Explore topic-wise MCQs in 8th Class.

This section includes 2318 Mcqs, each offering curated multiple-choice questions to sharpen your 8th Class knowledge and support exam preparation. Choose a topic below to get started.

1651.

If the cost price of 6 articles is equal to the selling price of 4 articles, then the gain per cent is

A. 35% 
B. 0.45
C. 40% 
D. 0.5
Answer» E.
1652.

If \[x+\frac{1}{x}=5\], find the value of \[{{x}^{4}}+\frac{1}{{{x}^{4}}}\].

A.  144      
B.  400    
C.  236     
D.         527    
Answer» E.
1653.

If \[3x-7y=10\] and \[xy=-1\], then the value of \[9{{x}^{2}}+49{{y}^{2}}\] is __.

A.  58        
B.  142    
C.  104     
D.         -104   
Answer» B.  142    
1654.

The difference in S.I. and C.I. on a certain sum of money in 2 years at 15% p.a. is Rs.144. Find the sum.

A.  Rs.6000         
B.               Rs.6200         
C.               Rs.6300         
D.               Rs.6400         
Answer» E.
1655.

The population of a town was decreasing every year due to migration, poverty and unemployment. The present population of the town is 6, 31, 680. Last year the migration was 4% and the year before last, it was 6%. What was the population two years ago?

A.  9,00,000         
B.  5.00,000        
C.  6,00,000        
D.         7,00,000        
Answer» E.
1656.

The price value of the share of a company increased at the rate of 15% in a year and decreased at the rate of 10% in the next year. What will be the value of share after 2 years if the present value of the share is Rs 2000?

A.  Rs 2050        
B. Rs 2020
C.  Rs 2070    
D.      Rs 2090
E.  None of these
Answer» D.      Rs 2090
1657.

Given that \[T=\frac{2\,\pi \,l}{\sqrt{{{l}^{2}}+{{g}^{2}}}},\] find the value of T if \[\pi =3.142,\,\,\,l=7.89\] and \[g=9.81\], (Give your answer correct to 3 significant figures.)

A.  \[3.94\]        
B.  \[394\]     
C.  \[39.4\]   
D.      \[4.39\]        
Answer» B.  \[394\]     
1658.

In what time will Rs.72 become Rs. 81 at \[{{n}_{1}}+{{n}_{2}}+.....{{n}_{k}}\]p.a. SI?

A.  \[V={{V}_{0}}{{\left( 1-\frac{{{R}_{1}}}{100} \right)}^{{{n}_{1}}}}.{{\left( 1-\frac{{{R}_{2}}}{100} \right)}^{{{n}_{2}}}}....{{\left( 1-\frac{{{R}_{k}}}{100} \right)}^{{{n}_{k}}}}\]year       
B.  \[=P{{\left( 1+\frac{R}{100} \right)}^{n}}\]years 
C. 2 years   
D. None of these
Answer» D. None of these
1659.

If 30% of \[140=x%\] of 840, then the value of x is___.

A.  5          
B.  15      
C.  24       
D.      60       
Answer» B.  15      
1660.

By selling 20 mangoes, a person recovers the price of 25 mangoes. What is the profit percentage?

A.  \[20%\]        
B.            \[25%\]     
C.            \[27.5%\]     
D.            \[22.5%\]      
Answer» C.            \[27.5%\]     
1661.

The simple interest at x% for x years will be Rs. x on a sum of__.

A.  Rs. X   
B.  Rs. 100x        
C.  \[\text{Rs}\text{.}\left( \frac{100}{x} \right)\]
D.      \[\text{Rs}\text{.}\left( \frac{100}{{{x}^{2}}} \right)\]     
Answer» D.      \[\text{Rs}\text{.}\left( \frac{100}{{{x}^{2}}} \right)\]     
1662.

A book is marked at \[Rs.880\]and sold for \[Rs.770,\]what is the discount percentage?

A.  \[20%\]        
B.            \[25%\]     
C.            \[12.5%\]     
D.            \[15%\]        
Answer» D.            \[15%\]        
1663.

Russet's income was first increased by 15 %, then decreased by 8 %. If his latest income is Rs 37260, then find his original income.

