Quantitative Reasoning PYQ — Page 6

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:

The present ratio of ages of P and Q is 2:7. Six years ago, this ratio was 1:5. Determine the present age of P?

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 a musical chair game, the person playing the music has been advised to stop playing the music at any time within 1.5 minutes after he starts playing. What is the probability that the music will stop within the first 15 seconds after starting?

The 21st and 33rd terms of an arithmetic progression are 91 and 145 respectively. What is the 29th term?

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

A and B are participating in the same contest, the probability of their winning are $\frac{5}{8}$ and $\frac{1}{4}$ respectively. What is the probability that neither of them will win the contest?

The system of equations $4x + 14y = 18$ and $6x + 21y = 33$ has

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?

An integer number is chosen at random from the first 100 integers. What is the probability that the chosen number is a perfect cube?

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

Consider the following statements: (A) The unit's digit in the product of (5236 x 6231) is 1. (B) The digit in the unit's place for the product 31 x 32 x 33 x 34 x ....x 49 is 0. (C) The sum of the face values of 7 and 4 in 8175349 is 11. (D) The sum of the place values of 3 in 3935 is 6. Choose the correct answer from the options given below:

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

Read the information given below carefully and answer the question that follows: **Question: How much does Ajay pay to his driver every month as Salary?** **Statements:** i. Rakesh pays 20% more per month, to his driver than Ajay as Rakesh's driver has a 15 year experience. Moreover, Ajay pays 30% more per month than Karan as Karan's driver has mere 5 years of experience. ii. As Karan would avail 10% discount on drivers's salary by paying for 6 months in advance, Karan paid his driver Rs 54000 for 6 months in advance. Determine which of the following is True in order to solve the asked question?

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:

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

Solve the given equation by replacing the question mark "?" with the most appropriate option: $16^2 + 8^2 - 16 * 8 = \ ?$

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:

Read the information given below carefully and answer the question that follows: Aditi, a salesgirl is appointed at a basic salary of ₹ 1200 per month. The condition of employment further stated that for every sale of ₹ 10000 or above she does, she will get 50 % of basic salary and 10 % of the sales as special incentive. However, this incentive scheme shall not work on the first ₹ 10000 of sales made. What should be the value of sales if Aditi wants to earn ₹ 7600 in a particular month?

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 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: