Quantitative Reasoning PYQ — Page 8

If $5^x = 6^y = 30^7$, then what is the value of $\frac{1}{x}+\frac{1}{y}$ ?

An equation of the type $y = kx$ (k $\neq$ 0) represents a line :

The ascending order of the numbers 0.8, 0.88, 0.808, 0.08 is

A dice is thrown twice. Find the probability of getting an odd number in the second throw and a multiple of 3 in the first throw.

The 10th term of the A.P. 1, 5, 9, 13, ..., is :

Find the value of $\sqrt{6 + \sqrt{6 + \sqrt{6 + \sqrt{6 + \ldots}}}}$.

Which of the following is correct for divisibility? (1) A number is divisible by 6 if it is divisible by 3 or 2. (2) A number is divisible by 5 if its unit digit is 0 or 5. (3) A number is divisible by 3 if its unit digit is divisible by 3. (4) A number is divisible by 4 if the number formed by its last two digits is divisible by 4. Choose the correct answer from the options given below:

If $243^{3x} = 27^{(4x-1)}$, then the value of $4^x$ is:

Tickets numbered from 1 to 20 are mixed and a ticket is drawn at random. What is the probability that the ticket drawn bears a number which is a multiple of 3?

Find the A.P. whose 3rd term is 18 and 12th term is 72.

Simplify : $2 \times [4 - \{2 - (2-3) - (2+3)\} - 1] - 5 \times [-3 - (3-2)]$

A and B are mutually exclusive events. The probability of occurrence of A is $\frac{3}{5}$ and the probability of occurrence of B as $\frac{1}{3}$. What is the probability of both A and B occurring at the same time?

Find the 50th term of the A.P. 5, 11, 17, 23, ......

In a 2-digit number, the ten's digit is two times its unit's digit and the number is 12 less than two times the number obtained by interchanging its digits. Find the original number.

Find the length of the longest rod which can be used to measure exactly the lengths 5 m 13 cm, 11 m 34 cm and 12 m 15 cm.

Three coins are tossed once. Probability of getting no head is :

If 7-digit number 485A64B is divisible by 8 and 9, then find the greatest value of A + B.

The difference between two numbers is 4 and there average is 6. The product of these numbers is:

Which fraction among $\frac{2}{3}$, $\frac{4}{5}$, $\frac{7}{11}$, $\frac{1}{3}$ is largest?

The sum of the numerator and the denominator of a fraction is 11. If 1 is added to the numerator and 2 is subtracted from the denominator, it becomes $\frac{2}{3}$. The fraction is:

The smallest five digit number which is exactly divisible by 12, 15 and 18 is:

What is the value of $\left(1-\frac{1}{n}\right)+\left(1-\frac{2}{n}\right)+\left(1-\frac{3}{n}\right)+\cdots$ upto n terms?

A game consists of tossing a coin 3 times. Hanif wins if all the tosses give the same result. What is the probability that he loses the game?

Which should replace the question mark $(4.25 + 2.75)^2 + ? = 5^3 - (9 \times 8)$