UPSC CSAT Mathematics Questions

If (2a/b) = (c/6) = (8/d) and (b/c) = 6, where a, b, c and d are digits. Then a + b = ?

4^0 + 4^2 + 4^-2 + 4^1/2 + 4^-1/2 = ?

If ‘+’ means ‘divided by’, ‘–’ means ‘added to’, ‘×’ means ‘subtracted from’, and ‘÷’ means ‘multiplied by’, then what is the value of 24 ÷ 12 – 18 + 9 ?

If the given interchanges namely : signs + and ÷ and numbers 2 and 4 are made in signs and numbers, which one of the following four equations would be correct ?

The probability that a teacher will give one Surprise Test during any class meeting in a week is 1/5. If a student is absent for 2 days, what is the probability…

Find the value of 1^2 + 3^2 + 5^2 + 7^2 + …… + 19^2.

n is a natural number. If n^5 is odd, which of the following is true? A. n is odd B. n^3 is odd C. n^4 is even

If ‘–’ stands for division, ‘+’ for multiplication, ‘ ’ for subtraction and ‘×’ for addition. Which one of the following equations is correct?

In an examination, 35% candidates failed in one subject and 42% failed in another subject while 15% failed in both the subjects. If 2500 candidates appeared at …

Which one of the following is correct? Replace the symbols (*) with the given signs to make the equation valid. 6 * 4 * 9 * 15

If ‘+’ means ‘×’, ‘×’ means ‘–’, ‘ ’ means ‘+’ and ‘–’ means ‘ ’ , then which of the following gives the result of 175 – 25 5 + 20 × 3 10 = ?

If '$' means '×' ; '-' means '×' ; '+' means '/' and '×' means '-', then 20 $ 12 × 4 + 8 - 6 = ?

In an examination, 65% students passed in Civics and 60% in History, 40% passed in both of these subjects. If 90 students failed in History and Civics both, the…

In a certain office, 72% of the workers prefer tea and 44% prefer coffee. If each of them prefers tea or coffee and 40 like both, the total number of workers in…

In a class, some students play cricket only, some other students play football only, and the remaining 1/6th of the students play both cricket and football. Whi…

40% of the people read newspaper X, 50% read newspaper Y and 10% read both the papers. What percentage of the people read neither newspaper?

Out of 450 students of a school, 325 play football, 175 play cricket and 50 neither play football nor cricket. How many students play both football and cricket?

In an examination, 34% of the students failed in Mathematics and 42% failed in English. If 20% of the students failed in both the subjects, then the percentage …

There are 600 boys in a hostel. Each plays either hockey or football or both. If 75% play hockey and 45% play football, how many play both?

If P denotes +, Q denotes –, R denotes × and S denotes ÷, which of the following statements is correct ?