Given expression = [(3.537 - .948)² + (3.537 + .948)²] / [(3.537)² + (.948)²]
= [(a - b)² + (a + b)²] / (a² + b²)

Correct Option: D

Given expression = [(3.537 - .948)² + (3.537 + .948)²] / [(3.537)² + (.948)²]
= [(a - b)² + (a + b)²] / (a² + b²)

(Where a = 3.537 and b = 0.948)
= 2(a² +b²) / (a² +b²)
= 2

a / b = 0.04 / 1.5
= 4 / 150
= 2 / 75

∴ Given Exp. (b - a) / ( b + a)
= (1- a/b ) / (1 + a/b)

Correct Option: B

a / b = 0.04 / 1.5
= 4 / 150
= 2 / 75

∴ Given Exp. (b - a) / ( b + a)
= (1- a/b ) / (1 + a/b)
= (1- 2 / 75) / (1 + 2 / 75)
= ( 73/75 ) / ( 77/75)
= 73/77

Given expression = √0.5 x .5 x a = .5 x .05 x √ b
⇒ √.025 x a = 0.25 x ⇒ b
⇒ 0.025a = 0.25 x .025 x b
∴ a/b = (.025 x .025) /.025
= .025

Correct Option: B

Given expression = √0.5 x .5 x a = .5 x .05 x √ b
⇒ √.025 x a = 0.25 x ⇒ b
⇒ 0.025a = 0.25 x .025 x b
∴ a/b = (.025 x .025) /.025
= .025

Given expression = (.23 - .023) / ( .0023 / 23 )
= .207 / (.0023 / 23)
= .207 / .0001
=.2070 / .0001

Correct Option: C

Given expression = (.23 - .023) / ( .0023 / 23 )
= .207 / (.0023 / 23)
= .207 / .0001
=.2070 / .0001
= 2070

0.6 + .7 + .8 + .3
= ( 6/9 + 7/9 + 8/9 + 3/9)

Correct Option: C

0.6 + . 7 + .8 + .3
= ( 6/9 + 7/9 + 8/9 + 3/9)
= 24 / 9
= 8 / 3
= 2²/₃