Number System Find the greatest number which leaves the same remainder when it divides 25, 57 and 105. 8 16 12 18 8 16 12 18 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 105 - 57 = 4857 - 25 = 32105 - 25 = 80The H.C.F of 32, 48 and 80 is 16.
Number System Complete the series : 81, 69, 58, 48, 39 ........ 30 29 31 28 30 29 31 28 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 31
Number System (3² x 4² x 5) ÷ 36 = (?)² - 80 14 16 10 12 14 16 10 12 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP (?)² = 3² x 4² x 5/36 + 80= 20 + 80 = 100∴ ? = √100 = 10
Number System If the difference between the squares of two consecutive numbers is 47, what is the smaller number ? 24 25 23 26 24 25 23 26 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 If R2 = S3 = K, where R, S and K are integers. Find the smallest positive integral value of K. (Greater than 1) 88 75 64 54 88 75 64 54 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 64
Number System The product of two consecutive odd numbers is 4095 What is the greater number ? 65 61 69 74 65 61 69 74 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the two consecutive odd numbers be 2x - 1 and 2x + 1.(2x - 1) (2x - 1) = 4095= 4x² - 1 = 4095= 4x² = 4096= x² = 1024∴ x = 32∴ The numbers are 63 and 65.Greater number = 65
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