Square and Square Root Practice Test:
Ques. The largest of four digit numbers which is a perfect square is
(a) 9801
(b) 9904
(c) 9804
(d) 9809
Ques. Evaluate √6084 by factorization method .
(a) 78
(b) 76
(c) 82
(d) 64
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Ques. What is the square root of 8?
(a) 2.828
(b) 2.928
(c) 2.728
(d) 2.628
Ques. Find the square root of each of 291600 by the long division method:
(a) 520
(b) 620
(c) 580
(d) 540
Ques. What is the square root of 0.0009?
(a) 0.81
(b) 0.27
(c) 0.03
(d) 0.003
Ques. Find the 169 square root.
(a) 21
(b) 11
(c) 17
(d) 13
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Ques. Using the square root ability, find the value 6.328
(a) 2.512
(b) 2.518
(c) 2.517
(d) 2.514
Ques. What is the square root of 85?
(a) 9.519
(b) 9.419
(c) 9.319
(d) 9.219
Ques. Evaluate: √0.9 up to 3 places of decimal.
(a) 0.948
(b) 0.958
(c) 0.938
(d) 0.978
Ques. A general arranges his soldiers in a row to form a perfect square. He finds that in doing so, 60 soldiers are left out. If the total number of soldiers is 8160, find the number of soldiers in each row.
(a) 96 soldiers
(b) 92 soldiers
(c) 90 soldiers
(d) 99 soldiers
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Ques. What is the square root of 61?
(a) 7.910
(b) 7.810
(c) 7.710
(d) 7.610
Ques. The area of a square plot is 2304 m2. Find the side of the square plot.
(a) 44 m
(b) 46 m
(c) 48 m
(d) 42 m
Ques. Find the square root of 1471369.
(a) 1123
(b) 1213
(c) 1323
(d) 1133
Ques. What is the square root of 5?
(a) 2.536
(b) 2.436
(c) 2.336
(d) 2.236
Ques. A school collected $2304 in fees from its students. If each student paid as much fee as there were students in the school, how many students were there in the school?
(a) 48
(b) 46
(c) 44
(d) 42
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Ques. What is the square root of 100 by prime factorization?
(a) 5
(b) 10
(c) 15
(d) 20
Ques. Find the smallest number by which 28812 must be divided so that the quotient becomes a perfect square.
(a) 9
(b) 7
(c) 6
(d) 3
Ques. Find the value of √3 up to three places of decimal.
(a) 1.369
(b) 1.123
(c) 1.634
(d) 1.732
Ques. Find the square root of 625 by prime factorization.
(a) 31
(b) 19
(c) 23
(d) 25
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Ques. What is the square root of 162?
(a) 12.727
(b) 12.827
(c) 12.927
(d) 12.627
Ques. A gardener plants an orchard with 5776 trees. In each row there were as many trees as the number of rows. Find the number of rows.
(a) 76
(b) 96
(c) 66
(d) 186
Ques. Find the value of √ 0.289 / 0.00121.
(a) 170 / 11
(b) 150 / 11
(c) 160 / 11
(d) 140 / 11
Ques. Find the square of 32:
(a) 864
(b) 954
(c) 1056
(d) 1024
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Ques. Find the square root of 729 by prime factorization?
(a) 27
(b) 29
(c) 31
(d) 33
Ques. What is the square root of 80 upto two decimal points?
(a) 8.94
(b) 8.84
(c) 8.74
(d) 8.64
Ques. Find the least square number which is exactly divisible by 10, 12, 15 and 18.
(a) 750
(b) 800
(c) 850
(d) 900
Ques. Find the greatest number of two digits, which is a perfect square.
(a) 64
(b) 100
(c) 99
(d) 81
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Ques. Find the greatest number of 5 digits, which is a perfect square.
(a) 99876
(b) 99866
(c) 99856
(d) 99846
Ques. What is the square root of 108
(a) 10.592
(b) 10.492
(c) 10.392
(d) 10.292
Ques. Find the greatest number of five digits, which is a perfect square.
(a) 99856.
(b) 99876
(c) 94766
(d) 99248
Ques. Some people contributed $1089. Each person gave as many rupees as they were in number. Find their number.
(a) 33
(b) 66
(c) 45
(d) 23
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Ques. Find the least number of 4 digits, which is a perfect square.
(a) 1054
(b) 1044
(c) 1034
(d) 1024
Ques. Find square root of 128.
(a) 11.313
(b) 11.413
(c) 11.513
(d) 11.613
Ques. Find the smallest number that must be added to 1780 to make it a perfect square.
(a) 79
(b) 69
(c) 89
(d) 49
Ques. There are 2401 students in a school. P.T. teacher wants them to stand in rows and columns such that the number of rows is equal to the number of columns. Find the number of rows.
(a) 33
(b) 64
(c) 49
(d) 51
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Ques. What is the square root of 361?
(a) 19
(b) 21
(c) 23
(d) 27
Ques. Find the square of 35
(a) 1265
(b) 1225
(c) 1355
(d) 1335
Ques. Find the cube root of 2744.
(a) 24
(b) 34
(c) 14
(d) 16
Ques. Find the least square number which is exactly divisible by each one of the numbers 15, 18 and 12.
(a) 1800
(b) 3600
(c) 2400
(d) 4200
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Ques. Find the square root of 41?
(a) 6.403
(b) 6.405
(c) 6.407
(d) 6.409
Ques. What is the square root of 28?
