Squareroots & Cuberoots Model Questions Set 1 Practice Questions Answers Test With Solutions & More Shortcuts

SQUAREROOTS & CUBEROOTS PRACTICE TEST [1 - EXERCISES]

Squareroots & Cuberoots Model Questions Set 1

Question : 1

$√{450 +890 + 685}$ = ?

a) 45

b) 43

c) 55

d) 53

e) None of these

Answer: (a)

$√{450 + 890 + 685} = √{2025}$ = 45

Question : 2

$√54 × √2120 ÷ √460$ = ?

a) 140

b) 120

c) 160

d) 180

e) 200

Answer: (c)

73.86 × 46.04 ÷ 21.44 = ?

? = 74 × 46 ÷ 22

? = 154.7 ≈ 160

Question : 3

The smallest number by which 3888 must be divided so that the resulting number is a perfect square is

a) 6

b) 2

c) 3

d) None of these.

Answer: (c)

Resolving 3888 into its prime factors, we find that

3888=2×2×2×2×3×3×3×3×3

3888 = (2×2) × (2×2) × (3×3) × (3×3) ×3

Here we find that prime factor 3 is appearing alone.

So, if we divide 3888 by 3, we will get a perfect square number

Question : 4

$√{12 × 145 ÷ 6 + 34}$ = ?

a) $(324)^2$

b) – 18

c) 18

d) $√18$

e) None of these

Answer: (c)

Question : 5

1190 ÷ $√7225$ × ? = 3094 =

a) 121

b) 221

c) 214

d) 241

e) None of these

Answer: (b)

$1190/√{7225}$ ×? = 3094 = or, ${1190 × ?}/85$ = 3094

or, ? = ${3094 × 85}/1190$ = 221

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