A.  Rs 30,000      
B.       Rs 32,000
C.  Rs 32,800
D.  Rs 35,600
E.  None of these
Answer» B.       Rs 32,000
1664.

Match column I with column II and select the correct answer II using the code given below the columns:     Column - I Column- II (A) \[xy=b,\] (p) \[\frac{1}{{{x}^{3}}}+\frac{1}{{{y}^{3}}}\] (B) \[\frac{{{a}^{3}}-3ab}{{{b}^{3}}}\] (q) \[\frac{{{a}^{3}}-3a}{{{b}^{3}}}\] (C) \[\frac{{{a}^{3}}-3}{h}\] (r) \[\frac{{{a}^{3}}-3}{{{b}^{2}}}\] (D) \[x=\frac{1}{2}\] (s) \[\begin{align}   & x+\overset{1}{\mathop{\_\_\_\_\_\_\_}}\, \\  & 1+\overset{1}{\mathop{\_\_\_\_}}\, \\  & 1+\frac{1}{x} \\ \end{align}\] (E) \[\frac{5}{4}\] (t) \[\frac{4}{5}\] (F)  \[\frac{3}{4}\] (u) \[{{2}^{2x-y}}=32\]

A.  \[{{2}^{x+y}}=16\]\[{{x}^{2}}+{{y}^{2}}\]
B. \[x-\frac{1}{x-2}=2-\frac{1}{x-2},\]\[(E)\to (t),\,(F)\to (p)\]
C. \[{{x}^{2}}\]\[{{x}^{a+b+c}}\]
D. \[{{x}^{abc}}\]\[{{x}^{0}}\]
Answer» D. \[{{x}^{abc}}\]\[{{x}^{0}}\]
1665.

Which among the following is an example of disjoint sets? P = {The set of odd numbers} Q = {The set of even numbers} R = {The set of prime numbers}

A.  P and R  
B.      P and Q
C.  Q and R       
D.      All the above
E.  None of these
Answer» C.  Q and R       
1666.

A shopkeeper's price is 50% above the cost price. If he allows his customer a discount of 30% what profit does he make?

A. 15%     
B. 0.1
C. 5%      
D. 0.2
Answer» D. 0.2
1667.

60 equally priced downloads cost x. How much do 9 downloads cost?

A.  \[Rs.\frac{20}{3x}\] 
B.  \[Rs.\frac{9x}{20}\]       
C.  \[Rs.\frac{20x}{3}\]       
D.      \[Rs.\frac{3x}{20}\]
Answer» E.
1668.

At 12 O'clock, the minute hand is point East. At 4:30, in which direction will the hour hand point?

A. North-West     
B. South-West
C. South     
D. South-West
Answer» E.
1669.

A concert hall with 1000 seats is completely w filled with x boys, y girls and adults. Admission fee for an adult is Rs. 10 while a child pays \[\frac{1}{2}\] the price. Find in terms of x and y; the total amount collected.

A.  \[Rs.\,2(3000+x+y)\]
B.  \[Rs.\,(6000-x-y)\]
C.  \[Rs.\,(2000-x-y)\]
D.  \[Rs.\,5(2000-x-y)\]
Answer» E.
1670.

An item when sold for Rs. 1169 earned 40% profit on the cost price. What is the cost price?

A. Rs. 835          
B.           Rs. 701.40
C. Rs. 800          
D.           Rs. 840
Answer» B.           Rs. 701.40
1671.

Divide  Rs. 8000 into two parts so that the SI on the first part for 5 years at 12% per annum is equal to SI on the second part for 2 years at 18 % per annum?

A. 2000, 6000  
B. 5000, 3000
C. 4000, 4000     
D. None of these
Answer» C. 4000, 4000     
1672.

If n\[\left( A\text{ }\times \text{ }B \right)\text{ }=\text{ }48\], n \[(B\,\,\times \,\,C)=\,\,64\] and n (B) =4, then n \[\left( A\text{ }\times \text{ }C \right)\] =?

A. 180       
B. 192     
C. 178       
D. 208
E. None of these
Answer» C. 178       
1673.

In 10 years A will be twice as old as B was 10 years ago. Find the age of A if he is now 9 years older than B.

