Playing with Nu...

A number is divisible by 3 and 4 both. By what other number(s) will it be always divisible?

What least value should be given to 'a' so that the number 789a56 is divisible by 11?

The numbers (49, 81) are ________ numbers.

The biggest three-digit number when divided by 17, 29 and 39 will leave a remainder of _______, respectively.

The LCM of two consecutive odd numbers is always ________.

The LCM of two numbers 120 and 52 is 1560. Find the HCF of these two numbers.

Which of the following is not a composite number?

Which of the following will be equal to the square of 13?

(A) 1 + 3 + 5 + ... + 21
(B) 1 + 3 + 5 + ... + 23
(C) 1 + 3 + 5 + ... + 25
(D) 1 + 3 + 5 + ... + 27

The product of two different prime numbers below 100 always has ______ factors.

Which of the following numbers is divisible by 2, 3, 4, 5, 6 and 7?

How many pairs of co-prime numbers can be made from the following numbers?

78, 66, 77, 96, 110, 45

Which of the following numbers has the least number of factors?

What is the HCF of the biggest two-digit number and the smallest two-digit number?

A number is always divisible by 6 if it is divisible by ________.

What is the reciprocal of the smallest two-digit composite number?

The numbers which have three or more factors are called __________ numbers.

If 457N8 is divisible by 4, what could be the least possible value of N?

The least number, which when increased by 7 is exactly divisible by 24, 28, 32 and 48, is ____.

Find the largest two-digit number that will divide the smallest five-digit and six-digit numbers.

The HCF and the LCM of two numbers are 32 and 1344, respectively. If one of the numbers is 96, what is the other number?

A person has 114 sweets and 171 chocolates. He wants to pack them into baskets such that no sweet or chocolate is left, making sure that each basket has same number of sweets and chocolates. How many maximum baskets can he make?

What is the least number of square sheets of cloth required to cover a land having dimensions 64 m x 32 m?

There are three types of sweets in a shop. Type A sweets come in packets of 36, type B sweets come in packets of 48 and type C sweets come in packets of 57. What is the minimum number of sweets a retailer must buy of each type so that he has equal number of sweets of each type?

There are two containers in a factory, one container can hold 1875 kg of sugar and another container can hold 2625 kg of sugar. What can be the capacity of the biggest tool that can be used to fill the containers fully?

There are 475, 513 and 551 balls in three sacks. The balls are to be packed into different boxes of same size. How many maximum balls can each box hold such that after packing no ball is left?

Which of the following statements are true?

A. The divisor can't be greater than the remainder.
B. All prime numbers are odd.
C. The LCM of two even numbers is also even.
D. 1 is a multiple of every number.

Directions: Read the following statements and choose the correct option.

Statement 1: If two numbers are divisible by a number, then their product will also be divisible by that number.
Statement 2: The sum of two perfect square numbers can be equal to another perfect square number.

Which of the above is true?

Fill in the blanks.

(A) The HCF of two consecutive even numbers below 10 is ________.
(B) The natural numbers which have more than two factors are called ________.
(C) If a number is divisible by 6, it must be divisible by ______.

Find the values of X, Y and Z, if 24X8 is divisible by 4, 447Y is divisible by 3 and 724Z is divisible by 6.

Match the following: