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- Question
A train overtakes two persons walking along a railway track. The first one walks at 4.5 km/hr. The other one walks at 5.4 km/hr. The train needs 8.4 and 8.5 seconds respectively to overtake them. What is the speed of the train if both the persons are walking in the same direction as the train?
Options- A. 66 km/hr
- B. 72 km/hr
- C. 78 km/hr
- D. 81 km/hr
- Correct Answer
- 81 km/hr
Explanation4.5 km/hr = ❨ 4.5 x 5 ❩ m/sec = 5 m/sec = 1.25 m/sec, and 18 4 5.4 km/hr = ❨ 5.4 x 5 ❩ m/sec = 3 m/sec = 1.5 m/sec. 18 2 Let the speed of the train be x m/sec.
Then, (x - 1.25) x 8.4 = (x - 1.5) x 8.5
⟹ 8.4x - 10.5 = 8.5x - 12.75
⟹ 0.1x = 2.25
⟹ x = 22.5
∴ Speed of the train = ❨ 22.5 x 18 ❩ km/hr = 81 km/hr. 5 - 1.
The banker's gain on a certain sum due 1 1 years hence is 3 of the banker's 2 25 discount. The rate percent is:
Options- A.
5 1 % 5 - B.
9 1 % 11 - C.
8 1 % 8 - D.
6 1 % 6
Discuss
- 2. If two marbles are picked at random, what is the probability that both marbles are red?
Options- A. 1/6
- B. 1/3
- C. 2/15
- D. None of the above Discuss
- 3. A and B together have Rs. 1210. If 4⁄15 of A's amount is equal to ⅖ of B's amount, how much amount does B have?
Options- A. Rs. 460
- B. Rs. 484
- C. Rs. 550
- D. Rs. 664 Discuss
- 4. Three taps A, B and C fill a tank in 20 min, 15 min and 12 min, respectively. If all the taps are opened simultaneously, how long will they take to fill 40% of the tank?
Options- A. 1 min
- B. 2 min
- C. 3 min
- D. 4 min Discuss
- 5. When 0.252525...........is converted into a fraction, then find the result.
Options- A. 25/99
- B. 25/90
- C. 25/999
- D. 25/9999 Discuss
- 6. The sides of a triangle area in the ratio of 1/3 : 1/4 : 1/5 and its perimeter is 94 cm.
Find the length of the smallest side of the triangle .
Options- A. 18 cm
- B. 22.5 cm
- C. 24 cm
- D. 27 cm Discuss
- 7. The salary of A, B, C, D, E is Rs. 8000, Rs. 5000, Rs. 11000, Rs. 7000, Rs. 9000 per month respectively, then the average salary of A, B, C, D, and E per month is
Options- A. Rs. 7000
- B. Rs. 8000
- C. Rs. 8500
- D. Rs. 9000 Discuss
- 8. The sum of the squares of three numbers is 138, while the sum of their products taken two at a time is 131. Their sum is:
Options- A. 20
- B. 30
- C. 40
- D. None of these Discuss
- 9. Neeta borrowed some money at the rate of 6% per annum for the first 3 yr. at the rate of 9% per annum for the next 5 yr and a the rate of 13% per annum for the period beyond 8 yr. If she pays a total interest of ? 8160 at the and of 11 yr how much money did she borrow?
Options- A. ? 12000
- B. ? 10000
- C. ? 8000
- D. Data is inadequate Discuss
- 10. Two trains of equal length are running on parallel lines in the same direction at 46 km/hr and 36 km/hr. The faster train passes the slower train in 36 seconds. The length of each train is:
Options- A. 50 m
- B. 72 m
- C. 80 m
- D. 82 m Discuss
More questions
Correct Answer:
| 9 | 1 | % |
| 11 |
Explanation:
| Then, B.G. = Re. | 3 | . |
| 25 |
| ∴ T.D. = (B.D. - B.G.) = Re. | ❨ | 1 - | 3 | ❩ | = Re. | 22 | . |
| 25 | 25 |
| Sum = | ❨ | 1 x (22/25) | ❩ | = Rs. | 22 | . |
| 1-(22/25) | 3 |
| S.I. on Rs. | 22 | for 1 | 1 | years is Re. 1. |
| 3 | 2 |
| ∴ Rate = | ❨ | 100 x 1 | ❩% |
|
|||||||
|
Correct Answer: None of the above
Explanation:
Total number of marbles = 6 + 4 + 2 + 3 = 15
Ways of selection of two red marbles = n(E) = 6C2
Ways of selection of two marbles = n(S) = 15C2
So, required probability = (6C2) / (15C2)
= (6 x 5) / (15 x 14) = 1/7
Correct Answer: Rs. 484
Explanation:
| 4 | A | = | 2 | B | |
| 15 | 5 |
| ⟹ A = | ❨ | 2 | x | 15 | ❩B |
| 5 | 4 |
| ⟹ A = | 3 | B |
| 2 |
| ⟹ | A | = | 3 |
| B | 2 |
⟹ A : B = 3 : 2.
| ∴ B's share = Rs. | ❨ | 1210 x | 2 | ❩ | = Rs. 484. |
| 5 |
Correct Answer: 2 min
Explanation:
Part of the tank filled in 1 min by A, B and C = 1/20 + 1/15 +1/12
= (3 + 4 + 5)/60 = 12/60 = 1/5
? Time taken by A, B and C to fill the tank = 5 min
? Time taken by A, B and C to fill 40% of the tank = 40% of 5 = (40/100) x 5 = 2 min.
Correct Answer: 25/99
Explanation:
0.252525 ..... = 0.25= 25/99
Correct Answer: 24 cm
Explanation:
Given ratio = 1/3 : 1/4 : 1/5 = 20 : 15 : 12
Let length of the sides be 20k, 15k and 12k.
Then, according to the question,
20k + 15k + 12k = 94
? 47k = 94
? k = 94/47 = 2
Smallest side = 12k = 12 x 2 = 24 cm
Correct Answer: Rs. 8000
Explanation:
Average salary
= 8000 + 5000 + 11000 + 7000 + 9000 / 5
= Rs. 8000
Correct Answer: 20
Explanation:
Then, a2 + b2 + c2 = 138 and (ab + bc + ca) = 131.
(a + b + c)2 = a2 + b2 + c2 + 2(ab + bc + ca) = 138 + 2 x 131 = 400.
⟹ (a + b + c) = √400 = 20.
Correct Answer: ? 8000
Explanation:
Let the sum borrowed = P
Then, according to the question,
[(P x 6 x 3)/100] + [(P x 9 x 5)/100] + [(P x 13 x 3)/100] = 8160
? (18P + 45P +39P) / 100 = 8160
? 102P/100 = 8160
? P = (8160 x 100)/102
? P = ? 8000
Correct Answer: 50 m
Explanation:
Let the length of each train be x metres.
Then, distance covered = 2x metres.
Relative speed = (46 - 36) km/hr
| = | ❨ | 10 x | 5 | ❩m/sec |
| 18 |
| = | ❨ | 25 | ❩m/sec |
| 9 |
| ∴ | 2x | = | 25 |
| 36 | 9 |
⟹ 2x = 100
⟹ x = 50.
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