squareroots and cuberoots Model Questions & Answers, Practice Test for ssc cgl tier 1 2023

Question :16

$(3^2 × 4^2 × 5)$ ÷ 36 = $(?)^2$ – 80

Answer: (d)

$(?)^2$ = 80 + ${9 × 16 × 5}/36$ = 80 + 20 = 100

∵ ? = $√{100}$=10

Question :17

$√{7 × 447 ÷ 21 + 73 - 26}$ = ?

Answer: (e)

? = $√{7× {447/21} + 73 - 26} = √{149 + 73 - 26} = √{196}$ = 14

Question :18

The value of $√{388+√{127} + √{289}}$is

Answer: (c)

$√{388+√{127+√289}}$

= $√{388+√{127+√17}}$ [∵ $√289$ = 17]

= $√{388+√144}$ [∵ $√144$ = 12]

= $√{388+12}$=√400

= 20 [∵ $√400$ = 20]

Question :19

If the square of a number is subtracted from 4052 and the difference is multiplied by 15, the answer so obtained is 41340. What is the number?

Answer: (b)

Let the number be x.

According to the question.

(4052 – $x^2$ ) × 15 = 41340

⇒4052 - $x^2 = {41340}/15=2756$

⇒$x^2$ = 4052 – 2756 = 1296

∴ $x = √1296$ = 36

Question :20

$√{217 + √52 + √12}$ = ?

Answer: (d)

$√{217 + √64} ⇒√{217 + 8} = √225$ = 15

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