MCQ
Mathematics MCQ - Practice Questions with Answers
Solve 30 Mathematics questions for RAS/RPSC preparation.
Practice questions
Q1A two digit number gets reversed when 1/5 th of it is added to it. Find the 40% of that number.
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.
Q2The 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 -
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 -
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.
Q4Two dice are rolled simultaneously then the probability that they show different numbers is
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.
Q5A person’s age after 15 years will be four times his age 15 years back. What is his present age (in years)?
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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More questions
6A cone, a hemisphere and a cylinder stand on equal bases and have the same height. The ratio of their volumes is -
7If x² – 11x + 1 = 0, then the value of (x² + 1/x²) is -
8A two digit number is obtained by either multiplying the sum of the digits by 8 and then subtracting 5 or by multiplying the difference of the digits by 16 and then adding 3. The number is -
91 ÷ 1/(1 ÷ 1/(1 ÷ 1/(1 ÷ 1/(1 ÷ 2)))) = ?
10A natural number when increased by 12, equals 160 times its reciprocal. The number is -
11The mean of the first five multiples of 3 is -
12A work may be completed in 10 days, if x, y and z work together. All three started work together. x left after 4 days, then y and z completed the remaining work by taking 10 more days. In how many days could x complete the whole work alone?
136 men and 2 women working together can do 3 times as much work as a man and a woman. Working capacities of a man and a woman are in the ratio -
14For the set of number 2, 2, 4, 5 and 12 which of the following statement is true?
15If the average of m numbers is n² and of n numbers is m² then average of (m + n) numbers will be -