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

Question :21

$√ {12 × 184 ÷ 23 + 26 - 73}$ = ?

Answer: (c)

$√{12 × 184/23 + 26 - 73}$ = ?

= $√{96+26-73} = ? = √{122-73} = √{49}$ = 7

Question :22

$√{17 + √51 + √152 + √289}$ = ?

Answer: (a)

$√{17 + √51 + √152 + √289}$

= $√{17 + √51 + √{152 + 17} = √{17 + √51 + √169}$

= $√{17 + √51 + √13} = √{17 + 8} = √25$ = 5

Question :23

$^2$$√2230$ = ?

Answer: (e)

$(45)^2$ < 2230 < $(50)^2$

Question :24

The least square number exactly divisible by 4, 6, 10, 15 is

Answer: (d)

Least number which is divisible by 4, 6, 10, 15 is

LCM (4, 6, 10, 15)

LCM (4, 6, 10, 15) = 60

60 = 2 × 2 × 3 × 5

Here we find that 3 and 5 occurs alone.

So, if we multiply 60 by

3 × 5 = 15, we get a perfect square no.

∴ 60 × 3 × 15 = 900

900 is the least square no. which is divisible by 4, 6, 10, 15.

Question :25

$?/√25 = {15 × 4 - 40}/2$

Answer: (d)

? = 5 ×$({60-40}/2)$ = 5×$20/2$=50

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