## Ratio and Proportion Questions for SSC CGL math Project 400

## Ratio and Proportion Questions for SSC CGL math : Project 400

Ratio and Proportion Questions for SSC CGL math : Project 400

**About Project 400 Questions.**

I will post 400 MCQ on Maths for SSC-CGL. These 400 questions are unique. There are variety questions. I will call these questions as “Project 400 Questions”. These questions are developed on

the basis of research. If any SSC CGL aspirant become proficient in these 400 questions I am sure he will score always 40+ score in maths in tier 1 and 180+ in tier 2. Keep in mind along with these representative questions a lot of practice is required.

**About Ratio and Proportion **

I am posting 20 varieties questions on ‘Ratio and Proportion’. This is considered as important chapter as it is related with other chapters like data interpretation, mixture and alligation. . Generally 2-3 questions can be asked in Tier 1 and 6-7 questions in Tier 2.

**Ratio and Proportion**

Q1. The incomes of A,B and C are in the ratio 3:7:4 and their expenses in the ratio 4:3:5. If A saves Rs 300 out of an income of Rs 2400, the savings of B and C are

a) Rs 4025 and Rs 575

b) Rs 1575 and Rs 2625

c) Rs 2750 and Rs 1525

d) Rs 3725 and Rs 1525

Q2. A and B have money in the ratio 2: 1. If A gives Rs 2 to B, the money will be in the ratio 1:1. What were the initial amounts they had?

a) Rs 12 and Rs 6

b) Rs 16 and Rs 8

c) Rs 8 and Rs 4

d) Rs 6 and Rs 3

Q3. By mistake , instead of dividing Rs 117 among A,B and C in the ratio of ½ , 1/3, 1/4. It was divided in the ratio of 2: 3: 4. Who gains the most and by how much?

a) A, Rs 28 b) B, Rs 3 c) C, Rs 20 d) C, Rs 25

Q4. If a: b= 7:9 and b:c= 15:7, then what is a:c?

a) 5:3 b) 3:5 c) 7:21 d) 7:15

Q5. Between two consecutive years my incomes are in the ratio of 2:3 and expenses in the 5:9. If my income in the second year is Rs 45000 and my expenses in the first year is Rs 25000 my total savings for the two years is:

a) nil b) Rs 15000 c) Rs 10000 d) Rs 5000

Q6. Rs 180 contained in a box consists of one rupee, 50 paise and 25 paise coins in the ratio 2:3:4. What is the number of 50 paise coins?

a) 60 b) 120 c) 150 d) 180

Q7. The numerator and denominator of a fraction are in the ratio of 2:3. If 6 is subtracted from the numerator, the result is a fraction that has a value 2/3 of the original fraction. The numerator of the original fraction is:

a) 6 b) 18 c) 27 d) 36

Q8. If p:q = r: s = t:u = 2:3, then (mp+nr+ot): (mq+ns+ou) is equal to:

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

Q9. The fourth proportional to 0.12, 0.21, 8 is:

a) 8.9 b) 56 c) 14 d) 17

Q10. A and B have monthly incomes in the ratio 5:6 and monthly expenditures in the ratio 3:4. If they save Rs 1800 and Rs 1600 respectively, find the monthly income B:

a) Rs 3400 b) Rs 2700 c) Rs 1720 d) Rs 7200

Q11. Zinc and copper are in the ratio of 5:3 in 200 gm of an alloy. How much grams of copper be added to make the ratio as 3:5?

a) 400/3 b) 1/200 c) 72 d) 66

Q12. The students in three classes are in the ratio 2:3:5. If 40 students are increased in each class, the ratio changes to 4:5 :7. Originally, the total number of students was:

a) 100 b) 180 c) 200 d) 400

Q13. In 30 litres mixture of acid, the ratio of acid and water is 2 :3. What amount of water should be added to the mixture so that the ratio of acid and water becomes 2:5?

a) 10 litres b) 15 litres c) 19 litres d) 12 litres

Q14. The product of two positive integers is 1575 and their ratio is 9:7. The smaller integer is

a) 25 b) 35 c) 45 d) 70

Q15.In an alloy, the ratio of copper and zinc is 5:2. If 1.250 kg of zinc is mixed in 17kg500 g of alloy, then the ratio of copper and zinc will be

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

Q16. The ratio of number of boys to that 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) 20 b) 30 c) 40 d) 50

Q17. If b is the mean proportional of a and c , then ( a-b)^{3} -: (b-c)^{3} equals

a) a^{3} : c^{3 } b) b^{2} : c^{2 } c) a^{2} : c^{2 }d) a^{3} : b^{3}

Q18. Same quantity of rice is required for each member of a family of 15 members. On a particular day, due to the absence of some members of the family, the consumption of rice was reduced in the ratio 5:3. The number of members absent on that day was

a) 3 b) 6 c) 8 d) 9

Q19. The ratio of the first and second class train fares between two stations is 3:1 and that of the numbers of passengers travelling between the two stations by first and second classes is 1:50. If on a particular day, Rs 1,325 are collected from passengers travelling between the two stations, then the amount collected from the second class passengers is

a) Rs 1,250 b) Rs 1,000 c) Rs 850 d) Rs 750

Q20. When a particular number is subtracted from each of 7,9,11 and 15, the resulting numbers are in proportion. The number to be subtracted is:

a) 1 b) 2 c) 3 d) 5

Q21. A sum of Rs 86,700 is to be divided among A,B and C in such a manner that for every rupee that A gets, B gets 90 paise and for every rupee that gets, C gets 100 paise. B’s share will be

a) Rs 26,010 b) Rs 27,000

c) Rs 28,000 d) Rs 28,090

**Ratio and Proportion Questions for SSC CGL math : Project 400 answer key **

1 a, 2 c , 3 d , 4 a , 5 d, 6 b , 7 b , 8 c , 9 c, 10 d , 11 a , 12 c , 13 d , 14 b , 15 a , 16 c , 17 d , 18 d , 19 a , 20 c , 21 b

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