Quantitative Reasoning PYQ — Page 5

In how many ways can 15 people be seated around two round tables with seating capacities of 7 and 8 people?

The nearest integer to 6650 which is exactly divisible by 429 is

If the product of n positive numbers is $n^n$, then what is the minimum value of their average for n = 6?

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:

Seven chairs and three tables together cost ₹ 7400, three chairs and five tables together cost ₹ 5400. The total cost (in ₹) of 1 chair and 2 tables 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) Find the product of any number and the 1st whole number | (IV) 1 | Choose the correct answer from the options given below:

Read the information given below carefully and answer the question that follows: Aditi, a salesgirl is appointed at a basic salary of ₹ 1200 per month. The condition of employment further stated that for every sale of ₹ 10000 or above she does, she will get 50 % of basic salary and 10 % of the sales as special incentive. However, this incentive scheme shall not work on the first ₹ 10000 of sales made. What should be the value of sales if Aditi wants to earn ₹ 7600 in a particular month?

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

The pair of linear equations $kx + 3y + 1 = 0$ and $2x + y + 3 = 0$ intersect each other, if

The sum of n terms of the series $1 + 1.5 + 2 + 2.5 + 3 + ...$ is?

If each term of a geometric progression (GP) is positive and is the sum of two preceding terms, then the common ratio of the GP is:

7^6n - 6^6n, where n is an integer greater than 0, is divisible by

How many two-digit numbers are divisible by 3?

Match List-I with List-II | List-I | List-II | |---|---| | (Expression) | (Value) | | (A) $\frac{12!}{10!(2!)}$ | (I) 110 | | (B) $^nC_2 = 210$, find n. | (II) 136 | | (C) $^6P_3 - ^5C_2$ | (III) 66 | | (D) If $^nC_9 = ^nC_8$, find $^nC_{15}$ | (IV) 21 | Choose the correct answer from the options given below:

Match List-I with List-II | List-I | List-II | |---|---| | (Expressions) | (Values) | | (A) 1/6! + 1/7! = x/8! Find x | (I) 1 | | (B) Evaluate: $\frac{n!}{(n-r)!}$, n = 6, r = 2 | (II) 100 | | (C) If ⁿC₉ = ⁿC₈, find ⁿC₁₇. | (III) 64 | | (D) ⁶P₃ - ⁵P₂ | (IV) 30 | Choose the correct answer from the options given below:

The remainder when $(15^{23} + 23^{23})$ is divided by 19, is:

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

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:

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

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

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:

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