Basic Numeracy and Data Interpretation — UPSC CSE CSAT PYQs

Raj has ten pairs of red, nine pairs of white and eight pairs of black shoes in a box. If he randomly picks shoes one by one (without replacement) from the box to get a red pair of shoes to wear, what is the maximum number of attempts he has to make ?

In how many ways can a batsman score exactly 25 runs by scoring single runs, fours and sixes only, irrespective of the sequence of scoring shots ?

What is the remainder when 85 x 87 x 89 x 91 x 95 x 96 is divided by 100 ?

What is the unit digit in the expansion of (57242)^(9x7x5x3x1) ?

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 what is the value of A + B + C + D + E + F ?

D is a 3-digit number such that the ratio of the number to the sum of its digits is least. What is the difference between the digit at the hundred's place and the digit at the unit's place of D ?

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 - s - t is definitely even.
2. 2p + q + 2r - 2s + t is definitely odd.
   Which of the above statements is/are correct ?

Consider the following in respect of prime number p and composite number c.

1. (p + c) / (p - c) can be even.
2. 2p + c can be odd.
3. pc can be odd.
   Which of the statements given above are correct ?

A 3-digit number ABC, on multiplication with D gives 37DD where A, B, C and D are different non-zero digits. What is the value of A + B + C ?

For any choices of values of X, Y and Z, the 6-digit number of the form XYZXYZ is divisible by :