10 Question MCQ (including Assertion)

The difference between two positive integers is 63 . The ratio of the two integers is \(2: 5\). What is the larger integer?

A chess club charges a joining fee of ₹200 plus ₹50 for every match played. If a player paid a total of ₹750, how many matches did he play?

What is the constant term of the polynomial \(9 x^3+5 x^2-8 x-10\) ?

The value of the polynomial \(5 x-4 x^2+3\), when \(x=-1\) is

Assertion (A): If a student saves Rs. 100 every month, the total savings after \(n\) months is a linear polynomial \(100 n\).
Reason (R): The difference in total savings between any two consecutive months is always constant.

What is the coefficient of \(x^3\) in the polynomial \(x^4-3 x^3+6 x^2-2 x+7\) ?

Assertion (A): A car depreciating in value by Rs. 10,000 every year is an example of linear decay.
Reason (R): The graph of the car's value over time will be a straight line with a negative slope.

The cost of a journey is given by the linear function \(C(d)=100+60 d\), where \(C\) is the cost in rupees and \(d\) is the distance in km. For how many kilometres will the cost of the journey be ₹700?

Consider the graphs of the three equations \(y=3 x-1, y=3 x\), and \(y=3 x+1\) shown above. What is the fundamental relationship between these lines?