Playing with Nu...

A number is divisible by both 6 and 13. By which of the following other numbers will that number be always divisible?

What least value should be given to *, so that the number 750*64 is divisible by 11?

The number (17, 23) are _____ numbers.

The lowest number which when divided by 18, 24, 36 and 48 leaves a remainder of 15, 21, 33, 45, respectively is

The HCF of two consecutive even numbers is

The HCF of two numbers is 36 and their LCM is 464. If one number is 116, then the other number is

If a number has exactly two factors, 1 and itself, then it is a/an

Directions: Observe the following patterns. Then find the sum of 1 + 3 + 5 + 7 + 9 + ....+ 21.

1 = 1 x 1 = 1
1 + 3 = 2 x 2 = 4
1 + 3 + 5 = 3 x 3 = 9
1 + 3 + 5 + 7 = 4 x 4 = 16
1 + 3 + 5 + 7 + 9 = 5 x 5 = 25
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The HCF of the denominator and the numerator of a fraction, which is in its lowest form,

The two numbers nearest to 10,000, which are exactly divisible by each of 3, 5, 7, 8 and 9, are

Which of the following pairs are twin prime numbers?

Which of the following numbers has exactly 6 factors?

LCM of two numbers is equal to

A number always divisible by 120 is

What is the reciprocal of the prime number just before 100?

Numbers that are either 2 less or 2 more than another number are called

If 5529x is divisible by 9, then what can be the least value of x?

The least number which when increased by 5 is exactly divisible by 14, 21, 28 and 35, is

Find the least number, which will divide the least 3 digit number and the least 4 digit number exactly.

The HCF and LCM of two numbers are 48 and 576, respectively. If one of the numbers is 512, then the other number is

There are 178 mangoes and 156 cherries. These fruits are to be arranged in stacks containing the same number of fruits. Then, the greatest number of fruits possible in each stack is

The least number of square tiles that will be needed to cover a roof of 441 m by 42 m is

Five bells toll together at an instant. After that, they separately toll at intervals of 3, 5, 7, 8 and 10 seconds. After how long will they again toll together?

Two containers contain 540 litres and 320 litres of water, respectively. The maximum capacity of a container, which can measure the water out of both the containers is

The length, breadth and height of an auditorium are 505 m, 525 m and 625 m, respectively. Find the longest tape, which can measure the three dimensions of the auditorium exactly.

Directions: State 'T' for true and 'F' for false.

(i) The sum of three odd numbers is even.
(ii) Prime numbers do not have any factor.
(iii) The product of two even numbers is always even.
(iv) All prime numbers are odd.

(i) (ii) (iii) (iv)
(A) T F T F
(B) F T T F
(C) F F T F
(D) T T F T

Directions: Read the following statements and mark the correct option accordingly.

Statement-1: A number for which the sum of its factors other than the number is equal to that number itself is called a perfect number.
Statement-2: The product of three consecutive numbers will always be a multiple of 6.

Directions: Fill in the blanks.

(i) LCM of two co-prime numbers will be (A) of the numbers.
(ii) HCF of two consecutive even numbers (B) .
(iii) If a number is divisible by 6, then it must also be divisible by 2 and (C) .

Find the value of x + y + z, if 821x is divisible by 8, 992y is divisible by 12 and 446z is divisible by 6.

Directions: Match the following.