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 Find the smallest number which should be multiplied with 520 to make it a perfect square. 120 55 None of these 30 120 55 None of these 30 ANSWER DOWNLOAD EXAMIANS APP
Number System On converting the following base-2 numeral in base ten, 1101101, we get 106 108 109 107 106 108 109 107 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 109
Number System If the sum of 4 consecutive odd numbers is 104, what will be the third number if they are arranged in ascending order ? 28 29 30 27 28 29 30 27 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the consecutive odd number be x, x + 2, x + 4 and x + 6 respectively.According to the question x + x + 2 + x + 4 + x + 6 = 104 = 4x + 12 = 104 = 4x = 104 - 12 = 92∴ x = 92/4 = 23∴ Required number = x + 4= 23 + 4 = 27
Number System A number when, 28 subtracted from it reduces to its one third. What is the value of 50% of that number? 21 84 42 24 21 84 42 24 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 2/3 x = 28 => x = 4242 * 1/2 = 21
Number System What number should come in the place of (?) in the following number series ? 1, 4, 9, 25, 49, ?, 169, 289, 361 121 225 11 321 121 225 11 321 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP The series is (Prime No.)²So it is (11)² = 121