Quantitative Reasoning PYQ

How many ways can 10 persons shake hands with two persons?

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

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

How many pairs of positive integers e, f satisfy 1/e + 4/f = 1/12 where f is an odd integer less than 60?

Which one of the following is/are correct? (A) Every irrational number is a real number. (B) Every real number is an irrational number. (C) The sum or difference of a rational number and an irrational number is an irrational number. (D) The product or quotient of a non-zero rational number with an irrational number is an irrational number. Choose the correct answer from the options given below:

Consider the Arithmetic Progression: 3,8,13,18..... . What is the 18th term of the given Arithmetic Progression. Choose the correct answer from the options given below:

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

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

The number of ways a committee consisting of 3 men and 1 women can be formed from 5 men and 3 women, is _________ .

A man and his wife appeared for an interview for the two vacancies. If the probability of husband's selection is $\frac{1}{3}$ and the probability of wife's selection is $\frac{1}{5}$, then the probability that none of them will be selected?

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:

What is the remainder when the number $(44)^2$ is divided by 9?

Consider the following statements (A) The difference between the place values of 9 and 5 in the number 639457 is 4. (B) The number π is an irrational number. (C) The sum of all the prime numbers from 1 to 20 is 67. (D) The difference between the face values of 5 and 3 in number 475839 is 2. Choose the correct answer from the options given below:

There is a match between two teams. Each team has a total of 15 players. After the match, all the players of one team shake hands with all the players of the other team. What is the number of possible hand shakes?

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

Two candidates, X and Y appeared in an interview for two vacancies for the same post. The probabilities of their selection are 1/4 and 1/7, respectively. What is the probability that one of them will be selected?

Two water pipelines are represented by the equations $kx + 3y +1 = 0$ and $2x + y + 3 = 0$. For what value of k, the pipelines cross each other?

Match List-I with List-II | List-I | List-II | |---|---| | (Statements/Expressions, etc.) | (Value/Expressions, etc.) | | (A) P(E) | (I) 1 | | (B) The probability of an impossible event | (II) P(A). P(B) | | (C) For exhaustive events E₁ and E₂, P(E₁ ∪ E₂)= | (III) 1-P(Ē) | | (D) For independent events A and B, P(A ∩ B)= | (IV) 0 | Choose the correct answer from the options given below:

The graphs of ax+by = c and dx+ey = f will be: (A) parallel, if the system has no solution. (B) coincident, if the system has finite numbers of solutions. (C) intersecting, if the system has only one solution. Which of the above statements is/ are correct? Choose the correct answer from the options given below:

Find the sum of 24 terms of the list of numbers whose n$^{th}$ term is given by: $a_n = 3 + 2n$

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

Consider the following statements (A) To obtain prime numbers less than 121, we have to reject all the multiples of 2, 3, 5 and 7. (B) Every composite number less than 121 is divisible by a prime number less than 11. (C) 173 is not a prime number. (D) 7710312401 is divisible by 11. Which of the statement(s) given above is/are correct? Choose the correct answer from the options given below: