MAH CET 9th Mar 2024 Slot 1

Average weight of class of 24 students = 35 kg

Total weight of students = 24 $$\times$$ 35 = 840 kg

When the weight of the teacher is added, the average becomes = 35.4

$$\therefore$$ Total weight of class = 25 $$\times$$ 35.4 = 885 kg

$$\therefore$$ Weight of teacher = 885 - 840 = 45 kg

Hence, option C is the correct choice

Let the number be N

Now N exceeds 16% of itself by 42

$$\therefore$$ N = (16% of N) + 42

$$\Rightarrow$$ N = 0.16N + 42

$$\Rightarrow$$ 0.84N = 42

$$\Rightarrow$$ N = 50

Hence, option C is the correct choice

20 dozen notebooks at Rs 48 per dozen

Total cost = 20 $$\times$$ 48 = 960

He sold 8 dozen at 10% profit

$$\therefore$$ Profit from 8 dozen = 8 $$\times$$ 48 $$\times$$ 0.1 = 38.4

He sold 12 dozen at 20% profit 

$$\therefore$$ Profit from 12 dozen = 12 $$\times$$ 48 $$\times$$ 0.2 = 115.2

Total Profit = 38.4 + 115. 2= 153.6

Profit percentage = 153.6/960  $$\times$$ 100 = 16%

Hence, option B is the correct choice.

Ten percent of twenty = $$\dfrac{10}{100} \times 20 = \dfrac{200}{100}$$

Twenty percent of ten = $$\dfrac{20}{100} \times 10 = \dfrac{200}{100}$$

$$\therefore$$ sum = $$ \dfrac{200}{100} +  \dfrac{200}{100}$$ = $$\dfrac{2}{100} \times 200$$ 

This is equal to $$2\%$$ of $$200$$

Hence, option D is the correct choice.

By selling 45 lemons for Rs. 40, a man loses 20%

Thus, the cost price of lemons = 40/0.8 = Rs 50

Cost price of 1 lemon = 50/45 = Rs 10/9

Now he sells some lemons for Rs 24 and gains 20%

Thus, the cost price of lemons sold = 24/1.2 = Rs 20

Number of lemons that can be bought in Rs 20 = 20 / (10/9) = 18

Thus, option A is the correct choice.

In a deck of cards, there is only onequeen of clubs and only one king of hearts.

Thus total favourable outcomes = 1 + 1 = 2

Total possible outcomes = 52

Probability = 2/52 = 1/26

Hence, option B is the correct choice.

Out of 132 examinees of a certain school, the ratio of successful to unsuccessful candidates is 9:2

Let successful candidates = 9x

Let unsuccessful candidates = 2x

$$\therefore$$ 9x + 2x = 132

$$\therefore$$ 11x = 132 $$\Rightarrow$$ x = 12

$$\Rightarrow$$ Successful candiates = 108

$$\Rightarrow$$ Unsuccessful candidates = 24

Now, 4 more candidates pass

$$\therefore$$ Successful candidtes = 112

$$\therefore$$ Unsuccessful candidates = 20

$$\Rightarrow$$ Ratio = 112 : 20 = 28 : 

Hence option B is the correct choice

The tailor makes 8 pieces out of 1 meter of cloth.

He has a total of 37.5 meters of cloth.

Hence, total pieces = 8 $$\times$$ 37.5 = 300

Thus, option A is the correct choice.

$$112 \times 5^4 = (100 + 10 + 2) \times 625$$ 

$$\Rightarrow$$ $$62500 + 6250 + 1250 = 70000$$

Alternative Explanation:

$$112 \times 5^4 = 16 \times 7 \times 5^4$$

$$\Rightarrow$$ $$2^4 \times 5^4 \times 7$$

$$\Rightarrow$$ $$ 10^4 \times 7 = 70000$$

Hence, option A is the correct choice

(1 x 2) + 1 = 3

(3 x 3) + 1 = 10

(10 x 2) + 1 = 21

(21 x 3) + 1 = 64

(64 x 2) + 1 = 129

(129 x 3) + 1 = 388

(388 x 2) + 1 = 777

Thus, the odd one out is 356

Hence, option E is the correct choice.