This is the aptitude questions and answers section on "Ratio and Proportion" with explanation for various interview, competitive examination and ... examination and various entrance test (CAT, GATE, GRE, MAT, Bank Exam, Railway Exam etc.)
1. Two numbers are respectively 20% and 50% more than a third number. The ratio of the two numbers is:
(1) 1 : 2
(2) 3 : 4
(3) 4 : 5
(4) 6 : 7
2. The sum of three numbers is 98. If the ratio of the first to second is 2 :3 and that of the second to the third is 5 : 8, then the second number is:
(1) 30
(2) 40
(3) 50
(4) 78
10. The sum of three numbers is 98. If the ratio of the first to second is 2:3 and that of the second to the third is 5:8, then the second number is:
(1) 10
(2) 20
(3) 30
(4) 40

1. Two numbers are respectively 20% and 50% more than a third number. The ratio of the two numbers is:
(1) 1 : 2
(2) 3 : 4
(3) 4 : 5
(4) 6 : 7
2. The sum of three numbers is 98. If the ratio of the first to second is 2 :3 and that of the second to the third is 5 : 8, then the second number is:
(1) 30
(2) 40
(3) 50
(4) 78
3. Find the fourth proportion to 2,3,6
(1) 3
(2) 6
(3) 9
(4) 12
(1) 3
(2) 6
(3) 9
(4) 12
4. The smallest ratio out of 1:1, 2:1, 1:3 and 3:1 is?
(1) 1:1
(2) 2:1
(3) 1:3
(4) 3:1
(1) 1:1
(2) 2:1
(3) 1:3
(4) 3:1
5. A 70 cm long wire is to be cut into two pieces so that one piece will be 2/5th of the other, how many centimeters will the shorter piece be?
(1) 5
(2) 10
(3) 20
(4) 40
(1) 5
(2) 10
(3) 20
(4) 40
6. Salaries of Ravi and Sumit are in the ratio 2:3. If the salary of each is increased by Rs. 4000, the new ratio becomes 40:57. What is Sumit's salary?
(1) 35000
(2) 36000
(3) 37000
(4) 38000
(1) 35000
(2) 36000
(3) 37000
(4) 38000
7. The Students in three classes are in the ratio 2 : 3 : 5. If 20 students are increased in each class, the ratio of changes to 4 : 5 : 7. The total number of students before the increase was
(1) 10
(2) 100
(3) 500
(4) 1000
(1) 10
(2) 100
(3) 500
(4) 1000
8. In a mixture 60 litres, the ratio of milk and water 2:1. If the this ratio is to be 1:2, then the quantity of water to be further added is:
(1) 20 litres
(2) 40 litres
(3) 60 litres
(4) 80 litres
(1) 20 litres
(2) 40 litres
(3) 60 litres
(4) 80 litres
9. The ratio of the number of boys and girls in a college is 7:8. If the percentage increase in the number of boys and girls be 20% and 10% respectively, what will be the new ratio?
(1) 21:22
(2) 22:23
(3) 23:24
(4) 24:25
(1) 21:22
(2) 22:23
(3) 23:24
(4) 24:25
10. The sum of three numbers is 98. If the ratio of the first to second is 2:3 and that of the second to the third is 5:8, then the second number is:
(1) 10
(2) 20
(3) 30
(4) 40
Ans:-
1-3, 2-1, 3-3, 4-3, 5-3,
6-4, 7-2, 8-3, 9-1, 10-3
6-4, 7-2, 8-3, 9-1, 10-3
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