Test Details

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Real Numbers

Chapter1 Preparation

Jun 25, 7:45 PM

45 minutes

Jun 25, 8:30 PM

40.0 marks

MCQ

20 questions

Ahmad Zia Danish

I completed B.Sc from AMU, Aligarh followed by MCA from Birla Institute of Technology,Ranchi. I have an experience of 10 years of teaching.

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Maths

10th-Batch

Maths

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Question Text

Question 1 :
The decimal expansion of the rational number $\dfrac{33}{2^{2}\cdot 5}$ will terminate after ______.

Question 2 :
Any positive odd integer is of the form 6q + 1, or 6q + 3, or 6q + 5, where q is some integer. TRUE or FALSE ?

Question 4 :
Can $12^n$ end with the digit 0 or 5 for any natural number n?

Question 5 :
Without actually performing the long division, state whether $\frac{77}{210}$ will have a terminating decimal expansion or a non-terminating repeating decimal expansion.

Question 6 :
Given that HCF (306, 657) = 9, find LCM (306, 657).

Question 7 :
Without actually performing the long division, state whether $\frac{15}{1600}$ will have a terminating decimal expansion or a non-terminating repeating decimal expansion.

Question 9 :
“The product of three consecutive positive integers is divisible by 6'. Is this statement true or false ?

Question 10 :
Without actually performing the long division, find if $\frac{987}{10500}$ will have terminating or non-terminating (repeating) decimal expansion.

Question 11 :
If n is an odd integer, then $n^2 $– 1 is divisible by 8. Is it true?

Question 12 :
State True or False, Let p be a prime number. If p divides $a^2$ , then p divides a, where a is a positive integer.

Question 14 :
The square of any positive integer cannot be of the form 5q + 2 or 5q + 3 for any integer q. Is it true?

Question 16 :
How is 156 expressed as a product of its prime factors?

Question 17 :
What are the LCM and HCF (by prime factorisation method) of 6, 72 and 120?

Question 18 :
The prime factorisation of a ___________ is unique, except for the order of its factors.

Question 19 :
What are the LCM and HCF of 12, 15 and 21?

Question 20 :
Any positive odd integer is of the form 4q + 1 or 4q + 3, where q is some integer. TRUE or FALSE ?

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