Number System What is the value of ? in the following equations ? 72/? = ?/50 100 80 60 40 100 80 60 40 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP (?)² = 72 x 50= (6 x 6 x 2) x (5 x 5 x 2)= (6 x 5 x 2)² = (60)²∴ ? = 60
Number System The difference between a two-digit number and the number obtained after interchanging its two digits is 36. The sum of the two digits of the number is 12. Find the lowest such possible number. 48 50 47 49 48 50 47 49 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the digits be x and yTherefore, x + y = 12 .............(1)(10y + x) - (10x + y) Therefore, y - x = 4............. (2)Solving (1) and (2), y = 8 Therefore, x = 4There are two possible numbers 48 and 84. So the lowest no. is 48.
Number System What is the difference between the local values of 3 in the number 53403? 0 3003 2997 3030 0 3003 2997 3030 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 3000 – 3 = 2997
Number System (√6 + 1)² = ? + 2√6 8 5 7 6 8 5 7 6 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 √343 = ? 20 18 19 21 20 18 19 21 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP ? = √343 = 18
Number System Subtracting 30 from a number, the remainder is one fourth of the number. Find the number? 40 22 1/2 30 45 40 22 1/2 30 45 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 3/4 x = 30 => x = 40
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