Number System The difference between two integers is 5. Their product is 500. Find the numbers. 20, 25 21, 26 30, 25 15, 20 20, 25 21, 26 30, 25 15, 20 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 When the square of a number is substracted from (68)², the answer so obtained is 2508. What is the number ? 47 45 46 44 47 45 46 44 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP (68)² - x² = 2508Therefore, x² = 4624 = 2508Therefore, x = root of 2116 = 46
Number System In how many different ways can the letters of word "COLLEGE" be arranged ? 1240 1300 1280 1260 1240 1300 1280 1260 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Number of ways = 7!/2!2! = 1260(∵ L and E come twice)
Number System The average of 7 numbers is 15, that of the first three is 6 and that of the last three is 23. What is the fourth number? 7 13 18 15 7 13 18 15 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 4th No. = (Total of 7 Nos) - (Total of first three + total of last 3) = (15 x 7) - (6 x 3 + 23 x 3) = 105 - (18 + 69) =105 - 87 = 18
Number System A number consists of two digits. If the digits interchange places and the new number is added to the original number, then the resulting number will be divisible by: 9 5 3 11 9 5 3 11 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the ten's digit be x and unit's digit be y. Then, number 10x + y.Number obtained by interchanging the digits = 10y + x.(10x + y) + (10y + x) = 11(x + y)which is divisible by 11.
Number System How many figures are required for numbering the pages of a book containing 1000 pages? 3892 2893 6489 2883 3892 2893 6489 2883 ANSWER DOWNLOAD EXAMIANS APP
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