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- Question
- 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
- 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 . - 1. 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
- 2. 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
- 3. 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
- 4. 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
- 5. 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
- 6. 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
- 7. 3 men can do a piece of work in 18 days. 6 boys can also do the same work in 18 days. In how many days, 4 men and 4 boys together will finish the work?
Options- A. 10 days
- B. 6 days
- C. 12 days
- D. 9 days Discuss
- 8. 10 men and 8 women can together complete a work in 5 days. Work done by a women is equal to the half of the work done by a man. In how many days, will 4 men and 6 women complete that work?
Options- A. 12 days
- B. 10 days
- C. 82/3 days
- D. 93/4 days Discuss
- 9. 8 men can complete a work in 12 days, 4 women can complete it in 48 days and 10 children can complete the same work in 24 days. In how many days can 10 men, 4 women and 10 children complete the same work?
Options- A. 10 days
- B. 5 days
- C. 7 days
- D. 6 days Discuss
- 10. 20 men complete one-third of a work in 20 days. How many more men should be employed to finish the rest of the work in 25 more days?
Options- A. 10
- B. 12
- C. 15
- D. 20 Discuss
Unitary Method problems
Search Results
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: 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: ? 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: 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: 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: 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
Correct Answer: 9 days
Explanation:
3 men ? 6 boys
? 1 man ? 2 boys
? 4 men + 4 boys ? 4 men + 2 men = 6 men
? 3 men can do a work in 18 days.
? 1 man can do a work in 18 x 3 days.
? Required number of days = (18 x 3)/6 = 9 days
Correct Answer: 10 days
Explanation:
1 women ? 1/2 man
10 men + 8 women ? 10 men + 4 men = 14 men
4 men + 6 women ? 4 men + 3 men = 7 men
More men, Less days (Indirect proportion) 7 : 14 : : 5 : N
? N = (14 x 5)/7 = 10 days
Correct Answer: 6 days
Explanation:
1 man can finish the work in (8 x 12) = 96 days
1 woman can finish the work in (4 x 48) = 192 days
1 child can finish the work in (10 x 24) = 240 days
1 man's 1 day's work = 1/96
1 women's 1 day's work = 1/192
1 child's 1 day's work = 1/240
(10 men + 4 women + 10 children)'s 1 day's work = (10/96 + 4/192 + 10/240)
= (5/48 + 1/48 + 1/24)
= (5 + 1 + 2)/48)
= 8/48 = 1/6
Hence, they will finish the work in 6 days.
Correct Answer: 12
Explanation:
Work done = 1/3
Remaining work = 1 - (1/3) = 2/3
Let the number of more men to be employed be N.
More work, More men (Direct proportion)
More days, Less men (Indirect proportion)
Work 1/3 : 2/3
Days 25 : 20
? 1/3 x 25 x (20 + N) = 2/3 x 20 x 20
? (20 + N) = 800/25 = 32
? N = 32 - 20 = 12
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