Fractions and Decimals (44.99)² - (15.01)² = ? 1100 1800 700 1500 1100 1800 700 1500 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP a² - b² = (a + b)(a - b)Hence, (44.99)² - (15.01)² = (44.99 + 15.01)(44.99 - 15.01)= 60 x 29.98 = 60 x 30 = 1800
Fractions and Decimals A vessel, full of water, weighs 16.5 kg. When the vessel is (1/4)th full, it weight 5.25 kg. Then, weight of the empty vessel (in kg) is ? 1.5 kg 100.5 kg 10.5 kg 1000.5 kg 1.5 kg 100.5 kg 10.5 kg 1000.5 kg ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the weight of vesel = x kg Then, 1/4 of volume of water = (5.25 - x)kg Full volume of water = (16.5 - x)∴ 4(5.25 - x) = (16.5 - x)⇒ 21 - 4x = 16.5 - x ⇒ 21 - 16.5 = 3x ∴ x = 4.5/3 = 1.5 kg
Fractions and Decimals 16.7 + 12.38 - ? =10.09 14.99 20.99 16.99 18.99 14.99 20.99 16.99 18.99 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let 16.7 + 12.38 - x =10.09∴ x = 16.7 + 12.38 - 10.09 = 18.99
Fractions and Decimals When 52416 divided by 312 , the quotient is 168. What will be the quotient when 52.416 is divided by 0.0168 ? 31200 312 3120 312000 31200 312 3120 312000 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Given, 52416 / 312 = 168.<=> 52416 / 168 = 312.52.416 / 0.0168 = 524160 / 168 = 3120.
Fractions and Decimals If √0.05 x 0.5 x a = 0.5 x 0.05 x √b, then a/b = ? .0025 .025 .00025 25 .0025 .025 .00025 25 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 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
Fractions and Decimals (.356 x .365 - 2 x .365 x .106 + .106 x .106) / (.632 x .632 + 2 x .632 x .368 +.368 x .368) = ? .625 6.25 62.5 .0625 .625 6.25 62.5 .0625 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Given expression = [(.356)² -2 x .356 x .106 + (.106)²] / [(.632)²+2 x .632 x .368 +(.368)²]= (a² -2ab + b²) / (c²+2cd+d²)= (a - b)² / (c + d)²= (.356 -.106)² / (.632 + .368)²= (.25)² = .0625
EXAMIANS