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- Question
Jo's collection contains US, Indian and British stamps. If the ratio of US to Indian stamps is 5 to 2 and the ratio of Indian to British stamps is 5 to 1, what is the ratio of US to British stamps?
Options- A. 10 : 5
- B. 15 : 2
- C. 20 : 2
- D. 25 : 2
- Correct Answer
- 25 : 2
ExplanationIndian stamps are common to both ratios. Multiply both ratios by factors such that the Indian stamps are represented by the same number.
US : Indian = 5 : 2, and Indian : British = 5 : 1. Multiply the first by 5, and the second by 2.
Now US : Indian = 25 : 10, and Indian : British = 10 : 2
Hence the two ratios can be combined and US : British = 25 : 2
- 1. The compounded ratio of (2 : 3), (6: 11) and (11 :2) is
Options- A. 1:2
- B. 2:1
- C. 11:24
- D. 36:121 Discuss
- 2. A sum of Rs.312 was divided among 100 boys and girls in such a way that the boy gets Rs.3.60 and each girl Rs. 2.40 the number of girls is
Options- A. 35
- B. 40
- C. 45
- D. 50 Discuss
- 3. Salaries of Ravi and Sumit are in the ratio 2:3. If the salary of each is increased by Rs. 4000, the new ratio becomes 40:57. What is Sumit's salary?
Options- A. 38000
- B. 46800
- C. 36700
- D. 50000 Discuss
- 4. If Rs. 782 be divided into three parts, proportional to 12:23:34 , then the first part is?
Options- A. Rs. 182
- B. Rs. 190
- C. Rs. 192
- D. Rs. 204 Discuss
- 5. A mixture contains alcohol and water in the ratio 4 : 3. If 5 liters of water is added to the mixture, the ratio becomes 4: 5. Find the quantity of alcohol in the given mixture.
Options- A. 10
- B. 12
- C. 15
- D. 18 Discuss
- 6. If 0.75: x :: 5:8, then x is equal to:
Options- A. 1.12
- B. 1.16
- C. 1.20
- D. 1.30 Discuss
- 7. A sum of Rs. 427 is to be divided among A, B and C such that 3 times A?s share, 4 tunes B?s share and 7 times C?s share are all equal. The share of C is :
Options- A. 84
- B. 140
- C. 196
- D. 240 Discuss
- 8. In a zoo, there are rabbits and pigeons. If heads are counted, there are 340 heads and if legs are counted there are 1060 legs.How many pigeons are there?
Options- A. 120
- B. 150
- C. 170
- D. 180 Discuss
- 9. Seats for Mathematics, Physics and Biology in a school are in the ratio 5:7:8. There is a proposal to increase these seats by 40%, 50% and 75% respectively. What will be the ratio of increased seats ?
Options- A. 1:2:3
- B. 2:3:4
- C. 3:4:5
- D. 4:5:6 Discuss
- 10. The third proportional to 9 and 12 is ?
Options- A. 14
- B. 16
- C. 18
- D. 20 Discuss
Ratio and Proportion problems
Search Results
Correct Answer: 2:1
Explanation:
Compounded Ratio :: When we compound two or more ratio's with each other through product or multiplication, the result is simply a compound ratio.
Thus, the product of two or more ratios; i.e, ab:cd is a ratio compounded of the simple ratios a:c and b:d.
Required compounded ratio = (2/3 x 6/11 x 11/2) = 2/1.
Correct Answer: 40
Correct Answer: 38000
Explanation:
Let the original salaries of Ravi and Sumit be Rs. 2x and Rs. 3x respectively.
Then,
(2x+4000) / (3x+4000) = 40 / 57
? 57 × (2x + 4000) = 40 × (3x+4000)
? 6x = 68,000
? 3x = 34,000
Sumit's present salary = (3x + 4000) = Rs.(34000 + 4000) = Rs. 38,000
Correct Answer: Rs. 204
Explanation:
Given ratio = = 6:8:9
1st part = = Rs. 204
Correct Answer: 10
Explanation:
Let the quantity of alcohol and water be 4x litres and 3x litres respectively
4x/(3x+5) = 4/5
20x = 4(3x+5)
8x = 20
x = 2.5
Quantity of alcohol = (4 x 2.5) litres = 10 litres.
Correct Answer: 1.20
Explanation:
(x * 5) = (0.75 *8)
X=6/5 = 1.20
Correct Answer: 84
Explanation:
3A = 4B = 7C = k,Then A = k/3, B = k/4 and C= k/7.
A : B : C = k/3 : k/4 : k/7 = 28:21 :12.
Cs share = Rs. [427 x (12/61)] = Rs. 84
Correct Answer: 150
Explanation:
Suppose there are all the pigeons then total no of heads are 340 and total no of legs are 680.
Now, since 380 (1060-680) legs are extra, it means there will be 190 (380/2) rabbits.As we know a rabbit has two extra legs than that of a pigeon.
Therefore, number of rabbits =190
and number of pigeons = 340- 190 = 150
Correct Answer: 2:3:4
Explanation:
Originally, let the number of seats for Mathematics, Physics and Biology be 5x, 7x and 8x respectively.
Number of increased seats are (140% of 5x), (150% of 7x) and (175% of 8x).
? [(140/100) × 5x],[(150/100) × 7x] and [(175/100) × 8x]
? 7x, 21x/2 and 14x.
? The required ratio =7x : 21x/2 : 14x
? 14x : 21x : 28x
? 2 : 3 : 4
Correct Answer: 16
Explanation:
Let the third proportion to 9 & 12 be 'x'.
=> 9:12 = 12 :p
=> p = 12x12/9 = 16.
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