Question 1 :
Find the number of digits will square root of 24025 have?
Question 2 :
Which of the following will have 4 at the units place?
Question 4 :
A square board has an area of 144 square units. How long is each side of the board?
Question 5 :
State true or false: A perfect square can always be expressed as the product of pairs of prime factors.
Question 7 :
If a perfect square is of n digits, then its square root will have $\left(\frac{n+1}{2}\right)$ digit if n is
Question 8 :
Check whether 90 is a perfect square or not by using prime factorisation.
Question 9 :
Find the length of the side of a square if the length of its diagonal is 10 cm.
Question 10 :
Find the smallest number by which 9720 should be divided to get a perfect cube.
Question 11 :
How many square metres of carpet will be required for a square room of side 6.5m to be carpeted?
Question 12 :
What is the least number that should be subtracted from 1385 to get a perfect square?
Question 14 :
For every natural number m, $\left(2m-1,2m^2-2m,2m^2-2m+1\right)$ is a pythagorean triplet. Is it true or false ?
Question 15 :
There are 21 natural numbers between $10^2$ and $11^2$. Is it true or false ?
Question 16 :
The least number by which 72 be divided to make it a perfect cube is
Question 17 :
There are 200 natural numbers between $100^2$ and $101^2$. Is it true or false ?
Question 19 :
By what smallest number should 216 be divided so that the quotient is a perfect square?
Question 20 :
The cube of 0.4 is 0.064. Is it true or false ?
Question 21 :
Find the smallest number by which 1620 must be divided to get a perfect square.
Question 22 :
Square of a number is positive, so the cube of that number will also be positive. Is it true or false ?
Question 23 :
State true or false: The sum of first n odd natural numbers is given by $n^2$.
Question 24 :
Can a right triangle with sides 6 cm, 10 cm and 8 cm be formed?
Question 25 :
During a mass drill exercise, 6250 students of different schools are arranged in rows such that the number of students in each row is equal to the number of rows. In doing so, the instructor finds out that 9 children are left out. Find the number of children in each row of the square.
Question 26 :
Find the side of a square whose area is equal to the area of a rectangle with sides 6.4m and 2.5m.
Question 28 :
The cube of a one digit number cannot be a two digit number. Is it true or false ?
Question 31 :
Cube of an odd number is even. Is it true or false ?
Question 32 :
Find the length of each side of a cube if its volume is 512 $cm^3$.
Question 34 :
The area of a square plot is $101\frac{1}{400}$ $m^2$. Find the length of one side of the plot.
Question 35 :
8649 students were sitting in a lecture room in such a manner that there were as many students in the row as there were rows in the lecture room. How many students were there in each row of the lecture room?
Question 37 :
Using prime factorisation, find which of the following is perfect squares.
Question 38 :
Cube of an odd number is odd. Is it true or false ?
Question 39 :
State true or false: A number ending in odd numbers of zeros is a perfect square.
Question 40 :
Cube of an even number is odd. Is it true or false ?
Question 41 :
The sum of first n odd natural numbers is $n^2$. Is it true or false ?
Question 42 :
Using prime factorisation, find which of the following is perfect cube.
Question 43 :
The positive square root of a number x is denoted by
Question 44 :
All numbers of a pythagorean triplet are odd. Is it true or false ?
Question 45 :
A perfect square number has four digits, none of which is zero. The digits from left to right have values that are: even, even, odd, even. Find the number.
Question 46 :
Find the Pythagorean triplet whose one of the numbers is 4.
Question 48 :
Check whether 1728 is a perfect cube by using prime factorisation.
Question 49 :
On Subtracting a smallest number from 1385 in order to make a perfect square, then find the square root of perfect square..