Number System If (17)3 is subtracted from the square of a number, the answer so obtained is 2143. What is the number ? 83 81 84 82 83 81 84 82 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP x² - (17*17*17) = 2143or x² = 2143 + 4913 = 7056∴ x = 84
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 A certain number when divided by 45 leaves a remainder 31, what is the remainder if the same number be divided by 15? 13 9 11 1 13 9 11 1 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 45 + 31 = 76/15 = 1 (Remainder)
Number System The sum of the two digits of a two-digit number is 15 and the difference between the two digits of the two digit number is 3. What is the product of the two digits of the two digit number ? 54 14 36 None of these 54 14 36 None of these ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the number be 10 x + yWhere x > yAccording to the question,x + y = 15 and x - y = 3Solving both the equations,x = 9, y = 6∴ x x y = 9 x 6 = 54
Number System The product of two successive numbers is 4556. Which of the following is the larger of the two numbers? 68 67 63 78 68 67 63 78 ANSWER DOWNLOAD EXAMIANS APP
Number System If (72)² is subtracted from the square of a number, the answer thus obtained is 4617. What is the number ? 99 103 92 95 99 103 92 95 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP x² - (72)² = 467Therefore, x² = 4617 + 5184Therefore, x² = 9801 Therefore, x = 99
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