Number System In how many different ways can the letters of word 'BIOLOGY' be arranged ? 2520 2678 2410 2367 2520 2678 2410 2367 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP In BIOLOGY total 7 letters are there but O comes twice.∴ Number of arrangements = 7!/2! = 2520
Number System The product of two consecutive odd numbers is 4095 What is the greater number ? 74 65 69 61 74 65 69 61 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 486+32×25—59=? 567 582 528 596 567 582 528 596 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 528
Number System If (47)² is added to the square of a number the answer thus obtained is 2290. What is the number ? 10 7 8 9 10 7 8 9 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the no. be x Therefore, x² + (47)² = 2290Therefore, x² = 2290 - 2209 = 81Therefore, x = 9
Number System Which is the smallest fractions among the following ? 15/19 11/13 27/31 13/15 15/19 11/13 27/31 13/15 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 11/13 = 0.8461,13/15 = 0.8666,27/31 = 0.87,15/19 = 0.789
Number System When the square of a number is substracted from (68)², the answer so obtained is 2508. What is the number ? 46 45 44 47 46 45 44 47 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP (68)² - x² = 2508Therefore, x² = 4624 = 2508Therefore, x = root of 2116 = 46