Number System If a number is multiplied by. three-fourth of itself, the value thus obtained is 10800. What is that number ? 260 120 180 60 260 120 180 60 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the number be x.∴ x x 3x/4 = 10800= x² = 10800 x 4/3 = 14400∴ x = √14400 = 120
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 5 9 10 11 5 9 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 221 + 43 = 264/17 = 9 (Remainder)
Number System The sum and the product of two numbers are 25 and 144 respectively, the difference of the number is? 5 11 7 3 5 11 7 3 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP x + y = 25xy = 144(x- y)2 = (x + y)2 – 4xy(x- y)2 = 625 – 576 => (x – y) = 7
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 46 24 42 26 46 24 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 Supply the missing figure : 1, 4, 9, 16, 25 .... 49 42 16 36 23 42 16 36 23 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 36
Number System If (182)² is added to the square of a number, the answer so obtained is 47765. What is the number ? 121 101 111 131 121 101 111 131 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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