Number System In how many different ways can the letters of the word "MOBILIZE" be arranged ? 18456 19765 20160 17453 18456 19765 20160 17453 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP The word MOBILIZE has eight letters in which I comes twice ∴ Number of arrangements = 8!/2! = 20160
Number System The sum of the digits of a two-digit number is 12, and the difference between the number and the number obtained by interchanging the two digits of the number is 18. Find the number. 25 12.5 75 50 25 12.5 75 50 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the number be 10x + y.∴ x + y = 12 ...........(i)10x + y - (10x + x) = 18or 10x + y - 10y - x = 18or 9x - 9y = 18∴ x - y = 2From (i) and (ii), x = 7, y = 5∴ Number = 75
Number System The Twenty-First Century will start on January 1 in the year 2001 2101 2100 2000 2001 2101 2100 2000 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 2001
Number System (√6 + 1)² = ? + 2√6 6 5 7 8 6 5 7 8 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP ? = (√6 + 1)² - 2√6= (√6)² + 2 x √6 + 1 + 1² - 2√6= 6 + 2√6 + 1 - 2√6 = 6 + 1 = 7
Number System What value should come in place of ? in the given number series ? 15, 51, 162, 498, 1509, ? 7878 5656 3434 4545 7878 5656 3434 4545 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 15, (15 + 2) x 3 = 51,(51 + 3) x 3 = 162, (162 + 4) x 3 = 498, (498 + 5) x 3 = 1509(1509 + 6) x 3 = 4545
Number System The sum and the product of two numbers are 25 and 144 respectively, the difference of the number is? 11 7 3 5 11 7 3 5 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP x + y = 25xy = 144(x- y)2 = (x + y)2 – 4xy(x- y)2 = 625 – 576 => (x – y) = 7
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