Number System The average of five consecutive even numbers A, B, C, D and E is 42. What is the product of B and D ? 1760 2476 4589 3289 1760 2476 4589 3289 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP A + B + C + D + E/5 = 42∴ C = 42, ∴ B = 40, ∴ D = 44∴ B x D = 40 x 44 = 1760
Number System If the difference between a number and its three fifths is 62, what is the number ? 145 175 165 155 145 175 165 155 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the number be x.∴ x - 3x/5 = 62or x = 62 x 5/2 = 155
Number System Find the number of factors of 300 excluding 1 and itself. 15 18 14 16 15 18 14 16 ANSWER DOWNLOAD EXAMIANS APP
Number System If the sum of four consecutive numbers is 370, which the following is the third lowest number among them 92 89 90 91 92 89 90 91 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the four consecutive numbers be x, (x + 1), (x + 2), (x + 3) thenx + (x + 1) + (x + 2) + (x + 3) = 370= 4x + 6 = 370∴ x = 364/4 = 91∴ third lowest number among them = x + 1= 91 + 1 = 92
Number System The sum of four consecutive even numbers is 36. Find the sum of the squares of these numbers? 252 344 296 388 252 344 296 388 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the four numbers be x, x + 2, x + 4 and x + 6.=> x + x + 2 + x + 4 + x + 6 = 36=> 4x + 12 = 36 => x = 6The numbers are 6, 8, 10 and 12.Sum of their squares = 62 + 82 + 102 + 122 = 36 + 64 + 100 + 144 = 344.
Number System If a + b = 16 and ab = 68, what is the value of a² + b² ? 124 116 112 120 124 116 112 120 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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