[{(0.1) ² - (0.01) ²} / {0.0001 + 1 }] is equal to?

Correct Answer: 1.5

Explanation:

Given expression = 3 / [ 3+ {(0.3 - 3.03) / (3 x 0.91)}]
= 3 / [3- { 273 / (3 x 91)}]
= 3 / (3-1)
= 3 / 2
= 1.5

Correct Answer: 1

Explanation:

Given Expression = ( a³ + b³ )/ (a² + b² - ab) where = 0.87 and b = 0.13
= [(a + b ) (a² + b² - ab)] / (a² + b² - ab)
= a + b
= 0.87 + 0.13
= 1

Correct Answer: 1

Explanation:

Given Expression = (1.04)² + 1.04 x 0.04 + (0.04)² / (1.04)³ - (0.04)³
= (a² + ab + b²) / (a³ - b³)
= (a² + ab + b²) / [(a-b) (a² + ab + b²)]
= 1 / (a - b)
= 1/ (1.04 - 0.04)
= 1

Correct Answer: 0.14

Explanation:

Given expression
= [(0.47)³ - (0.33)³] / [(0.47)² + 0.47 x 0.33 + (0.33)²]
= [a³ - b³ ] / [ a² + ab + b²]
= [(a-b) (a² + ab + b²)] / [(a² + ab + b²)]
= (a - b)
= (0.47 - 0.33)
= 0.14

Correct Answer: .8

Explanation:

Given expression
= [(0.5)³ + (0.3)³] / [(0.5)² - 0.5 x 0.3 + (0.3)²]
= [a³ + b³] / [a² - ab + b²]
= [(a + b)(a² - ab + b²)] / [a² -ab + b²]
= a+b
= 0.5 + 0.3
= 0.8

Correct Answer: 27

Explanation:

The given number are 3.00, 0.09 and 2.70
LCM = LCM of numerator / HCF of denominator
L. C. M of 300, 9 and 270 is 2700
? Required L.C.M = 27.00 = 27

Correct Answer: .18

Explanation:

The Given Number are 1.08, .36 and 0.9
G. C. D of 108, 36 and 90 is 18
? Required G. C. D. = 0.18

Correct Answer: 3/22

Explanation:

= 0.136
= (136 - 1) / 990
= 135 / 990
= 3 / 22

Correct Answer: 1.01 = ?

Explanation:

Given Exp. = 0.63 + 0.37
= 63/99 + 37/99
= 100 / 99
= 1¹/₉₉
= 1.01

Correct Answer: 0.4801

Explanation:

Given Exp= 0.3467 + 0.1333
= (3467 - 34) / 9900 + (1333 -13) / 9900
= 3433 +1320 / 9900
= 4753 / 9900
= (4801 - 48) / 9900
= 0.4801