Number System In how many different ways can the letters of the word 'FRUGAL'be arranged ? 515 660 720 556 515 660 720 556 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP In FRUGAL there ae six difference letters Therefore, 6 ! = 6 x 5 x 4 x 3 x 2 x 1 = 720
Number System The sum of the two numbers is 12 and their product is 35. What is the sum of the reciprocals of these numbers? 7/32 12/35 35/8 1/35 7/32 12/35 35/8 1/35 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the numbers be a and b. Then,a + b = 12 and ab = 35.(a + b)/ab = 12/35= (1/b + 1/a) = 12/35Sum of reciprocals of given numbers = 12/35.
Number System What value should come in place of ? in the given number series ? 15, 51, 162, 498, 1509, ? 5656 4545 3434 7878 5656 4545 3434 7878 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 15, (15 + 2) x 3 = 51,(51 + 3) x 3 = 162, (162 + 4) x 3 = 498, (498 + 5) x 3 = 1509(1509 + 6) x 3 = 4545
Number System In how many different ways can the letters of the word 'LEASE' be arranged ? 40 80 60 None of these 40 80 60 None of these ANSWER EXPLANATION DOWNLOAD EXAMIANS APP The world LEASE consists of 5 letters in which E comes twice ∴ 51/21 = 5x4x3x2x1/2x1 = 60
Number System If x + y = 61 and xy = 888, What is the value of x²+ y² ? 1965 1975 1945 1955 1965 1975 1945 1955 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Because (x + y)² = x² + y² + 2xy∴ x² + y² = (x + y)² - 2xy∴ x² + y² = (61)² - 2 x 888= 3721 - 1776 = 1945
Number System Thrice the square of a natural number decreased by 4 times the number is equal to 50 more than the number. The number is: 10 6 5 4 10 6 5 4 ANSWER DOWNLOAD EXAMIANS APP
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