Assignment - 4
1. If 20% of (P+Q) = 50% of (P-Q), then find P: Q
a) 3:7 B) 7:3 c) 5:6 d) 6:5
2. If a: b=2/9:1/3, b:c=2/7:5/14 and d:c=7/10:3/5, then find a: b::c:d
a) 16:24:30:35 B)16:30:35:24 c)20:30:16:35 d)16:24:35:30
3. If (2x+3y): (3x+5y) = 18:29, what is the value of x: y?
a) 4:3 B) 3:4 c) 1:3 d)3:1
4. If x is the mean proportional between 12.8 and 64.8 and y is the third Proportional to 38.4 and 57.6, then 2x:y is equal to:
a) 12:3 B) 4:5 c)3:4 d)1:2
5. The ratio of the number of boys to the number of girls in a school of 640 student is 5:3 if 30 more girls are admitted in the school, then How many more boys should be admitted so that the ratio of boys to That of girls, become 14:9
a) 30 B) 25 c) 15 d) 20
6. Divide 1050 among A, B and C such that A receives 2/5 as much as B and C together and B receives 3/7 as much as A and C together.
a) 300, 315, 435 B) 312, 315, 520 c)315, 312, 420 d)425,300,520
7. 78 is divided into two parts such that the ratio between four times of first part and five times of second part is 14:15. The first part is
a)42 B)36 c)30 d)48
8. The ratio of two numbers is 3:5 if eight is added to the first, and seven to the second, then the ratio becomes 2:3. what will the ratio become if 6 is added to each?
a) 5:9 B) 5:7 c) 7:9 d) 9:14
9.Find the third proportion to 6 and 12
a)18 B)9 c)24 d)12
10. If P: Q = 5:2, then (2P-3Q): (3P-5Q) is equal to
a) 5:6 B) 2:7 c) 4:5 d) 3:4
11. In a bag, the ratio of the number of 2 rupee, 1 rupee and 50 paise coins is 3:4:5. If the total amount in the bag is 250, then how many 1 rupee coins are there?
a) 70 B)100 c)60 d)80
12. Find the third proportional to 25 and 30
a)36 B)32 c)34 d)38
13. The ratio of syrup and water in a mixture is 3:1, then the percentage of syrup in this mixture is
a)75% B)25% c)66 2/3% d)33 1/3%
14. a+b+c-ab-bc-ca=0 then a:b:c is
a) 1:1:2 B) 1:1:1 c) 1:2:1 d) 2:1:1
15. The simplest form of the ratio 1.5:2.5 is
a) 3:5 B) 6:10 c) 15:25 d) 75:1.25
16. Three numbers A, B and C are in the ratio 12:15:25. If the sum of these numbers is 312, the ratio between the difference of B and A and the difference of C and B is
a) 3:7 B) 5:1 c) 3:10 d) 10:3
17. A man spends a part of his monthly income and saves a part of it. The ratio of his expenditure to his savings is 16: 3. If his monthly income is 28500, what is the amount of his monthly savings?
(a) 4,000 (b) 4,500 (c) 5,000 (d) 5,500
18. Salaries of Rohan and Sumit are in the ratio 7: 8. Both get an increase of 5% in their salaries. After increase, the salary of Sumit is 42,000. What was the old salary of Rohan?
(a) 4,000 (c) 36,750 (b) 35,000 (d) None of these
19. The mean proportional between 234 and 104 is bot
(a) 12 (b) 54 (c) 39 (d) None of these
20. The mean proportional between 0.02 and 0.32 is
(a) 0.3 (b) 0.08 (c) 0.16 (d) 0.34