All Courses
Get the App Signup / Login
Sign in Open App
Class 9 Exam  >  Class 9 Tests  >  Test: Equations Reducible to Linear Form - Class 9 MCQ

Test: Equations Reducible to Linear Form - Class 9 MCQ


Test Description

20 Questions MCQ Test - Test: Equations Reducible to Linear Form

Test: Equations Reducible to Linear Form for Class 9 2024 is part of Class 9 preparation. The Test: Equations Reducible to Linear Form questions and answers have been prepared according to the Class 9 exam syllabus.The Test: Equations Reducible to Linear Form MCQs are made for Class 9 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: Equations Reducible to Linear Form below.
Solutions of Test: Equations Reducible to Linear Form questions in English are available as part of our course for Class 9 & Test: Equations Reducible to Linear Form solutions in Hindi for Class 9 course. Download more important topics, notes, lectures and mock test series for Class 9 Exam by signing up for free. Attempt Test: Equations Reducible to Linear Form | 20 questions in 20 minutes | Mock test for Class 9 preparation | Free important questions MCQ to study for Class 9 Exam | Download free PDF with solutions
Test: Equations Reducible to Linear Form - Question 1
Save

The value of x, y in the following pair of Linear equations is:  , 

Test: Equations Reducible to Linear Form - Question 2
Save

The value of x, y in the following pair of Linear equations is:  , 

1 Crore+ students have signed up on EduRev. Have you? Download the App
Test: Equations Reducible to Linear Form - Question 3
Save

The sum of ages of A and B is 49 years. A said to B, “I am twice as old as you were when I was as old as you are. Find the present age of B.

Detailed Solution for Test: Equations Reducible to Linear Form - Question 3

Let the ages of A and B be a and b
Going by the statement step by step
 A says  “I am twice as old”=A says that age is twice some number which is a=2( _ )
 "as you were" which talks about past, means B’s age some times ago...which is b-(how many years ago)
So, a=2(b- (how many years ago))
“when I was as old as you are" = when A was B’s age now= When A was b years old. So no. of years from now to back then will be A’s age now minus A’s age then =a-b
a=2(b-(a-b))  
a=4b-2a
a=4b/3    …..1
Also a+b=49
a=49-b      …..2
From 1 and 2
49-b=4b/3
4b/3+b=49
7b/3=49
b=49*3/7=21 years
a=28 years

Test: Equations Reducible to Linear Form - Question 4
Save

The value of x, y in the following pair of Linear equations is:  , 
Test: Equations Reducible to Linear Form - Question 5
Save

The value ofx,y in the following pair of Linear equations is:,  
Detailed Solution for Test: Equations Reducible to Linear Form - Question 5
Firstly, let 1/√x= a and 1/√y=b 
=> 2a+3b=2   -(1) 
=> 4a-9b= -1 -(2) 
Now,  adding 3 times if equation (1)  with equation (2) 
=>    6a+9b=6
        4a-9b=-1
=>   10a=5
=> a=1/2
Now, Subsituting the value of a in equation (1) 
2(1/2) +3b=2
1+3b=2
3b=2-1
b=-1/3
Now, as a=1/√x and b=1/√y
 1/√x= 1/2 and 1/√y=1/3
=> √x=2 and √y=3
Squaring both sides
=> x=4 and y=9
Test: Equations Reducible to Linear Form - Question 6
Save

The value of x, y in the following 2x + 2 – 3y + 1 = 5 ………(1) , 2x + 3y = 17 ………(2)​
Test: Equations Reducible to Linear Form - Question 7
Save

The value of x, y in the following pair of Linear equations is: 

  ​
Test: Equations Reducible to Linear Form - Question 8
Save

The value of x, y in the following pair of Linear equations is: , 
Test: Equations Reducible to Linear Form - Question 9
Save

The value ofx, y in the following pair of Linear equations is:
Test: Equations Reducible to Linear Form - Question 10
Save

If 6x + 3y = 6xy; 2x + 4y = 5xy, then the values of x and y are​
Test: Equations Reducible to Linear Form - Question 11
Save

