Number System On converting the following base-2 numeral in base ten, 1101101, we get 108 109 106 107 108 109 106 107 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 109
Number System What will be the next number in the following number series ? 177 182 191 162 177 182 191 162 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 1² + 1, 3² + 3, 5² + 5, 7² + 7
Number System The difference between a positive proper fraction and its reciprocal is 9/20. The fraction is: 4/5 3/5 3/10 5/4 4/5 3/5 3/10 5/4 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 The difference of two numbers is 1365. On dividing the larger number by the smaller, we get 6 as quotient and 15 as remainder. What is the smaller number? 295 240 270 360 295 240 270 360 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the smallest number be x.Then larger number = (x + 1365)x + 1365 = 6x + 15= 5x = 1350 x = 270Smaller number = 270.
Number System If the difference between a number and its three-fourth is 18, find the number. 68 57 61 72 68 57 61 72 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the number be x.According to the question,x - 3x/4 = 18= x/4 = 18= x = 4 x 18 = 72
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% ? 90 litre 85 litre 95 litre 80 litre 90 litre 85 litre 95 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
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