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- Question
- A piece of work was to be completed in 40 days, a number of men employed upon it did only half the work in 24 days, 16 more men were then set on and the work was completed in the specified time, how many men were employed at first?
Options- A. 16 men
- B. 32 men
- C. 24 men
- D. 48 men
- Correct Answer
- 32 men
ExplanationLet N men were employed at first
? N men do 1/2 of the work in 24 days
? 1 man do the whole work in 24 x 2 x N = 48N days
Now, from the question,
(N + 16) men do the remaining work (1 - 1/2) = 1/2 in (40 - 24) = 16 days
? 1 man do the whole work in 16 x 2 x (N + 16) days
? 48N = 32(N + 16)
? N = 32 men - 1. At simple interest, a sum becomes 3 times in 20 yr. Find the time, in which the sum will be double at the same rate of interest.
Options- A. 8 yr
- B. 10 yr
- C. 12 yr
- D. 14 yr Discuss
- 2. 5, 10, 13, 26, 29, 58, 61, (....)
Options- A. 122
- B. 64
- C. 125
- D. 128 Discuss
- 3. The sum of the present ages of a father and his son is 60 years. Six years ago, father's age was five times the age of the son. After 6 years, son's age will be:
Options- A. 12 years
- B. 14 years
- C. 18 years
- D. 20 years Discuss
- 4. A man wants to sell his scooter. There are two offers, one at Rs. 12,000 cash and the other a credit of Rs. 12,880 to be paid after 8 months, money being at 18% per annum. Which is the better offer?
Options- A. Rs. 12,000 in cash
- B. s. 12,880 at credit
- C. Both are equally good Discuss
- 5. 5/12 part of what amount will be equal to 33/4 part of ? 100?
Options- A. ? 900
- B. ? 940
- C. ? 875
- D. ? 975 Discuss
- 6. Which of the following equations is a quadratic?
Options- A. x3 - x2 - x + 5 = 0
- B. x4 - 10
- C. 7x2 = 49
- D. x4 - x3 = 9000 Discuss
- 7. A can do a work in 15 days and B in 20 days. If they work on it together for 4 days, then the fraction of the work that is left is :
Options- A.
1 4 - B.
1 10 - C.
7 15 - D.
8 15
Discuss
- 8. If 7 spiders make 7 webs in 7 days, then 1 spider will make 1 web in how many days?
Options- A. 1
- B. 7⁄2
- C. 7
- D. 49 Discuss
- 9. A train passes two persons two persons who are walking in the direction opposite to the direction of train at the rate of 10 m/s and 20 m/s respectively in 12 s and 10 s, respectively. Find the length of the train?
Options- A. 500 m
- B. 900 m
- C. 400 m
- D. 600 m Discuss
- 10. A tank is filled in 5 hours by three pipes A, B and C. The pipe C is twice as fast as B and B is twice as fast as A. How much time will pipe A alone take to fill the tank?
Options- A. 20 hours
- B. 25 hours
- C. 35 hours
- D. Cannot be determined
- E. None of these Discuss
More questions
Correct Answer: 10 yr
Explanation:
Here, n = 3, m = 2, T1 = 20 yr
? T2 = [(m -1) / (n - 1)] x T1
= (2 - 1) / (3 - 1) x 20 = 10 yr
Correct Answer: 122
Explanation:
So, the missing number = 61 x 2 = 122.
Correct Answer: 20 years
Explanation:
Then, (60 - x) - 6 = 5(x - 6)
⟹ 54 - x = 5x - 30
⟹ 6x = 84
⟹ x = 14.
∴ Son's age after 6 years = (x+ 6) = 20 years..
Correct Answer: Rs. 12,000 in cash
Explanation:
| P.W. of Rs. 12,880 due 8 months hence |
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| = Rs. 11500. |
Correct Answer: ? 900
Explanation:
Let the amount be ? a
According to the question,
a x 5/12= 33/4 x 100
? 5a/12 = 15/4 x 100
? a = 12/5 x 15/4 x 100
? a = 12 x 15 x 100/4 x 5
? a = ? 900
Correct Answer: 7x2 = 49
Explanation:
Clearly, 7x2 = 49 or 7x2 - 49 = 0, which is of the form ax2 + bx + c = 0, where b = 0.
Thus, 7x2 - 49 = 0 is a quadratic equation.
Correct Answer:
| 8 |
| 15 |
Explanation:
| A's 1 day's work = | 1 | ; |
| 15 |
| B's 1 day's work = | 1 | ; |
| 20 |
| (A + B)'s 1 day's work = | ❨ | 1 | + | 1 | ❩ | = | 7 | . |
| 15 | 20 | 60 |
| (A + B)'s 4 day's work = | ❨ | 7 | x 4 | ❩ | = | 7 | . |
| 60 | 15 |
| Therefore, Remaining work = | ❨ | 1 - | 7 | ❩ | = | 8 | . |
| 15 | 15 |
Correct Answer: 7
Explanation:
Let the required number days be x
Less spiders, More days (Indirect Proportion)
Less webs, Less days (Direct Proportion)
| Spiders | 1 | : | 7 | ] | :: 7 : x |
| Webs | 7 | : | 1 |
∴ 1 x 7 x x = 7 x 1 x 7
⟹ x = 7.
Correct Answer: 600 m
Explanation:
Let the speed of the train be V
According to the question.
(V + 10) x 12 = (V + 20) x 10
? 6V + 60 = 5V + 100
? x = 100 - 60 = 40 m/s
? Length of the train = (V + 10) x 12
= (40 + 10) x 12 = 600 m
Correct Answer: 35 hours
Explanation:
| Then, pipes B and C will take | x | and | x | hours respectively to fill the tank. |
| 2 | 4 |
| ∴ | 1 | + | 2 | + | 4 | = | 1 |
| x | x | x | 5 |
| ⟹ | 7 | = | 1 |
| x | 5 |
⟹ x = 35 hrs.
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