CUET PG 2023 Question Paper COQP12 Shift-2

Let the number of 1-rupee coins, 50-paise coins, and 25-paise coins in the bag be 5x, 6x, and 8x respectively, where x is a common factor.

The total value of the coins is ₹250.

The value of 1-rupee coins = 5x × 1 = 5x rupees.

The value of 50-paise coins = 6x × 0.50 = 3x rupees.

The value of 25-paise coins = 8x × 0.25 = 2x rupees.

The total value is the sum of all these values:

5x + 3x + 2x = 250

10x = 250

x = 25

Number of 50-paise coins = 6 × 25 = 150

Assume the money with P, Q, R and S to be $$3x$$, $$4x$$, $$9x$$ and $$10x$$ respectively.

So, the difference between R and Q is $$9x-4x=5x=2580$$

or, $$x=516$$.

So, the total amount with Q and S together is $$4x+10x=14x=7224$$

Hence, the answer is 7224.

Given that the total number of marbles is 15 and we have to select 4 of them

Probability of Selecting atleast one red marble = 1 - Probability of selecting no red marble

P(No red marble) = $$\dfrac{^{11}C_4}{^{15}C_4}=\dfrac{330}{1365}$$

So, P(Atleast one red marble) = $$1-\dfrac{330}{1365}=\dfrac{1035}{1365}=\dfrac{69}{91}$$

Hence, the answer is $$\dfrac{69}{91}$$

He sold X quantity at 8% profit and (500-X) at 18% profit. 

Total money received after sale will be, 
(1.08)(X)+1.18(500-X)=1.14(500)

1.08X+590-1.18X=570
20=0.1X

X will be 200kg. 

Hence, the quantity sold at 18% profit will be 300kg. 

The number of ways to select a committee of 5 members consisting 3 men and 2 women are,

Selecting 3 men out of the 7 men in $$^7C_3\ =\ 35$$ ways

Selecting 2 women out of the 5 women in $$^5C_2\ =\ 10$$ ways

Total number of ways = 35 * 10 = 350 ways.

Hence, the correct answer is option D.

To find the odd group, let us check each option-

A) 2, 3, 5, 7 → All are prime numbers.

B) 17, 19, 23, 29 → All are prime numbers.

C) 53, 59, 61, 67 → All are prime numbers.

D) 37, 41, 43, 49 → 49 is not a prime number (since 49=7*7)

Since all other groups consist entirely of prime numbers, the odd group is D) 37, 41, 43, 49, because 49 is not a prime number.

63 is the only number in the group of given numbers that is not prime. 
71, 23, 17, 13, all of them are prime numbers.