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.

1551.

If M' = N, then \[(M\bigcap ~N)'\]is ____

A.  M 
B.         N
C.  \[\phi \]  
D.         \[\bigcup \]
E.  None of these
Answer» E.  None of these
1552.

On January 12, 1980, it was Saturday. The day of the week on January 12,1979 was -

A. Saturday         
B. Friday
C. Sunday  
D. Thursday
Answer» C. Sunday  
1553.

A train passes a telegraph post in 40 seconds moving at the rate of 36 km. per hour. Find the length of the train.  

A. 300m          
B. 400m
C. 500m  
D. 600m 
Answer» C. 500m  
1554.

A number is such that it is as much greater than 560 as it is less than 894.  Find \[\frac{3}{7}\] of the number.

A. 222         
B. 432         
C. 363         
D. 333
E. None of these
Answer» E. None of these
1555.

The area A, of a solid is given by the formula \[A=\pi {{r}^{2}}+2\,\pi \,rh+\pi \,rl.\]. Find the value of A given that \[\pi =3.142,\,r=10,\,h=3\] and \[l=4\].

A.  \[629\]          
B.  \[628.4\]
C.         \[630\]     
D.         \[631\]
Answer» C.         \[630\]     
1556.

In \[P(x)\]the value of a' is      

A.  \[-\]1    
B.  \[ax+b=0\]
C.  \[a\ne 0,x\]       
D. +1         
Answer» E.
1557.

The salaries of A, B and C together amount to Rs.333, if they spend 80%, 85% and 75% of their respective salaries'. If their savings are 7:6: 9, then their respective salaries are

A. Rs.102, Rs.118, Rs.113    
B. Rs.105, Rs.120, Rs.108
C. Rs.85, Rs.125, Rs.123     
D. None of these
Answer» C. Rs.85, Rs.125, Rs.123     
1558.

DIRECTIONS: Passage-2 Read the passage(s) given below and answer the questions that follow. The average of two numbers is 54. If one number is twice the other. What is the smaller number?     

A. 74        
B.          32     
C. 36        
D.          45   
Answer» D.          45   
1559.

Rahul bought a motor cycle for Rs. 45000 and paid Rs. 200 for its cartage. He sold it at a gain of 10%. What was Rahul's profit?

A. Rs. 54500       
B. Rs. 44520
C. Rs. 49720       
D. Rs. 95200
Answer» D. Rs. 95200
1560.

The average of first 10 multiples of 7 is ????..

A. 40         
B.          38.5
C. 42.5      
D.          45
Answer» C. 42.5      
1561.

A merchant buys 200 kg of rice at Rs.7.25 per kg, 400 kg of rice at Rs.5.75 per kg. He mixes them and sells one third of mixture at Rs.6 per kg. At what rate should he sell the remaining mixture so that he may earn a profit of 20% on the whole out lay?          

A. Rs.28.25 per kg                 
B. Rs.13.25 per kg
C. Rs.8.25 per kg     
D. none of these
Answer» D. none of these
1562.

In what time will Rs.1000 amount to Rs.1331 at 10% p.a. compounded annually?

A.  4 years          
B.               3 years     
C.               2 years          
D.               1 year       
Answer» C.               2 years          
1563.

The product of \[({{x}^{2}}+3x+5)\] and \[({{x}^{2}}-1)\] is

A.  \[a{{x}^{2}}+bx+c=0\]
B.  \[a\ne 0\]
C.  \[4{{x}^{2}}-4x-3=0\]
D. none of these
Answer» C.  \[4{{x}^{2}}-4x-3=0\]
1564.

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

A.  \[58\]            
B.  \[142\]     
C.  \[104\]          
D.  \[-104\]        
Answer» B.  \[142\]     
1565.

A bag contains as many ruppes in it as there are 50 paise coins. Find the number of 50 paise coins if there be Rs. 30 in all.

A. 15  
B. 30
C. 16  
D. 20
Answer» E.
1566.

Find the HCF of the polynomials \[{{x}^{2}}\text{ }+\text{ }5x\text{ }+\text{ }6\]and\[{{\left( x\text{ }+\text{ }2 \right)}^{2}}-\text{ }4x\text{ }-\text{ }8\].

A. \[\left( x+3 \right)\]         
B. \[\left( x+1 \right)\]        
C. \[\left( x+2 \right)\]          
D. \[\left( x-2 \right)\]
E. None of these
Answer» D. \[\left( x-2 \right)\]
1567.

