Number System The product of two consecutive position odd numbers is 6723. What is the smaller number? 71 74 79 83 71 74 79 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 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 88 80 40 44 88 80 40 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 How many figures are required to number the pages the pages of a book containing 365 pages? 897 987 977 967 897 987 977 967 ANSWER DOWNLOAD EXAMIANS APP
Number System 75% of 250 - ?% of 380 = 54.5 39 35 31 33 39 35 31 33 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 250 x 75/100 - 380 x ?/100 = 54.5= 250 x 75 - 380 x ?= 54.5 x 100= 18750 - 380 x ?= 5450= 380 x? = 18750 - 5450= 13300= ? = 13300/380 = 35
Number System If the fractions 1/7, 3/5, 2/5, 5/6 and 9/11 are arranged in descending order of their values, which one will be the fourth number? 1/5 4/5 3/5 2/5 1/5 4/5 3/5 2/5 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 1/4 = 14. 3/5 = 6.2/5 = 4.5/6 = 83.9/11 = 82.Therefore, 83 > 82 > 6 > 14
Number System The sum of a number and its reciprocal is one-eighth of 34. What is the product of the number and its square root? 27 32 None of these 8 27 32 None of these 8 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the number be x. Then,x + 1/x = 34/8 8x2 - 34x + 8 = 0 4x2 - 17x + 4 = 0 (4x - 1)(x - 4) = 0 x = 4required number = 4 * √4 = 4 * 2 = 8.
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