1.52 x 0.0225 = ?

Correct Answer: a=11,b=-6

Correct Answer: 12

Explanation:

Let  x 128 = 162 x

 

Then,  $$\begin{gathered} x 2 = 128 × 162 = 64 × 2 × 18 × 9 \\ = 8 2 × 6 2 × 3 2 = 8 × 6 × 3 = 144 \end{gathered}$$

 

? x = 12

Correct Answer: 14.9985

Explanation:

Given exp =  18225 10 2 + 18225 10 4 + 18225 10 6 + 18225 10 8

 

               =  18225 10 + 18225 10 2 + 18225 10 3 + 18225 10 4

 

               =  135 10 + 135 100 + 135 1000 + 135 10000

 

               = 13.5+1.35+0.135+0.0135=14.9985

Correct Answer: 3.5

Explanation:

Let the number is = x

(89)² + x² = 16202

x² = 8281

x = 91

=> (1/26) of 91 = 3.5

Correct Answer: None of these

Correct Answer: 22.35

Explanation:

3 5 + 125 = 17 . 88 ? 3 5 + 5 5 = 17 . 88

? 5 = 2 . 235

 

? 80 + 6 5 = 4 5 + 6 5 = 10 5 = 10 × 2 . 235 = 22 . 35

Correct Answer: 0.3

Explanation:

$$\begin{gathered} 0 . 01 + 0 . 0064 = 0 . 01 + 64 10000 \\ = 0 . 01 + 8 100 = 0 . 01 + 0 . 08 = 0 . 3 \end{gathered}$$

Correct Answer: 4/3

Explanation:

80 - 112 45 - 63 = 16 × 5 - 16 × 7 9 × 5 - 9 × 7 = 4 5 - 4 7 3 5 - 3 7

 

= 4 5 - 7 3 5 - 7 = 4 3

Correct Answer: 87

Explanation:

4 b = 6 c ? b = 3 2 c a n d 3 a = 4 b ? a = 4 3 b = 4 3 ( 3 2 c ) = 2 c 

a + b + c = 27 29 ? 2 c + 3 2 c + c = 27 29 ? c = 6 29

 

  ? a 2 + b 2 + c 2 = ( a + b + b ) 2 - 2 ( a b + b c + c a ) 

 

= ( 27 29 ) 2 - 2 2 c × 3 2 c + 3 2 c × c + c × 2 c 

 

  = 729 × 29 - 2 × 13 2 c 2

= 87

Correct Answer: 2

Explanation:

Given that  x = 2 + 2 2 3 + 2 1 3

 

So x - 2 =  2 2 3 + 2 1 3

 

Now cubing on both sides, we get

 

 

=>  x 3 - 8 - 6 x 2 + 12 x = 4 + 2 + 6 ( x - 2 )

 

Therefore,  x 3 - 6 x 2 + 6 x = - 6 + 8 = 2