Class 10 Exam  >  Class 10 Tests  >  Online MCQ Tests for Class 10  >  Test: Equations Reducible to Linear Form - Class 10 MCQ

Test: Equations Reducible to Linear Form - Class 10 MCQ


Test Description

20 Questions MCQ Test Online MCQ Tests for Class 10 - Test: Equations Reducible to Linear Form

Test: Equations Reducible to Linear Form for Class 10 2024 is part of Online MCQ Tests for Class 10 preparation. The Test: Equations Reducible to Linear Form questions and answers have been prepared according to the Class 10 exam syllabus.The Test: Equations Reducible to Linear Form MCQs are made for Class 10 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 Online MCQ Tests for Class 10 for Class 10 & Test: Equations Reducible to Linear Form solutions in Hindi for Online MCQ Tests for Class 10 course. Download more important topics, notes, lectures and mock test series for Class 10 Exam by signing up for free. Attempt Test: Equations Reducible to Linear Form | 20 questions in 20 minutes | Mock test for Class 10 preparation | Free important questions MCQ to study Online MCQ Tests for Class 10 for Class 10 Exam | Download free PDF with solutions
Test: Equations Reducible to Linear Form - Question 1

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

Test: Equations Reducible to Linear Form - Question 2

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

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

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

Test: Equations Reducible to Linear Form - Question 5

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

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

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

  

Test: Equations Reducible to Linear Form - Question 8

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

Test: Equations Reducible to Linear Form - Question 9

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

Test: Equations Reducible to Linear Form - Question 10

If 6x + 3y = 6xy; 2x + 4y = 5xy, then the values of x and y are​

Test: Equations Reducible to Linear Form - Question 11

The values of x and y , if  

Test: Equations Reducible to Linear Form - Question 12

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

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

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

The solution of the following pair of Linear equations is: 

 

Test: Equations Reducible to Linear Form - Question 16

Find x and y given  , 

Test: Equations Reducible to Linear Form - Question 17

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

The values of x and y that satisfy the pair of equations: 

Test: Equations Reducible to Linear Form - Question 19

If 6x + 3y= 6xy ; 2x + 4y = 5xy, then the values of xand y are​

Test: Equations Reducible to Linear Form - Question 20

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%

461 tests
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 10

Download as PDF

Top Courses for Class 10