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- Question
- 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
- Correct Answer
- 1800
ExplanationSince 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. - 1. 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
- 2. 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
- 3. 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
- 4. 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 Discuss
- 5. 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
- 6. 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
- 7. If price of m articles is ? n, then what is the price of 5 articles?
Options- A. ? 5n/m
- B. ? mn/5
- C. ?m/n
- D. ? 5m/n Discuss
- 8. 12 men can do a piece of work in 24 days. How many days are needed to complete the work, if 8 men are engaged in the same work?
Options- A. 28
- B. 36
- C. 48
- D. 52 Discuss
- 9. 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
- 10. 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
Unitary Method problems
Search Results
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: 7
Explanation:
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: 50 days
Explanation:
Suppose 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 .
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: 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.
Correct Answer: ? 5n/m
Explanation:
? Price of m articles = ? n
? Price of 1 article = ? n/m
? Price of 5 articles = ? 5n/m
Correct Answer: 36
Explanation:
Let the required number of days be N.
Let men, More days (indirect proportion)
8 : 12 : : 24 : N
? N = (12 x 24)/8 = 36 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: 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
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