Number System (3² x 4² x 5) ÷ 36 = (?)² - 80 16 12 10 14 16 12 10 14 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP (?)² = 3² x 4² x 5/36 + 80= 20 + 80 = 100∴ ? = √100 = 10
Number System In how many different ways can be the letters of the word PENCIL be arranged among themselves ? 720 510 860 640 720 510 860 640 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 average of five consecutive even numbers A, B, C, D and E is 54. What is the product of'B' and 'E' ? 1456 3016 2871 4098 1456 3016 2871 4098 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Because, The even numbers are consecutive and their average is 54.∴ The number C will be 54.∴ A = 50, B = 52, D = 56, E = 58B x E = 52 x 58 = 3016
Number System In how many different ways can the letters of the word 'DETERMINE' be arranged ? 62480 60480 63480 61480 62480 60480 63480 61480 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP No. of arrangements = 9! / 3! Because, E comes 3 times = 60480
Number System What is the sum of all the numbers between 300 and 1000 which are divisible by 179? 2607 2527 2506 2517 2607 2527 2506 2517 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 358/179 ….. 895/179179(2 + 3 + 4 + 5) => 2506
Number System The sum of two numbers is 165 and the difference between them is 9. What is the average of these two numbers ? 84.5 83.5 82.5 85.5 84.5 83.5 82.5 85.5 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP x + y = 165x - y = 92x = 174 ∴ x = 87 and y = 78∴ x + y/2 = 165/2 = 82.5