Playing with Nu...

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?

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

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.

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.

Match the following.