Quantitative Reasoning PYQ — Page 6

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:

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?

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

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

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?

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:

Consider the following statements (A) Square of an odd number is of the form 4n + 1. (B) 1 is a prime number. (C) 83356768 is divisible by 11. Which of the statement(s) given above is/are incorrect?

In how many different ways can the letters of the word 'OFFICE' be arranged so that the vowels never come together?

Consider the following statements (A) 141 is a prime number. (B) 2984234 is divisible by 11 (C) 39552 is divisible by 18. (D) The sum of the face values of 3 and 5 in 36251 is 8. Choose the correct answer from the options given below:

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

Rita purchased 9 pens and 7 pencils for ₹ 66. Megha also bought 5 pens and 11 pencils of the same kind for ₹ 58. What is the cost of 3 pencils?

For what value of k, the system of equations $kx + 4y - k + 4 = 0$ and $16x + ky = k$ has an infinite number of solutions?

Three unbiased coins are tossed. What is the probability of getting at least 2 heads?

If on dividing 26 into two parts, we find that three times the first and seven times the second part together equals to 122. Then, the ratio of first and second part shall be:

The sum of the perfect squares between 150 and 250 is:

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

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

Out of 6 men and 4 women, a committee of 5 members is to be formed so that it has 2 women and 3 men. In how many different ways can it be done:

The present age of Harish is 8 times the sum of the ages of his two sons at present. After 8 years, his age will be 2 times the sum of the ages of his two sons. The present age of Harish (in years) is: