Number System Find the least number when successively divided by 2, 3 and 7 leaves remainders 1, 2 and 3 respectively? 65 67 75 61 65 67 75 61 ANSWER DOWNLOAD EXAMIANS APP
Number System If (72)² is subtracted from the square of a number, the answer thus obtained is 4617. What is the number ? 95 103 99 92 95 103 99 92 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP x² - (72)² = 467Therefore, x² = 4617 + 5184Therefore, x² = 9801 Therefore, x = 99
Number System In a five-litre mixture of milk and water the portion of water is 30%. How much milk should be added to the mixture so that the portion of water reduces to 5% ? 25 litre 29 litre 21 litre 17 litre 25 litre 29 litre 21 litre 17 litre ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Original mixture = 5 litre; Milk = 3.5 litre;Water = 1.5 litre Let x litre of milk be added so thatthe mixture becomes (x + 5) litres and the percentage of water becomes 5%So, 1.5 = (x + 5) x 5/10030 = x + 5∴ x = 25 litre
Number System A certain number of two digits is three times the sum of its digits. If 45 be added to it, the digits are reversed. The number is: 30 22 24 27 30 22 24 27 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 27
Number System The difference between a positive proper fraction and its reciprocal is 9/20. The fraction is: 3/10 5/4 4/5 3/5 3/10 5/4 4/5 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 Write the next number in the series : 14, 16, 13, 17, 12, 18, 11 .... 19 7 15 1 19 7 15 1 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 19
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