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.

1751.

Which discount series is profitable to the buyer 25%, 12%, 3%, or 18%, 1.7%, 5%?

A. First        
B. Second
C. Both   
D. Neither
Answer» B. Second
1752.

The price of cooking oil has increased by 25%. The percentage of reduction that a family should effect in the use of cooking oil so as not to increase the expenditure on this account is:

A. 15%   
B. 0.2
C. 25%   
D. 30%      
Answer» C. 25%   
1753.

The simple interest on a certain sum at the rate of 20% p.a. for a period of 8 years amounts to 10960. What is the original sum of money?

A. Rs. 6500        
B.    Rs. 7800
C. Rs. 6850        
D.    Rs. 8000
Answer» D.    Rs. 8000
1754.

Find the missing term in the following expression. \[{{\left( \frac{3x}{4}-\frac{4y}{3} \right)}^{2}}=\frac{9{{x}^{2}}}{16}+\_\_\_\_\_+\frac{16{{y}^{2}}}{9}\]

A.       \[2xy\]     
B.  \[-2xy\]     
C.    \[12xy\]    
D.      \[-12xy\]
Answer» C.    \[12xy\]    
1755.

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: If there is Profit S.P is always greater than C.P. Reason: Loss =C.P- S.P

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.
1756.

Ameesha and Prachi love gardening. They water their garden regularly. The length and breadth of Ameesha's kitchen garden are x m and y m respectively. The length of Prachi's kitchen garden is 5 m more than that of Ameesha's garden and the breadth of Prachi's garden is 3 m more than that of Ameesha's garden. Find the difference between the area of Ameesha's kitchen garden and Prachi's kitchen garden.

A.  \[(5x+8y+10){{m}^{2}}\]
B.  \[(3x+5y-15){{m}^{2}}\]
C.  \[(3x+5y+15){{m}^{2}}\]
D.  \[(xy+3y+5y+15){{m}^{2}}\]
Answer» D.  \[(xy+3y+5y+15){{m}^{2}}\]
1757.

A can do a job in 20 days, B in 30 days and C in 60 days. If A is helped on every 3rd day by B and C, then in how many days, the job is finished?

A. 12 days       
B. 15 days
C. 20 days       
D. 10 days
Answer» C. 20 days       
1758.

If n (a) = 28, then which one among the following value of n (b) may result in n (A\[\bigcap \]B) being maximum?

A.  24 
B.      29     
C.  26
D.      25
E.  None of these
Answer» C.  26
1759.

\[0.4\times \frac{x}{100}\,\times 0.4=0.4,\] then x is 

A. 200       
B.          250
C. 300       
D.          225
Answer» C. 300       
1760.

Given that \[pq=6\]and \[p+q=5,\]find the value of \[{{p}^{2}}+{{q}^{2}}\].

A.  \[300\]       
B.  \[37\]      
C.      \[13\]    
D.      \[12\]
Answer» D.      \[12\]
1761.

Which of the following is not a polynomial?     (i) \[3{{x}^{\frac{1}{2}}}-4x+3\]     (ii) \[x=1\] (iii) \[y=0,x=6\] (iv) \[x+y=a\]

A. (i), (ii) and (iii) only
B. (iii) only
C. (i), (iv) only
D. (ii) only     
Answer» B. (iii) only
1762.

Find the product of \[\left\{ 3{{x}^{2}}yz\times \frac{4}{5}(x+y)z \right\}\times \left\{ -\frac{3}{17}{{x}^{3}}y{{z}^{4}}(x+y+3z) \right\}\]

A. \[\frac{-36}{85}{{x}^{5}}{{y}^{2}}{{z}^{6}}\left[ {{x}^{2}}+\text{ }2xy\text{ }+\text{ }{{y}^{2}}\,\,+\text{ }3xz\text{ }+\text{ }3yz \right]\]
B. \[\frac{36}{85}{{x}^{5}}y{{z}^{5}}\left[ {{x}^{2}}+\text{ 3}xy\text{ }+\text{ }{{y}^{3}}\,\,+\text{ }3xz\text{ }+\text{ }3yz \right]\]
C. \[\frac{36}{85}{{x}^{5}}{{y}^{2}}{{z}^{5}}\left[ {{x}^{2}}+\text{ 2}xy\text{ }+\text{ }{{y}^{2}}\,\,+\text{ 2}xz\text{ }+\text{ }3yz \right]\]
D. \[\frac{-36}{85}{{x}^{5}}y{{z}^{6}}\left[ {{x}^{2}}+\text{ 2}x{{y}^{2}}\text{ }+\text{ }y\,\,+\text{ 3}xz\text{ }+\text{ }3yz \right]\]
E. None of these
Answer» B. \[\frac{36}{85}{{x}^{5}}y{{z}^{5}}\left[ {{x}^{2}}+\text{ 3}xy\text{ }+\text{ }{{y}^{3}}\,\,+\text{ }3xz\text{ }+\text{ }3yz \right]\]
1763.

