Squares, Square root , cube and cube root

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1) 3(x−2)²=507 then x =

2 points

(a) 13

(b) 12

(d) 14

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2) An odd number when multiplied by itself gives 2401. Find the number.

2 points

(a) 41

b) 39

(d) 51

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3) Which of the following is not a perfect square?

2 points

(a) 16,384

(b) 23,857

(d) 11,025

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4) The least 4 digit number which is a perfect square is

2 points

a) 1024

(b) 1016

(d) 1044

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5) The square of a proper fraction is always _______ to itself.

2 points

a) Greater than

b) Less than

c) Equal

d) None of these

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6) A man purchased a plot which is in the shape of a square. The area of the plot is 12 hectares 3201 m2. Find the length of each side of the plot (in m).

2 points

(a) 349

(b) 351

(d) 361

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7) The cube root of the number 10,648 is

2 points

(a) 42

(b) 38

(d) 22

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8) The cube of a number x is nine times of x, then

find x if x ≠0 and x ≠-3.

2 points

(a) 8

(b) 2

(d) 3

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9) The cube of a number ending in 3 ends in ______.

2 points

a) 3

b) 7

c) 9

d) 1

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10) Which of the following number becomes a perfect
cube when we divide the number by 5?

2 points

a) 25

(b)125

(d) 3125

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