Number System In how many different ways can the letters of the word FORMULATE be arranged ? 382880 392880 362880 372880 382880 392880 362880 372880 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP No. of letters = 9! = 9*8*7*6*5*4*3*2*1 = 362880
Number System The average of five consecutive even numbers, p, q, r, s and t is 40. What is the product of 'r' and 's' ? 1480 1780 1580 1680 1480 1780 1580 1680 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the numbers be x, x + 2, x + 4, x + 6, and x + 8Avg = x + x + 2 + x + 4 + x + 6 + x + 8/5 = 40Therefore, 5x + 20 = 200Therefore, x = 180/5 = 36Therefore, r = x + 4 = 40 s = x + 6 = 42Therefore, Product = 1680
Number System The product of two consecutive position odd numbers is 6723. What is the smaller number? 74 79 83 71 74 79 83 71 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP n x (n + 2) = 6723= n² + 2n - 6723 = 0= n² + 83n - 81n - 6723 = 0= n(n + 83) - 81 (n + 83) = 0Therefore, (n - 81) (n + 83) = 0Therefore, n = 81, n + 2 = 83
Number System (3² x 4² x 5) ÷ 36 = (?)² - 80 12 14 10 16 12 14 10 16 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 the letters of the word 'DETERMINE' be arranged ? 61480 62480 63480 60480 61480 62480 63480 60480 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP No. of arrangements = 9! / 3! Because, E comes 3 times = 60480
Number System 5358 * 51 = ? 273268 273348 273258 273358 273268 273348 273258 273358 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 5358 * 51 = 5358 * (50 + 1) = 5358 * 50 + 5358 * 1= 267900 + 5358 = 273258
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