CBSE Questions for Class 8 Maths Linear Equations In One Variable Quiz 10 - MCQExams.com

The height of pole $$A$$ is $$\dfrac { 5 }{ 6 } $$ of pole $$B$$, and the height of pole $$B$$ is $$\dfrac { 1 }{ 2 } $$ of pole $$C$$. If the height of pole $$C$$ is $$72 m$$, how tall is pole $$A$$?
  • $$60 m$$
  • $$30 m$$
  • $$18 m$$
  • $$12 m$$
If $$p$$ is added to $$-5$$, the result is $$7$$. Hence $$3p=$$________
  • $$6$$
  • $$18$$
  • $$36$$
  • $$4$$
Kishore has Rs.$$p$$. Hari has Rs.$$3$$ more than Kishore and Ashok has Rs.$$7$$ less than Hari. Altogether the three boys have Rs.$$20$$. How much money does Kishore have?
  • Rs.$$30$$
  • Rs.$$10$$
  • Rs.$$7$$
  • Rs.$$3$$
If one-third of a two digit number exceeds its one-fourth by $$8$$, then what is the sum of the digits of the number?
  • $$6$$
  • $$13$$
  • $$15$$
  • $$17$$
If $$1$$ is subtracted from the numerator of a fraction it becomes $$\dfrac 13$$, and if $$5$$ added to the denominator, the fraction becomes $$\dfrac 14$$. Which fraction shall result if $$1$$ is subtracted from the numerator and $$5$$ is added to the denominator?
  • $$\dfrac 5{12}$$
  • $$\dfrac 7{12}$$
  • $$\dfrac 1{8}$$
  • $$\dfrac 23$$
If $$14$$ is taken away from one - fifth of a number, the result is $$20$$. The equation expressing this statement is:
  • $$\dfrac{x}{5}-14=20$$
  • $$x-\left (\dfrac{14}{5}\right)=\left (\dfrac{20}{5}\right)$$
  • $$x-14=\left (\dfrac{20}{5}\right)$$
  • $$x+4\left (\dfrac{14}{5}\right)=20$$
If the sum of two numbers is $$84$$ and their difference is $$30$$, the numbers are:
  • $$-57$$ and $$27$$
  • $$57$$ and $$27$$
  • $$57$$ and $$-27$$
  • $$-57$$ and $$-27$$
If five times a number increased by 8 is 83, then the number is:
  • $$12$$
  • $$15$$
  • $$11$$
  • $$2$$
If $$\cfrac{(x + 0.7x)}{2} = 0.85$$, then the value of $$x$$ is:
  • $$2$$
  • $$1$$
  • $$-1$$
  • $$0$$
The numerator of a fraction is $$6$$ less than the denominator. If $$3$$ is added to the numerator, the fraction is equal to $$\cfrac{2}{3}$$, find the original fraction
  • $$\dfrac 39$$
  • $$\dfrac 69$$
  • $$\dfrac 37$$
  • None of these
Tank $$A$$ contains $$5$$ times as much water as Tank $$B$$. How much water must be transfer from Tank $$A$$ to Tank $$B$$ so that each tank contains $$45$$ liters of water?
  • $$30\ litres$$
  • $$60\ litres$$
  • $$75\ litres$$
  • $$45\ litres$$
Half of a number is added to $$18$$, then the sum is $$46$$. The number is ______ .
  • $$92$$
  • $$56$$
  • $$65$$
  • $$0$$
The total cost of $$3$$ tables and $$2$$ chairs is Rs. $$745$$. If one table costs Rs. $$40$$ more than that of one chair, find the price of each table and chair respectively.
  • Rs. $$160$$, Rs.$$120$$
  • Rs. $$165$$, Rs.$$125$$
  • Rs.$$200$$, Rs.$$160$$
  • RS.$$120$$, RS.$$80$$
If $$6(2a-1)+8=14$$, the value of '$$a$$' is ______ .
  • $$-1$$
  • $$3\cfrac { 1 }{ 12 } $$
  • $$\cfrac{4}{10}$$
  • $$1$$
Value of $$x$$ in $$\cfrac { x }{ 4 } +\cfrac { 1 }{ 2 } =4$$ is ______ .
  • $$28$$
  • $$-28$$
  • $$14$$
  • $$-14$$
The perimeter of a triangle is $$45\ cm$$. Length of the second side is twice the length of first side. The third side is $$5$$ more than the first side. Find the length of each sides.
