Number System If (74)² is added to the square of a number the answer so obtained is 7780. What is the number ? 47 50 48 49 47 50 48 49 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the number be x.or, x² + (74)² = 7780or, x² = 7780 - 5476 = 2304∴ x = 48
Number System The difference between a two-digit number and the number obtained by interchanging the digits is 36. What is the difference of the two digits of the number ? 1 4 3 2 1 4 3 2 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP (10x + y) - (10y + x) = 36,9(x - y) = 36/9 = 4
Number System What least number should be added to 8602 to make it a perfect square ? 47 41 36 51 47 41 36 51 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP So, (93)² = 8649So, the required number to be added to make a perfect square = 8649 - 8602 = 47
Number System A number is doubled and 9 is added. If the resultant is trebled, it becomes 75. What is that number? 3.5 8 6 None of these 3.5 8 6 None of these ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the number be x. Then,3(2x + 9) = 752x = 16 => x = 8
Number System Sum of the digits number is 8 and their product is 12. Find the difference between the digits? 4 2 6 None 4 2 6 None ANSWER EXPLANATION DOWNLOAD EXAMIANS APP x + y = 8xy = 12(x – y)2 = (x + y)2 – 4xy (x – y)2 = 64 – 48 => (x – y) = 4
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