Number System If the numberator of a fraction is increased by 50% and denominator by 20% the fraction become 9/15. What was the original fraction ? 6/7 12/25 13/25 3/5 6/7 12/25 13/25 3/5 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the fraction be x/yWe have 150x/120y = 9/15= x/y = 12/25
Number System 3√103823 = ? 41 47 44 52 41 47 44 52 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP ? = 3√103823 = 3√47 x 47 x 47 = 47
Number System The difference between 71% of a number and 46% and of the same number is 212. What is 75% of that number 845 724 673 636 845 724 673 636 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the number be x.∴ 71% of x - 46% of x = 212∴ (71 - 46)% of x = 212∴ 25/100 x x = 212∴ x = 212 x 4 = 848∴ 75% of 848 = 848 x 75/100 = 636
Number System If a + b = 16 and ab = 68, what is the value of a² + b² ? 124 112 116 120 124 112 116 120 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
Number System A, B, C, D and E are consecutive even numbers respectively. The average of 5 numbers is 82. What is the product of C and E ? 6353 6373 6383 6363 6353 6373 6383 6363 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP x + x + 1 + x + 2 + x + 3 + x + 4 = 5 x 82= 5x + 10 = 410 = 5x = 400= x = 400/5 = 80 ∴ A = 80C = 82and E = 84= C x E = 82 x 84 = 6383
Number System The difference between a two-digit number and the number obtained by interchanging the digits is 36. What is the difference of the two digits of the number ? 1 2 4 3 1 2 4 3 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP (10x + y) - (10y + x) = 36,9(x - y) = 36/9 = 4