Question Text
Question 1 :
An army contingent of 616 members is to march behind an army band of 32 members in a parade. The two groups are to march in the same number of columns. What is the maximum number of columns in which they can march?
Question 2 :
(7 × 11 × 13 + 13) and (7 × 6 × 5 × 4 × 3 × 2 × 1 + 5) are composite numbers. TRUE or FALSE ?
Question 4 :
Without actually performing the long division, find if $\frac{987}{10500}$ will have terminating or non-terminating (repeating) decimal expansion.
Question 5 :
Find the LCM and HCF of the following integer by applying the prime factorisation method: 8, 9 and 25
Question 6 :
Use Euclid’s division algorithm to find the HCF of 441, 567, 693.
Question 7 :
Without actually performing the long division, state whether $\frac{129}{2^25^77^5}$ will have a terminating decimal expansion or a non-terminating repeating decimal expansion.
Question 8 :
State True or False, Let x be a rational number whose decimal expansion terminates. Then x can be expressed in the form $\frac{p}{q}$, where p and q are coprime, and the prime factorisation of q is of the form $2^n5^m$, where n, m are non-negative integers.
Question 9 :
The product or quotient of a non-zero rational number and an irrational number is ___________.
Question 10 :
“The product of two consecutive positive integers is divisible by 2'. Is this statement true or false?