Quantitative Reasoning PYQ — Page 8

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

A bag contains 5 black, 3 white and 2 red balls. Three balls are drawn in succession. What is the probability that the first ball is red, the second ball is black and the third ball is white?

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:

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

Linear equations $3x + 5y = 19$ and $10x - 3y = 24$ have solution $x = \frac{\alpha}{3}$ and $y = \frac{\beta}{2}$, then the value of $\alpha + \beta$ is:

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

The unit digit in the product $(784 \times 618 \times 917 \times 463)$ is :

How many terms are there in the A.P. 3, 7, 11, ............ 407 ?

How many 3-digit even numbers can be formed by using the digits 1 to 9 if no digit is repeated ?

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

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

If arithmetic mean and geometric mean of roots of a quadratic equation are 8 and 5 respectively, then the quadratic equation is:

The sum of an Infinite geometric series is 4 and the sum of the cubes of the terms of the same GP is 192. The common ratio of the original geometric series is:

'A' spins a spinner that is split into 10 equal sections marked as 1, 3, 2, 1, 2, 2, 3, 1, 2, 1. What is the probability that the spinner will land on number 2 ?

Given below are two statements: Statement (I): All natural numbers are rational numbers. Statement (II): 1 is the smallest prime number. In the light of the above statements, choose the most appropriate answer from the options given below:

The minimum number of colours to required paint all sides of a cube that no two adjacent faces may have the same colour is.

The ratio of two numbers is 2:3 and their HCF is 4. Their LCM is :

The product of two positive numbers is 189 and their quotient is $\frac{3}{7}$. Find the sum of these numbers.

What is the probability that a leap year selected at random, will have either 53 Sundays or 53 Saturdays ?

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.

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

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

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.