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: 40 88 44 80 40 88 44 80 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 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 either in statement (I) alone or in statement (II) alone is sufficient to answer the question. 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 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 even in both statements (I) and (II) together is not 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 A number when multiplied by five times of itself give the value equal to 1445. What is the number ? 16 17 15 18 16 17 15 18 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP x x 5x = 1445= 5x² = 1445= x² = 289∴ x = 17
Number System I. 3x2-14x + 8 = 0 II. 2y2 - 1 7 y + 36 = 0 if x < y if x <= y if x >= y if x > y if x < y if x <= y if x >= y if x > y ANSWER EXPLANATION DOWNLOAD EXAMIANS APP l. 3x2 - 12x - 2x + 8 = 0or 3x(x - 4) -2 (x -4) = 0∴ x = 4, 2/3ll. 2y2 - 8y - 9y + 36 = 0or 2y (y - 4) -9 (y - 4) = 0or (2y - 9) (y - 4) = 0∴ y = 4, 9/2
Number System How many figures are required to number the pages the pages of a book containing 365 pages? 987 967 897 977 987 967 897 977 ANSWER DOWNLOAD EXAMIANS APP
Number System The difference between 35% of a number and 18% of the same number is 93.5 then what is the 40% of that number ? 220 232 225 245 220 232 225 245 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Diff = (35 - 18)% of x = 93.517x/100 = 93.5Therefore, x = 550Therefore, 40% of 550 = 220
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