Test Details

Real Numbers

Nov 03, 10:00 AM

120 minutes

Nov 03, 12:00 PM

50.0 marks

MCQ

40 questions

PABITRA MANNA

I did my graduation from Calcutta University in B.SC. I have teaching experience more than 4 years in the field of school students and also have more than 2 years of experience in the field of competitive exams. I am preparing for WBCS & UPSC Exam.

Class Details

Math & Science

Class 10

Math & Science

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Question Text

Question 1 :
H.C.F. of $x^3 -1$ and $x^4 + x^2 + 1$ is

Question 2 :
For finding the greatest common divisor of two given integers. A method based on the division algorithm is used called ............

Question 3 :
Without actually dividing find which of the following are terminating decimals.

Question 4 :
State whether the following statement is true or false.The following number is irrational $7\sqrt {5}$

Question 5 :
Use Euclid's division lemma to find the HCF of the following 16 and 176

Question 6 :
The LCM of 54 90 and a third number is 1890 and their HCF is 18 The third number is

Question 10 :
Without actually performing the long division, state whether the following rational number will have a terminating decimal expansion or non -terminating decimal expansion$\displaystyle \frac{15}{1600}$

Question 13 :
The ........... when multiplied always give a new unique natural number.

Question 14 :
If $a=\sqrt{11}+\sqrt{3}, b =\sqrt{12}+\sqrt{2}, c=\sqrt{6}+\sqrt{4}$, then which of the following holds true ?

Question 16 :
Assertion: $\displaystyle \frac{13}{3125}$ is a terminating decimal fraction. Reason: If $q=2^n \cdot 5^m$ where $n, m$ are non-negative integers, then $\displaystyle \frac{p}{q}$ is a terminating decimal fraction.

Question 17 :
Using fundamental theorem of Arithmetic find L.C.M. and H.C.F of $816$ and $170$.

Question 19 :
For three irrational numbers $p,q$ and $r$ then $p.(q+r)$ can be

Question 20 :
Use Euclid's division algorithm to find the HCF of :$196$ and $38220$

Question 23 :
Assertion: The denominator of $34.12345$ is of the form $2^n \times 5^m$, where $m, n$ are non-negative integers. Reason: $34.12345$ is a terminating decimal fraction.

Question 24 :
The number of possible pairs of number, whose product is 5400 and the HCF is 30 is

Question 27 :
............. states that for any two positive integers $a$ and $b$ we can find two whole numbers $q$ and $r$ such that $a = b \times q + r$ where $0 \leq r < b .$

Question 28 :
State the following statement is True or False 35.251252253...is an irrational number

Question 30 :
Determine the HCF of $a^2 - 25, a^2 -2a -35$ and $a^2+12a+35$

Question 32 :
State whether the given statement is True or False : $3+\sqrt { 2 } $ is an irrational number.

Question 33 :
The value of $\sqrt { 1+2\sqrt { 1+2\sqrt { 1+2+.... } } }$ is

Question 34 :
A number when divided by $114$ leaves the remainder $21.$ If the same number is divided by $19$ the remainder will be

Question 36 :
The divisor when the quotient, dividend and the remainder are respectively $547, 171282$ and $71$ is equal to 

Question 37 :
Mark the correct alternative of the following. The HCF of $100$ and $101$ is _________.

Question 39 :
Use Euclid's division lemma to find the HCF of the following 65 and 495.

Question 40 :
State whether the given statement is True or False : The number $6+\sqrt { 2 } $ is irrational.

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