ratio and proportion mcq pdf Model Questions & Answers, Practice Test for ibps rrb so officer sclae 2 3 single exam 2024

Question :6

In a class of 49 students, the ratio of girls to boys is 4 : 3. If 4 girls leave the class, the ratio of girls to boys would be

Answer: (a)

No. of boys = $3/7$ × 49 = 21

No. of girls = $4/7$ × 49 = 28

ATQ

${28 - 4}/{21} = {24}/{21} = 8/7$

Question :7

Three partners altogether invested Rs 1,14,000 in a business. At the end of the year, one got Rs 337.50, the second got Rs 1,125.00 and the third, Rs 675 as profit. What is the percentage of profit ?

Answer: (b)

Total profit = 337.50 + 1125.00 + 675

= Rs 2137.50

Percentage profit = ${2137.50}/{114000}$ × 100 = 1.8%

Question :8

Age of X is six times that of Y. After 4 years, X is four times elder to Y. What is the present age of Y ?

Answer: (b)

Let the age of X and Y are x years and y years respectively.

Then, (x + 4) = 4(y + 4)

⇒6y + 4 = 4y + 16

⇒2y = 12

∴ y = 6

∴ The present age of y = 6 years

Question :9

Given y is inversely proportional to $√x$ , and x = 36 when y = 36. What is the value of x when y = 54?

Answer: (b)

y = $k/{√x}$

36 = $k/{√{36}} = k/6$⇒k = 36 × 6 = 216

Now $√x = {216}/{54}$ = 4 ⇒ x = 16

Question :10

The ratio between the boys and girls in a class is 6 : 5. If 8 more boys join the class and two girls leave the class then the ratio becomes 11 : 7. What is the number of boys in the class now?

Answer: (b)

Let the original number of boys and girls be 6x and 5x respectively.

Then, ${6x+8}/{5x-2}=11/7$

⇒ 55x-42x=56+22

⇒ x=$78/13=6$

∴Number of boys

= 6 × 6 + 8 = 44

ibps rrb so officer sclae 2 3 single exam 2024 IMPORTANT QUESTION AND ANSWERS

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