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 46 26 42 24 46 26 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 the word 'FRUGAL'be arranged ? 515 556 660 720 515 556 660 720 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
Number System The difference between two integers is 5. Their product is 500. Find the numbers. 30, 25 20, 25 15, 20 21, 26 30, 25 20, 25 15, 20 21, 26 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 (95.6x 910.3) ÷ 92.56256 = 9? 15.54 14.44 12.24 13.34 15.54 14.44 12.24 13.34 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 13.34
Number System In a division sum, the divisor is 10 times the quotient and 5 times the remainder. If the remainder is 46, the dividend is: 2568 9865 5336 6890 2568 9865 5336 6890 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 5336
Number System Two-third of a positive number and 25/216 of its reciprocal are equal. The number is: 25/144 144/25 12/5 5/12 25/144 144/25 12/5 5/12 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the number be x. Then,2/3 x = 25/216 * 1/xx2 = 25/216 * 3/2 = 25/144 x = 5/12
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