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 4098 2871 3016 1456 4098 2871 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 On converting the following base-2 numeral in base ten, 1101101, we get 109 107 108 106 109 107 108 106 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 109
Number System (95.6x 910.3) ÷ 92.56256 = 9? 13.34 14.44 12.24 15.54 13.34 14.44 12.24 15.54 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 13.34
Number System If R2 = S3 = K, where R, S and K are integers. Find the smallest positive integral value of K. (Greater than 1) 75 88 64 54 75 88 64 54 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 64
Number System If the sum of the two numbers is 22 and the sum of their squares is 404, then the product of the numbers is: 44 40 80 88 44 40 80 88 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the numbers be x and y. Then, (x + y) = 22 and x2 + y2 = 404 Now, 2xy = (x + y)2 - (x2 + y2) 2xy= 222 - 404 = 484 - 404 = 80xy = 40
Number System What is a two-digit number if the ratio of the digit at ten's place to the digit at unit's place is 4 : 3 ? (I) The sum of the digits of a two-digit number is 14. (II) The digit at unit place is 75% o If the data even in both statements (I) and (II) together is not sufficient to answer the question. If the data either in statement (I) alone or in statement (II) alone is sufficient to answer the question. If the data in statement (I) alone is sufficient to answer the question while that in statement (II) alone is not sufficient. If the data in statement (II) alone is sufficient to answer the question, while that in statement (I) alone is not sufficient. If the data even in both statements (I) and (II) together is not sufficient to answer the question. If the data either in statement (I) alone or in statement (II) alone is sufficient to answer the question. If the data in statement (I) alone is sufficient to answer the question while that in statement (II) alone is not sufficient. If the data in statement (II) alone is sufficient to answer the question, while that in statement (I) alone is not sufficient. ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the number be 10x + y∴ 3x = 4y ......(1)From (I),x + y = 14 .....(2)Solving equations (1) and (2),x = 8, y = 6∴ Number = 86 From (II)y = 75/100 x x ∴ 3x = 4y.Which is the same as eqn (1)
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