Number System The sum of five consecutive numbers is 190. What is the sum of the largest and the smallest number ? 74 75 73 76 74 75 73 76 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP x + x + 1 + x + 2 + x + 3 + x + 4= 190= 5x + 10 = 190= 5x = 190 - 10 = 180= x = 180/5 = 36The largest number = 36 + 4 = 40∴ Required sum = 36 + 40 = 76
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? 32 8 27 None of these 32 8 27 None of these 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 What is the difference between the largest number and the least number written with the figures 3, 4, 7, 0, 3? 43883 43893 43983 70983 43883 43893 43983 70983 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 74330 Largest30347 Smallest-------------43983
Number System Which one of the following is the sum of the numbers 1, 3, 5, 7, 9…. up to nth number? N(N + 1)/2 N(N + 1) N2 + 1 N2 N(N + 1)/2 N(N + 1) N2 + 1 N2 ANSWER DOWNLOAD EXAMIANS APP
Number System Sum of square of first number and cube of second number together is 568. Also square of the second number is 15 less than square of 8. What is the value of three-fifth of the first number ? 7 6 9 8 7 6 9 8 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the first number be x and the second number be y.∴ y² = 82 - 15 = 64 - 15 = 49∴ y = 7∴ x² + 73 = 568= x² + 343 = 568= x² + 568 - 343 = 225∴ x = √225 = 15∴ 15 x 3/5 = 9
Number System (12.11)2 + (?)2 = 732.2921 20.2 24.2 14.2 17.2 20.2 24.2 14.2 17.2 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 24.2