Number System If x + y = 61 and xy = 888, What is the value of x²+ y² ? 1965 1975 1945 1955 1965 1975 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 In a fraction, twice the numerator is two more than the denominator. If 3 is added to the numerator and the denominator each, then the resultant fraction will be 2/3 .What was the original fraction 7/12 17/12 19/12 11/12 7/12 17/12 19/12 11/12 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 7/12
Number System In a two-digit number, the digit in unit's place is two more than three times the digit in ten's place. If the sum of the two digits is 10, what is the number ? 18 28 22 24 18 28 22 24 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the number be 10x + y.∴ y = 3x + 2 .......(i)And, x + y = 10 ......(ii)From (i) and (ii), x = 2, y = 8∴ Number = 28
Number System A, B, C, D and E are consecutive even numbers respectively. The average of 5 numbers is 82. What is the product of C and E ? 6373 6383 6353 6363 6373 6383 6353 6363 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP x + x + 1 + x + 2 + x + 3 + x + 4 = 5 x 82= 5x + 10 = 410 = 5x = 400= x = 400/5 = 80 ∴ A = 80C = 82and E = 84= C x E = 82 x 84 = 6383
Number System If the difference between a number and its three-fourth is 18, find the number. 72 57 68 61 72 57 68 61 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 What number should come in the place of (?) in the following number series ? 1, 4, 9, 25, 49, ?, 169, 289, 361 225 11 321 121 225 11 321 121 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP The series is (Prime No.)²So it is (11)² = 121
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