Number System 124, 235, 447, 760, 1174, ? 1489 1389 1689 1589 1489 1389 1689 1589 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP +111, +212, +313, +414
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: 9 3 5 11 9 3 5 11 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 Find the number, when 15 is subtracted from 7 times the number, the result is 10 more than twice of the number 15 5 4 7.5 15 5 4 7.5 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the number be x.7x -15 = 2x + 10 => 5x = 25 => x = 5
Number System The product of two consecutive position odd numbers is 6723. What is the smaller number? 79 71 83 74 79 71 83 74 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP n x (n + 2) = 6723= n² + 2n - 6723 = 0= n² + 83n - 81n - 6723 = 0= n(n + 83) - 81 (n + 83) = 0Therefore, (n - 81) (n + 83) = 0Therefore, n = 81, n + 2 = 83
Number System The difference between a positive proper fraction and its reciprocal is 9/20. The fraction is: 4/5 5/4 3/10 3/5 4/5 5/4 3/10 3/5 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 1/x - x = 9/20 20x2 + 9x - 20 = 0 20x2 + 25x - 16x - 20 = 0 5x(4x + 5) -4(4x + 5) = 0(4x + 5)(5x - 4) = 0x = 4/5
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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