GAT Quantitative Reasoning MCQs

Let B's rate be 2 units and A's rate be 3 units, total 5 units.
If 5 units finish in 6 days, B alone takes 6 × 5/2 = 15 days.

The leak rate is 1/9 - 1/12 = 1/36 tank per hour.
Thus, the leak alone empties the tank in 36 hours.

Their daily rate is 1/16 + 1/24 = 5/48.
In 4 days they do 5/12, so 7/12 remains.

The pipe fills 1/6 of the tank per hour.
In 2 hours it fills 2/6 = 1/3.

Their combined rate is 1/8 + 1/12 = 5/24 tank per hour.
Time is 24/5 = 4.8 hours.

The net rate is 1/10 - 1/15 = 1/30 tank per hour.
Therefore, the tank fills in 30 hours.

The net hourly rate is 1/4 - 1/12.
This equals 2/12 = 1/6.

Each year, 90% of the previous value remains.
Thus, 50,000 × 0.9² = Rs. 40,500.

Compound growth gives 20,000 × 1.05².
The result is 22,050.

One-year compound amount is principal plus 12% interest.
Thus, 20,000 × 1.12 = Rs. 22,400.

Profit is shared in the ratio of investments, 3:5.
B receives 5/8 of Rs. 16,000 = Rs. 10,000.

Capital-time products are 40,000 × 12 and 60,000 × 8.
Both equal 480,000, so the ratio is 1:1.