type 7 finding sum difference product based ratio & proportion problems Practice Questions Answers Test with Solutions & More Shortcuts

Question : 1 [SSC CGL Tier-I 2016]

The ratio of two positive numbers is 3 : 4. The sum of their squares is 400. What is the sum of the numbers ?

a) 24

b) 26

c) 22

d) 28

Question : 2 [SSC CHSL 2012]

The students in three classes are in the ratio 2 : 3 : 5. If 20 students are increased in each class, the ratio changes to 4 : 5 : 7. Originally the total number of students was :

a) 100

b) 150

c) 90

d) 50

Question : 3 [SSC CPO S.I.2006]

The ratio of the number of boys and that of girls in a school having 504 students is 13 :11. What will be the new ratio if 3 more girls are admitted?

a) 10 :11

b) 13 :14

c) 6 : 7

d) 7 : 6

Question : 4 [SSC CGL Tier-II 2013]

Ram got twice as many marks in English as in Science. His total marks in English, Science and Maths are 180. If the ratio of his marks in English and Maths is 2 : 3, what is his marks in Science ?

a) 72

b) 90

c) 60

d) 30

Question : 5 [SSC CPO S.I.2004]

The ratio of number of boys to that of girls in a group becomes 2:1 when 15 girls leave. But, afterwards, when 45 boys also leave, the ratio becomes 1 : 5. Originally the number of girls in the group was

a) 40

b) 50

c) 30

d) 20