Test Details

Real Numbers

Mar 13, 8:30 PM

30 minutes

Mar 13, 9:00 PM

40.0 marks

MCQ

20 questions

PRASHANT N PUROHIT

Achievers'Academy

Class Details

Maths

Science

10 GSEB

Maths

Science

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Question Text

Question 2 :
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 3 :
Every positive even integer is of the form 2q, and that every positive odd integer is of the form 2q + 1, where q is some integer. TRUE or FALSE ?

Question 4 :
Using Euclid’s division algorithm, find if this pair of number is co-prime: 231, 396 .

Question 5 :
Find the LCM and HCF of the following integer by applying the prime factorisation method: 12, 15 and 21

Question 6 :
Without actually performing the long division, state whether $\frac{13}{3125}$ will have a terminating decimal expansion or a non-terminating repeating decimal expansion.

Question 7 :
If x and y are both odd positive integers, then $x^2+ y^2$ is even but not divisible by 4. Is it true?

Question 8 :
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 square of any positive integer cannot be of the form 5q + 2 or 5q + 3 for any integer q. Is it true?

Question 11 :
What are the LCM and HCF of 8, 9 and 25?

Question 12 :
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 13 :
How is 7429 expressed as a product of its prime factors?

Question 14 :
The rational number $\frac{257}{5000}$ in the form $2^m × 5^n$ , where m, n are non-negative integers, write its decimal expansion, without actual division.

Question 16 :
Using Euclid’s division lemma can we show that the cube of any positive integer is of the form 9m, 9m + 1 or 9m + 8 ?

Question 17 :
The square of an odd positive integer can be of the form 6q + 1 or 6q + 3 for some integer q. Is it true?

Question 18 :
Given that HCF (306, 657) = 9, What is LCM (306, 657)?

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

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