Number System The product of two consecutive position odd numbers is 6723. What is the smaller number? 83 74 79 71 83 74 79 71 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP n x (n + 2) = 6723= n² + 2n - 6723 = 0= n² + 83n - 81n - 6723 = 0= n(n + 83) - 81 (n + 83) = 0Therefore, (n - 81) (n + 83) = 0Therefore, n = 81, n + 2 = 83
Number System If the fraction 8/6, 7/5, 18/13, 9/5 and 7/11 are arranged in descending order of their values, which one will be the second ? 7/5 2/7 1/9 3/4 7/5 2/7 1/9 3/4 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 8/6 = 1. 333, 7/5 = 1.4, 18/13 = 1.3849/5 = 1.8 and 7/11 = 0.636Therefore, Descending order is 9/5 > 7/5 > 18/13 > 8/6 > 7/11Therefore Second fraction is 7/5
Number System The difference between two integers is 5. Their product is 500. Find the numbers. 30, 25 21, 26 15, 20 20, 25 30, 25 21, 26 15, 20 20, 25 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the integers be x and (x + 5). Then, x(x + 5) = 500 x2 + 5x - 500 = 0 (x + 25)(x - 20) = 0 x = 20So, the numbers are 20 and 25.
Number System In a two-digit number, the digit in unit's place is two more than three times the digit in ten's place. If the sum of the two digits is 10, what is the number ? 18 28 22 24 18 28 22 24 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the number be 10x + y.∴ y = 3x + 2 .......(i)And, x + y = 10 ......(ii)From (i) and (ii), x = 2, y = 8∴ Number = 28
Number System The difference between a number and its three-fifth is 50. What is the number? 100 125 75 None of these 100 125 75 None of these ANSWER EXPLANATION DOWNLOAD EXAMIANS APP x - 3/5 x = 50 => 2/5 x = 50x = (50 * 5)/2 = 125.
Number System Complete the series : 1, 8, 27, 64, 125, 216 ..... 343 363 373 353 343 363 373 353 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 343