divisibility

How many 3 digit numbers are completely divisible 6 ?
A. 146	B. 148
C. 150	D. 152

divisibility

 Let x and y be integers. Prove that (2x + 3y) is divisible by 17 if (9x + 5y) is divisible by 17.

divisibility

divisibility test

Show that 1000....................001  (containing 200 zeroes) is divisible by 1001.

divisibility, numbers

Let n be the total number of different 5 digit numbers that are divisible by 4. The digits comprise of 1, 2, 3, 4, 5 and 6. No digit is repeated in a number. What is the value of n?

divisibility

If n is a positive integer and (n + 1)(n + 3) is odd, then show that (n + 2)(n + 4) must be a multiple of 8.

Division, STD XI

Find the Remainder when 2¹⁶⁴ is divided by 7.

number, division --- JMO

 

numbers / Division - JMO

division

A three digit number is entered twice into the calculator. What will be the Remainder when the number in the calculator is divided by 91.

division

If a number is successively divided by 9,11,13 then it leaves a Remainder of 8,9 and 8 respectively.

Find the smallest number that satisfies this condition.

division

When we divide 333435 by 34 the remainder is a and when we divide 333534 by 34 the remainder is b. What is the value of b – a?

JMO division

If 8ⁿ is divided by 6, then for n € N, & n is odd, and for n € N,& n is even what is the Remainder?

JMO

If 23⁵⁶ is divided by 11 what is the Remainder?

JMO - DIVISION

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

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 - 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 - 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?