Number System (√6 + 1)² = ? + 2√6 7 5 6 8 7 5 6 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 The product of two consecutive odd numbers is 4623. What is the product of the next two consecutive odd numbers ? 6782 8795 7745 5183 6782 8795 7745 5183 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP √4623 = 6767 x 69 = 4623∴ Required product = 71 x 73 = 5183
Number System 7589 - ? = 3434 11023 1123 4155 4242 11023 1123 4155 4242 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let 7589 - x = 3434Then x = 7589 - 3434 = 4155
Number System If the product of two successive positive integers is 4692, what is the smaller number ? 70 68 66 64 70 68 66 64 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP ∵ 68 x 69 = 4692
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 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 in statement (I) alone is sufficient to answer the question while that in statement (II) alone is not sufficient. If the data either in statement (I) alone or in statement (II) alone is sufficient to answer the question. 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 in statement (I) alone is sufficient to answer the question while that in statement (II) alone is not sufficient. If the data either in statement (I) alone or in statement (II) alone is sufficient to answer the question. 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)
Number System If x + y = 61 and xy = 888, What is the value of x²+ y² ? 1975 1945 1965 1955 1975 1945 1965 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
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