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

Question :26

A gardener plants 34969 mango trees in his garden and arranges them so that there are so many rows as there are mango trees in each row. The number of rows is

Answer: (b)

Number of rows = $√{34969}$

 187
134969
1
28249
224
3672569
2569
 x

⇒$√{34969}$ = 187

Hence, the number of rows = 187

Question :27

$(34.12)^2$ – 7396 = ?

Answer: (c)

Question :28

If $(22)^3$ is subtracted from the square of a number, the answer so obtained is 9516. What is the number?

Answer: (a)

Let the number be x.

Now, according to the question,

$x^2 – (22)^3$ = 9516

or, $x^2$ = 9516 + $(22)^3$ = 9516 + 10648 = 20164

⇒$x = √{20164}$ = 142

Question :29

$(41)^2 + (38)^2 × (0.15)^2$ = ?

Answer: (a)

? = $(41)^2 + (38)^2 × (0.15)^2$

1681 + 1444 × 0.0225 = 1681 + 32.49 = 1713.49

Question :30

A 8 × 6 × 4 $cm^3$ metallic cube is melted. The minimum volume of molten metal which should be added to mould it into a cube whose edge is 'x' where 'x' is an integer, is

Answer: (d)

Volume of given cube = 8 × 6 × 4 = 192 $cm^3$

$5^3$ < 192 < $6^3$

125 < 192 < 216

we add 216 – 192 = 24 $cm^3$ volume

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