NAT MCQs

Initially, milk is 42 liters and water is 18 liters.
For a 7:5 ratio with 42 liters milk, water must be 30 liters, so add 12.

The original total is 8 × 15 = 120.
After removing 22, the total is 98, and 98 ÷ 7 = 14.

Let the numbers be 5k and 8k; then (5k + 9)/(8k + 9) = 2/3.
Solving gives k = 9, so the smaller number is 45.

The original total age is 4 × 25 = 100 years.
The new total is 5 × 27 = 135, so the new age is 35.

Profit equals selling price minus cost price.
Thus, 920 - 800 = Rs. 120.

The weighted sum is 70 × 2 + 90 × 3 = 410.
Dividing by the total weight 5 gives 82.

A 10% loss on Rs. 1,200 is Rs. 120.
Subtracting gives a selling price of Rs. 1,080.

The total score is 20 × 60 + 30 × 70 = 3,300.
Dividing by 50 students gives 66.

The selling price is 125% of the cost price.
Thus, cost price = 1,500 ÷ 1.25 = Rs. 1,200.

The total ratio parts are 7, so one part is 35/7 = 5 liters.
Water is two parts, or 10 liters.

The discount is 15% of Rs. 2,000, which is Rs. 300.
The sale price is Rs. 2,000 - Rs. 300 = Rs. 1,700.

One hundred fifty percent equals 1.5.
Multiplying 80 by 1.5 gives 120.