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: 42 81 24 18 42 81 24 18 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 A number when divided by 221 gives a remainder 43, what remainder will be obtained by dividing the same number 17? 10 11 9 5 10 11 9 5 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 221 + 43 = 264/17 = 9 (Remainder)
Number System 3√103820 x 3√274620 = ? 3065 3045 3035 3055 3065 3045 3035 3055 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 3√103820 = 47 and 3√274620 = 65 ∴ ? = 47 x 65 = 3055
Number System In a two-digit number, if it is known that its unit's digit exceeds its ten's digit by 2 and that the product of the given number and the sum of its digits is equal to 144, then the number is: 42 26 24 46 42 26 24 46 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the ten's digit be x. Then, unit's digit = x + 2. Number = 10x + (x + 2) = 11x + 2 Sum of digits = x + (x + 2) = 2x + 2 (11x + 2)(2x + 2) = 144 2x2 + 26x - 140 = 0 (x - 2)(11x + 35) = 0 x = 2Hence, required number = 11x + 2 = 24.
Number System 124, 235, 447, 760, 1174, ? 1689 1389 1489 1589 1689 1389 1489 1589 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP +111, +212, +313, +414
Number System The sum of three consecutive multiples of 3 is 72. What is the largest number? 36 21 24 27 36 21 24 27 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the numbers be 3x, 3x + 3 and 3x + 6.Then,3x + (3x + 3) + (3x + 6) = 729x = 63x = 7Largest number = 3x + 6 = 27.
EXAMIANS