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- Question
A student's average marks in five subjects is 82. If the average marks of first two subject is 86.5 and the average marks of last two subjects is 84. Find the marks of third subject?
Options- A. 69
- B. 67
- C. 71
- D. 73
- Correct Answer
- 69
ExplanationThe total marks of all 5 subjects = 82 x 5 = 410
Total marks of 1st two subjects = 86.5 x 2 = 173
Total marks of last two subjects = 84 x 2 = 168
Now, marks in 3rd subject = 410 - (173 + 168) = 410 - 341 = 69.
- 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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