Class 8 Mathematics MCQ Squares And Square Roots

Question : What will be the number of digits in the square root of 25600?
(a) 3
(b) 2
(c) 5
(d) 4

Question : What will be the number of digits in the square root of 1296?
(a) 2
(b) 3
(c) 1
(d) 4

Question : The square root of 12.25 is _______________ .
(a) 3.5
(b) 2.5
(c) 35
(d) 25

Question : What is the length of the side of a square whose area is 441 cm²?
(a) 21
(b) 22
(c) 20
(d) 12

Question : In a right angle triangle ABC , right angled at B, AB=6cm, BC=8cm ,then AC= ____ .
(a) 10
(b) 12
(c) 21
(d) 14

Question : Which least number should be subtracted from 629 so as to get a perfect square?
(a) 4
(b) 5
(c) 6
(d) 3

Question : The square root of 1.21 is
(a) 1.1
(b) 11
(c) 21
(d) 2.1

Question : What is the smallest square number which is divisible by each of the numbers 6,9 and 15 ?
(a) 900
(b) 810
(c) 630
(d) 720

Question : The square of 1.2 is
(a) 144
(b) 1.44
(c) 14.4
(d) 2.4

Question : The square root of 169 is
(a) -13
(b) 1.3
(c) -1.3
(d) $\frac{13}{10}$

Question : What is the length of the diagonal of a rectangle having dimensions 3cm and 4cm?
(a) 5
(b) 7
(c) 1
(d) 4

Question : What will be the length of third side of a right angled triangle whose hypotenuse is 5cm and one of the side is 3 cm?
(a) 2
(b) 3
(c) 4
(d) 5

Question : Which of the following is not a perfect square?
(a) 81
(b) 18
(c) 100
(d) 121

Question : Which is the smallest square number that is divisible by each of the number 4, 9 and 10?
(a) 900
(b) 810
(c) 800
(d) 920

Question : What could be the possible “one’s digit” of the square root of 625?
(a) 5
(b) 0
(c) 4
(d) 8

Question : A perfect square number between 30 and 40 is
(a) 36
(b) 32
(c) 33
(d) 39.

Question : Which of the following is a perfect square?
(a) 1057
(b) 625
(c) 7928
(d) 64000

Question : Which of 225², 97², 53² and 809² would end with digit 1.
(a) 225²
(b) 97²
(c) 53²
(d) 809²

Question : Which of the following would end with digit 1?
(a) 123²
(b) 161²
(c) 77²
(d) 82²

Question : The square root of 1.21 is
(a) 1.1
(b) 11
(c) 21
(d) 2.1

Question : Which of the following is a perfect square number ?
(a) 1067
(b) 7828
(c) 4333
(d) 625.

Question : Which of the following will have 6 at unit place?
(a) 19²
(b) 11²
(c) 24²
(d) 13²

Question : How many natural numbers lie between 13² and 14².
(a) 24
(b) 25
(c) 26
(d) 27

Question : The square of 23 is :
(a) 529
(b) 526
(c) 461
(d) 429

Question : Which is the greatest three-digit perfect square?
(a) 999
(b) 961
(c) 962
(d) 970

Question : Which of 1322, 872, 722 and 2092 would end with digit 1 ?
(a) 1322
(b) 872
(c) 722
(d) 2092.

Question : What will be the number of zeros in square of 400?
(a) 2
(b) 3
(c) 4
(d) 6

Question : What could be the possible one’s digit of the no. whose square is 361?
(a) 3, 4
(b) 6, 7
(c) 1, 9
(d) 7, 8

Question : The largest perfect square between 4 and 50 is
(a) 25
(b) 36
(c) 49
(d) 45

Question : Find the square of 39.
(a) 1500
(b) 78
(c) 1521
(d) none of these

Question : Which of 172, 342, 252 and 492 would have 6 at unit place ?
(a) 172
(b) 342
(c) 252
(d) 492.

Question : What is the sum of first four odd natural numbers?
(a) 16
(b) 17
(c) 18
(d) 20

Question : The number of digits in the square root of 78400 is ………….
(a) 1
(b) 2
(c) 3
(d) 4

Question : How many natural numbers lie between 92 and 102?
(a) 15
(b) 19
(c) 18
(d) 17

Question : What is smallest number with which 5400 may be multiplied so that the product is perfect cube?
(a) 5
(b) 3
(c) 4
(d) 6

Question : What will be the number of zeros in the square of the number 100 ?
(a) 2
(b) 4
(c) 6
(d) 8.

Question : The sum of 1 + 3 + 5 + 7 + 9 + 11 + 13 + 15 + 17 +19 is:
(a) 121
(b) 120
(c) 100
(d) 110

Question : Which of the following can be a perfect square?
(a) A number ending in 3 or 7
(b) A number ending with odd number of zeros
(c) A number ending with even number of zeros
(d) A number ending in 2.

Question : Without doing any calculation, find the numbers which are surely perfect squares.
(a) 441
(b) 408
(c) 153
(d) 257

Question : Find the greatest 4-digit number which is a perfect square.
(a) 9990
(b) 9801
(c) 9999
(d) none of these

Question : The square of which of the following numbers will be even ? 11, 111, 1111, 112
(a) 11
(b) 111
(c) 1111
(d) 112.

