Number System When (21)² is subtracted from the square of a number the answer obtained is 1584. What is the number ? 65 45 55 35 65 45 55 35 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the number be x.According to the question,x² - (21)² = 1584= x² - 441 = 1584 = x² = 1584 + 441 = 2025∴ x = √2025 = 45
Number System The difference between two integers is 5. Their product is 500. Find the numbers. 30, 25 15, 20 21, 26 20, 25 30, 25 15, 20 21, 26 20, 25 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the integers be x and (x + 5). Then, x(x + 5) = 500 x2 + 5x - 500 = 0 (x + 25)(x - 20) = 0 x = 20So, the numbers are 20 and 25.
Number System The sum of five consecutive numbers is 190. What is the sum of the largest and the smallest number ? 75 76 73 74 75 76 73 74 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP x + x + 1 + x + 2 + x + 3 + x + 4= 190= 5x + 10 = 190= 5x = 190 - 10 = 180= x = 180/5 = 36The largest number = 36 + 4 = 40∴ Required sum = 36 + 40 = 76
Number System The square root of 3 + “5 is : “3 /2 + 1/”2 “5 /2 - 1/”2 “3 /2 - 1/”2 “(5/2) + “(1/2) “3 /2 + 1/”2 “5 /2 - 1/”2 “3 /2 - 1/”2 “(5/2) + “(1/2) ANSWER EXPLANATION DOWNLOAD EXAMIANS APP “(5/2) + “(1/2)
Number System Which is the largest fraction among the following ? 21/23 12/13 24/25 21/22 21/23 12/13 24/25 21/22 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 21/23 = 0.913,12/13 = 0.92323/25 = 0.92, 21/22 = 0.9545, 24/25 = 0.96
Number System The product of two consecutive position odd numbers is 6723. What is the smaller number? 79 71 74 83 79 71 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
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