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- Question
- 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
- Correct Answer
- 12
ExplanationWork 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 - 1. 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
- 2. 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
- 3. 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
- 4. 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
- 5. 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
- 6. 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
- 7. If 7 spiders make 7 webs in 7 days, then how many days are needed for 1 spider to make 1 web?
Options- A. 10
- B. 7
- C. 3
- D. 4 Discuss
- 8. If 16 men working 7 hours day can plough a field in 48 days, in how many days will 14 men working 12 hours a clay plough the same field?
Options- A. 56
- B. 32
- C. 38
- D. 30 Discuss
- 9. Running at the same constant rate, 6 identical machines can produce a total of 270 bottles per minute. At this rate, how many bottles could 10 such machines produce in 4 minutes?
Options- A. 1800
- B. 1600
- C. 2500
- D. 1700 Discuss
- 10. If the price of 357 apples is Rs. 1517.25, what will be the approximate price of 49 dozens of such apples?
Options- A. Rs. 2500
- B. Rs. 2800
- C. Rs. 2900
- D. Rs. 2400 Discuss
Unitary Method problems
Search Results
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: 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: 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: 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: 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: 7
Explanation:
7 spiders make 7 webs in 7 days.
? 1 spiders make 7 webs in 7 x 7 days.
? 1 spiders make 1 webs in 7 x 7 / 7 days.
? 1 spiders make 1 webs in 7 days.
Correct Answer: 32
Explanation:
16 men working 7 hours day can plough a field in 48 days.
1 men working 7 hours day can plough a field in 48 x 16 days.
1 men working 1 hours day can plough a field in 48 x 16 x 7 days.
14 men working 1 hours day can plough a field in 48 x 16 x 7 / 14 days.
14 men working 12 hours day can plough a field in 48 x 16 x 7 / 14 x 12 days.
14 men working 12 hours day can plough a field in 48 x 16 / 2 x 12 days.
14 men working 12 hours day can plough a field in 48 x 4 / 2 x 3 days.
14 men working 12 hours day can plough a field in 48 x 2 / 3 days.
14 men working 12 hours day can plough a field in 16 x 2 = 32 days.
Correct Answer: 1800
Explanation:
As per given question,
In 1 minute, 6 identical machines can produce a total of 270 bottles.
In 1 minute, 1 identical machines can produce a total of 270 / 6 bottles.
In 1 minute, 10 identical machines can produce a total of 270 x 10 / 6 bottles.
In 4 minute, 10 identical machines can produce a total of 270 x 10 x 4 / 6 bottles.
In 4 minute, 10 identical machines can produce a total of 45 x 10 x 4 bottles.
In 4 minute, 10 identical machines can produce a total of 1800 bottles.
Correct Answer: Rs. 2500
Explanation:
As we know that,
1 Dozen = 12 piece
49 Dozen = 49 x 12 piece
Price of 357 apples is Rs. 1517.25.
Price of 1 apples is Rs. 1517.25 / 357.
Price of 49 x 12 apples is Rs. 1517.25 x 49 x 12 / 357.
Price of 49 x 12 apples is Rs. 1517.25 x 7 x 12 / 51.
Price of 49 x 12 apples is Rs. 1517.25 x 7 x 4 / 17.
Price of 49 x 12 apples is Rs. 2499.
So Price will be around 2500 and answer will be 2500.
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