Number System The sum of the two digits of a two-digit number is 15 and the difference between the two digits of the two digit number is 3. What is the product of the two digits of the two digit number ? 14 36 None of these 54 14 36 None of these 54 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the number be 10 x + yWhere x > yAccording to the question,x + y = 15 and x - y = 3Solving both the equations,x = 9, y = 6∴ x x y = 9 x 6 = 54
Number System The sum of a number and its reciprocal is one-eighth of 34. What is the product of the number and its square root? 27 None of these 8 32 27 None of these 8 32 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the number be x. Then,x + 1/x = 34/8 8x2 - 34x + 8 = 0 4x2 - 17x + 4 = 0 (4x - 1)(x - 4) = 0 x = 4required number = 4 * √4 = 4 * 2 = 8.
Number System How many numbers up to 300 and 700 are divisible by 2, 3 and 7 both together? 9 11 8 10 9 11 8 10 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP (700 – 300)/42 = 9 22/42 => 9 Numbers
Number System If the L.C.M of two numbers is 750 and their product is 18750, find the H.C.F of the numbers. 25 50 125 30 25 50 125 30 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP H.C.F = (Product of the numbers) / (Their L.C.M) = 18750/750 = 25.
Number System 3√103823 = ? 52 44 47 41 52 44 47 41 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP ? = 3√103823 = 3√47 x 47 x 47 = 47
Number System If x + y = 61 and xy = 888, What is the value of x²+ y² ? 1975 1955 1945 1965 1975 1955 1945 1965 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
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