  • $$11,19,15$$
  • $$10,20,15$$
  • $$10,16,19$$
  • $$13,15,17$$
A drum of kerosene oil is $$\cfrac{3}{4}$$ full. When $$15$$ liters of oil is drawn from it, it is $$\cfrac{7}{12}$$ full. The capacity of the drum is _____.
  • $$45$$ litres
  • $$90$$ litres
  • $$60$$ litres
  • Can't be determined
Form an equation of the form $$ax + b = c$$, where $$a$$, $$b$$ and $$c$$ are constants, such that the solution of the equation is $$x = 4$$.
  • 2x + 5 = 15
  • 7x + 2 = 10
  • 5x + 4 = 16
  • 3x + 4 = 16
Divide Rs. $$3010$$ among A, B, C respectively in such a way that A gets double of what B gets and B gets double of what C gets.
  • Rs. $$1720$$, Rs. $$860$$, Rs. $$430$$
  • Rs. $$1640$$, Rs. $$920$$, Rs. $$450$$
  • Rs. $$1690$$, Rs. $$825$$, Rs. $$495$$
  • Rs. $$1800$$, Rs. $$400$$, Rs. $$810$$
Which of the following statement do not hold in solving the equation $$15 + 3x = 3$$?
  • $$3x = 3 -15$$
  • $$15 - 3 = -3x$$
  • $$15+\dfrac {3x}{3}=3$$
  • $$\dfrac {15}{3}$$ + $$\dfrac {3x}{3}$$ = $$\dfrac {3}{3}$$
Solve for x : $$\dfrac {6x-2}{9}+\dfrac {3x+5}{18} = \dfrac {1}{3}.$$
  • $$\dfrac {1}{3}$$
  • $$\dfrac {2}{3}$$
  • $$\dfrac {3}{5}$$
  • $$\dfrac {8}{3}$$
A container is $$\dfrac{1}{8}$$ full of water. After $$10$$ cups of water are added, the container is $$\dfrac{3}{4}$$ full. What is the volume of the container, in cups?
  • $$13\dfrac{1}{3}$$
  • $$13\dfrac{1}{2}$$
  • $$15$$
  • $$16$$
  • $$40$$
A boy was asked to multiply a given number by $$\dfrac{8}{17}.$$ Instead, he divided the given number by $$\dfrac{8}{17}$$ and got the result $$225$$ more than what he should have got if he had multiplied the number by $$\dfrac{8}{17}.$$ The given number was
  • $$8$$
  • $$17$$
  • $$64$$
  • $$136$$
If $$\dfrac {9}{5}$$ of a number is 45, what is $$\dfrac {1}{5}$$ of the same number?
  • $$5$$
  • $$25$$
  • $$30$$
  • $$81$$
If $$\dfrac {2}{5}(5x+1)+\dfrac {3}{5} = 1$$, then what is the value of 5 x?
  • $$\dfrac {-1}{5}$$
  • $$1$$
  • $$0$$
  • $$\dfrac {1}{5}$$
Arpan cut a cake in two equal parts and one of these two pieces is again cut into equal parts. Each small part is of $$20$$ grams. If there are seven parts of the whole cake, what was the weight of the original cake?
  • $$140$$ grams
  • $$280$$ grams
  • $$240$$ grams
  • $$300$$ grams
The denominator of a rational number is greater than its numerator byIf 3 is subtracted from the numerator and 2 is added to the denominator, the new number becomes $$\displaystyle \frac{1}{5}$$. Then the original fraction was _________.
  • $$\displaystyle \frac{7}{11}$$
  • $$\displaystyle \frac{3}{5}$$
  • $$\displaystyle \frac{5}{8}$$
  • $$\displaystyle \frac{4}{7}$$
The sum of 4 consecutive numbers isThen the last number is
  • 22
  • 27
  • 36
  • 25
The two digit number having the unit digit $$x + 5$$ and ten's digit $$x - 5$$ is _______.
  • $$11x + 55$$
  • $$11x - 45$$
  • $$9x - 55$$
  • $$2x + 10$$
$$A$$ has certain amount in his account. He gives half of this to his eldest son and one third of the remaining to his youngest son. The amount left with him now is
  • $$\cfrac { 1 }{ 3 } $$ of the original
  • $$\cfrac { 2 }{ 5 } $$ of the original
  • $$\cfrac { 3 }{ 4 } $$ of the original
  • $$\cfrac { 1 }{ 6 } $$ of the original
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