Number System A certain number when divided by 39 leaves a remainder 20, what is the remainder when the same number is divided by 13? 11 5 7 0 11 5 7 0 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 39 + 20 = 59/13 = 7 (Remainder)
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 95 litre 90 litre 80 litre 85 litre 95 litre 90 litre 80 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
Number System (3² x 4² x 5) ÷ 36 = (?)² - 80 16 10 14 12 16 10 14 12 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP (?)² = 3² x 4² x 5/36 + 80= 20 + 80 = 100∴ ? = √100 = 10
Number System Find out the smallest possible number which will be divisible by 1122 as well as 153. 2366 1366 3366 4366 2366 1366 3366 4366 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 3366
Number System In how many different ways can be the letters of the word PENCIL be arranged among themselves ? 720 860 640 510 720 860 640 510 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Total six letters are there and hence the number of arrangements = 6! = 6 x 5 x 4 x 3 x 2 x 1 = 720
Number System The difference between a positive proper fraction and its reciprocal is 9/20. The fraction is: 4/5 3/10 5/4 3/5 4/5 3/10 5/4 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
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