Exam Questions & Step-by-Step Markschemes (49 Problems)
Question 1 • 2023
5 Marks
A motor boat can travel 30 km upstream and 44 km downstream in 10 hours. In 13 hours, it can travel 40 km upstream and 55 km downstream. Determine the speed of the stream and that of the boat in still water.
Answer: \text{Boat speed: } 8 \text{ km/h}, \quad \text{Stream speed: } 3 \text{ km/h}
Question 2 • 2023
1 Marks
The point of intersection of the line represented by 3x - y = 3 and y -axis is given by
Answer: Option (A) : (0, - 3)
Question 3 • 2023
1 Marks
The coordinates of the point where the line 2y = 4x + 5 crosses x-axis is
Answer: Option (C) : (-\frac{5}{4}, 0)
Question 4 • 2024
1 Marks
If (k, 3) is the point of intersection of the lines represented by x + py = 6 and x = 15 , then (k, p) will be :
Answer: Option (B) : (15, -3)
Question 5 • 2025
1 Marks
If (0, 0) is the solution of the equation x + y = c - 1 , then the value of c is :
Answer: Option (B) : 1
Question 6 • 2025
1 Marks
The point (3, -5) lies on the line mx - y = 11 . The value of m is
Answer: Option (D) : 2