Number System What is the least number, which is perfect square but contains 2700 as its factor? 5400 1800 10800 2700 5400 1800 10800 2700 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 900 * 3 * 3 = 8100
Number System If x + y = 61 and xy = 888, What is the value of x²+ y² ? 1975 1965 1945 1955 1975 1965 1945 1955 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Because (x + y)² = x² + y² + 2xy∴ x² + y² = (x + y)² - 2xy∴ x² + y² = (61)² - 2 x 888= 3721 - 1776 = 1945
Number System When (21)² is subtracted from the square of a number the answer obtained is 1584. What is the number ? 55 65 45 35 55 65 45 35 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the number be x.According to the question,x² - (21)² = 1584= x² - 441 = 1584 = x² = 1584 + 441 = 2025∴ x = √2025 = 45
Number System On dividing 2272 as well as 875 by 3-digit number N, we get the same remainder. The sum of the digits of N is: 13 11 10 12 13 11 10 12 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Clearly, (2272 - 875) = 1397, is exactly divisible by N.Now. 1397 = 11 * 127The required 3-digit number is 127, the sum of whose digit is 10.
Number System If (182)² is added to the square of a number, the answer so obtained is 47765. What is the number ? 121 111 101 131 121 111 101 131 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the no. be xTherefore x² + (182)² = 47765Therefore x² = 47765 - (182)2 = 47765 - 33124Therefore x² = 14641, Therefore x = 121
Number System Twenty times a positive integer is less than its square by 96. What is the integer? 24 30 Cannot be determined 20 24 30 Cannot be determined 20 ANSWER DOWNLOAD EXAMIANS APP
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