are divided in the ratio of 3 : 1?
Options- A. 4 months
- B. 5 months
- C. 6 months
- D. 8 months Discuss
- 10. A number when divided successively by 4 and 5 leaves remainders 1 and 4 respectively. When it is successively divided by 5 and 4, then the respective remainders will be
Options- A. 1, 2
- B. 2, 3
- C. 3, 2
- D. 4, 1 Discuss
More questions
Correct Answer: 600 kg
Explanation:
By the rule of alligation, we have:
| Profit on 1st part Profit on 2nd part | ||
| 8% | Mean Profit 14% |
18% |
| 4 | 6 | |
Ration of 1st and 2nd parts = 4 : 6 = 2 : 3
| ∴ Quantity of 2nd kind = | ❨ | 3 | x 1000 | ❩kg | = 600 kg. |
| 5 |
Correct Answer: 48
Explanation:
Relative speed = (60+ 90) km/hr
| = | ❨ | 150 x | 5 | ❩m/sec |
| 18 |
| = | ❨ | 125 | ❩m/sec. |
| 3 |
Distance covered = (1.10 + 0.9) km = 2 km = 2000 m.
| Required time = | ❨ | 2000 x | 3 | ❩sec = 48 sec. |
| 125 |
Correct Answer: 270 m
Explanation:
| Speed = | ❨ | 72 x | 5 | ❩m/sec | = 20 m/sec. |
| 18 |
Time = 26 sec.
Let the length of the train be x metres.
| Then, | x + 250 | = 20 |
| 26 |
⟹ x + 250 = 520
⟹ x = 270.
Correct Answer: Rs. 558
Explanation:
| Area to be plastered | = [2(l + b) x h] + (l x b) |
| = {[2(25 + 12) x 6] + (25 x 12)} m2 | |
| = (444 + 300) m2 | |
| = 744 m2. |
| ∴ Cost of plastering = Rs. | ❨ | 744 x | 75 | ❩ | = Rs. 558. |
| 100 |
Correct Answer: Rs. 2660
Explanation:
For managing, A received = 5% of Rs. 7400 = Rs. 370.
Balance = Rs. (7400 - 370) = Rs. 7030.
Ratio of their investments = (6500 x 6) : (8400 x 5) : (10000 x 3)
= 39000 : 42000 : 30000
= 13 : 14 : 10
| ∴ B's share = Rs. | ❨ | 7030 x | 14 | ❩ | = Rs. 2660. |
| 37 |
Correct Answer: Rs. 500
Explanation:
Let the sum be Rs. P.
| Then, | [ | P | ❨ | 1 + | 10 | ❩ | 2 | - P | ] | = 525 |
| 100 |
| ⟹ | P | [ | ❨ | 11 | ❩ | 2 | - 1 | ] | = 525 |
| 10 |
| ⟹ P = | ❨ | 525 x 100 | ❩ | = 2500. |
| 21 |
∴ Sum = Rs . 2500.
| So, S.I. = Rs. | ❨ | 2500 x 5 x 4 | ❩ | = Rs. 500 |
| 100 |
Correct Answer:
| 1000 |
| 301 |
Explanation:
| log2 10 = | 1 | = | 1 | = | 10000 | = | 1000 | . |
| log10 2 | 0.3010 | 3010 | 301 |
Correct Answer: 60 days
Explanation:
Let A's 1 day's work = x and B's 1 day's work = y.
| Then, x + y = | 1 | and 16x + 44y = 1. |
| 30 |
| Solving these two equations, we get: x = | 1 | and y = | 1 |
| 60 | 60 |
| ∴ B's 1 day's work = | 1 | . |
| 60 |
Hence, B alone shall finish the whole work in 60 days.
Correct Answer: 8 months
Explanation:
Suppose B joined for x months. Then,
| Then, | ❨ | 85000 x 12 | = | 3 | ❩ |
| 42500 x x | 1 |
| ⟹ x = | ❨ | 85000 x 12 | ❩ | = 8. |
| 42500 x 3 |
So, B joined for 8 months.
Correct Answer: 2, 3
Explanation:
4 | x y = (5 x 1 + 4) = 9 -------- 5 | y -1 x = (4 x y + 1) = (4 x 9 + 1) = 37 -------- | 1 -4 Now, 37 when divided successively by 5 and 4, we get 5 | 37 --------- 4 | 7 - 2 --------- | 1 - 3 Respective remainders are 2 and 3.
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