Quantitative Reasoning PYQ — Page 4

A basket contains 4 red, 5 blue and 3 green marbles. If three marbles are picked at random, what is the probability that at least one is blue?

In an arithmetic progression, if 6 is the third term, the ninth term exceeds the seventh term by 3, then 12 is which term?

In how many ways are the letters of the word DOCUMENT arranged so that all the vowels always come together?

Which of the following pair of numbers is relatively prime to each other?

If $2^{(x+y)} = 64$ and $128^{(x-y)} = 2$, then what is the value of x?

In arithmetic progression(A.P.), the first term is 7 and the 6th term is 22. The sum of the first 10 terms of A.P. is:

How many ways can a committee of 3 people be chosen out of 7 people?

Two unbiased coins are tossed. The probability of getting at least one head is:

Match List-I with List-II | List-I | List-II | |---|---| | (A) The least number that must be subtracted from 2025 to get a number exactly divisible by 17 | (I) 5 | | (B) The least number that must be added to $1057^5$ to get a number exactly divisible by 23. | (II) 2 | | (C) Unit digit of $6^{15} - 7^4$ | (III) 0 | | (D) The product of any number and the 1st whole number is: | (IV) 1 | Choose the correct answer from the options given below:

Out of 6 men and 4 women, a committee of 5 members is to be formed so that it has 2 women and 3 men. In how many different ways can it be done:

If 2x + 3y - 8 = 0 and 3x - 2y - 12 = 0, then $4x^2 + y^2 - 4x$ is equal to:

In a simultaneous throw of a pair of dice, what is the probability of getting a total more than 8?

Which of the following list of numbers forms an arithmetic progression? (A) 1, -1,-3 -5, ....... (B) -1.2, -3.2, -5.2, -7.2, ........... (C) -2, 2, -2, 2, -2, ........ (D) 2, $\frac{5}{2}$, 3, $\frac{7}{2}$ ...... Choose the correct answer from the options given below:

Match List-I with List-II | List-I | List-II | |---|---| | (A) $^{75}P_2 - ^{75}C_2$ | (I) 504 | | (B) $^{5}P_5 - ^{10}C_3$ | (II) 6 | | (C) $^{16}C_{13} - ^{8}C_3$ | (III) 2775 | | (D) $^nP_4 = 360$, then find n | (IV) 0 | Choose the correct answer from the options given below:

The value of k, for which the system of equations 3x-ky-20 = 0, and 6x-10y+40 = 0 has no solution, is:

In how many different ways can the letters of the word 'DELETE' be arranged?

Four people are chosen at random from a group of 3 men, 2 women and 4 children. The probability that exactly 2 of them are children is:

If x and y are negative integers, then which of the following statements is/are always true? (A) x + y is positive integer. (B) xy is positive integer. (C) x-y is positive integer. Choose the correct answer from the options given below:

In a plane, there are 9 points, out of which 4 are collinear. The number of triangles made by these points is:

The probability that a card drawn from a pack of 52 cards will be a red card or an ace (including the chance of any red ace), is:

Given below are two statements: Statement (I): 2469385422 is divisible by 18. Statement (II): 3475824638 is divisible by 11. In light of the above statements, choose the most appropriate answer from the options given below.

The equations: x + 4y - 3 = 0 and 2x + 8y - 6 = 0 have

If the third and ninth terms of an A.P. are 1 and 19 respectively, then the 23rd term will be:

Arrange the fractions in decreasing order: (A) $\frac{4}{5}$ (B) $\frac{7}{8}$ (C) $\frac{3}{7}$ (D) $\frac{5}{9}$ Choose the correct answer from the options given below: