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- Question
There is certain numbers of toys in the box. They are divided into such a way that the person who gets 1/4 of the whole gets thrice of what the others get on an average. Find the number of people amongst whom the toys are distributed?
Options- A. 8
- B. 10
- C. 12
- D. 9
- Correct Answer
- 10
ExplanationIf the person who gets 1/4 of the whole gets thrice of what the others get on an average, each one will get =1/3×1/4=112 of the whole.
Therefore, if there are k persons other than the person who gets one-fourth, then 1/4 + k/12 = 1
? k=9
Hence, total number of people = 10. - 1. In a competitive exam, the number of passed students was four times the number of failed students. If there had been 35 fewer appeared students and 9 more had failed, the ratio of passed and failed students would have been 2 : 1, then the total number of students appered for the exam ?
Options- A. 175
- B. 165
- C. 155
- D. 145 Discuss
- 2. The incomes of two persons A and B are in the ratio 3 : 4. If each saves Rs.100 per month, the ratio of their expenditures is Rs. 1 : 2. Find their incomes.
Options- A. Rs. 100 and Rs.150
- B. Rs. 150 and Rs.200
- C. Rs.200 and Rs.250
- D. Rs.250 and Rs.300 Discuss
- 3. Vinod have 20 rupees. He bought 1, 2, 5 rupee stamps. They are different in numbers by the reason of no change, the shop keeper gives 3 one rupee stamps. So how many stamps Vinod have ?
Options- A. 10
- B. 18
- C. 12
- D. 15 Discuss
- 4. Two numbers are in the ratio 3 : 7. If 6 be added to each of them, then they are in the ratio 5 : 9. Find the numbers ?
Options- A. 11 & 17
- B. 7 & 17
- C. 9 & 21
- D. 13 & 23 Discuss
- 5. The ratio of Pens and Pencils in a shop is 3 : 2 respectively. The average number of Pens and Pencils is 180. What is the number of Pencils in the shop?
Options- A. 444
- B. 344
- C. 244
- D. 144 Discuss
- 6. 16 : 56 :: 32 : ?
Options- A. 196
- B. 148
- C. 132
- D. 112 Discuss
- 7. What is the ratio whose terms differ by 40 and the measure of which is 2/7 ?
Options- A. 16:56
- B. 14:56
- C. 15:56
- D. 16:72 Discuss
- 8. Pencils, Pens and Exercise books in a shop are in the ratio of 10: 2 : 3. If there are 120 pencils, the number of exercise books in the shop is:
Options- A. 26
- B. 36
- C. 46
- D. 56 Discuss
- 9. In a cricket match total number of runs scored by Virat, Dhoni and Rohit is 285. The ratio of the number of runs scored by Virat and Rohit is 3 : 2 and that of the runs scored by Rohit and Dhoni is also 3 : 2. The number of runs scored by Virat in that match?
Options- A. 154
- B. 135
- C. 112
- D. 106 Discuss
- 10. Maneela lent Rs. 8000 partly at the rate of 5% and partly at the rate of 6% per annum simple interest. The total interest she get after 2 years is Rs. 820, then in which ratio will Rs. 8000 is to be divided?
Options- A. 7:1
- B. 13:5
- C. 15:7
- D. 2:7 Discuss
Ratio and Proportion problems
Search Results
Correct Answer: 155
Explanation:
Let the number of failed students be x
=> Number of passed students = 4x
So total number of students was 5x
From the given data,
If total number of students be 5x ? 35
=> 4x-35-9/x+9 = 2/1
=> 4x ? 44 = 2(x + 9)
=> 4x ? 2x = 18 + 44
=> x = 31
Total number = 31×5
= 155
Correct Answer: Rs. 150 and Rs.200
Explanation:
Let the incomes of A and B be 3P and 4P.
If each saves Rs. 100 per month, then their expenditures = Income - savings = (3P - 100) and (4P - 100).
The ratio of their expenditures is given as 1 : 2.
Therefor, (3P - 100) : (4P - 100) = 1 : 2
Solving, We get P = 50. Substitute this value of P in 3P and 4P.
Thus, their incomes are : Rs.150 and Rs.200
Correct Answer: 10
Explanation:
Given total rupees = 20 Rs
No. of one rupee stamps = 3
Now, remaining money = Rs. 17
With that he buys only 2 and 5 rupee stamps
Let number of Rs. 5 stamps = K
Let number of Rs. 2 stamps = L
5K + 2L = 17
K = 3, L = 1 (possible)
L = 6, K = 1 (possible)
=> But given that they are different in number so, K is not equal to 3
one rupee stamps = 3
2 two stamps = 6
5 rupee stamps = 1
Total number of stamps = 10.
Correct Answer: 9 & 21
Explanation:
Let the two numbers be x and y
Given x : y = 3 : 7 .....(1)
Now, x+6 : y+6 = 5 : 9 .....(2)
From (1), x = 3y/7
From (2), 5y - 9x = 24
=> 5y - 9(3y/7) = 24
=> y = 21
=> From(1), x = 9
Hence, the two numbers be 9 and 21
Correct Answer: 144
Explanation:
Given ratio of pens and pencils = 3 :2
Number of Pens = 3x
Number of Pencils = 2x
Average number of pencils & Pens = 180
5x = 360
=> x = 72
Hence, the number of pencils = 2x = 72 x 2 = 144.
Correct Answer: 112
Explanation:
16 : 56 :: 32 : ?
Let the required number be 'n'
The given numbers follow a logic that,
16/56 = 2/7
=> 32/n = 2/7
=> 32 x 7/2 = n
=> n = 112.
Hence, 16 : 56 :: 32 : 112.
Correct Answer: 16:56
Correct Answer: 36
Explanation:
Let Pencils = 10x, Pens = 2x & Exercise books = 3x. Now, 10x = 120 hence x = 12.
Number of exercise books = 3x = 36.
Correct Answer: 135
Explanation:
From the given data,
Virat : Rohit = 3 : 2
Rohit : Dhoni = 3 : 2
Ratio of runs scored by Virat, Rohit and Dhoni respectively
= 3 x 3 : 2 x 3 : 2 x 2
9 : 6 : 4
Runs scored by Virat = 9/19 x 285 = 135.
Correct Answer: 7:1
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