Page 110 - Maths Skills - 8

108 Maths

(c) A is true but R is false. SUBJECTIVE TYPE QUESTIONS
(d) A is false but R is true. F. Solve the following word problems
Q. 1. Assertion (A): The root of the equation given 1. A motorboat goes downstream and covers the

below is 2 . distance between X and Y in 4 hours, while it

covers the same distance upstream in 6 hours. If
3
the speed of the stream is 3 km/h, then find the
3 2 1 speed of the boat in still water.
5x – 3x = 10 2. The distance between two stations A and B is
Reason (R): The value of the variable which 310 km. Two motorcyclists start simultaneously
makes the left hand side equal to the right hand from A and B in the opposite directions and the
side of the given equation is called the solution distance between them after 4 hours is 30 km.
or the root of the equation. If the speed of one motorcyclist is less than that
Q. 2. Assertion (A): A linear equation in one variable of the other by 10 km/h, find the speed of each
motorcyclist.
x can be written as ax + bx + c = 0
2
Reason (R): A linear equation in one variable 3. In a wedding party, there are 990 persons. The
number of women is four times the number
has at most one solution. It may have a rational of men and the number of men is twice the
number as its solution. number of children. How many men are there
in the party?

INTEGRATED QUESTION
G. Account Vs Maths
Neha and Rohan collected data of marks obtained in the subjects Mathematics and English by some of their
friends. This data is shown with the help of the table given below. Answer the questions given below and find the
unknown numbers in this table.
Friends Mathematics English
1. Two times of Mohan’s English marks is three times of Mohan 6 X
his mathematics marks. Kanika Y 5

2. Six less than twice of Kanika’s Mathematics marks is
Tarun’s English marks. Tarun 7 8

3. Three more than Jeevan’s mathematics marks is equal Jeevan P 8
to Tarun’s English marks. Sonia 5 Z

4. Twice the marks that Mohan got in mathematics is three more than three times of Sonia’s marks in English.

HOTS

1. From the table given below, find which equation represents the relation correctly.

x 0 1 2 3
y 100 125 150 175

(i) y 1 x 100 (ii) y 1 x 100 (iii) y = 2x + 100 (iv) y = 25x + 100
25 2
2. There are some benches in a classroom. If 4 students sit on each bench, three benches are left vacant; and if
3 students sit on each bench, 3 students are left standing. What is the total number of students in the class?