30 questions found · showing 20
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 following statements:
Let x be a positive integer such that 7x + 96 is divisible by x. How many values of x are possible?
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?
A principal P becomes Q in 1 year when compounded half-yearly with R% annual rate of interest. If the same principal P becomes Q in 1 year when compounded annually with S% annual rate of interest, then which one of the following is correct?
A number N is formed by writing 9 for 99 times. What is the remainder if N is divided by 13?
How many distinct 8-digit numbers can be formed by rearranging the digits of the number 11223344 such that odd digits occupy odd positions and even digits occupy even positions?
What is the sum of all 4-digit numbers less than 2000 formed by the digits 1, 2, 3 and 4, where none of the digits is repeated?
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?
If p, q, r and s are distinct single digit positive numbers, then what is the greatest value of (p + q)(r + s)?
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?
ABCD is a square. One point on each of AB and CD are chosen and two distinct points on each of BC and DA are chosen. How many distinct triangles can be drawn using any three points as vertices out of these six points?
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?
For any choices of values of X, Y and Z, the 6-digit number of the form XYZXYZ is divisible by:
How many natural numbers are there which give a remainder of 31 when 1186 is divided by these natural numbers?
What is the unit digit in the expansion of (57242)^(8×7×6×5×4×3×2×1)?
A, B, C working independently can do a piece of work in 8, 16 and 12 days respectively. A alone works on Monday, B alone works on Tuesday, C alone works on Wednesday; A alone, again works on Thursday and so on. Consider the following statements:
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?
What is the remainder when 85 × 87 × 89 × 91 × 95 × 96 is divided by 100?
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?
What is the sum of all digits which appear in all the integers from 10 to 100?