A. 39yrs         
B. 48yrs
C. 30yrs         
D. 45yrs
Answer» C. 30yrs         
1674.

Sam invested Rs. 15000 at 10% per annum for one year. If the interest is compounded half-yearly, then the amount received by Sam at the end of the year will be

A.  Rs. 16500       
B.  Rs. 16525.50
C.      Rs. 16537.50
D.      Rs. 18150      
Answer» D.      Rs. 18150      
1675.

If \[U=\left\{ 1,\text{ }3,\text{ }5,\text{ }7,\text{ }9,\text{ }a,\text{ }b,\text{ }c,\text{ }d \right\}\]and \[A=\left\{ 1,\text{ }3,\text{ }5 \right\}\]and \[B=\left\{ a,\text{ }b,\text{ }c \right\}\]then \[\left( A\bigcup B \right)'\]

A.  \[\left\{ 3,\text{ }3,\text{ }5,\text{ }a,\text{ }b,\text{ }c \right\}\]
B.      1, 3, 5
C.  \[\left\{ a,\text{ }b,\text{ }c \right\}\]
D. \[\left\{ 7,\text{ }9,\text{ }d \right\}\]
E.  None of these
Answer» E.  None of these
1676.

How old is a man now who, 20 years ago, was five times as old as his son who will be 41 years old 16 years after?

A. 40 years    
B. 45 years
C. 48 years        
D. 50 years
Answer» C. 48 years        
1677.

If a clock strikes 12 in 33 seconds, it will strike 6 in how many seconds?

A.  \[\frac{33}{2}\]
B. 15
C. 12         
D. 22
Answer» C. 12         
1678.

In a quiz programme the ratio of correct answers to incorrect answers is 5:2. If 16 incorrect answers are given then the number of correct answers given is

A. 80       
B. 40
C. 20       
D. 30
Answer» C. 20       
1679.

One pendulum ticks 57 times in 5 8 sec, while another ticks 608 times in 609 sec. If they started together, then how often will they tick together in the first hour?

A. 47  
B. 53
C. 57  
D. 67
Answer» D. 67
1680.

In how many years will the simple interest on a sum of money be equal to the principal at the rate of \[16\frac{2}{3}%\] per annum?

A. 4
B.          5
C. 6
D.          8
Answer» D.          8
1681.

If \[\left( x-p+y-q \right)=8\]and \[\left( x\text{ }p+x\text{ }q+y\text{ }p+y\text{ }q \right)=16,\]then find the value of\[{{\left( x+y \right)}^{2}}+\]\[{{\left( p+q \right)}^{2}}\].

A. 96          
B. 64          
C. 48
D. 80
E. None of these
Answer» B. 64          
1682.

Two sides of a rectangle are \[(3p+5q)\] units and \[(5p-7q)\]units. What is its area in sq. units?

A.  \[15{{p}^{2}}+4pq-35{{q}^{2}}\]
B.  \[15{{p}^{2}}-4pq+35{{q}^{2}}\]
C.  \[15{{p}^{2}}+14pq+35{{q}^{2}}\]
D.  \[15{{p}^{2}}-14pq-35{{q}^{2}}\]
Answer» B.  \[15{{p}^{2}}-4pq+35{{q}^{2}}\]
1683.

A boy has enough money to buy 20 books. If each book costs 25 paise less, he could buy two more books and still have 70 paise left. The money boy has is?

A. Rs. 16        
B. Rs. 24
C. Rs. 48       
D. Rs. 36
Answer» D. Rs. 36
1684.

5% of 10% of Rs.175 is equal to:

A. Rs.8.75       
B. Rs.0.50
C. Rs.0.875 
D. Rs.17.50
Answer» D. Rs.17.50
1685.

If S.P. of an article is \[\frac{4}{3}\] of its C.P. What is the profit percentage in the transaction?

A.  \[\frac{1}{3}%\]        
B.            \[20\frac{1}{2}%\]    
C.            \[33\frac{1}{3}%\]   
D.            \[25\frac{1}{2}%\]   
Answer» D.            \[25\frac{1}{2}%\]   
1686.

