Number System If a number is subtracted from its square we get 272. Find the number? 22 24 14 17 22 24 14 17 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP x2 – x = 272 => x =17
Number System If the difference between the squares of two consecutive numbers is 47, what is the smaller number ? 25 24 26 23 25 24 26 23 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the numbers be (x + 1) and x.Therefore, (x + 1)² - x² = 47x² + 2x + 1 - x² = 472x + 1 = 47Therefore, x = 46/2 = 23
Number System What will be the next number in the following number series ? 191 177 182 162 191 177 182 162 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 1² + 1, 3² + 3, 5² + 5, 7² + 7
Number System The average age of seven boys sitting in a row facing North is 26 years. If the average age of first three boys is 19 years and the average age of last three boys is 32 years, what is the age of the b 30 years 28 years 31 years 29 years 30 years 28 years 31 years 29 years ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Age of the fourth boy = (26 x 7 - 3 x 19 - 3 x 32) years = (182 - 57 - 96) years = 29 years
Number System Two numbers are in the ratio 3:5. If 9 be subtracted from each, they are in the ratio of 9:17. The first number is: 27 36 30 18 27 36 30 18 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP (3x-9):(5x-9) = 9:17 x = 12 => 3x = 36
Number System The difference between a two-digit number and the number obtained by interchanging its two digits is 45. The sum of the digit of the number is 9. What is the product of the two digits of the number? 13 15 14 12 13 15 14 12 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the number be 10x + y.Therefore, x + y = 9 ..................(i)10x + y - (10y + x) = 4510x + y - 10y - x = 45Therefore, x - y = 5 ..................(ii)From (i) and (ii), x = 7, y = 2Number = 72Therefore, = x x y = 7 x 2 = 14
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