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- Question
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
- Correct Answer
- 2:3:4
ExplanationOriginally, 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 - 1. 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
- 2. 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
- 3. 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
- 4. 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 Discuss
- 5. 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
- 6. The third proportional to 9 and 12 is ?
Options- A. 14
- B. 16
- C. 18
- D. 20 Discuss
- 7. The salaries of A, B, and C are in the ratio of 1 : 2 : 3. The salary of B and C together is Rs. 6000. By what percent is the salary of C more than that of A?
Options- A. 100 %
- B. 200%
- C. 300%
- D. 600% Discuss
- 8. A dog takes 3 leaps for every 5 leaps of a hare. If one leap of the dog is equal to 3 leaps of the hare, the ratio of the speed of the dog to that of the hare is :
Options- A. 9:5
- B. 2:3
- C. 4:7
- D. 5:6 Discuss
- 9. In a college, the ratio of the number of boys to girls is 8 : 5. If there are 160 girls, the total number of students in the college is
Options- A. 100
- B. 250
- C. 260
- D. 416 Discuss
- 10. The concentration of petrol in three different mixtures (petrol and kerosene) is 1/2 , 3/5 and 4/5 respectively. If 2 litres, 3 litres and 1 litre are taken from these three different vessels and mixed. what is the ratio of petrol and kerosene in the new mixture?
Options- A. 4:5
- B. 3:2
- C. 3:5
- D. 2:3 Discuss
Ratio and Proportion problems
Search Results
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: 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: 1.20
Explanation:
(x * 5) = (0.75 *8)
X=6/5 = 1.20
Correct Answer: 25 : 2
Explanation:
Indian 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
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: 16
Explanation:
Let the third proportion to 9 & 12 be 'x'.
=> 9:12 = 12 :p
=> p = 12x12/9 = 16.
Correct Answer: 200%
Explanation:
Let the salaries of A, B, C be x, 2x and 3x respectively.
Then,2x + 3x = 6000 => x = 1200.
A's salary = Rs. 1200, B's salary = Rs. 2400, and Cs salary Rs. 3600.
Excess of C's salary over A's=[ (2400 /1200) x 100] = 200%.
Correct Answer: 9:5
Explanation:
Dog : Hare = (3*3) leaps of hare : 5 leaps of hare = 9 : 5.
Correct Answer: 416
Explanation:
Let the number of boys and girls be 8x and 5x.
Total number of students = 13x = 13 * 32 = 416.
Correct Answer: 3:2
Explanation:
Concentration of petrol in A B C
1/2 3/5 4/5
Quantity of petrol taken from A = 1 litre out of 2 litre
Quantity of petrol taken from B = 1.8litre out of 3 litre
Quantity of petrol taken from C = 0.8 litre out of 1 litre
Therefore, total petrol taken out from A, B and C = 1+1.8+0.8 =3.6 litres
So, the quantity of kerosen =(2+3+1) - 3.6 =2.4 litre
Thus, the ratio of petrol to kerosene = 3.6/2.4 = 3/2
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