The mass of an aluminium rod varies directly with its length. If a 36 cm long rod has a mass of 432 gm, then find the length of the rod whose mass is 81gm.

A.  3.25 cm        
B.      6.75 cm     
C.  5.00 cm        
D.      5.50 cm
E.  None of these
Answer» C.  5.00 cm        
1764.

Ajit is 21 years younger than his father. What is their total age in 7 years time?  

A.  \[(x+28)\] years
B.  \[(x+35)\] years
C.  \[(2x+28)\] years
D.  \[(2x+35)\] years     
Answer» E.
1765.

A boy takes 20 minutes to reach the school at an average speed of 12 km/hour. If he wants to reach the school in 15 minutes, his average speed (in km/hour) will be

A. 16km/h    
B. 17km/h          
C. 18km/h     
D. 19km/h   
Answer» B. 17km/h          
1766.

If \[p\text{ }:\text{ }q\text{ }:\text{ }r\text{ }=\text{ }3\text{ }:\text{ }4\text{ }:\text{ }5\]and\[{{p}^{3}}+\text{ }{{q}^{3}}+\text{ }{{r}^{3}}=\] will be the value of\[{{\left( p\text{ }-\text{ }q\text{ }+\text{ }r \right)}^{3}}\]?

A.  1331    
B.      1728        
C.  2197     
D.      2744
E.  None of these
Answer» C.  2197     
1767.

If a number x is 10% less than the another number/and y is 10% more than 125, then x is equal to __.

A.  123.75  
B.      140.55  
C.  143       
D.      150    
Answer» B.      140.55  
1768.

A and B undertake to do a piece of work for Rs.200. A can do it in 6 days and B in 8 days. With the help of C they finish it in 3 days. How much is paid to C?

A. Rs.25      
B. Rs.26
C. Rs.27 
D. Rs.28
Answer» B. Rs.26
1769.

A The length of a rod is \[4x+5y-3z\,cm\] and the length of another is\[6x-3y+z\text{ }cm\]. By how much is the second rod longer than the first?

A.   \[2x+8y+4z\]
B.  \[2x-8y-4z\]
C.  \[2x+8y-4z\]
D.   \[2x-8y+4z\]    
Answer» E.
1770.

The compound interest on Rs.8,000 at 20% per annum for 9 months compounded quarterly is

A. 1,260 
B. 1261
C. 1,271 
D. 1281
Answer» C. 1,271 
1771.

Evaluate \[\sqrt{\frac{0.36\times 0.72\times 0.049}{0.04\times 0.09\times 0.08}}\]

A. 27    
B. 27
C. 3.1   
D. 2.1
Answer» E.
1772.

If \[P=Q',\]then \[(P\bigcup ~Q)'\]is ____

A.  P      
B.   Q
C.  \[\bigcup \]     
D.    \[\phi \]
E.  None of these
Answer» E.  None of these
1773.

Ramiz and John marked an article at Rs 6000 each. Ramiz sold it after giving successive discounts of 24% and 40%. John sold it after giving two successive discounts of 32% each. Find the maximum selling price (in Rs).

A.  2836
B.    2774.40
C.  2660 
D.   2874.60
E.  None of these
Answer» C.  2660 
1774.

The value of the product \[x=-6\] at \[{{x}^{2}}+5x+6=0\] is

A. 150  
B. 148
C. 152  
D. None of these
Answer» D. None of these
1775.

Simplify:- \[\frac{{{a}^{2}}-13a+30}{(a-10)}=\frac{{{a}^{2}}+4a+4}{a+2}\]

A.  \[{{a}^{2}}-8a-20=0\]      
B.  \[{{a}^{2}}+30a-40=0\]  
C.  \[{{a}^{2}}-80a-30=0\]    
D.  \[{{a}^{2}}+7a-30=0\]
Answer» B.  \[{{a}^{2}}+30a-40=0\]  
1776.

DIRECTIONS: Passage-1 Read the passage(s) given below and answer the questions that follow. Rs. 5000 is invested at a rate of 5% p.a. Simple interest for 5 years. After 5 year whole amount is again invested for 2 year at a rate of 3% p.a. How much money is invested after 5 years.

