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- Question
A train passes a station platform in 36 seconds and a man standing on the platform in 20 seconds. If the speed of the train is 54 km/hr, what is the length of the platform?
Options- A. 120 m
- B. 240 m
- C. 300 m
- D. None of these
- Correct Answer
- 240 m
ExplanationSpeed = ❨ 54 x 5 ❩m/sec = 15 m/sec. 18 Length of the train = (15 x 20)m = 300 m.
Let the length of the platform be x metres.
Then, x + 300 = 15 36 ⟹ x + 300 = 540
⟹ x = 240 m.
- 1. A, B and C entered into partnership. A invests some money at the beginning. B invests double the amount after 6 months and C invests thrice the amount after 8 months. If the annual profit be Rs. 18,000, C's share is?
Options- A. Rs. 7500
- B. Rs. 7200
- C. Rs. 6000
- D. Rs. 5750 Discuss
- 2. A and B enter into partnership investing Rs. 12,000 and Rs. 16,000 respectively. After 8 months C joins them with a capital of Rs. 15,000. The share of C in a profit of Rs. 45600 after 2 years will be?
Options- A. Rs. 21200
- B. Rs. 19200
- C. Rs. 14400
- D. Rs. 12000 Discuss
- 3. When four fair dice are rolled simultaneously, in how many outcomes will at least one of the dice show 3?
Options- A. 620
- B. 671
- C. 625
- D. 567 Discuss
- 4. A, B and C subscribed Rs. 47,000 for a business. A subscribe Rs. 7000 more than B and B Rs. 5,000 more than C. Out of a total profit of Rs. 9,400, B receives?
Options- A. Rs. 4400
- B. Rs. 3000
- C. Rs. 2000
- D. Rs.1737.90 Discuss
- 5. Four person decided to start a restaurant by sharing equal amount of the total investment. After some calculations they found that if they get two more equal investors, each of the four will have to pay Rs. 12000 less. What was the total investment?
Options- A. Rs. 24000
- B. Rs. 72000
- C. Rs. 144000
- D. Rs. 288000 Discuss
- 6. How many parallelograms will be formed if 7 parallel horizontal lines intersect 6 parallel vertical lines?
Options- A. 215
- B. 315
- C. 415
- D. 115 Discuss
- 7. A started a business by investing Rs. 8000. 3 months later B joined him with Rs. 5000. If at the end of a year total profit earned was Rs. 2350. How much is the share of A more than the share of B?
Options- A. Rs. 600
- B. Rs. 800
- C. Rs. 400
- D. Rs. 850 Discuss
- 8. Ajay started a business investing ? 25000. After 3 months, Vijay joined him with a capital of ? 30000. At the end of the year, they made a profit of ? 38000. What will be the Ajay's share in the profit?
Options- A. ? 10000
- B. ? 18000
- C. ? 15000
- D. ? 20000 Discuss
- 9. How many four digits numbers greater than 6000 can be made using the digits 0, 4, 2, 6 together with repetition.
Options- A. 64
- B. 63
- C. 62
- D. 60 Discuss
- 10. Aarti, Vinita and Kamla became partners in a business by investing money in the ratio of 5 : 7 : 6. Next year, they increased their investments by 26%, 20% and 15%, respectively. In what ratio should profit earned during 2nd year be distributed?
Options- A. 21 : 28 : 23
- B. 23 : 28 : 21
- C. 28 : 23 : 21
- D. 35 : 41 : 7 Discuss
More questions
Correct Answer: Rs. 6000
Explanation:
Suppose A invested Rs. N.
Then A : B : C = 12N : 6 x (2N) : 4 x (3N) = 1 : 1 : 1
? C's share = Rs. (18000) x 1/3 = Rs. 6000
Correct Answer: Rs. 12000
Explanation:
Ratio of shares = 12000 x 24 : 16000 x 24 : 15000 x 16 = 6 : 8 : 5
? C's share = Rs. 45600 x (5/19) = Rs. 12000
Correct Answer: 671
Explanation:
When 4 dice are rolled simultaneously, there will be a total of 6 x 6 x 6 x 6 = 1296 outcomes.
The number of outcomes in which none of the 4 dice show 3 will be 5 x 5 x 5 x 5 = 625 outcomes.
Therefore, the number of outcomes in which at least one die will show 3 = 1296 ? 625 = 671
Correct Answer: Rs. 3000
Explanation:
Suppose C invests Rs. N
Then B's investment = Rs. (N + 5000)
and A's investment = Rs. (N + 12000)
? N + (N + 5000) + (N + 12000) = 47000
? N = 10000
Thus A : B : C = 22000 : 15000 : 10000 = 22 : 15 : 10
? B's share = Rs. (9400 x 15)/47 = Rs. 3000
Correct Answer: Rs. 144000
Explanation:
Let investment of each person be Rs. N
Total investment of 4 people = 4 x N = Rs. 4N
Investment of each person when two more people join them = Rs. (N - 12000)
? Total investment of 6 people = 6(N - 12000)
? 4N = 6(N - 12000)
? 4N = 6N - 72000
? 2N = 72000
? N = 36000
Hence total investment = 4 x 36000 = Rs. 144000
Correct Answer: 315
Explanation:
Hence, the given problem can be considered as selecting pairs of lines from the given 2 sets of parallel lines.
Therefore, the total number of parallelograms formed = 7C 2 x 6C 2 = 315
Correct Answer: Rs. 850
Explanation:
Ratio between the investment of A and B = (8000 x 12) : (5000 x 9)
= 96000 : 45000 = 32 : 15
Total profit = Rs. 2350
? A's share = [32/(32 + 15)] x 2350 = Rs. 1600
? B's share = 2350 - 1600 = Rs. 750
? Required difference = 1600 - 750 = Rs. 850
Correct Answer: ? 20000
Explanation:
Ajay's share : Vijay's share
= 25000 x 12 : 30000 x (12 - 3)
= 25 x 12 : 30 x 9 = 10 : 9
Ajay's share = 10/(10 + 9) x 38000
= 10/19 x 38000
= 10 x 2000 = ? 20000
Correct Answer: 63
Explanation:
Given digits are 0, 4, 2, 6
Required 4 digit number should be greater than 6000.
So, first digit must be 6 only and the remaining three places can be filled by one of all the four digits.
This can be done by
1x4x4x4 = 64
Greater than 6000 means 6000 should not be there.
Hence, 64 - 1 = 63.
Correct Answer: 21 : 28 : 23
Explanation:
Let investment of Aarti during first year = 5a
Investment of Vinita during first year = 7a
Investment of kamla during first year = 6a
Then, their investments during second year are
? (126/100) x 5a : (120/100) x 7a : (115/100) x 6a
= 630 : 840 : 690 = 21 : 28 : 23
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