If the sum of the two-digit numbers AB and CD is the three-digit number 1CE, where the letters A, B, C, D, E denote distinct digits, then what is the value of A?
The total cost of 4 oranges, 6 mangoes and 8 apples is equal to twice the total cost of 1 orange, 2 mangoes and 5 apples.
Consider the following statements:
1. The total cost of 3 oranges, 5 mangoes and 9 apples is equal to the total cost of 4 oranges, 6 mangoes and 8 apples.
2. The total cost of one orange and one mango is equal to the cost of one apple.
Which of the statements given above is/are correct?
Let $p$ and $q$ be positive integers satisfying $p < q$ and $p + q = k$. What is the smallest value of $k$ that does not determine $p$ and $q$ uniquely?
A Question is given followed by two Statements I and II. Consider the Question and the Statements.
Question:
Is $(x + y)$ an integer?
Statement-I:
$ (2x + y) $ is an integer.
Statement-II:
$ (x + 2y) $ is an integer.
Which one of the following is correct in respect of the above Question and the Statements?