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- Question
- (7 + 7 + 7 ÷ 7) / (5 + 5 + 5 ÷ 5) =?
Options- A. 1
- B. 1 / 5
- C. 15 / 11
- D. 3 / 11
- Correct Answer
- 15 / 11
ExplanationGiven expression = (7 + 7 + 7 ÷ 7) / (5 + 5 + 5 ÷ 5)
= (14 + 1) / (10 + 1)
=15 / 11 - 1. 20 men can build 56 m long wall in 6 days. What length of a similar wall can be built by 70 men in 3 days?
Options- A. 100 m
- B. 98 m
- C. 48 m
- D. 85 m Discuss
- 2. If 30 men working 9 h per day can reap a field in 16 days, in how many days, will 36 men reap the field working 8 h per day?
Options- A. 15
- B. 25
- C. 18
- D. 10 Discuss
- 3. A garrison of 1000 men had provisions for 48 days. However, a reinforcement of 600 men arrived. How long will now food last for?
Options- A. 35 days
- B. 30 days
- C. 25 days
- D. 45 days Discuss
- 4. If 12 persons working 16 h per day earn ? 33600 per week, then how much will 18 persons earn working 12 h per day?
Options- A. ? 40000
- B. ? 35000
- C. ? 28800
- D. ? 37800 Discuss
- 5. If 10 spiders can catch 10 files in 10 min, then how many flies can 200 spiders catch in 200 min?
Options- A. 2000
- B. 5000
- C. 4000
- D. 3000 Discuss
- 6. If in a hostel, food is available for 45 days for 50 students. For how many soldiers for 75 students?
Options- A. 25 days
- B. 28 days
- C. 30 days
- D. 40 days Discuss
- 7. 40 men complete one-third of a work in 40 days. How many more men should be employed to finish the rest of the work in 50 more days?
Options- A. 12
- B. 20
- C. 18
- D. 24 Discuss
- 8. In a garrison, there was food for 1000 soldiers for one month. After 10 days 1000 more soldiers joined the garrison How long would the soldiers be able to carry on with the remaining food?
Options- A. 25 days
- B. 20 days
- C. 15 days
- D. 10 days Discuss
- 9. A man and a boy working together can complete a work in 24 days. If for the last 6 days, the man alone does the work, then it is completed in 26 days. How long will the boy take to complete the work alone?
Options- A. 72 days
- B. 73 days
- C. 49 days
- D. 62 days Discuss
- 10. If 12 men or 18 women can do a piece of work in 14 days, then how long will 8 men and 16 women take to finish the work?
Options- A. 9 days
- B. 10 days
- C. 12 days
- D. 14 days Discuss
More questions
Correct Answer: 98 m
Explanation:
Let the required length be L m.
More men, More length (Direct proportion)
Less days, Less length (Direct proportion)
Men 20 : 70
Days 6 : 3
? (20 x 6 x L) = (70 x 3 x 56)
? L = (70 x 3 x 56) / (20 x 6) = 98 m
Correct Answer: 15
Explanation:
Here M1 = 30, D1 = 16,
T1 = 9, M2 = 36 and T2 = 8
By formula, M1D1T1 = M2D2T2
30 x 16 x 9 = 36 x D2 x 8
? D2 = (30 x 16 x 9)/(36 x 8) = 15 days
Correct Answer: 30 days
Explanation:
? For 1000 men, provision lasts for 48 days.
? For 1 men, provision lasts for (48 x 1000) days.
? For (1000 + 600) men, provision will last for (48 x 1000)/1600 days.
? Required number of days = (48 x 1000)/1600 = 3 x 10 = 30
Correct Answer: ? 37800
Explanation:
M1 = 12 H1 = 16, W1 = 33600
M2 = 18, H2 = 12, W2 = ?
By formula, M1H1/W1 = M2H2/W2
(12 x 16)/33600 = (18 x 12)/W2
? W2 = (33600 x 18)/16
? W2 = 2100 x 8
? W2 = 37800
Correct Answer: 4000
Explanation:
Let the required number of flies be N.
More spiders, More flies (Direct proportion)
More time, More flies (Direct proportion)
? 10 x 10 x N = 200 x 200 x 10
? N = (200 x 200 x 10)/(10 x 10) = 4000 flies
Correct Answer: 30 days
Explanation:
? For 50 students, food is sufficient for 45 days.
? For 1 students, food is sufficient for 45 x 50 days.
? For 75 students, food is sufficient for (45 x 50)/75 days i.e., for 30 days .
Correct Answer: 24
Explanation:
Work done = 1/3
Remaining work = (1 - 1/3) = 2/3
Let the number of additional men be N. (Direct proportion)
More days, Less men (Indirect proportion)
Work 1/3 : 2/3
Days 50 : 40
? 1/3 x 50 x (40 + N) = 2/3 x 40 x 40
? 5 x (40 + N) = 2 x 40 x 4
? 200 + 5N = 320
? 5N = 320 - 200 = 120
? N = 120/5 = 24
? Required number of men = 24
Correct Answer: 10 days
Explanation:
Let us assume that each soldier eats one unit of food per day. Thus, total units of food at the beginning will be 1000 x 30 = 30000.
After 10 days 1000 soldiers would have eaten 1000 x 10 = 10000 units of food. Thus food left after 10 days equals 20000 units. Now, there are total of 2000 soldiers who eat one unit of food every day. So, the number of days that 20000 units of food will serve 2000 soldiers is 20000/2000 = 10
Correct Answer: 72 days
Explanation:
Let man's 1 day's work = 1/m
and boy's 1 day's work = 1/n
1 day's work man and boy = 1/24
Man's 6 day's work = 6/m
Now, for 20 days, both man and boy do the work and for last 6 days, only man does the work.
According to the question,
1/m + 1/n = 1/24
? 20(1/m + 1/n) + 6/m = 1
? 20 x (1/24) + 6/m = 1
? 6/m = (1 - 20/24) = 4/24 = 1/6
? 1/n = 1/36
Now from eq. (i)
1/m + 1/n = 1/24
1/36 + 1/n = 1/24
? 1/n = (1/24) - (1/36) = 1/72
Hence, the boy alone can do the work in 72 days.
Correct Answer: 9 days
Explanation:
12 men ? 18 women
? 1 man ? 18/12 women ? 3/2 women
? 8 men ? (3/2) x 8 = 12 women
? 8 men + 16 women = 12 women + 16 women = 28 women
? 18 women can do the work in 14 days .
? 1 woman can do the same work in (14 x 18) days.
? 28 women will do the same work in (14 x 18)/28 days.
? Required number of days = (14 x 18)/28 = 9 days
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