Quantitative Reasoning PYQ — Page 3

If function (x + 296 × 298) is a perfect square, then the value of x is:

In an examination, a student scores 3 marks for every correct answer and looses 1 marks for every wrong answer. A student attempted all the 120 questions and scored 320 marks. Find the number of questions, he answered incorrectly.

In an A.P, if $m^{th}$ term is n and the $n^{th}$ term is m, where $m \neq n$, find the $p^{th}$ term.

Two persons A and B appear in an interview for two vacancies. If the probabilities of their selections are 1/4 and 1/6 respectively, then the probability that none of them is selected shall be:

If $6x - 10y = 10$ and $\frac{x}{x+y} = \frac{5}{7}$, then (x-y) is equal to:

Which one of the following statement(s) is/are correct? (A) Every whole number is a natural number. (B) Every natural number is a whole number. (C) Every integer is a whole number. (D) Every rational number is a whole number Choose the correct answer from the options given below:

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:

How many perfect squares lie between 120 and 300?

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:

Two friends, P and Q, appeared in an interview for two vacancies for the same post. The probability of P's selection is $\frac{1}{3}$ and that of Q's selection is $\frac{2}{7}$. What is the probability that at least one of them will be selected?

The sum of first 10 prime numbers is:

Match List-I with List-II | List-I | List-II | |---|---| | (A) Unit's digit of $(257)^{153} \times (346)^{72}$ | (I) 3 | | (B) Unit's place of the product $61 \times 62 \times 63 \times 64 \times ... \times 69$ is | (II) 4 | | (C) 121012 is divided by 12, the remainder is | (III) 0 | | (D) Unit's digit of $(257)^{153} + (346)^{72}$ | (IV) 2 | Choose the correct answer from the options given below:

Two numbers are in ratio 2:7 and their L.C.M. is 182. The greater number is

How many terms of the AP: 24, 21, 18, ............ must be taken so that their sum is 78?

Reena is twice as old as Sunita. Three years ago, Reena was three times as old as Sunita. What is present age of Reena?

Read the information given below carefully and answer the question that follows: (A) The different ways in which the alphabets of the word BAKERY can be arranged is 720 (B) The number of ways in which the alphabets of the word MACHINE can be arranged so that the vowels will occupy only the odd positions is 576 Choose the correct answer from the options given below:

How many times does the digit 3 appear in the counts from 1 to 100?

The unit place digit of the number $(37)^2$ is:

The present age of a father is 4 years more than double the age of his son. After 10 years, the father's age is 30 years more than his son. Then the present age of father is:

The first and the last terms of an arithmetic progression are 25 and 180, respectively. If the sum of all the terms is 1025, how many terms are there?

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:

How many two-digit numbers are divisible by 3?

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

In an examination which had 200 questions, students score 4 marks for every correct answer and lose 1 mark for every wrong answer. A student attempted all the 200 questions and scored 200 marks. The number of questions, student answered correctly in the examination, is: