Number System How many of the following numbers are divisible by 132? 264, 396, 462, 792, 968, 2178, 5184, 6336 7 4 6 5 7 4 6 5 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 132 = 11 * 3 * 4Clearly, 968 is not divisible by 3None of 462 and 2178 is divisible by 4And, 5284 is not divisible by 11Each one of the remaining four numbers is divisible by each one of 4, 3 and 11.So, there are 4 such numbers.
Number System A certain number of two digits is three times the sum of its digits. If 45 be added to it, the digits are reversed. The number is: 30 24 27 22 30 24 27 22 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 27
Number System The product of two consecutive position odd numbers is 6723. What is the smaller number? 83 71 79 74 83 71 79 74 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 One-eighth of a number is 76. What will be 54% of the number ? 318.32 332.32 321.32 328.32 318.32 332.32 321.32 328.32 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the no. be x Therefore, 1/8 of x = 76Therefore, x = 60854% of 608 = 608 x 54/100 = 328.32
Number System If the difference between a number and two-fifths of that number is 45 what is the number ? 78 77 75 76 78 77 75 76 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the number be x ∴ x - 2x/5 = 45∴ x = 75
Number System (12)² - (4.4)² - (0.04)² = ? 129.6384 124.6384 125.6384 131.6384 129.6384 124.6384 125.6384 131.6384 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP (12)² - (4.4)² - (0.04)²= 144 - 19.36 - 0.0016= 124.64 - 0.0016= 124.6384