Number System The sum of a number and its reciprocal is one-eighth of 34. What is the product of the number and its square root? None of these 27 32 8 None of these 27 32 8 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the number be x. Then,x + 1/x = 34/8 8x2 - 34x + 8 = 0 4x2 - 17x + 4 = 0 (4x - 1)(x - 4) = 0 x = 4required number = 4 * √4 = 4 * 2 = 8.
Number System 1256+4813+765=? 6836 6834 6839 6831 6836 6834 6839 6831 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 1256+4813+765= 6069+765=6834
Number System The difference between the two digit number and the number obtained by interchanging its digits is 54. The difference between the digits is? 1 4 Nothing can be said. 6 1 4 Nothing can be said. 6 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP (10x + y) – (10y + x) = 54x – y = 6
Number System What is the least number, which is perfect square but contains 2700 as its factor? 10800 2700 1800 5400 10800 2700 1800 5400 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 900 * 3 * 3 = 8100
Number System The sum of 8 consecutive odd numbers is 656. Also average of four consecutive even numbers is 87. What is the sum of the smallest odd number and second largest even number ? 163 167 158 160 163 167 158 160 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Average of 8 consecutive odd numbers = 656/8 = 82∴ Fourth number = 82 - 1 = 81∴ First numbers = 75Average of 4 even numbers = 87∴ Second even number = 87 - 1 = 86Second largest even number = 88∴ Required sum = 75 + 88 = 163
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 ? 13/25 3/5 12/25 6/7 13/25 3/5 12/25 6/7 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the fraction be x/yWe have 150x/120y = 9/15= x/y = 12/25