Number System If the sum and difference of two numbers are 20 and 8 respectively, then the difference of their square is: 12 28 160 180 12 28 160 180 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the numbers be x and y. Then, x + y = 20 and x - y = 8x2 - y2 = (x + y)(x - y) = 20 * 8 = 160.
Number System What is the average of the following set of numbers ? 173, 192, 198, 204, 211, 223, 227 234 210 204 222 234 210 204 222 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Avg = 173 + 192 + 198 + 204 + 211 + 223 + 227/7 = 1428/7 = 204
Number System In a pair of fractions, fraction A is twice the fraction B and the product of two fractions is 2/25. What is the value of fraction A? Data inadequate 2/5 1/25 1/5 Data inadequate 2/5 1/25 1/5 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP A = 2B => B = 1/2 A, so, AB = 2/25 1/2 A2 = 2/25A2 = 4/25 A = 2/5
Number System If a + b = 16 and ab = 68, what is the value of a² + b² ? 120 124 116 112 120 124 116 112 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
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