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 54 64 75 88 54 64 75 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 64
Number System Three numbers which are co-prime to one another are such that the product of the first two 551 and that of the last two is 1073. The sum of the three numbers is 93 85 110 74 93 85 110 74 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 85
Number System The product of two consecutive odd numbers is 4095 What is the greater number ? 65 61 74 69 65 61 74 69 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
Number System 1260 x 1.45 - 888 x 1.75 = ? 273 256 367 295 273 256 367 295 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP ? = 1260 x 1.45 - 888 x 1.75= 1827 - 1554 = 273
Number System If a number is multiplied by. three-fourth of itself, the value thus obtained is 10800. What is that number ? 120 60 260 180 120 60 260 180 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the number be x.∴ x x 3x/4 = 10800= x² = 10800 x 4/3 = 14400∴ x = √14400 = 120
Number System If the difference between the squares of two consecutive numbers is 47, what is the smaller number ? 23 26 25 24 23 26 25 24 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