Elementary Algebra · Basic Numeracy · UPSC Civil Service

In the expression $5 * 4 * 3 * 2 * 1$, * is chosen from $+$, $-$, $\times$ each at most two times. What is the smallest non-negative value of the expr...

A father said to his son, "n years back I was as old as you are now. My present age is four times your age n years back". If the sum of the present ag...

Let $p, q, r$ and $s$ be distinct positive integers. Let $p, q$ be odd and $r, s$ be even. Consider the following statements :1. $(p - r) (qs)$ is eve...

If the sum of the two-digit numbers AB and CD is the three-digit number 1CE, where the letters A, B, C, D, E denote distinct digits, then what is the ...

The total cost of 4 oranges, 6 mangoes and 8 apples is equal to twice the total cost of 1 orange, 2 mangoes and 5 apples.Consider the following statem...

Let $p$ and $q$ be positive integers satisfying $p ...

A Question is given followed by two Statements I and II. Consider the Question and the Statements.Question:Is $(x + y)$ an integer?Statement-I:$ (2x +...

In some code, letters P, Q, R, S, T represent numbers 4, 5, 10, 12, 15. It is not known which letter represents which number. If Q - S = 2S and T = R ...

If ABC and DEF are both 3-digit numbers such that A, B, C, D, E and F are distinct non-zero digits such that ABC + DEF = 1111, then wha...

Three of the five positive integers p, q, r, s, t are even and two of them are odd (not necessarily in order). Consider the following : 1. p + q + r ...

If p, q, r and s are distinct single digit positive numbers, then what is the greatest value of (p + q) (r + s)?

Each digit of a 9-digit number is 1. It is multiplied by itself. What is the sum of the digits of the resulting number?

Let pp, qq and rr be 2-digit numbers where p < q < r. If pp + qq + rr = tt0, where tt0 is a 3-digit number ending with zero, consider the follow...

Question: Is (p + q - r) greater than (p - q + r), where p, q and r are integers ? Statement-1: (p - q) is positive. Statement-2: (p - r) is negativ...

A has some coins. He gives half of the coins and 2 more to B. B gives half of the coins and 2 more to C. C gives half of the coins and 2 more to D. Th...

When 70% of a number x is added to another number y, the sum becomes 165% of the value of y. When 60% of the number x is added to another number z, th...

Let p be a two-digit number and q be the number consisting of same digits written in reverse order. If p × q = 2430, then what is the difference betwe...

From January 1, 2021, the price of petrol (in Rupees per litre) on mth day of the year is 80 + 0.1 m, where m = 1, 2, 3, ..., 100 and t...

There are three points P, Q and R on a straight line such that PQ : QR = 3 : 5. If n is the number of possible values of PQ : PR, then what is n equal...

X said to Y, "At the time of your birth I was twice as old as you are at present." If the present age of X is 42 years, then consider the following st...

Jay and Vijay spent an equal amount of money to buy some pens and special pencils of the same quality from the same store. If Jay bought 3 pens and 5 ...