List of top Quantitative Aptitude Questions asked in Karnataka Post Graduate Common Entrance Test

A cylindrical jar whose base has a radius of 15 cm is filled with water up to a height of 20 cm. A solid iron spherical ball of radius 10 cm is dropped in the jar to submerge completely in water. Find the increase in the level of water.

The area of a rectangular field is 15 times the sum of its length and breadth. If the length of that field is 40 m, what is the breadth of that field?

There are 3 consecutive odd numbers and 3 consecutive even numbers. The smallest even number is 9 more than the largest odd number. If the square of the average of odd numbers is 507 less than the square of the average of even numbers, what is the smallest odd number?

The ratio between the speeds of two trains is 8:9 and the second train covers 360 km in 4 hours. The distance covered by the first train in 3 hours is:

Harsh makes a fixed deposit of \rupee 20,000 in Bank of India for a period of 3 years. If the rate of interest be 13% SI per annum charged half-yearly, what amount will he get after 42 months?

If $ 0.764y = 1.236x $, then what is the value of $ \left( \frac{y - x}{y + x} \right) $?

The sum of first 15 multiples of 8 is:

In how many ways can the letters of the word ‘STRESS’ be arranged?

Find the median of the following observations: 6, 49, 14, 46, 16, 42, 26, 32, 28

In the three intersecting circles given below, the numbers in different sections indicate the number of persons speaking different languages. How many persons speak only two languages?

A, B and C are three contestants in a 500 m race. If A can give B a start of 20 m and A can give C a start of 32 m, then how many metres start can B give to C?

If $\sqrt{18 \times 14 \times x} = 168$ then $x$ is equal to:

If the work done by 8 men and 4 boys in 1 day is 7 times the work done by 1 man and 1 boy, then compare the work done by 1 man and 1 boy in 1 day.

Wheat is now being sold at \rupee 27 per kg. During the last month, its cost was \rupee 24 per kg. Find by how much percent a family reduces its consumption so as to keep the expenditure fixed.

12 men and 16 boys can finish a work in 5 days, while 13 men and 24 boys can finish the same work in 4 days. What is the ratio of daily work done by a man to that of a boy?

The mean, median, mode and range of the observations $7, 6, 7, 9, 14, 9, 7, 15$ is:

Six faces of a block have been painted green, yellow, red, black, pink and white. Two positions of this block are given below. If the pink colour is at the top, then which colour will be at the bottom?

If a cube is formed from the following figure, then which face will be opposite to the face having 3 dots?

How many faces are there in the given three-dimensional model?

How many even numbers are there in the series which are preceded as well as followed by an even number?

If 100 cats kill 100 rats in 100 days, then 4 cats would kill 4 rats in how many days?

A cube has each side of 8 cm. In to how many smaller cubes of sides 2 cm each can it be divided?