The values of x and y , if  
Test: Equations Reducible to Linear Form - Question 12
Save

A boat goes 35 km upstream and 42 km downstream in 11 hours. In 14 hours, it can go 43 km upstream and 59 km down-stream. To determine the speed of the stream and that of the boat in still water , express the information in the form of equations of the type ax + by + c = 0
Test: Equations Reducible to Linear Form - Question 13
Save

In an examination, one mark is awarded for every correct answer, while 1/4 mark is deducted for every wrong answer. A student answered 120 questions and got 20 marks. Which of the following pair of equations would give the result for how many questions did he answered correctly?​
Test: Equations Reducible to Linear Form - Question 14
Save

The value of x, y in the following pair of Linear equations is: , 
Where  x + y ≠ 0 and x - y ≠ 0 ?
Test: Equations Reducible to Linear Form - Question 15
Save

The solution of the following pair of Linear equations is: 

 ​
Test: Equations Reducible to Linear Form - Question 16
Save

Find x and y given  , ​
Test: Equations Reducible to Linear Form - Question 17
Save

3 women and 6 men can together finish a tailoring job in 5 days, while 4 women and 7 men can finish it in 4 days. Find the time taken by 1 woman alone to finish the work, and also that taken by 1 man alone. The linear equations(in standard form) to solve this problem algebraically are​
Test: Equations Reducible to Linear Form - Question 18
Save

The values of x and y that satisfy the pair of equations: 
​
Test: Equations Reducible to Linear Form - Question 19
Save

If 6x + 3y= 6xy ; 2x + 4y = 5xy, then the values of xand y are​
Test: Equations Reducible to Linear Form - Question 20
Save

By selling a wrist watch of Rs.405 the shopkeeper incurs a loss of 10%. What is the gain or loss percentage if he sells the same watch at Rs. 465?
Detailed Solution for Test: Equations Reducible to Linear Form - Question 20

CP = 405 / 0.9 = 450
New SP = Rs. 465
Profit (%) = [465-450 / 450] X 100 = 3.33%

Information about Test: Equations Reducible to Linear Form Page
In this test you can find the Exam questions for Test: Equations Reducible to Linear Form solved & explained in the simplest way possible. Besides giving Questions and answers for Test: Equations Reducible to Linear Form, EduRev gives you an ample number of Online tests for practice

Top Courses for Class 9

Download as PDF

Top Courses for Class 9

Important Questions for Equations Reducible to Linear Form

Find all the important questions for Equations Reducible to Linear Form at EduRev.Get fully prepared for Equations Reducible to Linear Form with EduRev's comprehensive question bank and test resources. Our platform offers a diverse range of question papers covering various topics within the Equations Reducible to Linear Form syllabus. Whether you need to review specific subjects or assess your overall readiness, EduRev has you covered. The questions are designed to challenge you and help you gain confidence in tackling the actual exam. Maximize your chances of success by utilizing EduRev's extensive collection of Equations Reducible to Linear Form resources.

Equations Reducible to Linear Form MCQs with Answers

Prepare for the Equations Reducible to Linear Form within the Class 9 exam with comprehensive MCQs and answers at EduRev. Our platform offers a wide range of practice papers, question papers, and mock tests to familiarize you with the exam pattern and syllabus. Access the best books, study materials, and notes curated by toppers to enhance your preparation. Stay updated with the exam date and receive expert preparation tips and paper analysis. Visit EduRev's official website today and access a wealth of videos and coaching resources to excel in your exam.

Online Tests for Equations Reducible to Linear Form

Practice with a wide array of question papers that follow the exam pattern and syllabus. Our platform offers a user-friendly interface, allowing you to track your progress and identify areas for improvement. Access detailed solutions and explanations for each test to enhance your understanding of concepts. With EduRev's Online Tests, you can build confidence, boost your performance, and ace Equations Reducible to Linear Form with ease. Join thousands of successful students who have benefited from our trusted online resources.
© EduRev
Education Revolution
Follow Us
Signup to see your scores go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup