Number System Find the greatest number which leaves the same remainder when it divides 25, 57 and 105. 18 16 8 12 18 16 8 12 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 105 - 57 = 4857 - 25 = 32105 - 25 = 80The H.C.F of 32, 48 and 80 is 16.
Number System The difference between 45% of a number and 18% of the same number is 145.8. What is 30% of that number ? 162 141 188 245 162 141 188 245 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the number be x.45% of x - 18% of x = 145.8∴ x/100 (45 - 18) = 145.8∴ x = 145.8 x 100/27 = 540∴ 30% of 540 = 540 x 30/100 = 162
Number System A certain number successively divided by 2, 5 and 7 leaves remainders 1, 2 and 3 respectively. When the same number is divided by 70, what is the remainder? 35 36 34 33 35 36 34 33 ANSWER DOWNLOAD EXAMIANS APP
Number System The sum of the numbers is 264. If the first number be twice the second and third number be one-third of the first, then the second number is: 54 84 48 72 54 84 48 72 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the second number be x. Then, first number = 2x and third number = 2x/3.2x + x + 2x/3 = 26411x/3 = 264x = 72
Number System What is the missing number in this series? 8 2 14 6 11 ? 14 6 18 12 3 7 9 2 3 7 9 2 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 9
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
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