Number System In how many different ways can the letters of the word 'FRUGAL'be arranged ? 660 720 515 556 660 720 515 556 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 75% of 250 - ?% of 380 = 54.5 39 35 33 31 39 35 33 31 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 250 x 75/100 - 380 x ?/100 = 54.5= 250 x 75 - 380 x ?= 54.5 x 100= 18750 - 380 x ?= 5450= 380 x? = 18750 - 5450= 13300= ? = 13300/380 = 35
Number System What number should replace both the question marks (?) in the following question ? 84 82 83 85 84 82 83 85 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 84
Number System The difference between two integers is 5. Their product is 500. Find the numbers. 15, 20 30, 25 20, 25 21, 26 15, 20 30, 25 20, 25 21, 26 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the integers be x and (x + 5). Then, x(x + 5) = 500 x2 + 5x - 500 = 0 (x + 25)(x - 20) = 0 x = 20So, the numbers are 20 and 25.
Number System The difference between a two-digit number and the number obtained by interchanging its two digits is 45. The sum of the digit of the number is 9. What is the product of the two digits of the number? 14 12 15 13 14 12 15 13 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the number be 10x + y.Therefore, x + y = 9 ..................(i)10x + y - (10y + x) = 4510x + y - 10y - x = 45Therefore, x - y = 5 ..................(ii)From (i) and (ii), x = 7, y = 2Number = 72Therefore, = x x y = 7 x 2 = 14
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' ? 4098 1456 3016 2871 4098 1456 3016 2871 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
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