Number System If a + b = 16 and ab = 68, what is the value of a² + b² ? 112 120 116 124 112 120 116 124 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP a + b = 16 Therefore, (a+b)² = (16)² = 256 a² + b² + 2ab = 256Therefore, a² + b² = 256 - 2 x 68Therefore, a² + b² = 256 - 136 = 120
Number System The sum of two numbers is 165 and the difference between them is 9. What is the average of these two numbers ? 85.5 83.5 82.5 84.5 85.5 83.5 82.5 84.5 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP x + y = 165x - y = 92x = 174 ∴ x = 87 and y = 78∴ x + y/2 = 165/2 = 82.5
Number System The difference between 68% of a number and 35% of the same number is 1216. What is 28% of the number ? 1043.75 1027.75 1031.75 1037.75 1043.75 1027.75 1031.75 1037.75 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the no. be xTherefore 68x / 100 - 35x / 100 = 1216 Therefore x = 1216 x 100 / 33Therefore 28% of x = 28x / 100 = 1216 x 100 / 33 x 28 / 100= 1216 x 100 x 28 / 33 x 1/100 = 1031.75
Number System 75% of 250 - ?% of 380 = 54.5 31 33 39 35 31 33 39 35 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 250 x 75/100 - 380 x ?/100 = 54.5= 250 x 75 - 380 x ?= 54.5 x 100= 18750 - 380 x ?= 5450= 380 x? = 18750 - 5450= 13300= ? = 13300/380 = 35
Number System ind the number, difference between number and its 3/5 is 50 123 120 124 125 123 120 124 125 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the number = x,Then, x-(3/5)x = 50,=> (2/5)x = 50 => 2x = 50*5,=> x = 125
Number System 1260 x 1.45 - 888 x 1.75 = ? 295 256 273 367 295 256 273 367 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP ? = 1260 x 1.45 - 888 x 1.75= 1827 - 1554 = 273
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