Number System Which choice provides the answer in the following : If 2 * 3 = 36, 5 * 4 = 400, 6 * 2 = 144, 3 * 3 = 81; then, 5 * 5 = ? 325 625 525 425 325 625 525 425 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 625
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 The sum of the numbers is 264. If the first number be twice the second and third number be one-third of the first, then the second number is: 48 72 84 54 48 72 84 54 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the second number be x. Then, first number = 2x and third number = 2x/3.2x + x + 2x/3 = 26411x/3 = 264x = 72
Number System If the numerator of a fraction is increased by 200% and the denominator by 300%, the fraction thus obtained is 1/36. What is the original fractions ? 4/9 5/9 3/9 6/9 4/9 5/9 3/9 6/9 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the fractions be x/yx + 200% of x/y + 300% of y = 1/3= x + 2x/y + 3y = 1/3= 3x/4y = 1/3Hence x/y = 4/9
Number System The product of two consecutive position odd numbers is 6723. What is the smaller number? 71 79 74 83 71 79 74 83 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP n x (n + 2) = 6723= n² + 2n - 6723 = 0= n² + 83n - 81n - 6723 = 0= n(n + 83) - 81 (n + 83) = 0Therefore, (n - 81) (n + 83) = 0Therefore, n = 81, n + 2 = 83
Number System The sum of two numbers is 22. Five times one number is equal to 6 times the other. The bigger of the two numbers is: 15 16 12 10 15 16 12 10 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the numbers be x and (22 - x). Then,5x = 6(22 - x) 11x = 132 => x = 12So, the numbers are 12 and 10.
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