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 84.5 83.5 82.5 85.5 84.5 83.5 82.5 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 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? 1/25 2/5 1/5 Data inadequate 1/25 2/5 1/5 Data inadequate 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 What number should come in the place of (?) in the following number series ? 1, 4, 9, 25, 49, ?, 169, 289, 361 225 11 121 321 225 11 121 321 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP The series is (Prime No.)²So it is (11)² = 121
Number System The average of 7 consecutive even numbers A, B, C, D, E, F and G is 36. What is the product of ' C and 'E' ? 1292 1468 1327 1168 1292 1468 1327 1168 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP A + B + C + D + E + F + G/7 = 36Therefore, D = 36Therefore, C = 34, E = 38Therefore, Product = 34 x 38 = 1292
Number System If A + B = 30 and AB = 94, What is the value of A² + B² ? 712 920 625 824 712 920 625 824 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP (A + B)² = (30)² = 900A² + B² + 2AB = 900Therefore, A² + B² = 900 - 2 x 94 = 900 - 188 = 712
Number System Find the number of factors of 300 excluding 1 and itself. 18 14 16 15 18 14 16 15 ANSWER DOWNLOAD EXAMIANS APP