? 176 + ?2401 =?

Correct Answer: 16

Explanation:

?248 + ?(52 + ?144)
= ?248 + ?(52 + 12)
=?248 + ?64
= ?248 + 8
= ?256
= 16

Correct Answer: 42

Explanation:

74088 = 2 x 2 x 2 x 3 x 3 x 3 x 7 x 7 x 7
= (2x2) x (3x3) x (7x7) x (2x3x7)
Least number which should be multiplied to 74088 to make it a Perfect square = 2 x 3 x 7 = 42

Correct Answer: .03

Explanation:

(.000027)^1/3
= (27 / 1000000)^1/3
= (3³)^1/3 / (10⁶)^1/3
= 3 / 100
= .03

Correct Answer: 0.347

Explanation:

?0.121 = ?0.1210
= ?1210/10000
= ?1210 / 100
= 34.7 / 100
= 0.347.

Correct Answer: 0.252

Explanation:

?0.064 = ?0.0640
= ?640/10000
= ?640 / 100
= 25.2/100
= 0.252.

Correct Answer: 2

Explanation:

(?32 + ?48) / (?8 + ?12)
= (?16 x 2 + ?16 x 3) / (?4 x 2 + ?4 x 3)
= (4?2 + 4?3) / (2?2 + 2?3)
= 4(?2 + ?3) / 2(?2 + ?3 ) = 2

Correct Answer: 0.318

Explanation:

1/ (?3 + ?2)
= (?3 - ?2) / [ 1/ (?3 - ?2) x (?3 + ?2)]
= (?3 - ?2) / (3 - 2)
= (1.7732 - 1.414) = 0.318

Correct Answer: None of these

Explanation:

=?2/3 + 3?3/2
= ?2/?3 x ?3/?3 + 3?3/?2 x ?2/ ?2
= ?6/3 + 3?6/2
= (2.55 / 3) + [(3 x 2.55) / 2]
= 2.55/3 + 7.65/2
= (5.10 + 22.95)/6
= 28.05/6
= 4.675

Correct Answer: 12

Explanation:

?2ⁿ = 64
? 2^n/2 = 2⁶
? n/2 = 6
? n = 12

Correct Answer: 3

Explanation:

Given expression = ?(121 x 9) / (11 x 11)
= ?9
= 3