Surds & Indices - MCQ 1
15 Questions MCQ Test Quantitative Ability for SSC CHSL | Surds & Indices - MCQ 1
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Let (17)3.5 x (17)x = 178.
Then, (17)3.5 + x = 178.
∴ 3.5 + x = 8
⇒ x = (8 – 3.5)
⇒ x = 4.5
Given that 100.48 = x, 100.70 = y and xz = y2, then the value of z is close to:
5a = 3125 ⇔ 5a = 55
⇒ a = 5.
∴ 5(a – 3) = 5(5 – 3) = 52 = 25.
3x – y = 27 = 33 ⇔ x – y = 3 ….(i)
3x + y = 243 = 35 ⇔ x + y = 5 ….(ii)
On solving (i) and (ii), we get x = 4.
(256)0.16 x (256)0.09 = (256)(0.16 + 0.09)
= (256)0.25
= (256)(25/100)
= (256)(1/4)
= (44)(1/4)
= 44(1/4)
= 41
= 4
If m and n are whole numbers such that mn = 121, the value of (m – 1)n + 1 is:
We know that 112 = 121.
Putting m = 11 and n = 2, we get:
(m – 1)n + 1 = (11 – 1)(2 + 1) = 103 = 1000.
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