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- Question
- 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
- 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 - 1. 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
- 2. 22 men can complete a job in 16 days. In how many days, will 32 men complete that job?
Options- A. 14
- B. 12
- C. 16
- D. None of these Discuss
- 3. 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
- 4. Shantanu completes 5/8 of a job in 20 days. At this rate, how many more days will he take to finish the job?
Options- A. 6 days
- B. 18 days
- C. 5 days
- D. 12 days Discuss
- 5. Maganlal, a worker, makes an article in every 2/3h. If he works for 7 1/ 2h, then how many articles will he make?
Options- A. 111/4
- B. 111/3
- C. 112/6
- D. 112/5 Discuss
- 6. 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
- 7. 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
- 8. 2000 sodiers in a fort had enough food for 20 days. But some soldiers were transferred to another fort and the food lasted for 25 days. How many soldiers were transferred?
Options- A. 400
- B. 450
- C. 525
- D. 500 Discuss
- 9. 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
- 10. A garrison is provided with ration for 72 soldiers to last for 54 days. Find how long would the same amount of food last for 90 soldiers, if the individual ration is reduced by 10 %?
Options- A. 48 days
- B. 72 days
- C. 54 days
- D. 126 days Discuss
Unitary Method problems
Search Results
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: None of these
Explanation:
? 22 men do the work in 16 days.
? 1 man will do the work in 16 x 22 days.
? 32 men will do the job in = (16 x 22)/32 days
? Required number of days = (16 x 22)/32 = 11 days
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: 12 days
Explanation:
Let the required number of days be N.
Remaining work = 1 - 5/8 = 3/8
Less work, Less days (Direct proportion)
5/8 : 3/8 : : 20 : N
? N = (3/8) x 20 x 8/5
? N = 12 days
Correct Answer: 111/4
Explanation:
? In 2/3h, 1 article is made.
? In 1h, 3/2 article are made.
? In 71/2 = 15/2h, 3/2 x 15/2 = 45/4 article are made.
? Required articles = 45/4 = 112/4
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: 400
Explanation:
Let the number of soldiers transferred be N
Now, the food would last for 25 days for (2000 - N) soldiers.
Less men, More days (indirect proportion)
25 : 20 : : 2000 : (2000 - N)
? 2000 - N = (2000 x 20)/25
? 2000 - N = 1600
? N = 2000 - 1600 = 400
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: 48 days
Explanation:
Let the required number of days be N.
More men, Less days (indirect proportions)
Soldiers 90 : 72
Ratio 9 : 10
N = (72 x 54 x 10)/(90 x 9) = 48 days
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