HAT Quantitative Reasoning MCQs

For two positive integers a and b, gcd(a,b) × lcm(a,b) = ab.
This identity links common factors and common multiples.

The extreme value 48 pulls the mean upward.
The median is resistant to the outlier and better represents the center.

The weighted total is 1×2 + 2×3 + 3×5 = 23.
There are 10 observations, so the mean is 2.3.

Pie-chart size is proportional to sector angle.
The largest angle, 108°, represents the largest part.

The six-month total is 6 × 80 = 480 mm.
The missing month is 480 - 370 = 110 mm.

The total is 400 people.
Males represent 240/400 × 100 = 60%.

The increase is 25 on a base of 125.
Thus, 25/125 × 100 = 20%.

The two largest shares are 35% and 25%.
Their combined share is 60%.

Selection without order uses combinations.
5C2 = 5 × 4 ÷ 2 = 10.

The total production is 210 units.
Dividing by 4 gives 52.5 units.

There are 4 choices for the first digit, then 3, then 2.
Thus, 4 × 3 × 2 = 24.

Total expenses are Rs. 100,000.
Salaries are Rs. 50,000, which is 50% of the total.