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CBSE Questions for Class 8 Maths Linear Equations In One Variable Quiz 12 - MCQExams.com
CBSE
Class 8 Maths
Linear Equations In One Variable
Quiz 12
A linear equation in one variable has
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Only one solution
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Two solution
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More than two solutions
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No solution
Explanation
$$\textbf{Step - 1: Defining}$$
$$\text{A linear equation is a relation between variables of degree 1. }$$
$$\text{A linear equation in one variable is a relation of a variable of power 1}$$
$$\implies \text{It has only one solution}$$
$$\textbf{Hence option A is correct}$$
If the mean of $$5, 7, 9, x $$ is $$9$$ then the value of $$ x $$ is
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$$11$$
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$$15$$
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$$18$$
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$$16$$
Explanation
Mean is defined as summation of all entities divided by number of entities.
According to the given condition,
$$9=\dfrac{5+7+9+x}{4}$$
$$21+x=36$$
$$x=36-21\\\ \ \ =15$$
Lakshmi is a cashier in a bank. She has notes of denomination of Rs. 20, Rs. 10 and Rs.The ratio of number of these notes is $$1 : 2 : 3$$. The total cash with Lakshmi is Rs. $$1100$$. How many notes of Rs. $$20$$ denomination does she have?
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$$10$$
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$$20$$
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$$30$$
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None of the above.
Explanation
Let the common multiple be $$x$$.
Therefore, the number of notes of each denomination are:
Rs. $$20 = 1(x) = x$$ notes
Rs. $$10 = 2(x) = 2x$$ notes
Rs. $$5 = 3(x) = 3x$$ notes
According to the given condition, total amount with Lakshmi is Rs. $$1100$$.
$$20\left( x \right) + 10\left( 2x \right) +5 \left( 3x \right) =1100$$
$$\Longrightarrow 20x + 20x + 15x = 1100$$
$$\Longrightarrow\displaystyle 55x=1100$$
$$\Longrightarrow\displaystyle x=20$$
Therefore, Lakshmi has $$20$$ notes of Rs. $$20$$ denomination.
Three friends, returning from a movie, stopped to eat at a restaurant. After dinner, they paid their bill and noticed a bowl of mints at the front counter. Sita took 1/3 of the mints, but returned four because she has a monetary pang of guilt. Fatima then took 1/4 of what was left but returned three for similar reasons. Eswari then took half of the remainder but threw two back into the ball. The ball has only 17 mints left when the raid was over. How many mints were originally in the bowl?
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$$38$$
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$$31$$
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$$41$$
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$$48$$
Explanation
Number of mint before Esware has taken
$$ =[ x-\dfrac{x}{2}]+2 =17$$
$$ x = 30$$
Number of mint before Fatima has taken
$$=[x-(\dfrac{x}{4})] +3 =30$$
$$x = 36$$
Number of mint before Sita has taken
$$ = [x-(\dfrac{x}{3})] +4 =36$$
$$x = 48$$
Hence there were $$48$$ mints originally.
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