NAT Quantitative Reasoning MCQs

The solution contains 4 liters of salt, which remains unchanged.
For salt to be 25%, total volume must be 16 liters, so 6 liters are added.

For direct variation, x/y is constant.
The constant is 18/6 = 3, so x = 3 × 10 = 30.

The greatest common divisor of 24 and 36 is 12.
Dividing both terms by 12 gives 2:3.

Three ratio parts correspond to 24, so one part is 8.
Girls represent five parts, giving 5 × 8 = 40.

The total number of ratio parts is 9, so one part is 720/9 = 80.
The largest share is 4 × 80 = Rs. 320.

Make the common term b equal in both ratios.
Multiplying 4:7 by 2 gives 8:14, so a:b:c = 8:14:15.

The cost per pen is 150 ÷ 5 = Rs. 30.
Eight pens cost 8 × 30 = Rs. 240.

Workers and time are inversely proportional for fixed work.
Thus, 12 × 15 = 20 × days, giving 9 days.

After a 20% increase, the quantity becomes 120% of the original.
The required reduction is 20/120 × 100 = 16⅔%.

Convert each value to decimals: 5/8 = 0.625, 0.60 = 0.60, 59% = 0.59, and 3/5 = 0.60.
Therefore, 5/8 is the greatest.

Multiply 2 × 3 = 6 and count three decimal places in total.
The product is 0.006.

Multiply both numbers by 10 to remove decimals.
Then 48 ÷ 6 = 8.