Ratio & Proportion Worksheet-2

Ratio & Proportion Worksheet-2

1. If (4x² – 3y²) : (2x² + 5y²) = 12 : 19, then (x : y) is:

(a) 2 : 3              (b) 1 : 2               (c) 3 : 2              (d) 2 : 1

2. If x² + 4y² = 4xy, then x : y is:

(a) 2 : 1               (b) 1 : 2               (c) 1 : 1                (d) 1 : 4

3. If 5x² – 13xy + 6y² = 0, then x : y is:

(a) (2 : 1) only                               (b) (3 : 5) only

(c) (5 : 3) or (1 : 2)                       (d) (3 : 5) or (2 : 1)

4. If , then (x + 5) : (y + 8) is equal to :

(a) 3 : 5              (b) 13 : 8            (c) 8 : 5              (d) 5 : 8

5. If , then is equal to:

(a) 7                    (b) 2                    (c)                    (d)

6. If (a + b) : (b + c) : (c + a) = 6 : 7 : 8 and (a + b + c) = 14, then the value of c is:

(a) 6                    (b) 7                    (c) 8                    (d) 14

7. The salaries of A, B, C are in the ratio 2 : 3 : 5. If the increments of 15%, 10% and 20% are allowed respectively in their salaries, then what will be the new ratio of their salaries?

(a) 3 : 3 : 10                                   (b) 10 : 11 : 20

(c) 23 : 33 : 60                              (d) Cannot be determined

8. If Rs. 782 be divided into three parts, proportional to , then the first part is

(a) Rs. 182         (b) Rs. 190        (c) Rs. 196         (d) Rs. 204

9. If 76 is divided into four parts proportional to 7, 5, 3, 4, then the smallest part is :

(a) 12                  (b) 15                  (c) 16                  (d) 19

10. Two numbers are in the ratio 3 : 5. If 9 is subtracted from each, the new numbers are in the ratio 12 : 23. The smaller number is:

(a) 27                  (b) 33                 (c) 49                  (d) 55

11. Two numbers are in the ratio 1 : 2. If 7 is added to both, their ratio changes to 3: 5., The greatest number is:

(a) 24                  (b) 26                 (c) 28                  (d) 32

12. Rs. 1210 were divided among A, B, C so that A : B = 5 : 4 and B : C = 9 : 10. Then, C gets:

(a) Rs. 340        (b) Rs. 400        (c) Rs. 450        (d) Rs. 475

13. In a bag, there are coins of 25 p, 10 p and 5 p in the ratio of 1 : 2 : 3. If there are Rs. 30 in all, how many 5 p coins are there?

(a) 50                  (b) 100               (c) 150                (d) 200

14. The ratio of three numbers is 3 : 4 : 5 and the sum of their squares is 1250. The sum of the numbers is:

(a) 30                 (b) 50                 (c) 60                  (d) 90

15. The ratio of three numbers is 3: 4 : 7 and their product is 18144. The numbers are:

(a) 9, 12, 21                                    (b) 15, 20, 25

(c) 18, 24, 42                                 (d) None of these

Answer Key:

(1)-c; (2)-a; (3)-d; (4)-d; (5)-b; (6)-a; (7)-c; (8)-d; (9)-a; (10)-b; (11)-c; (12)-b; (13)-c; (14)-c; (15)-c