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- Question
- 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
- Correct Answer
- 72 days
ExplanationLet 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. - 1. 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
- 2. Three pumps working 8 hours a day, can empty a tank in 2 days. How many hours a day must 4 pumps work to empty the tank in 1 day?
Options- A. 19
- B. 14
- C. 11
- D. 12 Discuss
- 3. In a camp, food was sufficient for 2000 people for 54 days. After 15 days, more people came and the food last only for 20 more days. How many people came?
Options- A. 1900
- B. 2400
- C. 1940
- D. 2220 Discuss
- 4. A hostel had provisions for 250 men for 40 days. If 50 men left the hostel, how long will the food last at the same rate?
Options- A. 58 days
- B. 50 days
- C. 45 days
- D. 67 days Discuss
- 5. A garrison of 500 persons had provisions for 27 days. After 3 days a reinforcement of 300 persons arrived. For how many more days will the remaining food last now?
Options- A. 27 days
- B. 28 days
- C. 26 days
- D. 15 days Discuss
- 6. 25 men can reap a field in 20 days. when should 15 men leave the work, if the whole field is to be reaped in 37 1/ 2 days after they leave the work?
Options- A. After 5 days
- B. After 10 days
- C. After 9 days
- D. After 7 days Discuss
- 7. 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
- 8. When a 192 meters long rod is cut down into small pieces of length 3·2 meters each. Then how many pieces are available?
Options- A. 52
- B. 68
- C. 62
- D. None of these Discuss
- 9. The cost of 2 tables is equal to the cost of 5 chairs. If the difference of the cost of one table and one chair is Rs. 1200, then the cost of one chair is ?
Options- A. Rs. 500
- B. Rs. 400
- C. Rs. 800
- D. Rs. 600 Discuss
- 10. If the cost of 1/4 th of kg is Rs. 0·60, then what is the cost of 200 gm ?
Options- A. 42 paise
- B. 48 paise
- C. 40 paise
- D. 50 paise Discuss
Unitary Method problems
Search Results
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: 12
Explanation:
According to question ,
3 pumps working in 2 days = 8 × 2 = 16 hours
It means that they can empty a tank in 16 hours .
3 pumps 1 hour work = 1/16
1 pumps 1 hour work = 1/( 3 × 16 )
4 pumps 1 hour work =4 × 1/( 3 × 16 ) = 1 / 12
Hence , they will empty the tank in 12 hours .
Correct Answer: 1900
Explanation:
Correct Answer: 50 days
Explanation:
Suppose the food will last for D days at same rate .
250 men had provisions for 40 days.
( 250 - 50 ) men had provisions for D days.
Less men, More days ( Indirect Proportion )
we can write as :-
? 200 : 250 :: 40 : D ? (200 × D ) =( 250 × 40 )
? ( 250 × 40 ) /200 = 50
Therefore , 50 days is required answer .
Correct Answer: 15 days
Explanation:
Let the remaining food will last for D days.
500 men had provisions for (27 ? 3) = 24 days.
( 500 + 300 ) men had provisions for D days.
More men, Less days ( Indirect Proportion )
we can write as :-
? 800 : 500 :: 24 : x ? (800 × D ) =( 500 × 24 )
? ( 500 × 24 ) /800 =15
Therefore , 15 days is correct answer .
Correct Answer: After 5 days
Explanation:
Let 15 men work for m days.
Work done in 1 days = m/20
Remaining work = (1 - m/20)
25 men's 1 days work = 1/20
1 man's 1 days work = (1/20) x (1/25) = 1/500
10 men's 1 days work = 10/500 = 1/50
10 men's 75/2 days work = (1/50) x (75/2) = 75/100 = 3/4
? (1 - m/20) = 3/4
? m/20 = 1/4
? m = (1/4) x 20 = 5
Clearly, 15 men leave after 5 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
Correct Answer: None of these
Explanation:
Correct Answer: Rs. 800
Explanation:
Correct Answer: 48 paise
Explanation:
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