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- Question
- If 36 men can do a piece of work in 25 hours, in how many hours will 15 men do it?
Options- A. 45
- B. 55
- C. 60
- D. 72
- Correct Answer
- 60
Explanation
- 1. In a trapezium, one diagonal divides the other in the ratio 2 : 9. If the length of the larger of the two parallel sides is 45 cm, then what is the length (in cm) of the other parallel side?
Options- A. 10
- B. 5
- C. 18
- D. 14 Discuss
- 2. In a queue, Shankar is ninth from the rear end. Althaf's place is eighth from the front. Nitu is standing between the two. What could be the minimum numbers of boys standing in the queue ?
Options- A. 18
- B. 14
- C. 22
- D. 24 Discuss
- 3. Find the least common multiple of 15 and 12?
Options- A. 3
- B. 12
- C. 30
- D. 60 Discuss
- 4. The distance between the centres of two circles is 61 cm and their radii are 35 cm and 24 cm. What is the length (in cm) of the direct common tangent to the circles?
Options- A. 60
- B. 54
- C. 48
- D. 72 Discuss
- 5. If a person having Rs. 2000 and he want to distribute this to his five children in the manner that each son having Rs. 30 more than the younger one , what will be the share of youngest child ?
Options- A. Rs. 175
- B. Rs. 325
- C. Rs. 340
- D. Rs. 260 Discuss
- 6. If 8 men can reap 80 hectares in 24 days , then how many hectares can 36 men reap in 30 days?
Options- A. 350
- B. 400
- C. 425
- D. 450 Discuss
- 7. PQR is a triangle, whose area is 180 cm2. S is a point on side QR, such that PS is the angle bisector of ?QPR. If PQ : PR = 2 : 3, then what is the area (in cm2) triangle PSR?
Options- A. 90
- B. 108
- C. 144
- D. 72 Discuss
- 8. The value of x satisfying the following relation: log12x = log23x-2
Options- A. 1/3
- B. -1/3
- C. 3
- D. None of these Discuss
- 9. A wheel that has 6 cogs is meshed with a larger wheel of 14 cogs. When the smaller wheel has made 21 revolutions, then the number of revolutions mad by the larger wheel is:
Options- A. 4
- B. 9
- C. 12
- D. 49 Discuss
- 10. A fort had provision of food for 150 men for 45 days. After 10 days, 25 men left the fort. The number of days for which the remaining food will last, is:
Options- A. 29
- B. 37
- C. 42
- D. 54 Discuss
More questions
Correct Answer: 10
Correct Answer: 14
Explanation:
1 2 3 4 5 6(Shankar) 7(Nitu) 8(Althaf) 9 10 11 12 13 14
Here, Althaf is 8th from front, Shankar is 9th from rear end and Nitu is between them
So minimum no. of boys standing in the queue = 14
Correct Answer: 60
Explanation:
The least common multiple of 12 and 15 is
12 = 2 x 2 x 3
15 = 3 x 5
LCM of 12 and 15 is 2 x 2 x 3 x 5 = 60.
Correct Answer: 60
Correct Answer: Rs. 340
Explanation:
Assume first child (the youngest) get = Rs. x
According to the question ;
each son having Rs. 30 more than the younger one
Second child will get = Rs. x + 30
Third child will get = Rs. x + 30 + 30 = x + 60
Forth child will get = Rs. x + 30 + 30 + 30 = x + 90
Fifth child will get = Rs. x + 30 + 30 + 30 + 30 = x + 120
Total amount they got = Rs. 2000
x + (x+30) + (x+60) + (x+90) + (x+120) = 2000
5x + 300 = 2000
5x = 1700
x = Rs. 340
So the youngest child will get Rs. 340.
Correct Answer: 450
Explanation:
Let the required no of hectares be x. Then
More men, More hectares (Direct proportion)
More days, More hectares (Direct proportion)
=> ( 8 * 24 * x) = (36 * 30 * 80)
=> x= 450
Correct Answer: 108
Correct Answer: None of these
Explanation:
But at x=-1/3, log x is not defined.
The only admissible value of x is 1.
Correct Answer: 9
Explanation:
Let the required number of revolutions made by larger wheel be x.
Then, More cogs, Less revolutions (Indirect Proportion)
14 : 6 :: 21 : x => 14 x x = 6 x 21
x=6*21/14 => x=9
Correct Answer: 42
Explanation:
After 10 days : 150 men had food for 35 days.
Suppose 125 men had food for x days.
Now, Less men, More days (Indirect Proportion)
125 : 150 :: 35 : x 125 x x = 150 x 35
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