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- Question
- A garrison had provisions for a certain number of days. After 10 days, 1 / 5 of the men desert and it is found that the provisions will now last just as long as before. How long was that?
Options- A. 50 days
- B. 70 days
- C. 45 days
- D. 48 days
- Correct Answer
- 50 days
ExplanationSuppose that y men had provisions for D days .Then y men had provisions for ( D - 10 ) days .
[ y - ( y/5 ) ] men had provisions for D days .
According to question ,
? y( D - 10 ) = ( 4y/5 ) x D ? 5Dy - 50y = 4Dy
? Dy - 50y = 0 ? y( D - 50 ) = 0 ? D = 50 days
Hence required answer is 50 days . - 1. A rope can make 70 rounds of the circumference of a cylinder whose radius of the base is 14 cm. how many times can it go round a cylinder having radius 20 cm?
Options- A. 49 rounds
- B. 54 rounds
- C. 56 rounds
- D. 77 rounds Discuss
- 2. A person works on a project and completes 5/8 of the job in 10 days. At this rate, how many more days will he it take to finish the job?
Options- A. 12
- B. 16
- C. 10
- D. 9 Discuss
- 3. If the Price of 6 toys is Rs. 264.37, What will be the approximate price (Rs) of 5 toys?
Options- A. 230
- B. 120
- C. 320
- D. 220 Discuss
- 4. If 18 binders bind 900 books in 10 days, How many binders will be required to bind 660 books in 12 days?
Options- A. 21
- B. 14
- C. 18
- D. 11 Discuss
- 5. A certain industrial loom weaves 0.128 meters of cloth every second. Approximately how many seconds will it take for the loom to weave 25 meters of cloth?
Options- A. 220
- B. 200
- C. 170
- D. 195 Discuss
- 6. A certain number of men can finish a piece of work in 100 days. If there were 10 men less, it would take 10 days more for the work to be finished. How many men were there originally?
Options- A. 75
- B. 92
- C. 120
- D. 110 Discuss
- 7. If 7 spiders make 7 webs in 7 days, then 1 spider will make 1 web in how many days?
Options- A. 1
- B. 8
- C. 7
- D. None Discuss
- 8. A flagstaff 17.5 meters high casts a shadow of length 40.25 meters. What will be the height of a building, which casts a shadow of length 28.75 meters under similar conditions?
Options- A. 12.5 m
- B. 11.5 m
- C. 14.8
- D. 12.9 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. 648
- B. 1800
- C. 1700
- D. 1080 Discuss
- 10. If in a hostel 45 days, food is available food is available for 50 students, for how many days will this food be sufficient for 75 students?
Options- A. 25 days
- B. 28 days
- C. 30 days
- D. 40 days Discuss
Unitary Method problems
Search Results
Correct Answer: 49 rounds
Explanation:
Given in the question,
If radius is 14 cm then rope can make 70 rounds.
If radius is 1 cm then rope can make 70 x 14 rounds.
If radius is 20 cm then rope can make 70 x 14 / 20 rounds.
If radius is 20 cm then rope can make 7 x 7 rounds.
If radius is 20 cm then rope can make 49 rounds.
Correct Answer: 16
Explanation:
A person completes 5/8 part of the project in 10 days.
A person completes the project in 10/5/8 days.
A person completes the project in 10 x 8 /5 days.
A person completes the project in 2 x 8 days.
A person completes the project in 16 days.
Correct Answer: 220
Explanation:
Given in the question,
Price of 6 toys is Rs. 264.37.
? Price of 1 toys is Rs. 264.37/ 6 .
? Price of 5 toys is Rs. 264.37 x 5 / 6 .
? Price of 5 toys is Rs. 44 x 5 .
? Price of 5 toys is Rs. 220.
Correct Answer: 11
Explanation:
According to given question,
Since 900 books are bonded in 10 days by 18 binders.
? 1 books are bonded in 10 days by 18 / 900 binders.
? 1 books are bonded in 1 days by 18 x 10 / 900 binders.
? 660 books are bonded in 1 days by 18 x 10 x 660 / 900 binders.
? 660 books are bonded in 12 days by 18 x 10 x 660 / 12 x 900 binders.
? 660 books are bonded in 12 days by 18 x 10 x 55 / 900 binders.
? 660 books are bonded in 12 days by 18 x 55 / 90 binders.
? 660 books are bonded in 12 days by 55 / 5 binders.
? 660 books are bonded in 12 days by 11 binders.
Correct Answer: 195
Explanation:
A certain industrial loom weaves 0.128 meters of cloth in 1 second.
A certain industrial loom weaves 1 meters of cloth in 1/0.128 second.
A certain industrial loom weaves 25 meters of cloth in 25 x 1/ 0.128 second.
A certain industrial loom weaves 25 meters of cloth in 195.312 second.
Correct Answer: 110
Explanation:
Given in the question,
Let k be the men there originally .
Work done by y men can finish = 100 days
If there were 10 men less, it would take more days finish the work in 10 days
i.e. ( k - 10 ) = 110
According to question ,
k × 100 = ( k - 10 ) × 110
? 100k = 110k - 1100 ? 10k = 1100 ? k = 110
Therefore , 110 men were there originally .
Correct Answer: 7
Explanation:
Correct Answer: 12.5 m
Explanation:
According to question,
A shadow of length 40.25 meters is build for a height of 17.5 meters.
A shadow of length 1 meters is build for a height of 17.5 /40.25 meters.
A shadow of length 28.75 meters is build for a height of 17.5 x 28.75 /40.25 meters.
A shadow of length 28.75 meters is build for a height of 17.5 x 2875 /4025 meters.
A shadow of length 28.75 meters is build for a height of 17.5 x 575 /805 meters.
A shadow of length 28.75 meters is build for a height of 17.5 x 115/161 meters.
A shadow of length 28.75 meters is build for a height of 12.5 meters.
Correct Answer: 1800
Explanation:
Since 6 identical machines in 1 minute can produce a total of 270 bottles.
? 1 identical machines in 1 minute can produce a total of 270 / 6 bottles.
? 10 identical machines in 1 minute can produce a total of 270 x 10 / 6 bottles.
? 10 identical machines in 4 minute can produce a total of 270 x 10 x 4 / 6 bottles.
? 10 identical machines in 4 minute can produce a total of 45 x 10 x 4 bottles.
? 10 identical machines in 4 minute can produce a total of 1800 bottles.
Correct Answer: 30 days
Explanation:
For 50 students, food is sufficient for 45 days
? For 1 student, food is sufficient for 45 x 50 days
and for 75 students, food is sufficient for (45 x 50)/75 days. i,e., for 30 days.
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