In an office the working hours are 10.30 AM to 5.30 PM and in between 30 minutes are spent on lunch. Find the ratio of office hours to the time spent for lunch.

A. 7:30     
B. 0.0513888888888889
C. 14:1  
D. 1.25486111111111
Answer» D. 1.25486111111111
1568.

DIRECTIONS: Passage-1 Read the passage(s) given below and answer the questions that follow. Car A and Car B travelled at 60 km/hr and 64 km/hr respectively. Find the Difference in distance travelled after 3 hours by the cars.

A. 15km    
B.          12km
C. 10km              
D.          14km
Answer» C. 10km              
1569.

The cost of a vehicle is Rs.175000. If its value depreciates at the rate of 20% per annum, find the total depreciation after 3 years.

A.  Rs.86400     
B.               Rs.82500      
C.               Rs.84500     
D.               Rs.85400    
Answer» E.
1570.

A water tap fills a tank in p hours and the tap of the bottom of the tank empties it in q hours. If p is less than q and when both the taps are open, the tank is filled in r hours. Then

A.  \[\frac{1}{6}\]      
B.  \[{{m}_{1}}\]
C.  \[{{w}_{1}}\]      
D.  \[{{d}_{1}}\]
Answer» C.  \[{{w}_{1}}\]      
1571.

Two trains of equal lengths take a minute to cross each other when? Travelling in the same direction. They take 20 seconds to cross each other when travelling in opposite directions. Find the ratio of the speeds of the slower and faster train respectively.

A.  3: 4       
B.  4: 5
C.  5: 6          
D.       1: 2
E.  None of these
Answer» E.  None of these
1572.

If \[x+2=0\]find the value of\[\Rightarrow \].    

A. 3/4        
B. 44257
C. 4/3       
D. 44320
Answer» D. 44320
1573.

What is the product of \[(4x-3y)\] and \[(16{{x}^{2}}+12xy+9{{y}^{2}})\]?

A.  \[{{(4x-3y)}^{3}}\]
B.  \[{{(16{{x}^{2}}+12xy+9{{y}^{2}})}^{2}}\]
C.  \[64{{x}^{3}}-27{{y}^{3}}\]
D.  \[64{{x}^{3}}+27{{y}^{3}}\]
Answer» D.  \[64{{x}^{3}}+27{{y}^{3}}\]
1574.

DIRECTIONS: Passage-2 Read the passage(s) given below and answer the questions that follow. Cost price of an article is 800, shopkeeper sold it to Ram at a profit of 20%. Ram give it to Shyam for Rs. 1056. How much money Ram has to pay for article.

A. Rs. 1000        
B.           Rs. 960
C. Rs. 900          
D.           Rs. 850
Answer» C. Rs. 900          
1575.

If the cost of the book worth Rs.50 is increased by Rs.25, the rate of increase is  

A. 25%    
B. 0.2
C. 50%               
D. 0.1
Answer» D. 0.1
1576.

DIRECTIONS: Following questions consist of two statements, one labelled as the ?Assertion (A)? and the other as ?Reason (R)?. You are to examine these two statements carefully and select the answer to these items using the code given below. Assertion: Binomials and trinomials are multinomials. Reason: An algebraic expression having two or more terms is called a multinomial.

A. Both A and R are individually true and R is the correct explanation of A.
B. Both A and R are individually true but R is not the correct explanation of A.
C. A is true but R is false
D. A is false but R is true
Answer» B. Both A and R are individually true but R is not the correct explanation of A.
1577.

DIRECTIONS: Reade the following passage and answer the questions that follow. PASSAGE - 1 If \[=P{{\left( 1+\frac{R}{100} \right)}^{n}}\] is the value of an article at certain time which increases at the rate of \[=\frac{R}{{{\left( 1+\frac{R}{100} \right)}^{n}}}\]for first \[{{R}_{1}}%\]years and decreases at the rate of \[{{R}_{2}}%\] for next \[=P\left( 1+\frac{{{R}_{1}}}{100} \right)\times \left( 1+\frac{{{R}_{2}}}{100} \right).\] years, then the value of the article V at the end of \[=P{{\left( 1-\frac{R}{100} \right)}^{n}}.\] years is given by       \[=\frac{P}{{{\left( 1-\frac{R}{100} \right)}^{n}}}\] Consider the following statements (i) If P be the population of a city and R be the growth rate, then. Population after n \[\frac{a}{b}=K\] (ii) If P is the population of a city and R be the decay rate, then population after n years \[{{a}_{1}}\] Which of the statements(s) given above is/are correct?  

