Number System If a + b = 16 and ab = 68, what is the value of a² + b² ? 116 124 120 112 116 124 120 112 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
Number System The difference between 45% of a number and 18% of the same number is 145.8. What is 30% of that number ? 162 245 141 188 162 245 141 188 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the number be x.45% of x - 18% of x = 145.8∴ x/100 (45 - 18) = 145.8∴ x = 145.8 x 100/27 = 540∴ 30% of 540 = 540 x 30/100 = 162
Number System Three times the first of three consecutive odd integers is 3 more than twice the third. The third integer is: 15 13 9 11 15 13 9 11 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the three integers be x, x + 2 and x+ 4.Then,3x = 2(x + 4) + 3x = 11Third integer = x + 4 = 15.
Number System If the average of two numbers is 88.5 and one number is 5.5 less than the average. Find out the next number. 91 97 94 86 91 97 94 86 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 94
Number System Complete the series : 1, 2, 3, 5, 8, 13 .... 9 1 4 7 9 1 4 7 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 1
Number System √9216 + √15376 = ? 231 220 224 227 231 220 224 227 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP ? = √9216 + √15376= 96 + 124= 220