Number System The sum of three consecutive multiples of 3 is 72. What is the largest number? 24 27 36 21 24 27 36 21 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the numbers be 3x, 3x + 3 and 3x + 6.Then,3x + (3x + 3) + (3x + 6) = 729x = 63x = 7Largest number = 3x + 6 = 27.
Number System The sum of four consecutive even numbers is 36. Find the sum of the squares of these numbers? 344 388 296 252 344 388 296 252 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the four numbers be x, x + 2, x + 4 and x + 6.=> x + x + 2 + x + 4 + x + 6 = 36=> 4x + 12 = 36 => x = 6The numbers are 6, 8, 10 and 12.Sum of their squares = 62 + 82 + 102 + 122 = 36 + 64 + 100 + 144 = 344.
Number System When the square of a number is substracted from (68)², the answer so obtained is 2508. What is the number ? 47 46 44 45 47 46 44 45 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP (68)² - x² = 2508Therefore, x² = 4624 = 2508Therefore, x = root of 2116 = 46
Number System If R2 = S3 = K, where R, S and K are integers. Find the smallest positive integral value of K. (Greater than 1) 54 64 88 75 54 64 88 75 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 64
Number System How many figures are required for numbering the pages of a book containing 1000 pages? 2883 3892 6489 2893 2883 3892 6489 2893 ANSWER DOWNLOAD EXAMIANS APP
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
EXAMIANS