Question : The square of which of the following would be even number?
(a) 2826
(b) 7779
(c) 1057
(d) 131

Question : Sum of squares of two numbers is 145. If square root of one number is 3, find the other number.
(a) 136
(b) 9
(c) 64
(d) 8

Question : If a number has 1 or 9 in the unit’s place, then it’s square ends in __.
(a) 3
(b) 9
(c) 1
(d) none of these

Question :The square root of 169 is
(a) 13
(b) 1.3
(c) -1.3
(d) $\frac { 13 }{ 10 }$

Question :What could be the possible “one’s digit” of the square root of 625?
(a) 5
(b) 0
(c) 4
(d) 8

Question :Sum of squares of two numbers is 145. If square root of one number is 3, find the other number.
(a) 136
(b) 9
(c) 64
(d) 8

Question :The square root of 1.21 is
(a) 1.1
(b) 11
(c) 21
(d) 2.1

Question :How many numbers lie between square of 12 and 13
(a) 22
(b) 23
(c) 24
(d) 25

Question :Which is the greatest three-digit perfect square?
(a) 999
(b) 961
(c) 962
(d) 970

Question :How many natural numbers lie between 9² and 10²?
(a) 15
(b) 19
(c) 18
(d) 17

Question :The largest perfect square between 4 and 50 is
(a) 25
(b) 36
(c) 49
(d) 45

Question :Sum of squares of two numbers is 145. If square root of one number is 3, find the other number.
(a) 136
(b) 8
(c) 9
(d) 64

Question :Find the square of 39.
(a) 1500
(b) 78
(c) 1521
(d) none of these

Question :Find the least number that must be subtracted from 5607 so as to get a perfect square.
(a) 130
(b) 135
(c) 131
(d) none of these

Question :What is smallest number with which 5400 may be multiplied so that the product is perfect cube?
(a) 5
(b) 3
(c) 4
(d) 6

Question :What is the length of the side of a square whose area is 441 cm² ?
(a) 21
(b) 22
(c) 20
(d) 12

Question :Which of the following are the factors of ac+ ab + bc + ca
(a) (a – c)(a – b)
(b) (a + c)(a + b)
(c) (a – c)(a + b)
(d) (a + c)(a – b)

Question :Find the greatest 4-digit number which is a perfect square.
(a) 9990
(b) 9801
(c) 9999
(d) none of these

Question :Without doing any calculation, find the numbers which are surely perfect squares.
(a) 441
(b) 408
(c) 153
(d) 257

Question :Find the perfect square numbers between 30 and 40.
(a) 936
(b) 49
(c) 25
(d) none of these

Question :Without adding,find the sum of 1+3+5+7+9+11+13+15+17+19
(a) 100
(b) 64
(c) 49
(d) 81

Question :What will be the number of digits in the square root of 1296?
(a) 2
(b) 3
(c) 1
(d) 4

Question :If a number has 1 or 9 in the unit’s place, then it’s square ends in ________.
(a) 3
(b) 9
(c) 1
(d) none of these

Question :The square of 23 is :
(a) 529
(b) 526
(c) 461
(d) 429

Question :Which of the following would end with digit 1?
(a) 123²
(b) 161²
(c) 77²
(d) 82²

Question : Which of the following is a perfect square?
(a) 1057
(b) 625
(c) 7928
(d) 64000

Question : Which of the following will have 6 at unit place?
(a) 19²
(b) 11²
(c) 24²
(d) 13²

Question : If 5278 is squared, then what will be at unit place?
(a) 8
(b) 7
(c) 6
(d) 4

Question : What will be the number of zeros in square of 400?
(a) 2
(b) 3
(c) 4
(d) 6

Question : How many natural numbers lie between 9² and 10²?
(a) 17
(b) 18
(c) 19
(d) 20

Question : What is the sum of the first four odd natural numbers?
(a) 16
(b) 17
(c) 18
(d) 20

Question : The value of 9² – 1 is equal to:
(a) 81
(b) 80
(c) 79
(d) None of the above

Question : The sum of 1 + 3 + 5 + 7 + 9 + 11 + 13 + 15 + 17 +19 is:
(a) 121
(b) 120
(c) 100
(d) 110

Question : The square of 42 is:
(a) 1764
(b) 1664
(c) 1564
(d) 1504

Question : The Pythagorean triples whose smallest number is 8:
(a) 8, 16 17
(b) 8, 17, 18
(c) 8, 15, 17
(d) 8, 15, 16

Question : Which of the following is a perfect square? 32, 66, 81, 101.
(a) 32
(b) 66
(c) 81
(d) 101

Question : A perfect square that lies between 40 and 50 is:
(a) 42
(b) 45
(c) 46
(d) 49

Question : Which of the following is not a square number?
(a) 4
(b) 9
(c) 24
(d) 100

Question : Find the greatest four-digit number that is a perfect square.
(a) 9990
(b) 9801
(c) 9999
(d) None of these

Question : The square of which of these will have 6 at the unit place?
(a) 17²
(b) 16²
(c) 15²
(d) 19²

Question : The square of which of the following number will be an even number?
(a) 31
(b) 69
(c) 67
(d) 38

Question : How many zeros are there for the square of 200?
(a) 2
(b) 3
(c) 4
(d) 6

Question : What will be the unit digit of square of 35789?
(a) 1
(b) 9
(c) 3
(d) 8

Question : 49 can be expressed as the sum of how many same odd numbers?
(a) 5
(b) 7
(c) 9
(d) 11

Question : What is the length of side of a square, if the area of square is 441 cm²?
(a) 21 cm
(b) 29 cm
(c) 31 cm
(d) 39 cm