squareroots and cuberoots Model Questions & Answers, Practice Test for ssc cgl tier 1 2023
ssc cgl tier 1 2023 SYLLABUS WISE SUBJECTS MCQs
Number System
Ratio Proportion & Partnership
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The smallest number which when multiplied with 7200 will make the product a perfect cube, is
Answer: (c)
Expressing 7200 as its prime factors
7200 = 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5
7200 = (2 × 2 × 2) × (2 × 2) × (3 × 3) × (5 × 5)
We find that prime factors 2, 3 & 5 appear in groups of two,
so to make the given no. perfect cube, we must multiply it
with 2 × 3 × 5 = 30
A gardener arranges plants in rows to form a square. He finds that in doing so 15 plants are left out. If the total number of plants are 3984, the number of plants in each row are,
Answer: (a)
Gardener arranges (3984 – 15) = 3969 plants in different rows to form a square.
Let no. of plants in each row be 'x'
∴ x × x=3969
$x^2$=3969⇒x=63
$(√5 -1)^2$ = ? - 2 $√5$
Answer: (b)
∴ ? -2$√5 = (√5-1)^2 = 5 + 1 - 2√5$
∴ ? = 6
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