Factors of \[{{x}^{2}}+\frac{1}{{{x}^{2}}}+2-2x-\frac{2}{x}\] are

A.  \[x-\frac{1}{x}\]  
B.  \[x+\frac{1}{x}-1\]
C.  \[x+\frac{1}{x}\]
D. None of these
Answer» C.  \[x+\frac{1}{x}\]
1687.

Ratish sells a scooty at a profit of 8 % for Rs 16200. if he reduces the selling price to Rs 15300, find his gain/loss percent.

A.  2 % loss
B.  2 % gain
C.  4 % loss   
D.     4 % gain
E.  None of these
Answer» C.  4 % loss   
1688.

C.P =.................., when S.P = Rs. 40.60 and gain = 16%

A. Rs. 35   
B.          Rs. 30
C. Rs. 40   
D.          Rs. 45
Answer» B.          Rs. 30
1689.

In how many years will a sum of \[Rs.\text{ }800\]at 10% per annum compounded semi-annually become \[Rs.\text{ }926.10\]?

A.  \[1\frac{1}{3}\]      
B.            \[1\frac{1}{2}\]    
C.            \[2\frac{1}{3}\]      
D.            \[2\frac{1}{2}\]      
Answer» C.            \[2\frac{1}{3}\]      
1690.

The value of \[P(x)={{x}^{3}}+{{x}^{2}}+2x+3\] is

A.  \[x+2=0\]       
B.  \[x=-2\]
C.  \[P(x)={{x}^{3}}+{{x}^{2}}+2x+3\]   
D.  \[P(-2)={{(-2)}^{3}}+{{(-2)}^{2}}+2(-2)+3\]
Answer» E.
1691.

If \[(2,2)\] and y = 1, then the value of \[\left( -\frac{4}{3},2 \right)\] is:

A.  \[\frac{1}{x}-\frac{3}{4}+\frac{1}{2+x}=0\]       
B.  \[\left( 2,-\frac{3}{4} \right)\]
C.  \[(5,4)\]
D.  \[(-8,0)\]
Answer» E.
1692.

In 1 hour, Ratish walks twice the distance that Sumit walks in the same period. In 8 hours, Ratish walks 6 miles more than what sumit walks in 10 hours. How many miles does sumit walk in 5 hours?

A.
B. 4
C. 5     
D. 6
E. None of these
Answer» D. 6
1693.

The product of two number remains constant; if one of them increases by 40%, by what % does the second get diminished?

A.  \[=\frac{P}{{{\left( 1-\frac{R}{100} \right)}^{n}}}\]         
B.  \[\frac{a}{b}=K\]  
C.  \[{{a}_{1}}\]     
D. 60%   
Answer» B.  \[\frac{a}{b}=K\]  
1694.

The price of an article diminished twice successively, first by 30% and then by 40%. If the original price was Rs.1000, what is it now?

A. Rs.400        
B. Rs.300
C. Rs.240        
D. Rs.420
Answer» E.
1695.

If the cost price of 10 apples is equal to the selling price of 8 apples. Find the gain or loss percent.

A.  20 % loss
B.   25 % profit
C.  20 % profit         
D.     25 % loss
E.  None of these
Answer» B.   25 % profit
1696.

Which among the following is a universal set for the other three sets?

A.  The set of natural numbers.
B.  The set of whole numbers.
C.  The set of integers.
D.  The set of negative of natural numbers.
E.  None of these
Answer» D.  The set of negative of natural numbers.
1697.

A sum of Rs.450 amounts to Rs.495 in 2 years, hi what time will the sum of Rs.820 amount to Rs. 943 at the same rate?

A. 3 years
B. 2 years       
C. 4 years        
D. 6 years
Answer» B. 2 years       
1698.

The CI on Rs.8000 for 1 year at 5% p.a. payable half-yearly is

A. Rs.800      
B. Rs.810
C. Rs.400        
D. Rs.405
Answer» E.
1699.

If \[x-\frac{1}{x}=\sqrt{6},\] find the value of \[{{x}^{2}}+\frac{1}{{{x}^{2}}}\].

A.  \[2\]
B.  \[4\]    
C.  \[6\]  
D.      \[8\]
Answer» E.
1700.

Let U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}, A = {1, 2, 5}, B = {6, 7}, then A n B' is

A.  B? 
B.      A  
C.  A'
D.      B
E.  None of these
Answer» C.  A'