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:
If the average marks in a class are 60, then what is the number of students in the class?
Statement-I:
The highest marks in the class are 70 and the lowest marks are 50.
Statement-II:
Exclusion of highest and lowest marks from the class does not change the average.
Which one of the following is correct in respect of the above Question and the Statements?
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?
If P means 'greater than (>); Q means 'less than (<)'; R means 'not greater than (≤)'; S means 'not less than (≥) and T means 'equal to (=)', then consider the following statements:
1. If 2x(S)3y and 3x(T)4z, then 9y(P)8z.
2. If x(Q)2y and y(R)z, then x(R)z.
Which of the statements given above is/are correct?