Average

There are three numbers, the average of first two numbers is 2 and the average of the last two numbers is 3, and the average of the first and the last numbers is 4. What is the average of three numbers?

JMO - DIVISION

Which is the largest number that will perfectly divide 101100–1 
a) 10000
b) 1000
c) 100
d) 100001

JMO - numbers

How many twin prime numbers are there between 1 and 100?
Twin prime numbers are prime numbers which differ from each other by 2.

JMO Division

When a + b is divided by 12, the Remainder is 8. When a - b is divided by 12 the Remainder is 6. If a > b, then find the Remainder when ab is divided by 6?

JMO --- numbers

We have a four-digit number that is a multiple of 9. Of the four digits, three of the consecutive digits are same. How many such numbers are possible?

JMO numbers

Between 1 to 10,000, how many times does the digit 7 appear?

JMO - Division

If S = 123456789101112................9979989991000

What will be the Remainder when S is divided by 9.

JMO - division

If P =1234567891011.............9989991000

find the Remainder when the first 1000 digits are divided by 16.

JMO - number

If P =1234567891011.............9989991000

Find the 1000th digit from the left

Tutorial

Two prime numbers A,B (A<B) are called twin primes if they differ by 2.

Also, any prime number greater than 3 will be in the form of 6x+1 or 6x−1.

Eg. of twin prime

5,7

11,13

17,19

29,31

eg. of prime numbers with 6x + 1

7,13, 19, 31, 37, 43, 61.......

eg. of prime numbers with 6x - 1

5, 11, 17, 23, 29, 41.......

JMO - division

What is the Remainder when 231 is divided by 5?

JMO - division

When a certain number is divided by 222, it leaves a remainder of 35, another number when divided by 407 leaves a remainder 47. What is the remainder when the sum of these two numbers is divided by 37?

JMO --- numbers

Find the value of M and N respectively if M39048458N is divisible by 8 and 11, where M and N are single digit integers?

JMO - division

Find the remainder when 7187 is divided by 800.

JMO

What is the Remainder in  7⁵ ÷ 6

JMO

What is the difference between the units place in (461⁴⁶¹ - 456⁴⁵⁶) ?

JMO

With the 5 digits 3,4,5,6 and 7, how many possible numbers can be formed which is divisible by 11.

JMO, numbers

In the number 259260261262263....490491492. How many 8's are there?

numbers, JMO

Nanu wrote all the numbers from 200 to 300. Then she started counting the number of two's that has been used while writing all these numbers. What is the number that she will get?

JMO, numbers

How many keystrokes are needed to type numbers from 1 to 2000 on a standard keyboard?