Answer: Option A. -> 0.8

\(\frac{0.0203\times2.92}{0.0073\times14.5\times0.7} = \frac{203\times292}{73\times145\times7} = \frac{4}{5} = 0.8\)

Answer: Option C. -> 100.9

\(\frac{4.036}{0.04} = \frac{403.6}{4}= 100.9\)

Answer: Option D. -> 1.28

3.87 - 2.59 = (3 + 0.87) - (2 + 0.59)

= \(\left(3+\frac{87}{99}\right)-\left(2+\frac{87}{99}\right)\)

= \(1+\left(\frac{87}{99}-\frac{59}{99}\right)\)

= \(1+\frac{28}{99}\)

= 1.28

Answer: Option C. -> 0.9
 -   Let   .009   = .01;     Then x =  .009   =  .9   = 0.9 x .01

Answer: Option C. -> 0.04
 -    Given expression = (11.98)2 + (0.02)2 + 11.98 x x.
  For the given expression to be a perfect square, we must have
  11.98 x x = 2 x 11.98 x 0.02 or x   = 0.04

Answer: Option D. -> 47.95
 -    Let 3889 + 12.952 - x = 3854.002.
  Then x = (3889 + 12.952) - 3854.002
   = 3901.952 - 3854.002
   = 47.95.

Answer: Option C. -> 5
 -   Given expression = (2.644)2 - (2.356)2 2.644 - 2.356 = a2 - b2 a - b  = (a + b) = (2.644 + 2.356) = 5  

Answer: Option A. -> 586.58
 -     792.02 + 101.32   893.34         893.34 - 306.76   586.58    

Answer: Option B. -> 0.09

 -     0.2 x 0.2 + 0.02 x 0.02 - 0.4 x 0.02 = 0.2 x 0.2 + 0.02 x 0.02 - 2 x 0.2 x 0.02     = (a2 + b2 - 2ab) = (a - b)2 = (0.2 - 0.02)2       = (0.18)2          Given expression = (0.18 x 0.18) 0.36  = 0.09

• 0.2 x 0.2 + 0.02 x 0.02 - 0.4 x 0.02 0.36
• 0.2 x 0.2 = 0.04
• 0.02 x 0.02 = 0.0004
• 0.4 x 0.02 = 0.008
• Now, 0.04 + 0.0004 - 0.008 = 0.0396
• 0.0396 = 0.09
• Therefore, the answer is 0.09
Hence, Option B . 0.09 is the correct answer.

If you think the solution is wrong then please provide your own solution below in the comments section .

Answer: Option C. -> 3120
 -   Given, 52416 312  = 168     52416 168  = 312     Now, 52.416 0.0168 = 524160 168 =   52416 168  x 10    = (312 x 10) = 3120