If ? 3 =1.732 and ? 2 = 1.414, the value of 1/(? 3 + ? 2) is?

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: 15

Explanation:

?176 + ?2401
= ?176 + 49
= ?225 = 15

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: 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

Correct Answer: 1

Explanation:

?1 + 27/169 = (1 + N/13)
? ?196/169 = (1 + N/13)
? 14/13 = (1 + N/13)
? N/13 = (14/13 - 1 ) = 1/13
? N = 1

Correct Answer: 4

Explanation:

Let given expression = x
Then, ?12 + x = x
? 12 + x = x²
? x² - x - 12 = 0
? (x - 4) (x + 3) = 0
So, x = 4 (neglecting x = -3)