Number System Find the greatest number which leaves the same remainder when it divides 25, 57 and 105. 8 12 16 18 8 12 16 18 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 105 - 57 = 4857 - 25 = 32105 - 25 = 80The H.C.F of 32, 48 and 80 is 16.
Number System 486+32×25—59=? 582 528 596 567 582 528 596 567 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 528
Number System 3√68921 = ? 31 51 41 21 31 51 41 21 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP ? = 3√68921= 3√41 x 41 x 41= 41
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 46 26 24 42 46 26 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 If (47)² is added to the square of a number the answer thus obtained is 2290. What is the number ? 10 9 7 8 10 9 7 8 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the no. be x Therefore, x² + (47)² = 2290Therefore, x² = 2290 - 2209 = 81Therefore, x = 9
Number System In a 150-litre mixture of milk and water, the percentage of milk is 84%. How much water should be added so that the percentage of milk becomes 52.5% ? 85 litre 80 litre 90 litre 95 litre 85 litre 80 litre 90 litre 95 litre ANSWER EXPLANATION DOWNLOAD EXAMIANS APP In 150 litre, milk is 84%ie 150 x 84/100 = 126 litre Let us add x litres of waterTherefore, the quantity of mixture = 150 + x∴ 52.5% of (150 + x) = 126 litres 150 + x = 126x100/52.5 = 240 litres∴ x = 240 - 150 = 90 litres
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