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1) If 4(x-y) = 256 and 4(x+y) = 4096, then x is equal to:A) 2 B) 4 C) 6 D) 5
Answer & Explanation
Answer: 5 (4(x-y) = 256 = 44 x - y = 4
4(x+y) = 4096 = 46 x + y = 6 ....(ii)
On solving (i) and (ii), we get x = 5 )
2) (256).09? * (256).16? = ?A) 1 B) 2 C) 4 D) 3
Answer & Explanation
Answer: 4 ((256).09? x (256).16? = (256)(.16 +.09)? = 256(1/4)
= (256).25?
= (256)25/100?
= (256)(1/4)
= (44? )(1/4)?
= 41?
= 4)
3) 1/(1 + a(n - m) ) + 1/(1 + a(m-n)) = ?A) 2 B) 1 C) 4 D) 3
Answer & Explanation
Answer: 1 ( 1/(1 + a(n - m) ) + 1/(1 + a(m-n)) =
[1/( (1 + (an/ am))] + [1/( (1 + (am/ an))]
= am + an/ am + an =1
)
4) If m and n are whole numbers such that mn = 256, the value of (m - 1)n + 1 is:A) 3375 B) 2275 C) 225 D) 400
Answer & Explanation
Answer: 3375 (We know that 162 = 256
Putting m = 16 and n = 2, we get:
(m - 1)n+1 = (16 - 1)(2+1) = 153 = 3375
)
5) If 4a = 4096, then the value of 4(a-3) is:A) 4 B) 256 C) 64 D) 16
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