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- Question
- Three students are picked at random from a school having a total of 1000 students. The probability that these students will have identical date and month of their birth, is?
Options- A. 3/1000
- B. 3/365
- C. 1/(365)2
- D. None of these
- Correct Answer
- 1/(365)2
ExplanationSince, the 1st students can have any day as his birthday and according to the question corresponding to the 1st person and 2nd the 3rd person need to have the same day as their birthday and thus probability that they have identical birthday
= 1x (1/365) x (1/365)
= 1/(365)2 - 1. A train 108 m long moving at a speed of 50 km/hr crosses a train 112 m long coming from opposite direction in 6 seconds. The speed of the second train is:
Options- A. 48 km/hr
- B. 54 km/hr
- C. 66 km/hr
- D. 82 km/hr Discuss
- 2. Find out the wrong number in the series 5, 15, 30, 135, 405, 1215, 3645?
Options- A. 3645
- B. 1215
- C. 405
- D. 30 Discuss
- 3. What will be the average of even numbers between 11 to 63.
Options- A. 37.5
- B. 47
- C. 42
- D. 37 Discuss
- 4. Ashok took a loan of Rs. 15000 for 3 years at simple interest . If the total interest paid is Rs. 2700. What is the rate of interest per annum?
Options- A. 18
- B. 5.4
- C. 9
- D. 6 Discuss
- 5. Running at the same constant rate, 6 identical machines can produce a total of 270 bottles per minute. At this rate, how many bottles could 10 such machines produce in 4 minutes?
Options- A. 648
- B. 1800
- C. 1700
- D. 1080 Discuss
- 6. A speed of 22.5 m/sec. is the same as?
Options- A. 40.5 km/hr.
- B. 81 km/hr.
- C. 36.8 km/hr .
- D. 72 km/hr. Discuss
- 7. The sum of the digits of a two-digit number is 15 and the difference between the digits is 3. What is the two-digit number?
Options- A. 69
- B. 78
- C. 96
- D. Cannot be determined
- E. None of these Discuss
- 8. A train 360 m long is running at a speed of 45 km/hr. In what time will it pass a bridge 140 m long?
Options- A. 40 sec
- B. 42 sec
- C. 45 sec
- D. 48 sec Discuss
- 9. There is 60% increase in an amount in 6 years at simple interest. What will be the compound interest of Rs. 12,000 after 3 years at the same rate?
Options- A. Rs. 2160
- B. Rs. 3120
- C. Rs. 3972
- D. Rs. 6240
- E. None of these Discuss
- 10. A contract is to be complete in 50 days and 105 men were set to work, each working 8 h a day. After 25 days, 2/5th of the work is finished. How many additional men be employed, so that the work may be completed on time, each man now working 9 h a day?
Options- A. 34
- B. 36
- C. 35
- D. 37 Discuss
More questions
Correct Answer: 82 km/hr
Explanation:
Let the speed of the second train be x km/hr.
| Relative speed | = (x + 50) km/hr | |||||||
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Distance covered = (108 + 112) = 220 m.
| ∴ | 220 | = 6 | ||
|
⟹ 250 + 5x = 660
⟹ x = 82 km/hr.
Correct Answer: 30
Explanation:
Multiply each term by 3 to obtain the next term. Hence, 30 is a wrong number.
Correct Answer: 37
Explanation:
Even numbers between 11 to 63
= 12,14,16,18,20,..........,62.
Clearly, this is a series of consecutive even number
According to the formula
Average of consecutive even numbers = (First number + Last number)/2
= (12 + 62)/2
= 74/2
= 37
Correct Answer: 6
Explanation:
? Rate = [(interest x 100) / (Principal x Time) ] %
? Rate = (2700 x 100) / (15000 x 3) %
? Rate = 6%
Correct Answer: 1800
Explanation:
Since 6 identical machines in 1 minute can produce a total of 270 bottles.
? 1 identical machines in 1 minute can produce a total of 270 / 6 bottles.
? 10 identical machines in 1 minute can produce a total of 270 x 10 / 6 bottles.
? 10 identical machines in 4 minute can produce a total of 270 x 10 x 4 / 6 bottles.
? 10 identical machines in 4 minute can produce a total of 45 x 10 x 4 bottles.
? 10 identical machines in 4 minute can produce a total of 1800 bottles.
Correct Answer: 81 km/hr.
Explanation:
Speed in km/hr = speed in m/sec x (18 / 5 )
Speed in km/hr = (22.5 x 18 /5 ) km/hr
= 81 km/hr.
Correct Answer: Cannot be determined
Explanation:
Then, x + y = 15 and x - y = 3 or y - x = 3.
Solving x + y = 15 and x - y = 3, we get: x = 9, y = 6.
Solving x + y = 15 and y - x = 3, we get: x = 6, y = 9.
So, the number is either 96 or 69.
Hence, the number cannot be determined.
Correct Answer: 40 sec
Explanation:
| Formula for converting from km/hr to m/s: X km/hr = | ❨ | X x | 5 | ❩ | m/s. |
| 18 |
| Therefore, Speed = | ❨ | 45 x | 5 | ❩m/sec | = | 25 | m/sec. |
| 18 | 2 |
Total distance to be covered = (360 + 140) m = 500 m.
| Formula for finding Time = | ❨ | Distance | ❩ |
| Speed |
| ∴ Required time = | ❨ | 500 x 2 | ❩sec | = 40 sec. |
| 25 |
Correct Answer: Rs. 3972
Explanation:
| ∴ R = | ❨ | 100 x 60 | ❩ | = 10% p.a. |
| 100 x 6 |
Now, P = Rs. 12000. T = 3 years and R = 10% p.a.
| ∴ C.I. |
|
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| = 3972. |
Correct Answer: 35
Explanation:
According to the formula
M1D1T1/W1= M2D2T2/W2
Given M1 = 105 D1 = 25 T1 = 8 W1 = 2/5
Now let the additional men be N
Then, M2 = 105 + N, T2 = 9, D2 = 25 and W2 =1 - (2/5) = 3/5
On putting these value in the above formula
(105 x 25 x 8) / (2/5) = [(105 + N) x 25 x 9] / (3/5)
? (105 x 8) / 2 = (105 + N) x (9/3)
? 105 x 4 = (105 + N) x 3
? 105 x 4 = 105 x 3 +3N
? 3N = 105
? N = 35 men
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