Dear maths lovers, Let your practice begins in minuteness but ends in magnificence.It is impossible to study maths properly by just reading and listening. So, practise, practise & more practise. For that, we are providing here Quant Quiz of 15 questions on Ratio, Proportion and Variation, in accordance with the syllabus of SSC CGL.We have also provided Study Notes and quizzes on all the topics.

Q1. The speed of three buses is in the ratio 2: 3: 4. The ratio between the time taken

by these buses to travel the same distance is

(a) 2: 3: 4

(b) 4: 3: 2

(c) 4: 3: 6

(d) 6: 4: 3

Q2. The difference between the two positive numbers is 10 and the ratio between them is

5 : 3. Find the product of the two numbers.

(a) 375

(b) 325

(c) 275

(d) 125

Q3. If 30 oxen can plough 1/7th of a field in 4 hours, in how many hours will 18 oxen

take to do the remaining work?

(a) 30 hours

(b) 20 hours

(c) 15 hours

(d) 40 hours

Q4. When we increase both the numerator and the denominator by 7, a fraction changes

to 3/4. Find the original fraction.

(a) 5/12

(b) 7/9

(c) 2/5

(d) 3/8

Q5. According to the Boyle’s law, at a constant temperature, pressure of a definite mass

of gas is inversely proportional to the volume. If the pressure is reduced by 20%, find the

respective change in volume.

(a) –33.33%

(b) +25%

(c) –25%

(d) +33.33%

Q6. What number must be subtracted from both the numerator and the denominator

27: 35, so that it becomes equal to 2: 3?

(a) 8

(b) 12

(c) 6

(d) None of these

Q7. P is directly proportional to Q, and Q = 7 when P = 15, find P when Q = 14.

(a) 36

(b) 54

(c) 30

(d) 60

Q8. If p/q = 3/4 , then find the value of the expression (5p – 3q)/(7p + 2q).

(a) 3/29

(b) 5/27

(c) 7/31

(d) 5/58

Q9. In a mixture of milk and water of volume 30 litres, the ratio of milk and water is

7:3.Find the quantity of water to be added to the mixture to make the ratio of milk

and water 1: 2.

7:3.Find the quantity of water to be added to the mixture to make the ratio of milk

and water 1: 2.

(a) 30

(b) 32

(c) 33

(d) 35

Q10. A and B invested Rs. 12,000 and Rs. 18,000 respectively in a business for the whole

year. At the year-end, there was a total profit of Rs. 2,000. What is the share of A in the

profit?

(a) Rs. 800

(b) Rs. 1,200

(c) Rs. 1,600

(d) None of these

Q11. A and B invest Rs. 12,000 and Rs. 16,000 respectively in a business. At the year-end,

they share the profit in the ratio of 3: 1. If A has invested his capital for the whole year,

for how many months B has invested his capital?

(a) 4 months

(b) 3 months

(c) 6 months

(d) 8 months

Q12. A, B, C, and D purchase a gift worth Rs. 60. A pays ½ of what others are paying, B

pay 1/3rd of what others are paying and C pays 1/4th of what others are paying. What is

the amount paid by D?

(a) Rs. 60

(b) Rs. 20

(c) Rs. 15

(d) Rs.13

Q13. 10 persons can cut 8 trees in 12 days. How many days will 8 persons take to cut 6

trees?

(a) 9.3 days

(b) 15 days

(c) 18 days

(d) 11.25 days

Q14. Pranesh can do a work in 15 days. In how many days will the work be completed by

his brother Saket if the efficiency of Saket is 60% more than that of Pranesh?

(a) 8 days

(b) 1.3 days

(c) 10 days

(d) None of these

Q15. The height of a tree varies as the square root of its age (between 5 and 17 years.)

When the age of a tree is 9 years, its height is 4 feet. What will be the height of the tree

at the age of 16?

(a) 9 feet 3 inches

(b) 6 feet 5 inches

(c) 8 feet 2 inches

(d) 5 feet 4 inches

**Solutions**

S2. Ans.(a)

Sol. Let the number be 5x and 3x.

Then, 5x – 3x = 10

x = 5

Required product = 5x × 3x = 5 × 5 × 3 × 5 = 375.

S4. Ans.(c)

Sol. Go through options, (c) is the answer.

S10. Ans.(a)

Sol. Ratio of their investment = 12000 : 18000 = 2 : 3

A’s share in profit = (2/5) × 2000 = Rs. 800

S12. Ans.(d)

Sol.

Let us assume that B, C and D are paying Rs. 2x. So A is paying Rs. x. The total amount being paid by A, B, C and D = 3x = Rs. 60, hence, the amount paid by A = x/3x = 1/3rd of the total.)

So, the amount paid by A = 60/3 = Rs. 20

Similarly, B is paying 1/4th of the total and C is paying 1/5th of the total.

Hence, the amount paid by B and C are Rs. 15 and Rs. 12 respectively.

So, the amount paid by D = Rs. 13

S14. Ans.(d)

Sol. Since the ratio of efficiency of Pranesh and Saket = 100: 160

= 5 : 8

The number of days taken by Pranesh and Saket will be in the ratio of 8: 5

Since, Pranesh takes 15 days to do this work, Saket will take 15 × 5/8 = 9.37 days.

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