Quantitative Reasoning PYQ — Page 5

A speaks the truth in 70% of cases and B lies in 40% of cases. The probability that they will say the same thing while describing a single event (to have occurred or not) will be:

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) $^n{C_{r-1}} + ^n{C_r}$ | (I) $^n{C_{n-r}}$ | | (B) $^n{C_r}$ | (II) $n + ^1{C_r}$ | | (C) $^{50}{C_r} = ^{50}{C_{r+2}}$, then r = | (III) 24 | | (D) $^n{P_3} = 9240$, n=? | (IV) 22 | Choose the correct answer from the options given below:

The value of $\frac{1}{3 \times 7} + \frac{1}{7 \times 11} + \frac{1}{11 \times 15} + ... + \frac{1}{27 \times 31}$ is:

The intersection point on the Y- axis of $5x - 3y = 9$ is

Match List-I with List-II | List-I | List-II | |---|---| | (A) Remainder when $17^{35234}$ is divided by 8 | (I) 0 | | (B) Remainder when 4444 is divided by 9 | (II) 1 | | (C) Unit's digit of $(34)^{15} + (34)^{16}$ | (III) 2 | | (D) Unit digit of $7^4 - 9^3$ | (IV) 7 | Choose the correct answer from the options given below:

For what value of k, the system of equations $3x - ky - 3 = 0$ and $2x - 3y - 4 = 0$ has no solution?

The sum of n terms of the series $1 + \frac{3}{2} + 2 + \frac{5}{2} + 3 + \frac{7}{2} + ...$

A bag contains 3 red, 2 blue, 5 green and 4 yellow balls. If two balls are picked at random, what is the probability that either both are red or both are blue?

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

The sum of the digits of a 4-digit number is subtracted from the number. The resulting number is always

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 pair of linear equations mx + 2y + 3 = 0 and 3x + 6y + 2 = 0 intersect each other, if

A number when divided by 95 leaves a remainder 43. If the same number is divided by 19, then the remainder will be:

How many ways, can the letters of the word 'QUANTITATIVE' be arranged, so that all T are together?

Two dice are thrown simultaneously. What is the probability that 4 will come up on at least one die?

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

In how many different ways, can the letters of the word ASSOCIATION be arranged, so that the vowels always come together?

The graphs of px + qy = r, mx + ny = s will be (A) intersecting, if the system has only one solution. (B) overlapping, if the system has a finite number of solutions. (C) parallel, if the system has infinite solutions Which of the statements below is/are incorrect?

Arnav rolls two dice simultaneously. What is the probability of Arnav getting two numbers whose sum is a prime number?

Find the value of p for which the lines, $px + 3y + 5 = 0$ and $8x + 2y - 3 = 0$ are parallel.

The difference between the squares of two consecutive even integers will always be divisible by which of the following? (A) 2 (B) 3 (C) 4 (D) 5 Choose the correct answer from the options given below:

Match List-I with List-II | List-I | List-II | |---|---| | (A) $^8P_3 - ^{10}C_3$ | (I) 6 | | (B) $^8P_5$ | (II) 21 | | (C) $^nP_4 = 360$, then find n. | (III) 216 | | (D) $^nC_2 = 210$, find n. | (IV) 6720 | Choose the correct answer from the options given below:

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: