Mathematics is a Mathematics (Vanpal) topic in the RAS/RPSC syllabus. This page gathers exam-style Mathematics multiple-choice questions with correct answers and explanations, so aspirants can test recall and revise frequently examined concepts.
Practice 30 Mathematics multiple-choice questions with detailed answers and explanations. Ideal for RAS/RPSC exam preparation.
Reviewed by: Aspirant Academy Editorial Team
Q1. A two digit number gets reversed when 1/5 th of it is added to it. Find the 40% of that number.
Explanation
Let the two-digit number be 10a + b. The condition gives (10a + b) + one-fifth of it = 10b + a, which simplifies to 5a = 4b; the valid digit pair is a = 4, b = 5. The number is 45, and 40% of 45 is 18, so option A is correct.
Q2. The simple interest in 3 years and the compound interest in 2 years on a certain sum at the same rate are ₹ 1,200 and ₹ 832 respectively, then the rate of interest per annum is -
Explanation
Simple interest for 3 years is ₹1200, so one year's simple interest is ₹400. For 2 years, compound interest equals ₹400 for the first year plus ₹400 and interest on ₹400 for the second year, giving 800 + 4r = 832. Hence r = 8%, so option C is correct.
Q3. 'n' is a two digit number such that the product of its digits when added to their sum is 'n'. The unit place digit of 'n' would be -
Explanation
Let the tens digit be a and the units digit be b. The condition is ab + a + b = 10a + b, so ab = 9a and a(b - 9) = 0. Since a cannot be zero in a two-digit number, b = 9; hence option D is correct.
Q4. Two dice are rolled simultaneously then the probability that they show different numbers is
Explanation
Two dice have 36 equally likely outcomes. Same numbers occur in 6 outcomes, so different numbers occur in 36 - 6 = 30 outcomes. The probability is 30/36 = 5/6, hence option D is correct.
Q5. A person’s age after 15 years will be four times his age 15 years back. What is his present age (in years)?
Explanation
Let the present age be x years. After 15 years it will be x + 15, and 15 years ago it was x - 15, so x + 15 = 4(x - 15). Solving gives x = 25, so option D is correct.
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