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: 26 46 24 42 26 46 24 42 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 In how many different ways can the letters of word "COLLEGE" be arranged ? 1300 1260 1240 1280 1300 1260 1240 1280 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Number of ways = 7!/2!2! = 1260(∵ L and E come twice)
Number System 4/6 of 6/5 of 5/7 of a number is 96. Find the number. 162 164 168 170 162 164 168 170 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the number be x.∴ x x 4/6 x 6/5 x 5/7 = 96∴ x = 96 x 6 x 5 x 7/4 x 6 x 5 = 168
Number System The difference between the two digit number and the number obtained by interchanging its digits is 54. The difference between the digits is? 1 Nothing can be said. 4 6 1 Nothing can be said. 4 6 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP (10x + y) – (10y + x) = 54x – y = 6
Number System Given √2 = 1.414, the value of √8 + 2√32 - 3√128 + 4√50 is 8.584 8.684 8.784 8.484 8.584 8.684 8.784 8.484 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 8.484
Number System If (182)² is added to the square of a number, the answer so obtained is 47765. What is the number ? 101 121 131 111 101 121 131 111 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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