CUET-UG SERIES

Mathematics

Ratio

6 previous year questions.

Volume: 6 Ques

Yield: Medium

High-Yield Trend

6

2023

Chapter Questions
6 MCQs

01

PYQ 2023

medium

mathematics ID: cuet-ug-

In a school, ratio of number of boys to that of girls was In the next year, number of boys increased by and number of girls increased by resulting in an increase of students in the school. How many students were there in the school initially?

1

2

3

4

02

PYQ 2023

medium

mathematics ID: cuet-ug-

If and of, then is :

1

12

2

25

3

30

4

45

03

PYQ 2023

medium

mathematics ID: cuet-ug-

₹4200 are divided among ‘P’, ‘Q’, ‘R’ and ‘S’ in such a way that the shares of ‘P’ and ‘Q’. ‘Q’ and ‘R’ as well ‘R’ and ‘S’ are in the ratios of 2:3, 4:5 and 6:7 respectively, the share of ‘P’ is :

1

₹ 600

2

₹ 640

3

₹ 1280

4

₹ 1480

04

PYQ 2023

medium

mathematics ID: cuet-ug-

in 24 hours clock is :

1

2

3

4

05

PYQ 2023

medium

mathematics ID: cuet-ug-

Three partners A, B and C shared the profit in a business in the ratio 6:9:10 respectively. If A,B and C invested the money for 12 months, 7 months and 5 months respectively, then the ratio of their investment is:

1

7:18:28

2

2:3:5

3

6:10:5

4

4:7:8

Official Solution

Correct Option: (1)

The problem involves determining the ratio of investments made by A, B, and C given the profit-sharing ratio and the time each invested in the business. The profit-sharing ratio is 6:9:10. This means that the total profit is divided among A, B, and C, respectively, in this ratio. Each partner invested for different periods: A for 12 months, B for 7 months, and C for 5 months. The investment ratio can be determined by considering the product of the profit ratios and the corresponding investment periods. Let the investments of A, B, and C be,, and respectively. The profit is shared according to: Thus, we have the equation: and The ratios simplify as follows: 1. Simplifying, we get: 2. Simplifying, we derive: Combining these results gives us: The combined ratio, using a common basis for simplification: Equating and, we multiply through such that all components represent a singular equation: Setting common values to clear, simplifying: Thus the simplest ratio substantiated through equal scaling of all components universally leads to: Partners Investment Ratio A 7 B 18 C 28 Hence, the correct answer is 7:18:28 .

06

PYQ 2023

medium

mathematics ID: cuet-ug-

If and then find a : b : c.

1

20 : 8 : 15

2

20 : 16 : 15

3

40 : 15 : 12

4

40 : 15 : 16