Number System If (17)3 is subtracted from the square of a number, the answer so obtained is 2143. What is the number ? 81 84 82 83 81 84 82 83 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP x² - (17*17*17) = 2143or x² = 2143 + 4913 = 7056∴ x = 84
Number System A certain number when divided by 45 leaves a remainder 31, what is the remainder if the same number be divided by 15? 13 11 9 1 13 11 9 1 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 45 + 31 = 76/15 = 1 (Remainder)
Number System If 1.5 x= 0.04 y, then the value of (y-x) (y+x) is: 77/73 73/77 83/77 93/77 77/73 73/77 83/77 93/77 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 73/77
Number System I. 3x2-14x + 8 = 0 II. 2y2 - 1 7 y + 36 = 0 if x <= y if x > y if x >= y if x < y if x <= y if x > y if x >= y if x < y ANSWER EXPLANATION DOWNLOAD EXAMIANS APP l. 3x2 - 12x - 2x + 8 = 0or 3x(x - 4) -2 (x -4) = 0∴ x = 4, 2/3ll. 2y2 - 8y - 9y + 36 = 0or 2y (y - 4) -9 (y - 4) = 0or (2y - 9) (y - 4) = 0∴ y = 4, 9/2
Number System The sum of four consecutive even numbers is 36. Find the sum of the squares of these numbers? 296 344 252 388 296 344 252 388 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the four numbers be x, x + 2, x + 4 and x + 6.=> x + x + 2 + x + 4 + x + 6 = 36=> 4x + 12 = 36 => x = 6The numbers are 6, 8, 10 and 12.Sum of their squares = 62 + 82 + 102 + 122 = 36 + 64 + 100 + 144 = 344.
Number System If (182)² is added to the square of a number, the answer so obtained is 47765. What is the number ? 121 111 101 131 121 111 101 131 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the no. be xTherefore x² + (182)² = 47765Therefore x² = 47765 - (182)2 = 47765 - 33124Therefore x² = 14641, Therefore x = 121
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