squareroots and cuberoots Model Questions & Answers, Practice Test for ssc cgl tier 1 2023
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Squareroots & Cuberoots
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 | |
| 1 | 34969 1 |
| 28 | 249 224 |
| 367 | 2569 2569 |
| x |
⇒$√{34969}$ = 187
Hence, the number of rows = 187
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
$(41)^2 + (38)^2 × (0.15)^2$ = ?
Answer: (a)
? = $(41)^2 + (38)^2 × (0.15)^2$
1681 + 1444 × 0.0225 = 1681 + 32.49 = 1713.49
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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