Number System The difference between two integers is 5. Their product is 500. Find the numbers. 21, 26 30, 25 15, 20 20, 25 21, 26 30, 25 15, 20 20, 25 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the integers be x and (x + 5). Then, x(x + 5) = 500 x2 + 5x - 500 = 0 (x + 25)(x - 20) = 0 x = 20So, the numbers are 20 and 25.
Number System Find the smallest number which should be multiplied with 520 to make it a perfect square. 120 None of these 55 30 120 None of these 55 30 ANSWER DOWNLOAD EXAMIANS APP
Number System A number consists of two digits. If the digits interchange places and the new number is added to the original number, then the resulting number will be divisible by: 5 3 11 9 5 3 11 9 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the ten's digit be x and unit's digit be y. Then, number 10x + y.Number obtained by interchanging the digits = 10y + x.(10x + y) + (10y + x) = 11(x + y)which is divisible by 11.
Number System Complete the series : 1, 8, 27, 64, 125, 216 ..... 353 363 343 373 353 363 343 373 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 343
Number System In an examination, 68% of the total examinees passed. If the number of failures is 248, the total number of examinees is 775 750 725 640 775 750 725 640 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Failed students are 32% which is 248.∴ Total = 24800/32 = 775
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 24 26 46 42 24 26 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.
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