Quantitative Reasoning PYQ — Page 2

If the sum of n terms of an A.P. is $nP + \frac{1}{2}n(n - 1)Q$, where P and Q are constants, find the common difference.

A bag contains 4 red, 5 blue and 3 green balls. If two balls are drawn at random from the bag, then which of the following statements are correct? (A) The probability that both balls are red is 1/11. (B) The probability that one ball is red, and one ball is blue is 10/33 (C) The probability that both balls are blue is 5/33. (D) The probability that both balls are green is 5/11. Choose the correct answer from the options given below:

If : $a + b + c = 14$ and $a^2 + b^2 + c^2 = 96$, then $(ab + bc + ca)$ is

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

How many times digit 3 appear in the counting from 1 to 1000?

Which of the following is/are prime numbers? (A) 241 (B) 337 (C) 391 (D) 571 Choose the correct answer from the options given below:

One card is drawn from a well-shuffled deck of 52 cards. Find the probability that the card be an ace.

Five digit numbers formed by using digits 0, 1, 2, 3 and 4 (when repitition of digits are not allowed) are:

If $\log_8 x = 2/3$, then the value of X is:

If three unbiased coins are tossed simultaneously, then the probability of exactly two heads is:

The 7th and 9th terms of an arithmetic progression are 10 and 11, respectively. Find the 15th term.

If m and n are distinct natural numbers, then which of the following is/are integer(s)? (A) $m/n + n/m$ (B) $mn(m/n+n/m)(m^2 + n^2)^{-1}$ (C) $mn/(m^2 + n^2)$ Choose the correct answer from the options given below:

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

Match List-I with List-II | List-I | List-II | |---|---| | (Expressions) | (Values) | | (A) $^nP_4 = 360$, then find n | (I) 1155 | | (B) If $^{13}C_{3r} = ^{15}C_{r+3}$, then find r | (II) 56 | | (C) Find $^{15}C_{11} - ^{15}C_4$ | (III) 6 | | (D) Find $^8P_2$ | (IV) 3 | Choose the correct answer from the options given below:

The sum of digits of a two-digit number is 14 and the difference between the two digits of the number is 2. The product of the two digits of the number is:

If 2x + 3y = 26 and y - x = 2, then the value of x + y is:

$1 + \frac{1}{2} + \frac{1}{4} + \frac{1}{10} =$

A bag contains 4 red, 5 blue and 3 green balls. If two balls are drawn at random from the bag, then which of the following statements are correct? (A) The probability that both balls are red is $\frac{1}{11}$. (B) The probability that one ball is red, and one ball is blue is $\frac{10}{33}$. (C) The probability that both balls are blue is $\frac{5}{33}$. (D) The probability that both balls are green is $\frac{5}{11}$. Choose the correct answer from the options given below:

If the 5th and 9th terms of an arithmetic progression are 7 and 13, respectively, then the 15th term is:

Match List-I with List-II | List-I | List-II | |---|---| | (A) The number of different words that can be formed with CUSTOM with the condition that the word should begin with M is ______. | (I) 70 | | (B) The number of different ways in which the letters of the word EXTRA can be arranged so that the vowels are never together is ______. | (II) 45 | | (C) There are 10 points in a plane. No three of these points are in a straight line. The total number of straight line that can be formed by joining the two points is _______. | (III) 72 | | (D) The number of ways a committee of 4 people be chosen out of 8 people is _______. | (IV) 120 | Choose the correct answer from the options given below:

In a team every player shakes his hand with other player only once. If total number of handshakes is 120, then the number of players is:

The sum of all prime numbers less than 20 is:

A single card is chosen at random from a standard deck of 52 playing cards. The probability of choosing either a Queen or a Spade (but not both) is:

The middle term of the series 4 + 6 + 8 + ..................... + 196 is