Number System The average of five consecutive even numbers A, B, C, D and E is 54. What is the product of'B' and 'E' ? 3016 1456 2871 4098 3016 1456 2871 4098 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Because, The even numbers are consecutive and their average is 54.∴ The number C will be 54.∴ A = 50, B = 52, D = 56, E = 58B x E = 52 x 58 = 3016
Number System If the following fractions 7/6, 6/7, 5/3, 8/13 and 6/5 are arranged in descending order, which will be the last in the series? 7/13 9/13 8/13 6/13 7/13 9/13 8/13 6/13 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 7/6 = 1.166, 6/7 = 0.857,5/3 = 1.66,8/13 = 0.615,6/5 = 1.2Therefore, 5/3 > 6/5 > 7/6 > 6/7 > 8/13
Number System The product of two natural numbers is 17. Then, the sum of the reciprocals of their squares is: 289 290/289 1/289 289/290 289 290/289 1/289 289/290 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the numbers be a and b. Then,ab = 17, a = 1 and b = 17So, 1/a2 + 1/b2 = (a2 + b2)/a2 b2 = (12 + 172)/(1 * 17)2 = 290/289
Number System (√6 + 1)² = ? + 2√6 5 6 7 8 5 6 7 8 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP ? = (√6 + 1)² - 2√6= (√6)² + 2 x √6 + 1 + 1² - 2√6= 6 + 2√6 + 1 - 2√6 = 6 + 1 = 7
Number System If (72)² is subtracted from the square of a number, the answer thus obtained is 4617. What is the number ? 92 95 103 99 92 95 103 99 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP x² - (72)² = 467Therefore, x² = 4617 + 5184Therefore, x² = 9801 Therefore, x = 99
Number System What number should come in the place of (?) in the following number series ? 1, 4, 9, 25, 49, ?, 169, 289, 361 321 225 11 121 321 225 11 121 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP The series is (Prime No.)²So it is (11)² = 121
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