Number System Simplify the 121 * 175 + 363 * 275 None of these 363000 328100 316600 None of these 363000 328100 316600 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 121 * 175 + 363 * 275 => 121 * 175 + 121 * 3 * 275121 * 175 + 121 * 825= 121 * (175 + 825) = 121000
Number System In how many different ways can be the letters of the word PENCIL be arranged among themselves ? 720 640 860 510 720 640 860 510 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Total six letters are there and hence the number of arrangements = 6! = 6 x 5 x 4 x 3 x 2 x 1 = 720
Number System The product of two successive numbers is 4556. Which of the following is the larger of the two numbers? 63 67 68 78 63 67 68 78 ANSWER DOWNLOAD EXAMIANS APP
Number System Sum of the digits number is 8 and their product is 12. Find the difference between the digits? 2 6 4 None 2 6 4 None ANSWER EXPLANATION DOWNLOAD EXAMIANS APP x + y = 8xy = 12(x – y)2 = (x + y)2 – 4xy (x – y)2 = 64 – 48 => (x – y) = 4
Number System 1260 x 1.45 - 888 x 1.75 = ? 256 367 295 273 256 367 295 273 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP ? = 1260 x 1.45 - 888 x 1.75= 1827 - 1554 = 273
Number System If x + y = 61 and xy = 888, What is the value of x²+ y² ? 1955 1975 1945 1965 1955 1975 1945 1965 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Because (x + y)² = x² + y² + 2xy∴ x² + y² = (x + y)² - 2xy∴ x² + y² = (61)² - 2 x 888= 3721 - 1776 = 1945
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