Test Details

Pair of Linear Equations in Two Variables

Mcqs

Feb 05, 7:00 PM

60 minutes

Feb 10, 8:00 PM

30.0 marks

MCQ

15 questions

SOFI, HILAL AHMAD

teaching high school math from more than 8 years

Class Details

Math

Class 10th

Math

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Question Text

Question 1 :
The ratio of incomes of two persons is 9 : 7 and the ratio of their expenditures is 4 : 3. If each of them manages to save Rs. 2000 per month, find their monthly incomes.

Question 2 :
Solve the following pair of equations by reducing them to a pair of linear equations : $\frac{4}{x} + 3y = 14 ; \frac{3}{x} - 4y =23 $.

Question 3 :
Five years ago, Nuri was thrice as old as Sonu. Ten years later, Nuri will be twice as old as Sonu. How old are Nuri and Sonu?

Question 4 :
The coach of a cricket team buys 3 bats and 6 balls for Rs. 3900. Later, she buys another bat and 3 more balls of the same kind for Rs. 1300. Which of these represent this situation algebraically?

Question 5 :
Other than algebraical methods, how can the pair of linear equations be solved?

Question 6 :
For what values of k will the following pair of linear equations have infinitely many solutions? $kx + 3y – (k – 3) =0 ; 12x + ky – k =0$

Question 7 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b19bde273b230584979a32.JPG' /> In the above fig, ABCD is a cyclic quadrilateral. Find the values of x and y.

Question 8 :
If the lines are represented by the equation $a_1x + b_1y + c_1 =0$ and $a_2x + b_2y + c_2 =0$, then the lines are parallel when _____________.

Question 9 :
A person, rowing at the rate of 5 km/h in still water, takes thrice as much time in going 40 km upstream as in going 40 km downstream. Find the speed of the stream.

Question 10 :
Solve, by substitution : $x + 2y – 4 =0 , 2x + 4y – 12 =0$

Question 11 :
Find out whether the lines representing a pair of linear equations are consistent or inconsistent: $x – y = 8 , 3x – 3y = 16$

Question 12 :
Romila went to a stationery shop and purchased 2 pencils and 3 erasers for Rs. 9. Her friend Sonali saw the new variety of pencils and erasers with Romila, and she also bought 4 pencils and 6 erasers of the same kind for Rs. 18. Which of these represent this situation algebraically ?

Question 13 :
Is x = 1, y = 1 a solution of $2x + 3y = 5$?

Question 14 :
For which values of a and b does the following pair of linear equations have an infinite number of solutions? $2x + 3y = 7 ; (a – b) x + (a + b) y = 3a + b – 2$

Question 15 :
The taxi charges in a city consist of a fixed charge together with the charge for the distance covered. For a distance of 10 km, the charge paid is Rs. 105 and for a journey of 15 km, the charge paid is Rs. 155. What are the fixed charges and the charge per km?

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