19 questions found
What is the sum of all digits which appear in all the integers from 10 to 100?
What is the remainder if 2^192 is divided by 6?
There are five persons P, Q, R, S and T each one of whom has to be assigned one task. Neither P nor Q can be assigned Task-1. Task-2 must be assigned to either R or S. In how many ways can the assignment be done?
A flag has to be designed with 4 horizontal stripes using some or all of the colours red, green and yellow. What is the number of different ways in which this can be done so that no two adjacent stripes have the same colour?
There are three traffic signals. Each signal changes colour from green to red and then from red to green. The first signal takes 25 seconds, the second signal takes 39 seconds and the third signal takes 60 seconds to change the colour from green to red. The durations for green and red colours are same. At 2:00 p.m., they together turn green. At what time will they change to green next, simultaneously?
If today is Sunday, then which day is it exactly on 10^10 th day?
What is the number of selections of 10 consecutive things out of 12 things in a circle taken in the clockwise direction?
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?
How many natural numbers are there which give a remainder of 31 when 1186 is divided by these natural numbers?
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?
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?
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?
If p, q, r and s are distinct single digit positive numbers, then what is the greatest value of (p + q)(r + s)?
Let x be a positive integer such that 7x + 96 is divisible by x. How many values of x are possible?
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:
For any choices of values of X, Y and Z, the 6-digit number of the form XYZXYZ is divisible by:
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?
What is the unit digit in the expansion of (57242)^(8×7×6×5×4×3×2×1)?
What is the remainder when 85 × 87 × 89 × 91 × 95 × 96 is divided by 100?
