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Test: Equations Reducible to Linear Form


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20 Questions MCQ Test Mathematics (Maths) Class 10 | Test: Equations Reducible to Linear Form

Test: Equations Reducible to Linear Form for Class 10 2022 is part of Mathematics (Maths) 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 2022 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: Equations Reducible to Linear Form below.
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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:  , 

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%

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