## 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