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Home › Grade8 › OLYMPIAD › Math Olympiad-Grade-8 › Ratio & Proportion › Ratio & Proportion Worksheet-4

Ratio & Proportion Worksheet-4

Ratio & Proportion Worksheet-4

 

  1. What least number must be subtracted from each of the numbers 14, 17, 34 and 42 so that the remainders may be proportional?

(a) 0                    (b) 1                    (c) 2                    (d) 7

 

  1. In a mixture of 60 litres, the ratio of milk and water is 2 : 1. If this ratio is to be 1: 2, then the quantity of water to be further added is:

(a) 20 litres       (b) 30 litres       (c) 40 litres       (d) 60 litres

 

  1. The fourth proportional to 5, 8, 15 is:

(a) 18                  (b) 24                 (c) 19                  (d) 20

(e) 21

 

  1. The mean proportional between 234 and 104 is:

(a) 12                  (b) 39                 (c) 54                  (d) None of these

 

  1. The third proportional to 0.36 and 0.48 is:

(a) 0.64              (b) 0.1728         (c) 0.42              (d) 0.94

 

  1. The third proportional to (x2 – y2) and (x – y) is:

(a) (x + y)          (b) (x – y)          (c)             (d)

 

  1. The ratio of third proportional to 12 and 30 and the mean proportional between 9 and 25 is:

(a) 2 : 1               (b) 5 : 1               (c) 7 : 15             (d) 9 : 14

 

  1. In a ratio, which is equal to 3 : 4, if the antecedent is 12, then the consequent is:

(a) 9                    (b) 16                  (c) 20                  (d) 24

 

  1. The prices of a scooter and a T.V. are in the ratio 7 : 5. If the scooter costs Rs. 8000 more than a T.V. set, then the price of a T.V, set is:

(a) Rs. 28,000                              (b) Rs. 24,000

(c) Rs. 20,000                              (d) Rs. 32,000

 

  1. An amount of Rs. 735 was divided between A, B and C. If each of them had received Rs. 25 less, their shares would have been in the ratio of 1: 3 : 2. The money received by C was:

(a) Rs. 195         (b) Rs. 200        (c) Rs. 220        (d) Rs. 245

 

  1. An amount of Rs. 2430 is divided among A, B and C such that if their shares be reduced by Rs. 5, Rs. 10 and Rs. 15 respectively, the remainders shall be in the ratio of 3 : 4 : 5. Then, B's share was :

(a) Rs. 605        (b) Rs. 790        (c) Rs. 800        (d) Rs. 810

 

  1. The ratio between two numbers is 3 : 4 and their L.C.M. is 180. The first number is:

(a) 60                 (b) 45                  (c) 20                  (d) 15

 

  1. An alloy is to contain copper and zinc in the ratio 9 : 4. The zinc required to be melted with 24 kg of copper is:

(a)          (b)            (c)            (d) 9 kg

 

  1. 60 kg of an alloy A is mixed with 100 kg of alloy B. If alloy A has lead and tin in the ratio 3 : 2 and alloy B has tin and copper in the ratio 1 : 4, then the amount of tin in the new alloy is:

(a) 36 kg            (b) 44 kg            (c) 53 kg             (d) 80 kg

 

  1. Gold is 19 times as heavy as water and copper is 9 times as heavy as water. In what ratio should these be mixed to get an alloy 15 times as heavy as water?

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

 

Answer Key:

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