A. Only (i)       
B. Only (ii)    
C. Both (i) and (ii)                 
D. Neither (i) nor (ii)    
Answer» D. Neither (i) nor (ii)    
1578.

Find the degree of the polynomial \[5{{x}^{3}}-6{{x}^{3}}y+4{{y}^{2}}-8\].

A. \[3\]              
B. \[4\]         
C. \[2\]         
D. \[6\]    
Answer» C. \[2\]         
1579.

Find the sum of money which increases by \[=\frac{3}{2}years\]of itself every year and amounts to Rs.450 in 5 years. If calculated as per simple interest formula.

A. Rs.100        
B. Rs.150
C. Rs.300   
D. Rs.400
Answer» D. Rs.400
1580.

On what sum will the compound interest for 3 years at 5% amount s to Rs.1261?          

A. Rs.7000                
B. Rs.8000  
C. Rs.9000      
D. Rs.1000
Answer» C. Rs.9000      
1581.

The number whose 15% is 135 should be equal to

A. 900       
B.          450
C. 700       
D.          850
Answer» B.          450
1582.

Profit of an article is

A. The price at which an article is sold.
B. The price at which an article is bought
C. Difference between selling price and cost price, if selling price < cost price.
D. Difference between selling price and cost price, if selling price > cost price.
Answer» E.
1583.

If \[{{(a+b)}^{2}}={{a}^{2}}+2ab+{{b}^{2}}\], then the value of \[x+\frac{1}{1+\frac{1}{1+\frac{1}{x}}}\]is equal to

A.  \[{{(a+b)}^{3}}={{a}^{3}}+3{{a}^{2}}b+3a{{b}^{2}}+{{b}^{3}}={{a}^{3}}+{{b}^{3}}+3ab(a+b)\] 
B.  \[{{(a-b)}^{3}}={{a}^{3}}-3{{a}^{2}}b+3a{{b}^{2}}-{{b}^{3}}={{a}^{3}}-{{b}^{3}}-3ab(a-b)\]
C.  \[{{a}^{3}}+{{b}^{3}}=(a+b)({{a}^{2}}-ab+{{b}^{2}})\]         
D. none of these
Answer» B.  \[{{(a-b)}^{3}}={{a}^{3}}-3{{a}^{2}}b+3a{{b}^{2}}-{{b}^{3}}={{a}^{3}}-{{b}^{3}}-3ab(a-b)\]
1584.

Evaluate the expression \[81\text{ }{{p}^{2}}+16{{q}^{2}}-72pq\]when \[p=\frac{2}{3}\]. and \[q=\frac{3}{4}\] .

A.  \[-16\]          
B.  \[9\]         
C.         \[-9\]        
D.         \[16\]
Answer» C.         \[-9\]        
1585.

A man can row 20 km/h in still water. It takes him thrice as long to row up as to row down the river. Find the speed of the stream.

A.  8 km/h     
B.     12 km/h
C.  10 km/h   
D.         16 km/h
E.  None of these
Answer» D.         16 km/h
1586.

M men agreed to purchase a gift for Rs. C. If 3 men drop out, how much more will each have to contribute towards the purchase of the gift?

A.  \[{{w}_{2}}\]     
B.  \[{{d}_{2}}\]
C.  \[{{m}_{1}}{{d}_{1}}{{w}_{2}}={{m}_{2}}{{d}_{2}}{{w}_{1}}\]      
D.  \[\text{Averagespeed=}\frac{\text{Total distance travelled}}{\text{Total time taken}}\]
Answer» B.  \[{{d}_{2}}\]
1587.

There were only two candidates in an election. One got 62% votes and was elected by a margin of 144 votes. The total number of voters were

A. 500       
B. 600
C. 700       
D. 800
Answer» C. 700       
1588.

What must be subtracted from \[{{x}^{3}}-3{{x}^{2}}+5x-1\]to get \[2{{x}^{3}}+{{x}^{2}}-4x+2\]?

A.  \[-{{x}^{3}}+4{{x}^{2}}-9x+3\]
B.  \[{{x}^{3}}+4{{x}^{2}}-9x+3\]
C.  \[{{x}^{3}}-4{{x}^{2}}+9x-3\]
D.  \[-{{x}^{3}}-4{{x}^{2}}+9x-3\]
Answer» E.
1589.

