Quantitative Aptitude PYQs

What is the sum of all two-digit numbers divisible by both 4 and 6?

What is the value of (0.64 ÷ 4) ÷ (1.28 - 0.16) = ?

T and U start a business. T invests ₹40,000. After 3 months, U joins with ₹60,000. After 3 more months, T doubles his capital. If the business runs for 12 months, find the profit ratio of T to U.

The average age of a group of 24 students is 15 years. If a student aged 9 years leaves the group, what will be the new average age?

A 15% drop in the price of sugar allows a customer to purchase 2 kg more for ₹272. What is the new price of sugar per kg?

Which of the following is the effective annual rate of interest corresponding to a compound interest rate of 9% per annum compounded half-yearly?

By selling 5 chairs for ₹1200, a carpenter gains the cost price of 2 chairs. The profit percent is:

A and B together can finish a work in 18 days, B and C in 24 days, and C and A in 36 days. In how many days can B alone complete the work?

Two types of tea are mixed. The first type costs ₹18 per kg and the second type costs ₹20 per kg. In what ratio should these be mixed so that by selling the mixture at ₹21 per kg, a profit of 10% is gained?

A machine stacks boxes. In the first minute, it stacks 15 boxes, but in the next minute, 5 boxes fall down. If the machine stacks in alternate minutes, how many minutes will it take to stack a total of 95 boxes?

Given: \(\frac{p}{a} + \frac{q}{b} + \frac{r}{c} = 1\) and \(\frac{a}{p} + \frac{b}{q} + \frac{c}{r} = 0\), where p, q, r and a, b, c are non-zero, then the value of \(\frac{p^2}{a^2} + \frac{q^2}{b^2} + \frac{r^2}{c^2}\)

An urn initially contains 3 red balls and 2 blue balls. You draw two balls without replacement. If both balls are the same color, you stop. If they are different colors, you put both balls back into the urn, add one additional red ball to the urn, and then draw two more balls. What is the probability that you do not stop on the first draw, but you stop on the second draw?

An aircraft is flying at a steady altitude of 1000 meters. From a point on the ground, the angle of elevation of the airplane changes from 60° to 45° in 20 seconds as it flies directly away from the observer. What is the approximate speed of the airplane?

A botanist was interested in the average height and standard deviation of a new plant variety. The following data are the heights for a sample of n=10 plants. The average height is 11.00 cm, rounded to two places. Find the sample standard deviation, rounded to two decimal places.

A sphere having a radius R is melted and recast into a hemisphere and a cylinder. The hemisphere and cylinder have equal radii and heights. If the height of the cylinder is equal to its radius r, find the ratio R:r.

A right prism has a rectangular base with dimensions 6 cm and 10 cm. The height of the prism is 18 cm. Find the total surface area of the prism.

A rectangular garden 20 m × 14 m has four full circular flowerbeds of radius 2 m placed within it. What is the area left for grass?

Two complementary angles differ by 36°. What are the angles?

In triangle ABC, if the Euler line is vertical and passes through (3,0), (3,4), and (3,8), which point is the centroid?

Two lines are perpendicular and intersect at the point (3, 2). If one line has the equation y = 2x, what is the equation of the other line?