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- Question
A wheel that has 6 cogs is meshed with a larger wheel of 14 cogs. When the smaller wheel has made 21 revolutions, then the number of revolutions mad by the larger wheel is:
Options- A. 4
- B. 9
- C. 12
- D. 49
- Correct Answer
- 9
Explanation
Let the required number of revolutions made by larger wheel be xThen, More cogs, Less revolutions (Indirect Proportion)
∴ 14 : 6 :: 21 : x ⟺ 14 x x = 6 x 21
⟹ x = 6 x 21 14 ⟹ x = 9.
- 1. In a camp, there is a meal for 120 men or 200 children. If 150 children have taken the meal, how many men will be catered to with remaining meal?
Options- A. 20
- B. 30
- C. 40
- D. 50 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. 7⁄2
- C. 7
- D. 49 Discuss
- 3. An industrial loom weaves 0.128 metres of cloth every second. Approximately, how many seconds will it take for the loom to weave 25 metres of cloth?
Options- A. 178
- B. 195
- C. 204
- D. 488 Discuss
- 4. A flagstaff 17.5 m high casts a shadow of length 40.25 m. The height of the building, which casts a shadow of length 28.75 m under similar conditions will be:
Options- A. 10 m
- B. 12.5 m
- C. 17.5 m
- D. 21.25 m Discuss
- 5. 4 mat-weavers can weave 4 mats in 4 days. At the same rate, how many mats would be woven by 8 mat-weavers in 8 days?
Options- A. 4
- B. 8
- C. 12
- D. 16 Discuss
- 6. If the cost of x metres of wire is d rupees, then what is the cost of y metres of wire at the same rate?
Options- A. Rs. (xy⁄d)
- B. Rs. (xd)
- C. Rs. (yd)
- D. Rs. (yd⁄x) Discuss
- 7. 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. 2700
- D. 10800 Discuss
- 8. If a quarter kg of potato costs 60 paise, how many paise will 200 gm cost?
Options- A. 48 paise
- B. 54 paise
- C. 56 paise
- D. 72 paise Discuss
- 9. A fort had provision of food for 150 men for 45 days. After 10 days, 25 men left the fort. The number of days for which the remaining food will last, is:
Options- A. 29 1⁄5
- B. 37 1⁄4
- C. 42
- D. 54 Discuss
- 10. A man completes 5⁄8 of a job in 10 days. At this rate, how many more days will it takes him to finish the job?
Options- A. 5
- B. 6
- C. 7
- D. 7 1⁄2 Discuss
Chain Rule problems
Search Results
Correct Answer: 30
Explanation:
There is a meal for 200 children. 150 children have taken the meal.
Remaining meal is to be catered to 50 children.
Now, 200 children ≡ 120 men.
| 50 children ≡ | ❨ | 120 | x 50 | ❩ | = 30 men. |
| 200 |
Correct Answer: 7
Explanation:
Let the required number days be x
Less spiders, More days (Indirect Proportion)
Less webs, Less days (Direct Proportion)
| Spiders | 1 | : | 7 | ] | :: 7 : x |
| Webs | 7 | : | 1 |
∴ 1 x 7 x x = 7 x 1 x 7
⟹ x = 7.
Correct Answer: 195
Explanation:
Let the required time be x seconds.
More metres, More time (Direct Proportion)
∴ 0.128 : 25 :: 1 : x ⟺ 0.128x = 25 x 1
| x = | 25 | = | 25 x 1000 |
| 0.128 | 128 |
⟹ x = 195.31.
∴ Required time = 195 sec (approximately).
Correct Answer: 12.5 m
Explanation:
Let the height of the building x metres.
Less lengthy shadow, Less in the height (Direct Proportion)
∴ 40.25 : 28.75 :: 17.5 : x ⟺ 40.25 x x = 28.75 x 17.5
| x = | 28.75 x 17.5 |
| 40.25 |
⟹ x = 12.5
Correct Answer: 16
Explanation:
Let the required number of bottles be x
More weavers, More mats (Direct Proportion)
More days, More mats (Direct Proportion)
| Wavers | 4 | : | 8 | ] | :: 4 : x |
| Days | 4 | : | 8 |
∴ 4 x 4 x x = 8 x 8 x 4
| ⟹ x = | (8 x 8 x 4) |
| (4 x 4) |
⟹ x = 16.
Correct Answer: Rs. (yd⁄x)
Explanation:
Cost of x metres = Rs. d.
| Cost of 1 metre = Rs. | ❨ | d | ❩ |
| x |
| Cost of y metres = Rs. | ❨ | d | . y | ❩ | = Rs. | ❨ | yd | ❩. |
| x | x |
Correct Answer: 1800
Explanation:
Let the required number of bottles be x
More machines, More bottles (Direct Proportion)
More minutes, More bottles (Direct Proportion)
| Machines | 6 | : | 10 | ] | :: 270 : x |
| Time (in minutes) | 1 | : | 4 |
∴ 6 x 1 x x = 10 x 4 x 270
| ⟹ x = | (10 x 4 x 270) |
| (6) |
⟹ x = 1800.
Correct Answer: 48 paise
Explanation:
Let the required weight be x kg.
Less weight, Less cost (Direct Proportion)
∴ 250 : 200 :: 60 : x ⟺ 250 x x = (200 x 60)
| ⟹ x= | (200 x 60) |
| 250 |
⟹ x = 48.
Correct Answer: 42
Explanation:
After 10 days : 150 men had food for 35 days.
Suppose 125 men had food for x days.
Now, Less men, More days (Indirect Proportion)
∴ 125 : 150 :: 35 : x ⟺ 125 x x = 150 x 35
| ⟹ x = | 150 x 35 |
| 125 |
⟹ x = 42.
Correct Answer: 6
Explanation:
| Work done = | 5 |
| 8 |
| Balance work = | ❨ | 1 - | 5 | ❩ | = | 3 |
| 8 | 8 |
Let the required number of days be x.
| Then, | 5 | : | 3 | = :: 10 : x | ⟺ | 5 | x x = | 3 | x 10 |
| 8 | 8 | 8 | 8 |
| ⟹ x = | ❨ | 3 | x 10 x | 8 | ❩ |
| 8 | 5 |
⟹ x = 6.
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