(a) 5.491
(b) 5.391
(c) 5.291
(d) 5.191
Ques. Without adding, find the sum (1 + 3 + 5 + 7 + 9 + 11 + 13 + 15 + 17).
(a) 81
(b) 79
(c) 77
(d) 75
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Ques. Find square root of 41
(a) 6.603
(b) 6.503
(c) 6.403
(d) 6.303
Ques. Find the least number of three digits, which is a perfect square.
(a) 222
(b) 128
(c) 100
(d) 102
Ques. What is the square root of 34 upto two decimal points?
(a) 5.53
(b) 5.63
(c) 5.73
(d) 5.83
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Ques. Find the square of 86
(a) 7856
(b) 7786
(c) 7396
(d) 7464
Ques. Find square root of 52?
(a) 7.211
(b) 7.311
(c) 7.411
(d) 7.511
Ques. Find the greatest number of 5 digits, which is a perfect square. 21.
(a) 99886
(b) 99876
(c) 99866
(d) 99856
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Ques. What is the square root of 29?
(a) 5.585
(b) 5.485
(c) 5.385
(d) 5.285
Ques. Find the least number of six digits, which is a perfect square.
(a) 100499
(b) 100489
(c) 100479
(d) 100469
Ques. Square root of 21 ?
(a) 1.532
(b) 1.632
(c) 1.732
(d) 1.832
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Ques. The area of a square playground in 256.6404 square metres. Find the length of one side of the playground.
(a) 16.02 metres
(b) 17.02 metres
(c) 18.02 metres
(d) 19.02 metres
Ques. What is the square root of 14?
(a) 3.441
(b) 3.541
(c) 3.641
(d) 3.741
Ques. Which of the following numbers are squares of even numbers?
(a) 324
(b) 6561
(c) 4489
(d) 373758
Ans: (a)
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Ques. What will be the square root of 26?
(a) 5.099
(b) 5.199
(c) 5.299
(d) 5.399
Ques. Express the following as the sum of two consecutive integers: 192
(a) 180 + 181
(b) 60 + 61
(c) 84 + 85
(d) 220 + 221
Ques. Find the least must be added to 7900 to obtain a perfect square.
(a) 67
(b) 87
(c) 97
(d) 77
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Ques. Square root of negative 1?
(a) i
(b) 1
(c) 0
(d) -1
Ques. Find the square root of 7 correct upto two decimal places.
(a) 2.65
(b) 2.75
(c) 2.85
(d) 2.95
Ques. Find the square root of 60?
(a) 7.945
(b) 7.845
(c) 7.745
(d) 7.645
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Ques. A welfare association collected $202500 as a donation from the residents. If each paid as many rupees as there were residents, find the number of residents.
(a) 480
(b) 470
(c) 460
(d) 450
Ques. Find the square root 2.
(a) 1.314
(b) 1.414
(c) 1.514
(d) 1.614
Ques. Find the square roots of 9216 by the Prime factorisation method.
(a) 96
(b) 106
(c) 116
(d) 126
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Ques. Find square root of 324.
(a) 18
(b) 16
(c) 14
(d) 22
Ques. What is the square root of 96?
(a) 9.99
(b) 9.89
(c) 9.79
(d) 9.69
Ques. Find the smallest number by which 180 must be multiplied so that it becomes a perfect square. Also find the square root of the perfect square so obtained.
(a) 50
(b) 40
(c) 30
(d) 20
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Ques. Square root of 35?
(a) 5.916
(b) 5.816
(c) 5.716
(d) 5.616
Ques. Find square root of 89.
(a) 9.333
(b) 9.433
(c) 9.533
(d) 9.633
Ques. Find the smallest number by which 396 must be multiplied so that the product becomes a perfect square.
(a) 13
(b) 19
(c) 16
(d) 11
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Ques. What is the square root of 64 by prime factorization?
(a) 9.4
(b) 8
(c) 8.4
(d) 9.4
Ques. Find the square root of 98.
(a) 9.899
(b) 9.799
(c) 9.699
(d) 9.599
Ques. A PT teacher wants to arrange maximum possible number of 6000 students in a field such that the number of rows is equal to the number of columns. Find the number of rows if 71 were left out after arrangement.
(a) 77 rows
(b) 73 rows
(c) 71 rows
(d) 69 rows
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Ques. Find square root of 1000 by prime factorization.
(a) 100
(b) 25
(c) 31.622
(d) 36.422
Ques. Find the square root of 58 upto three decimal points?
(a) 7.615
(b) 7.715
(c) 7.815
(d) 7.915
Ques. Find the square roots of 169 by the method of repeated subtraction.
(a) 13
(b) 17
(c) 19
(d) 21
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Ques. 225 square root?
(a) 13
(b) 17
(c) 15
(d) 19
Ques. What square root of 37 upto two decimal points?
(a) 6.08
(b) 6.18
(c) 6.19
(d) 6.09
Ques. Find square root of 3 up to three decimal places.
(a) 1.739
(b) 1.832
(c) 1.933
(d) 1.732
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Ques. What is the square root of 81?
(a) 13
(b) 11
(c) 7
(d) 9
Ques. Find the square root of 180.
(a) 13.416
(b) 14.416
(c) 15.416
(d) 16.416
Ques. What is the square root of 68?
(a) 8.546
(b) 8.446
(c) 8.346
(d) 8.246
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Ques. Find the square root of 576.
(a) 24
(b) 25
(c) 26
(d) 27
Square Root Chart:
