Test Details

Pair of Linear Equations in Two Variables

Dec 26, 12:00 AM

120 minutes

Dec 26, 12:00 PM

22.0 marks

MCQ

11 questions

KRITIKA GUPTA

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Class Details

Mathematicians

Maths

Kritika Jindal

Mathematicians

Maths

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Question Text

Question 1 :
If we add 1 to the numerator and subtract 1 from the denominator, a fraction reduces to 1. It becomes $\frac{1}{2}$ if we only add 1 to the denominator. What is the fraction?

Question 2 :
Places A and B are 100 km apart on a highway. One car starts from A and another from B at the same time. If the cars travel in the same direction at different speeds, they meet in 5 hours. If they travel towards each other, they meet in 1 hour. What are the speeds of the two cars?

Question 3 :
In case of infinitely many solutions, the pair of linear equations is said to be __________.

Question 4 :
Solve the following pair of linear equations by the substitution method : $s - t = 3 ; \frac{s}{3} + \frac{t}{2} = 6$

Question 5 :
Solve the pair of equations: $\frac{2}{x} + \frac{3}{y} = 13 ; \frac{5}{x} - \frac{4}{y} = -2$

Question 6 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b19bdd273b230584979a31.JPG' /> In the above fig, ABCD is a cyclic quadrilateral. Find the angles of the cyclic quadilateral?

Question 7 :
A lending library has a fixed charge for the first three days and an additional charge for each day thereafter. Saritha paid Rs. 27 for a book kept for seven days, while Susy paid Rs. 21 for the book she kept for five days. Find the fixed charge and the charge for each extra day.

Question 8 :
Solve the following pair of equations: x + y = 3, 3x + 3y = 9.

Question 9 :
Solve the following pair of equations: 2x + y = 6 and 2x – y + 2 = 0

Question 10 :
Ritu can row downstream 20 km in 2 hours, and upstream 4 km in 2 hours. Find her speed of rowing in still water and the speed of the current.

Question 11 :
Solve the following pair of linear equations by the substitution method : $\frac{3x}{2} - \frac{5y}{3} = -2 ; \frac{x}{3} + \frac{y}{2} = \frac{13}{6}$

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