Number System In how many different ways can the letters of the word 'FRUGAL'be arranged ? 720 515 660 556 720 515 660 556 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP In FRUGAL there ae six difference letters Therefore, 6 ! = 6 x 5 x 4 x 3 x 2 x 1 = 720
Number System What should come in place of question mark (?)? 8 : 1 1 : : 72: 109 79 89 99 109 79 89 99 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let ? = xTherefore 8 : 11 : 72 : xTherefore x = (11 x 72) / 8 = 99
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 If a number is multiplied by. three-fourth of itself, the value thus obtained is 10800. What is that number ? 120 180 260 60 120 180 260 60 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the number be x.∴ x x 3x/4 = 10800= x² = 10800 x 4/3 = 14400∴ x = √14400 = 120
Number System The product of two consecutive odd numbers is 4623. What is the product of the next two consecutive odd numbers ? 5183 8795 6782 7745 5183 8795 6782 7745 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP √4623 = 6767 x 69 = 4623∴ Required product = 71 x 73 = 5183
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 (I) alone is sufficient to answer the question while that in statement (II) 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 (II) alone is sufficient to answer the question, while that in statement (I) 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 (I) alone is sufficient to answer the question while that in statement (II) 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 (II) alone is sufficient to answer the question, while that in statement (I) 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)
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