CMAT 2026 Previous Year Paper

In Kendriya Vidya laya, Ujja in, 20 percent of students are ath letes. In Navodaya Vidyalaya, Ujjain, 25 percent of students are ath letes. If Navodaya Vidyalaya has 60% more students than Kendriya Vidyalaya, then the number of athletes in Navodaya Vidyalaya is what percent of the athletes of Kendriya Vidyalaya?

Consider the following statements about numbers.
A. There exists a smallest natural number.
B. There exists a largest natural number.
C. Every rational number is also a real number.
D. Between two consecutive natural numbers, there is always a natural number.

Choose the correct answer from the options given below:

If height and radius of right circular cylinder are equal and its volume is $$ \frac{176}{7} cm^{3}$$

In triangles $$ABC$$ and $$ADC$$ in the above figure, $$\angle BAC = \angle ADC = 90^\circ$$. Also, $$DC$$ is $$2$$ units long and $$AC$$ is $$4$$ units long. What is the length of $$BC$$?

A person buys two watches for a total sum of Rs. 1,000. He sells one watch at a loss of 5% and the other at a gain of 20% and on the whole, he gains Rs. 50. Th e cost prices of the two watches are:

85 litres of a mixtu re conta in milk and water in t he ratio 27:7. How much more water is requ ired to be added in the mixtu re, so that th e resulting mixture contain s mil k and water in the ratio 3:1?

The value of the following sum of terms $$\frac{5}{2^2 \cdot 3^2}+\frac{7}{3^2 \cdot 4^2}+\frac{9}{4^2 \cdot 5^2}+\frac{11}{5^2 \cdot 6^2}+\frac{13}{6^2 \cdot 7^2}+\frac{15}{7^2 \cdot 8^2}$$

The sum of three consecutive odd numbers is always divisible by:
A. 2
B. 3
C. 5
D. 6
Choose the correct answer from the options given below:

Four coins are tossed simultaneously. What is the probability that two consecutive heads never occur together?

The value of expression $$\frac{\sqrt{\sqrt{5}+2}+\sqrt{\sqrt{5}-2}}{\sqrt{\sqrt{5}+1}}$$ is.