Number System A two-digit number is such that the product of the digits is 8. When 18 is added to the number, then the digits are reversed. The number is: 24 81 18 42 24 81 18 42 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the ten's and unit's digit be x and 8/x respectively. Then, (10x + 8/x) + 18 = 10 * 8/x + x 9x2 + 18x - 72 = 0 x2 + 2x - 8 = 0 (x + 4)(x - 2) = 0 x = 2 So, ten's digit = 2 and unit's digit = 4. Hence, required number = 24.
Number System (3² x 4² x 5) ÷ 36 = (?)² - 80 16 10 14 12 16 10 14 12 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP (?)² = 3² x 4² x 5/36 + 80= 20 + 80 = 100∴ ? = √100 = 10
Number System If A = 1, B = 3, C = 5 and so on, what do the numbers 3, 9, 7 stand for CAT CAR BAT BED CAT CAR BAT BED ANSWER EXPLANATION DOWNLOAD EXAMIANS APP BED
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 difference between a two-digit number and the number obtained by interchanging the two digits is 63. Which is the smaller of the two numbers? Cannot be determined 92 29 70 Cannot be determined 92 29 70 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the ten's digit be x and units digit by y.Then,(10x + y) - (10y + x) = 639(x - y) = 63x - y = 7Thus, none of the numbers can be determined.
Number System In how many different ways can the letters of the word 'FRUGAL'be arranged ? 515 720 660 556 515 720 660 556 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP In FRUGAL there ae six difference letters Therefore, 6 ! = 6 x 5 x 4 x 3 x 2 x 1 = 720