A merchant borrowed Rs.2500 from two money lenders. For one loan he paid 12% per annum and for the other 14% per annum. The total interest paid for one year was Rs.326. How much did he borrow at each rate?

A. 1200and 1300   
B. 1350 and 1150
C. 1225 and 275       
D. none of these
Answer» B. 1350 and 1150
1590.

The average speed of a truck is 80 km/hr, the total distance covered in t hours is 240 km, then t is..............

A. 3 hours
B.          4 hours
C.  \[\frac{1}{2}\] hours       
D. \[4\frac{1}{2}\] hours
Answer» B.          4 hours
1591.

If \[{{2}^{2x-y}}=32\]and \[{{2}^{x+y}}=16\] then \[{{a}^{3}}+{{b}^{3}}+{{c}^{3}}-3abc=(a+b+c)({{a}^{2}}+{{b}^{2}}+{{c}^{2}}-ab-bc-ca)\]is equal to

A. 9
B. 10
C. 11         
D. 13
Answer» C. 11         
1592.

A train 140m long is running at 60 km/hr. In how much time will it pass a tunnel 260 m long?

A. 18 sec        
B. 24 sec
C. 30 sec         
D. 15 sec
Answer» C. 30 sec         
1593.

54%= 100%-.........................

A. 36%      
B.          45%
C. 46%      
D.          26%         
Answer» D.          26%         
1594.

Mala and Bala got 75 marks and 25 marks respectively in an examination. Find the ratio of the marks scored by Mala to the total marks obtained by both of them?

A. 3:4          
B. 0.125694444444444
C. 1:3       
D. 0.16875
Answer» B. 0.125694444444444
1595.

If the side of a chess board is smaller than its perimeter by 42 cm then find the area of the chess board.

A. \[100c{{m}^{2}}\]      
B. \[144c{{m}^{2}}\]
C. \[196c{{m}^{2}}\]   
D. \[180m\,c{{m}^{2}}\]
E. None of these
Answer» D. \[180m\,c{{m}^{2}}\]
1596.

The ratio of the least prime number to the least composite number is

A. 1:2 
B. 0.0854166666666667
C. 1:4       
D. 0.04375
Answer» B. 0.0854166666666667
1597.

Find the value of the product \[\left( 3+\frac{5}{x} \right)\left( 9-\frac{15}{x}+\frac{25}{{{x}^{2}}} \right)\] at \[x=1.\]

A.  \[150\]          
B.  \[148\]     
C.  \[152\]          
D.         \[146\]     
Answer» D.         \[146\]     
1598.

Add : \[5{{x}^{2}}-\frac{1}{3}x+\frac{5}{2},-\frac{1}{2}{{x}^{2}}+\frac{1}{2}x-\frac{1}{3}\] and \[-2{{x}^{2}}+\frac{1}{5}x-\frac{1}{6}\].

A.  \[\frac{5}{2}{{x}^{2}}+\frac{11}{30}x+2\]      
B.  \[\frac{3}{2}{{x}^{2}}+\frac{30}{11}x+3\]      
C.  \[\frac{5}{2}{{x}^{2}}+\frac{13}{30}x+1\]      
D.  \[\frac{3}{4}{{x}^{2}}+\frac{12}{11}x+5\]
Answer» B.  \[\frac{3}{2}{{x}^{2}}+\frac{30}{11}x+3\]      
1599.

A woman bought two packs of toffees, with the same of number of toffees in each pack. She bought the first pack at 25 paise per toffee and the second pack at 3 toffees for 65 paise. She mixed them together and sold at Rs.3.50 a dozen. What is her gain percent?

A.  \[15%\]        
B.               \[25%\]           
C.               \[16\frac{2}{3}%\]   
D.               \[12%\]           
Answer» C.               \[16\frac{2}{3}%\]   
1600.

DIRECTIONS: Each of these questions contains an Assertion followed by Reason. Read them carefully and answer the question on the basis of following options. You have to select the one that best describes the two statements. Assertion: An article is sold at Rs. 1425 at a loss of 5%. Its C.P is Rs. 1500. Reason: If there is loss cost price is always greater than Selling Price.

A. If both Assertion and Reason are correct and Reason is the correct explanation of Assertion.
B. If both Assertion and Reason are correct, but Reason is not the correct explanation of Assertion.
C. If Assertion is correct but Reason is incorrect.
D. If Assertion is incorrect but Reason is correct.
Answer» C. If Assertion is correct but Reason is incorrect.