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- Question
- Simple interest for the sum of ? 1500 is ? 30 in 4 yr and ? 60 in 8 yr. Find the rate of simple interest.
Options- A. 2.5%
- B. 1.5%
- C. 0.5%
- D. 0.25%
- Correct Answer
- 0.5%
ExplanationGiven, SI2 = 60, SI1 = 30, T1 = 4 yr, T2 = 8 yr
According to the question,
[(1500 x R x 8)/100] - [(1500 x R x 4)/100] = 60 - 30
? (6000 x R)/100 = 30
? R = 30/60 = 1/2 = 0.5% - 1. A vessel is filled with liquid, 3 parts of which are water and 5 parts syrup. How much of the mixture must be drawn off and replaced with water so that the mixture may be half water and half syrup?
Options- A.
1 3 - B.
1 4 - C.
1 5 - D.
1 7
Discuss
- 2. Two dice are tossed. The probability that the total score is a prime number is:
Options- A.
1 6 - B.
5 12 - C.
1 2 - D.
7 9
Discuss
- 3. Two cards are drawn together from a pack of 52 cards. The probability that one is a spade and one is a heart, is:
Options- A.
3 20 - B.
29 34 - C.
47 100 - D.
13 102
Discuss
- 4. The average speed of a bus is three-fourth the average speed of a train. The train covers 240 km in 12 h . How much distance will the bus cover in 7 h?
Options- A. 110 km
- B. 115 km
- C. 105 km
- D. 100 km Discuss
- 5. A person works on a project and completes 5/8 of the job in 10 days. At this rate, how many more days will he it take to finish the job?
Options- A. 12
- B. 16
- C. 10
- D. 9 Discuss
- 6. From a pack of 52 cards, two cards are drawn together at random. What is the probability of both the cards being kings?
Options- A.
1 15 - B.
25 57 - C.
35 256 - D.
1 221
Discuss
- 7. What is the value of
[725 x 725 x 725 + 371 x 371 x 371] / [725 x 725 - 725 x 371 + 371 x 371] =?
Options- A. 9610
- B. 1960
- C. 1096
- D. 1016 Discuss
- 8. 4 mat-weavers can weave 4 mats in 4 days. At the same rate, how many mats would be woven by 8 mat-weavers in 8 days?
Options- A. 16
- B. 12
- C. 18
- D. 14 Discuss
- 9. The largest 4 digit number exactly divisible by 88 is:
Options- A. 9944
- B. 9768
- C. 9988
- D. 8888
- E. None of these Discuss
- 10. A train speeds past a pole in 15 seconds and a platform 100 m long in 25 seconds. Its length is:
Options- A. 50 m
- B. 150 m
- C. 200 m
- D. Data inadequate Discuss
More questions
Correct Answer:
| 1 |
| 5 |
Explanation:
Let x litres of this liquid be replaced with water.
| Quantity of water in new mixture = | ❨ | 3 - | 3x | + x | ❩ | litres |
| 8 |
| Quantity of syrup in new mixture = | ❨ | 5 - | 5x | ❩ | litres |
| 8 |
| ∴ | ❨ | 3 - | 3x | + x | ❩ | = | ❨ | 5 - | 5x | ❩ |
| 8 | 8 |
⟹ 5x + 24 = 40 - 5x
⟹ 10x = 16
| ⟹ x = | 8 | . |
| 5 |
| So, part of the mixture replaced = | ❨ | 8 | x | 1 | ❩ | = | 1 | . |
| 5 | 8 | 5 |
Correct Answer:
| 5 |
| 12 |
Explanation:
Let E = Event that the sum is a prime number.
| Then E | = { (1, 1), (1, 2), (1, 4), (1, 6), (2, 1), (2, 3), (2, 5), (3, 2), (3, 4), (4, 1), (4, 3), (5, 2), (5, 6), (6, 1), (6, 5) } |
∴ n(E) = 15.
| ∴ P(E) = | n(E) | = | 15 | = | 5 | . |
| n(S) | 36 | 12 |
Correct Answer:
| 13 |
| 102 |
Explanation:
| Then, n(S) = 52C2 = | (52 x 51) | = 1326. |
| (2 x 1) |
Let E = event of getting 1 spade and 1 heart.
| ∴ n(E) | = number of ways of choosing 1 spade out of 13 and 1 heart out of 13 |
| = (13C1 x 13C1) | |
| = (13 x 13) | |
| = 169. |
| ∴ P(E) = | n(E) | = | 169 | = | 13 | . |
| n(S) | 1326 | 102 |
Correct Answer: 105 km
Explanation:
Average speed of train = 240/12 = 20 km/h
Average speed of bus = (3/4) x 20 = 3 x 5 = 15 km/h
Required distance = 15 x 7 = 15 km/h
Correct Answer: 16
Explanation:
A person completes 5/8 part of the project in 10 days.
A person completes the project in 10/5/8 days.
A person completes the project in 10 x 8 /5 days.
A person completes the project in 2 x 8 days.
A person completes the project in 16 days.
Correct Answer:
| 1 |
| 221 |
Explanation:
| Then, n(S) = 52C2 = | (52 x 51) | = 1326. |
| (2 x 1) |
Let E = event of getting 2 kings out of 4.
| ∴ n(E) = 4C2 = | (4 x 3) | = 6. |
| (2 x 1) |
| ∴ P(E) = | n(E) | = | 6 | = | 1 | . |
| n(S) | 1326 | 221 |
Correct Answer: 1096
Explanation:
[725 x 725 x 725 + 371 x 371 x 371] / [725 x 725 - 725 x 371 + 371 x 371]
= 725 + 371 = 1096
[? (a3 + b3) / (a2 - ab + b2) = (a + b) (a2 - ab + b2)/(a2 - ab + b2) = a + b ]
Correct Answer: 16
Explanation:
4 mat-weavers in 4 days can weave 4 mats.
1 mat-weavers in 4 days can weave 4 / 4 mats.
1 mat-weavers in 1 days can weave 4 / 4 x 4 mats.
8 mat-weavers in 1 days can weave 4 x 8 / 4 x 4 mats.
8 mat-weavers in 8 days can weave 4 x 8 x 8 / 4 x 4 mats.
8 mat-weavers in 8 days can weave 4 x 2 x 2 mats.
8 mat-weavers in 8 days can weave 16 mats.
Correct Answer: 9944
Explanation:
Largest 4-digit number = 9999
88) 9999 (113
88
----
119
88
----
319
264
---
55
---
Required number = (9999 - 55)
= 9944.
Correct Answer: 150 m
Explanation:
Let the length of the train be x metres and its speed by y m/sec.
| Then, | x | = 15 ⟹ y = | x | . |
| y | 15 |
| ∴ | x + 100 | = | x |
| 25 | 15 |
⟹ 15(x + 100) = 25x
⟹ 15x + 1500 = 25x
⟹ 1500 = 10x
⟹ x = 150 m.
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