Test Details

Test-1 Mathematics (Square and square Root)

Oct 28, 6:00 PM

90 minutes

Oct 28, 7:30 PM

50.0 marks

MCQ

40 questions

Gautam Verma

M.Sc in mathematics & B.Ed

Class Details

Mathematics

Science

Class 8th

Mathematics

Science

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Question Text

Question 2 :
Find the least number which must be subtracted from each of the following numbers so as to get a perfect square. Also, find the square root of the perfect square so obtained. $$402$$ $$1989$$

Question 5 :
If it is possible to form a number with the second, the fifth and the eighth digits of the number31549786, which is the perfect square of a two digit even number, which of the following will bethe second digit of that even number?

Question 6 :
What is the least number to be added to $$4523$$ to make it a perfect square?

Question 8 :
Find the square root of the $$9216$$ by the prime factorisation method.

Question 9 :
Find the value of $$\sqrt{15625}$$ and the use it to find the value of $$\sqrt{156.25}+\sqrt{1.5625}$$.

Question 12 :
What smallest number must be added to 269 to make it a perfect square:

Question 15 :
The number that must be subtracted from $$16161$$ to get a perfect square is ________.

Question 16 :
What should come in place of both the x in the equation $$\displaystyle \frac{x}{\sqrt{128}}=\frac{\sqrt{162}}{x}$$?

Question 24 :
The square root of$$\displaystyle \frac{0.324\times 0.081\times 4.624}{1.5625\times 0.0289\times 72.9\times 64}$$ is

Question 25 :
If the sum $$S$$ of three consecutive even numbers is a perfect square between $$200\;and\;400$$, then the square root of $$S$$ is

Question 26 :
A man plants his orchard with $$5625$$ trees, and arranges them so that there are as many rows as there are trees in a row; how many rows are there?

Question 32 :
If sin$$\theta -cosec  \theta =\sqrt{5},$$ then the value of sin  $$\theta  + cosec  \theta$$ is:

Question 33 :
Find the atleast number which must  be added to each of the following numbers to get a perfect square. Also find the square root of the perfect square numbers. $$a)525$$

Question 35 :
Consider the Following values of the three given number$$\displaystyle \sqrt{103},$$$$\displaystyle \sqrt{99.35},$$$$\displaystyle \sqrt{102.20},$$ 1.10.1489 (approx,) 2.10.109(approx,) 3.9.967 (approx,) The correct sequence of the these values matching with the above number is:

Question 36 :
Some questions and their alternative answer are given. Select the correct alternative . Out of the following which is the pythagorean triplet?

Question 37 :
Find the square root of $$\displaystyle 1 \frac{5}{16}$$  correct to two decimal places

Question 39 :
If $$x^{2}+2(a-1)x+a+5=0$$ has real roots to the interval $$(1,3)$$, then complete set of value of $$'a'$$ is

Question 40 :
If $$5a\sqrt{b}-\dfrac{3}{2b\sqrt{a}}=12$$ and $$a=8b$$, then the value of $$25a^{2}b+\dfrac{9}{4ab^{2}}$$ is ?

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