Number System In how many different ways can the letters of the word 'DETERMINE' be arranged ? 61480 60480 62480 63480 61480 60480 62480 63480 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP No. of arrangements = 9! / 3! Because, E comes 3 times = 60480
Number System The Twenty-First Century will start on January 1 in the year 2101 2100 2000 2001 2101 2100 2000 2001 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 2001
Number System In a fraction, twice the numerator is two more than the denominator. If 3 is added to the numerator and the denominator each, then the resultant fraction will be 2/3 .What was the original fraction 11/12 19/12 17/12 7/12 11/12 19/12 17/12 7/12 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 7/12
Number System A two-digit number is such that the product of the digits is 8. When 18 is added to the number, then the digits are reversed. The number is: 81 24 18 42 81 24 18 42 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the ten's and unit's digit be x and 8/x respectively. Then, (10x + 8/x) + 18 = 10 * 8/x + x 9x2 + 18x - 72 = 0 x2 + 2x - 8 = 0 (x + 4)(x - 2) = 0 x = 2 So, ten's digit = 2 and unit's digit = 4. Hence, required number = 24.
Number System Which is the smallest fractions among the following ? 13/15 11/13 15/19 27/31 13/15 11/13 15/19 27/31 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 11/13 = 0.8461,13/15 = 0.8666,27/31 = 0.87,15/19 = 0.789
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? 12 13 15 14 12 13 15 14 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
EXAMIANS