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

Question :6

($2 √{392}$ - 21) + $(√8 - 7)^2$ = $(?)^2$

Answer: (e)

$?^2 = 2√{48 × 8} = – 21 + 8 + 49 - 14√8$

= $14√8 – 21 + 57 – 14√8 = 36 = 6^2$

∴? = 6

Question :7

$(√{7921} - √{2070.25}) × 1/4$ = ?

Answer: (b)

? = $(√{7921} - √{2070.25}) × 1/4$

= $(89 - 45.5)/4 = {43.5}/4 ≈ {44}/4$ = 11

Question :8

$^3$$√{?}$ = (756 × 67) ÷ 804

Answer: (a)

$({756 × 67}/804)^3$ = 250047

Question :9

Value of $^3√{392}×^3√{448}$is

Answer: (d)

$^3$$√392×^3√448=^3√{2×2×2×7 ×7}×^3√{2×2×2×2×2×2×7}$

= $^3$$√{(2×2×2)×(2×2×2)×(2×2×2)×(7×7×7)}$

=2×2×2×7[∵ $^3√p×^3√q=^3√{pq}$]

=56

Question :10

$?/√36 = √25/{(11 × 3 - 18)}$

Answer: (b)

$?/√36=√25/(11 × 3 - 18)⇒?/6=5/{33 - 18} = 5/15=1/3$

∴= $6/3$ = 2

ssc cgl tier 1 2023 IMPORTANT QUESTION AND ANSWERS

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