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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
ExplanationLet the required number of revolutions made by larger wheel be x.
Then, More cogs, Less revolutions (Indirect Proportion)
14 : 6 :: 21 : x => 14 x x = 6 x 21
x=6*21/14 => x=9
- 1. If 8 men can reap 80 hectares in 24 days , then how many hectares can 36 men reap in 30 days?
Options- A. 350
- B. 400
- C. 425
- D. 450 Discuss
- 2. If a person having Rs. 2000 and he want to distribute this to his five children in the manner that each son having Rs. 30 more than the younger one , what will be the share of youngest child ?
Options- A. Rs. 175
- B. Rs. 325
- C. Rs. 340
- D. Rs. 260 Discuss
- 3. In a queue, Shankar is ninth from the rear end. Althaf's place is eighth from the front. Nitu is standing between the two. What could be the minimum numbers of boys standing in the queue ?
Options- A. 18
- B. 14
- C. 22
- D. 24 Discuss
- 4. Some persons can do a piece of work in 12 days. Two times the number of such persons will do half of that work in
Options- A. 6 days
- B. 12 days
- C. 4 days
- D. 3 days Discuss
- 5. The sum of 3rd and 15th elements of an arithmetic progression is equal to the sum of 6th, 11th and 13th elements of the same progression. Then which element of the series should necessarily be equal to zero ?
Options- A. 14th element
- B. 9th element
- C. 12th element
- D. 7th element Discuss
- 6. 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
- B. 37
- C. 42
- D. 54 Discuss
- 7. 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
- 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. In a dairy farm, 40 cows eat 40 bags of husk in 40 days. In how many days one cow will eat one bag of husk?
Options- A. 1
- B. 1/40
- C. 40
- D. 80 Discuss
- 10. 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. 16
- B. 12
- C. 8
- D. 4 Discuss
Chain Rule problems
Search Results
Correct Answer: 450
Explanation:
Let the required no of hectares be x. Then
More men, More hectares (Direct proportion)
More days, More hectares (Direct proportion)
=> ( 8 * 24 * x) = (36 * 30 * 80)
=> x= 450
Correct Answer: Rs. 340
Explanation:
Assume first child (the youngest) get = Rs. x
According to the question ;
each son having Rs. 30 more than the younger one
Second child will get = Rs. x + 30
Third child will get = Rs. x + 30 + 30 = x + 60
Forth child will get = Rs. x + 30 + 30 + 30 = x + 90
Fifth child will get = Rs. x + 30 + 30 + 30 + 30 = x + 120
Total amount they got = Rs. 2000
x + (x+30) + (x+60) + (x+90) + (x+120) = 2000
5x + 300 = 2000
5x = 1700
x = Rs. 340
So the youngest child will get Rs. 340.
Correct Answer: 14
Explanation:
1 2 3 4 5 6(Shankar) 7(Nitu) 8(Althaf) 9 10 11 12 13 14
Here, Althaf is 8th from front, Shankar is 9th from rear end and Nitu is between them
So minimum no. of boys standing in the queue = 14
Correct Answer: 3 days
Explanation:
Let x men can do the in 12 days and the required number of days be z
More men, Less days [Indirect Proportion]
Less work, Less days [Direct Proportion ]
Correct Answer: 12th element
Explanation:
If we consider the third term to be ?x?
The 15th term will be (x + 12d)
6th term will be (x + 3d)
11th term will be (x + 8d) and
13th term will be (x + 10d).
Thus, as per the given condition, 2x + 12d = 3x + 21d.Or x + 9d = 0.
x + 9d will be the 12th term.
Thus, 12th term of the A.P will be zero.
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
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/x).y] = Rs.(yd/x)
Correct Answer: 48 Paise
Explanation:
Let the Required cost be X paise. Less Weight , Less cost (Direct Proportion)
Therefore, 250 : 200 :: 60 : x
=> (250 * x) = (200 * 60)
=> x= 48
Correct Answer: 40
Explanation:
Let the required number of days be x.
Less cows, More days (Indirect Proportion)
Less bags, Less days (Direct Proportion)
1 x 40 x x = 40 x 1 x 40
=> x = 40.
Correct Answer: 16
Explanation:
Let the required number of bottles be x.
More weavers, More mats (Direct Proportion)
More days, More mats (Direct Proportion)
4 x 4 x x = 8 x 8 x 4
=> x =
=> x = 16.
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