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Q.1. Fill in the box :
Ans. 2, 9
Q.2. Find the ratio of the following :
(i) 21 hours to 49 hours __________
(ii) 75 cm to 3 m __________
(iii) A dozen to a score __________
(iv) 1 hour to 20 minutes __________
(v) A dozen to a gross __________
Ans.
(i) 21 : 49 = 3 : 7
(ii) 75 : 300 = 1 : 4
(iii) 12 : 20 = 3 : 5
(iv) 60 : 20 = 3 : 1
(v) 12 : 144 = 1 : 12
Q.3. Write True or False :
(i) 2 : 8 :: 4 : 16 ( )
(ii) 500 : 200 :: 150 : 60 ( )
(iii) 50 : 45 :: 30 : 20 ( )
Ans.
(i) True
(ii) True
(iii) False
Q.4. Fill in the blanks so that the numbers are in proportion :
(i) 20, 18, 40, ..............
(ii) ............., 35, 3, 15
(iii) 25, 100, ..........., 160
(iv) 32, ..........., 6, 12
Ans.
(i) 36
(ii) 7
(iii) 40
(iv) 64
Q.5. Find x, if the numbers are in proportion :
(i) 3, 9, 9, x __________
(ii) 25, x, 1 , 4 __________
Ans.
(i) 27
(ii) 100
Q.6. Divide 60 in the ratio 1:2 between Bulbul and Kanika :
(i) Bulbul's share = __________
(ii) Kanika's share = __________
Ans.
(i) 20
(ii) 40
Q.7. Give two equivalent ratios of 6 : 4
Ans. 3 : 2, 12 : 8 (or any other two equivalent ratios)
Q.8. Weight of 80 books in 160 kg. What is the weight of 25 books?
Ans. 50 kg
Q.9. Divide 1200 among A, B and C in the ratios 4 : 5 : 6.
(i) A's share = __________
(ii) B's share = __________
(iii) C's share = __________
In a class of 40 students, 15 like cricket, 20 like football and 5 like both cricket and football. (Now answer question number 10 and 11) :
Ans.
(i) 320
(ii) 400
(iii) 480
Q.10. Find the ratio of number of students who like cricket to those who like football.
Ans. 20 : 25 = 4 : 5
Q.11. Find the ratio of number of students who like football to those who like both.
Ans. 25 : 5 = 5 : 1
Q.12. If 2, 5 and x are in proportion, find x __________ [Hind 2 : 5 :: 5: x]
Ans.
Q.13. Find the ratio of 5 days to 2 weeks.
Ans. 5 : 14
Q.14. The cost of one dozen bananas is 60. Find the cost of 8 bananas.
Ans. 40
Q.15. In a class of 48 students, there are 12 girls and rest are boys. Find the ratio of :
(i) Girls to Boys. __________
(ii) Girls to total number of students. __________
Ans.
(i) 12 : 36 = 1 : 3
(ii) 12 : 48 = 1 : 4
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