Test Details

Real Numbers

Nov 27, 3:00 PM

60 minutes

Nov 27, 4:00 PM

34.0 marks

MCQ

21 questions

Sheeja N

P. G, B.Ed in Maths

Class Details

English

Mathematics

Class 10

English

Mathematics

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Question Text

Question 1 :
The ........... when multiplied always give a new unique natural number.

Question 2 :
If $a=\sqrt{11}+\sqrt{3}, b =\sqrt{12}+\sqrt{2}, c=\sqrt{6}+\sqrt{4}$, then which of the following holds true ?

Question 4 :
A rectangular veranda is of dimension $18$m $72$cm $\times 13$ m $20$ cm. Square tiles of the same dimensions are used to cover it. Find the least number of such tiles.

Question 5 :
If $a=107,b=13$ using Euclid's division algorithm find the values of $q$ and $r$ such that $a=bq+r$

Question 6 :
For finding the greatest common divisor of two given integers. A method based on the division algorithm is used called ............

Question 7 :
Euclids division lemma, the general equation can be represented as .......

Question 9 :
State True or False:$4\, - \,5\sqrt 2 $ is irrational if $\sqrt 2 $ is irrational.

Question 10 :
Euclid's division lemma states that for two positive integers a and b, there exist unique integers q and r such that $a = bq + r$, where r must satisfy

Question 12 :
Say true or false:A positive integer is of the form $3q + 1,$ $q$  being a natural number, then you write its square in any form other than  $3m + 1$, i.e.,$ 3m $ or $3m + 2$  for some integer $m$.

Question 13 :
Use Euclid's division lemma to find the HCF of the following 27727 and 53124

Question 14 :
Three ropes are $7\ m, 12\ m\ 95\ cm$ and $3\ m\ 85\ cm$ long. What is the greatest possible length that can be used to measure these ropes?

Question 16 :
 The square of any positive odd integer for some integer $ m$ is of the form

Question 17 :
The H.C.F of $ 144 $ and $ 198 $ is

Question 19 :
If any positive' even integer is of the form 4q or 4q + 2, then q belongs to:

Question 20 :
We know that any odd positive integer is of the form $4q + 1 $ or $4q + 3$ for some integer $q.$ Thus, we have the following two cases.

Question 21 :
When a natural number x is divided by 5, the remainder is 2. When a natural number y is divided by 5, the remainder is 4. The remainder is z when x+y is divided by 5. The value of $\dfrac { 2z-5 }{ 3 } $ is

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