Quantitative Reasoning PYQ — Page 4

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

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

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:

How many numbers between -13 and 13 are multiples of 3 or 5?

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:

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:

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

Six bells ring at intervals of 2, 4, 6, 8, 10 and 12 seconds respectively. Once, when they start ringing simultaneously for the first time, then determine how many times they will ring together in a continuous span of 30 minutes?

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

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

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?

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.

Which one of the following pairs of linear equations has/ have infinite many solutions? (A) $9x + 3y + 12 = 0$, and $18x + 6y + 24 = 0$ (B) $2x - 3y = 13$, and $7x - 2y = 20$ (C) $x + y = 5$, $2x + 2y = 10$ (D) $3x + y - 3 = 0$ and $2x + \frac{2}{3}y = 2$ Choose the correct answer from the options given below:

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:

Match List-I with List-II [a, b as given in the Euclidean algorithm, quotient (q), Remainder (r)] Remainder (r) $a = bq + r$ | List-I | List-II | |---|---| | (A) a = 112, b = 7 | (I) r = 1 | | (B) a = 118, b = 9 | (II) r = 3 | | (C) a = 119, b = 6 | (III) r = 5 | | (D) a = 115, b = 8 | (IV) r = 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:

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

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 perfect squares lie between 120 and 300?

Determine the unit's digit in the product of consecutive numbers from 86 to 94?

Suppose we throw a dice once. Then, which one of the following is/are correct? (A) The probability of getting a number greater than 4 is $\frac{1}{3}$ (B) The probability of getting a number greater than or equal to 4 is $\frac{1}{3}$ (C) The probability of getting a number less than or equal to 3 is $\frac{1}{2}$ (D) The probability of getting a number less than or equal to 6 is 1. Choose the correct answer from the options given below:

Which of the following pair of linear equations is inconsistent? (A) x - y = 5; 3x - 3y = 10 (B) 2x + 3y = 4; 4x + 6y = 8 (C) 9x + 6y = 6; 3x + 2y = 3 (D) 2x + 5y = 2; 6x - 15y = 4 Choose the correct answer from the options given below:

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