Number System On dividing number by 56, we get 29 as remainder. On dividing the same number by 8, what will be the remainder? 7 6 5 4 7 6 5 4 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let x be the number and y be the quotient. Then, x = 357 * y + 39= (17 * 21 * y) + (17 * 2) + 5= 17 * (21y + 2) + 5.Required remainder = 5.
Number System The difference between a two-digit number and the number obtained by interchanging its two digits is 45. The sum of the digit of the number is 9. What is the product of the two digits of the number? 12 14 15 13 12 14 15 13 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the number be 10x + y.Therefore, x + y = 9 ..................(i)10x + y - (10y + x) = 4510x + y - 10y - x = 45Therefore, x - y = 5 ..................(ii)From (i) and (ii), x = 7, y = 2Number = 72Therefore, = x x y = 7 x 2 = 14
Number System The product of two consecutive odd numbers is 6723. Find is the greater number. 80 77 85 83 80 77 85 83 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the first odd number be x.Then, the other odd number would be x + 2.∴ x(x+2) = 6723= x2 + 2x = 6723= x2 + 2x = 6723= x2 + 2x - 6723 = 0= x2 + 83 - 81 x - 6723 = 0= x(x+83) - 81 (x + 83) = 0= (x + 83) (x - 81) = 0= (x + 83) (x - 81) = 0= x - 81 = 0∴ x = 81Hence, greater number = x + 2 = 81 + 2 = 83
Number System √9216 + √15376 = ? 220 231 227 224 220 231 227 224 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP ? = √9216 + √15376= 96 + 124= 220
Number System 7.8 x 4.5 x 4.2/0.14 = ? 1012 1053 1032 1087 1012 1053 1032 1087 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 7.8 x 4.5 x 4.2/0.14 = 1053
Number System Which number should replace question mark (?) in the following equation ? ?/342 = 38/? 116 118 114 112 116 118 114 112 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP (?)² = 342 x 38Therefore, ? = √342 x 38 = √38 x 9 x 38 = 38 x 3 = 114
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