# Class 8

Explore popular questions from Linear Equations in One Variable for Class 8. This collection covers Linear Equations in One Variable previous year Class 8 questions hand picked by experienced teachers.

Linear Equations in One Variable

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Q 1. Solve {tex} \frac { 2 x - 3 } { 2 } - \frac { x + 1 } { 3 } = \frac { 3 x - 8 } { 4 } {/tex}

A

1

2

C

{tex} \frac { 4 } { 5 } {/tex}

D

{tex} \frac { 5 } { 8 } {/tex}

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Q 2. Solve {tex} : \frac { 7 y + 4 } { y + 2 } = \frac { - 4 } { 3 } {/tex}

A

{tex} \frac { 5 } { 8 } {/tex}

{tex} \frac { - 4 } { 5 } {/tex}

C

1

D

{tex} \frac { - 5 } { 8 } {/tex}

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Q 3. The value of {tex} x , {/tex} for which {tex} \frac { 1 - x } { 2 - x } = 0 {/tex} is

A

{tex}\frac{ 1}{2} {/tex}

B

{tex} - 1 {/tex}

1

D

{tex}\frac{ -1}{2} {/tex}

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Q 4. If {tex} 5 ( x - 3 ) - 4 ( x - 2 ) = 0 {/tex} then the value of {tex} x {/tex} is

7

B

{tex} - 7 {/tex}

C

8

D

{tex} - 8 {/tex}

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Q 5. The sum of two number is 45 and their ratio is {tex} 7: 8 . {/tex} The numbers are

A

28 : 32

B

35 : 40

21 : 24

D

none of these

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Q 6. Five times the number increased by 4 is equal 39. The number is

A

4

B

5

7

D

6

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Q 7. If {tex} \frac { 5 x } { 6 } + \frac { 3 x } { 4 } = \frac { 19 } { 12 } , {/tex} then the value of {tex} x {/tex} is

A

-1

B

-2

1

D

2

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Q 8. The solution of the equation {tex} ( p + 2 ) ( p - 3 ) + ( p - 3 ) ( p - 4 ) = p ( 2 p - 5 ) {/tex} is

2

B

7

C

5

D

None

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Q 9. The equation {tex} \frac { 12 x + 1 } { 4 } = \frac { 15 x - 1 } { 5 } + \frac { 2 x - 5 } { 3 x - 1 } {/tex} is true for

A

{tex} x = 1 {/tex}

B

{tex} x = 2 {/tex}

C

{tex} x = 5 {/tex}

{tex} x = 7 {/tex}

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Q 10. Pick up the correct value {tex} x {/tex} for which {tex} \frac { x } { 0.5 } - \frac { 1 } { 0.05 } + \frac { x } { 0.005 } - \frac { 1 } { 0.0005 } = 0 {/tex}

A

{tex} x = 0 {/tex}

B

{tex} x = 1 {/tex}

{tex} x = 10 {/tex}

D

None

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Q 11. The angle {tex} \mathrm A {/tex} of a triangle {tex} \mathrm{A B C} {/tex} is equal to the sum of the two other angles. Also the ratio of the angle {tex} \mathrm B {/tex} to angle {tex} \mathrm C {/tex} is {tex} 4: 5 . {/tex} The three angles are

{tex} 90 ^ { \circ } , 40 ^ { \circ } , 50 ^ { \circ } {/tex}

B

{tex} 90 ^ { \circ } , 55 ^ { \circ } , 35 ^ { \circ } {/tex}

C

{tex} 90 ^ { \circ } , 60 ^ { \circ } , 30 ^ { \circ } {/tex}

D

None of these

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Q 12. The age of Reena and Tina are in the ratio 3 : 4. Five years ago their age was in ratio 2 : 3. Find their present ages.

{tex} 15,20 {/tex}

B

{tex} 20,80 {/tex}

C

{tex} 30,40 {/tex}

D

{tex} 12,16 {/tex}

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Q 13. The perimeter of a rectangle is 72 m. Its length is 10 m more than the breadth. Find the length and breadth of the rectangle.

{tex} 13,23 {/tex}

B

{tex} 14,24 {/tex}

C

{tex} 15,25 {/tex}

D

{tex} 12,22 {/tex}

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Q 14. A number plus two-third of itself, plus half to itself, plus one-seventh of itself equals 97. Find the number.

A

24

B

46

42

D

62

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Q 15. A laborer was engaged for a month ( 30 days) on the condition that he will receive Rs. 60 each day he works and will be fined Rs. 10 each day he is absent. At the end of the month he received Rs. 1380. How many days did he work?

A

25

B

28

24

D

23

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Q 16. Rohan spent, {tex} \frac { 1 } { 2 } {/tex} of his pocket money on lunch, {tex} \frac { 1 } { 3 } {/tex} on conveyance and gave the remaining money to his sister Sweety. If Sweety got Rs. {tex} 5 , {/tex} how much pocket money did Rohan get? How much did he spend on lunch?

15

B

13

C

14

D

12

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Q 17. Two third of a number increased by 19 gives the result as 29. Find the number.

A

25

15

C

12

D

14

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Q 18. Divide 18 into two parts such that the larger part divided by the smaller part gives the quotient 2. What is the larger part?

A

6

12

C

9

D

18

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Q 19. Rahul has 260 coins of Re. 1, Rs. 2 and Rs. 5 altogether. The total value of the money is Rs.309. The number of Rs.2 coins is three times the number of Rs.5 coins. Find the number of Rs. 1 coins.

232

B

200

C

210

D

243

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Q 20. The numerator of a fraction is six more than the denominator. If the numerator is increased by 5 and the denominator is decreased by {tex} 1 , {/tex} the fraction becomes {tex} \frac { 3 } { 2 } . {/tex} Find the denominator.

25

B

{tex} \frac { 27 } { 29 } {/tex}

C

{tex} \frac { 1 } { 25 } {/tex}

D

{tex} \frac { 29 } { 30 } {/tex}

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Q 21. Solve {tex} : \frac { x ^ { 2 } - ( x + 2 ) ( x + 3 ) } { x + 3 } = \frac { 2 } { 3 } {/tex}

A

{tex} \frac { 24 } { 17 } {/tex}

{tex} \frac { - 24 } { 17 } {/tex}

C

{tex} \frac { 28 } { 17 } {/tex}

D

{tex} \frac { - 28 } { 17 } {/tex}

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Q 22. The diagonal of a rectangle is 5 cm and one of it sides is 4 {tex} \mathrm { cm } {/tex}. Its area is

A

20 {tex} { cm } ^ { 2 } {/tex}

12 {tex} { cm } ^ { 2 } {/tex}

C

10 {tex} { cm } ^ { 2 } {/tex}

D

None