Number System
What is a two-digit number if the ratio of the digit at ten's place to the digit at unit's place is 4 : 3 ? (I) The sum of the digits of a two-digit number is 14. (II) The digit at unit place is 75% o
If the data in statement (I) alone is sufficient to answer the question while that in statement (II) alone is not sufficient.
If the data either in statement (I) alone or in statement (II) alone is sufficient to answer the question.
If the data in statement (II) alone is sufficient to answer the question, while that in statement (I) alone is not sufficient.
If the data even in both statements (I) and (II) together is not sufficient to answer the question.
Let the number be 10x + y∴ 3x = 4y ......(1)From (I),x + y = 14 .....(2)Solving equations (1) and (2),x = 8, y = 6∴ Number = 86 From (II)y = 75/100 x x ∴ 3x = 4y.Which is the same as eqn (1)
The least number to be added to the numbers to make them divisible by 9 is equal to the difference of the least multiple of 9 greater than the sum of the digits and sum of the digits.Sum of digits = 15.Nearest multiple of 9 greater than sum of digits = 18.Hence 3 has to be added.
EXAMIANS