A. Rs.6000        
B.    Rs.7000
C. Rs.6500
D.          Rs.6250
Answer» E.
1777.

The factors of \[{{x}^{2}}+xy-2xz-2yz\] are

A.  \[\Rightarrow \]       
B.  \[P(-a)=0\]
C.  \[P(x)={{x}^{3}}-3{{x}^{2}}+4x-12\] 
D.  \[P(x)={{x}^{3}}-3{{x}^{2}}+4x-12\]
Answer» C.  \[P(x)={{x}^{3}}-3{{x}^{2}}+4x-12\] 
1778.

The three even consecutive integers whose sum is 90 are

A. 26, 30, 34    
B. 24, 32, 34
C. 24, 28, 38    
D. 28, 30, 32
Answer» E.
1779.

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 two quantities varies directly with each other, then their product is constant,          (ii) If two quantities varies inversely with each other, then their ratio is constant. Which of the statements given above is/are correct

A. only (i)      
B. only (ii)
C. both   
D. none
Answer» B. only (ii)
1780.

A man loses 12-% of his money and after spending 70% of the remainder, he was left with Rs.210. The money that he had at the beginning is

A. Rs.810        
B. Rs.800
C. Rs.790        
D. Rs.780
Answer» C. Rs.790        
1781.

Monday falls on 4th April, 1998. What was the day 3rd November, 1987?

A. Monday          
B. Sunday
C. Tuesday          
D. Wednesday
Answer» D. Wednesday
1782.

The side of a square is \[17\text{ }cm\] and the side of another is\[983\text{ }cm\]. What is the difference of their areas in sq. cm?

A.  \[900660\]    
B.  \[966000\]
C.  \[960600\]      
D.      \[906600\]
Answer» C.  \[960600\]      
1783.

The population of a town 2 years ago was 62500. Since some persons migrate to different cities the number of people decreases every year at the year of 4% per annum. Find its present population.

A.  53600      
B.  55400
C.  55600      
D.  57600
Answer» E.
1784.

45% of 90 = x% of 81, value of x is

A. 405       
B.          500
C. 50 
D.          28.5
Answer» D.          28.5
1785.

If \[\left( 3x+2y \right):\left( 3x-2y \right)=\left( 3p+8y \right):\left( 3p-8q \right),\]which one of the following is correct?

A. \[4\text{ }\times \text{ }q\text{ }=py\]       
B.    \[16\text{ }\times \text{ }y\text{ }-\text{ }21pq\]
C. \[3\text{ }\times \text{ }q\text{ }=\text{ }2py\]    
D.   \[2\text{ }\times \text{ }q\text{ }=\text{ }3py\]
E.  None of these
Answer» B.    \[16\text{ }\times \text{ }y\text{ }-\text{ }21pq\]
1786.

Two numbers are respectively 20% and 50% more than a third number. The ratio of the two numbers is

A.  2 : 5 
B.  3 : 5
C.  4 : 5       
D.  5 : 4
Answer» D.  5 : 4
1787.

A number consists of two digits; the sum of the digits is 5 and if the left digit be increased by 1, it will be equal to 1/8 th of the number. Find the number.

A. 41    
B. 23
C. 14    
D. 32
Answer» E.
1788.

At what time between 9 and 10 will the hands of a watch be together?

A. 45 minutes past 9
B. 50 minutes past 9
C.  \[49\frac{1}{11}\] minutes past 9
D.  \[48\frac{2}{11}\]minutes past 9
Answer» D.  \[48\frac{2}{11}\]minutes past 9
1789.

If  \[{{x}^{2}}+{{y}^{2}}=29\] and \[xy=2\], find the value of (i) \[x+y\]        (ii) \[xy\]  (iii) \[{{x}^{4}}+{{y}^{4}}\]

A. (i) (ii) (iii)  \[\pm \sqrt{35}\] \[\pm 6\] 849
B. (i) (ii) (iii)  \[\pm \sqrt{23}\] \[\pm 5\] 833       
C. (i) (ii) (iii)  \[\pm \sqrt{33}\] \[\pm 5\] 833       
D. (i) (ii) (iii)  \[\pm \sqrt{29}\] \[\pm 3\] 849
Answer» D. (i) (ii) (iii)  \[\pm \sqrt{29}\] \[\pm 3\] 849
1790.

The present population of a town is 25,000. It grows at 4%, 5% and 8% during first year, second year and third year isrespectively, the population after 3 years is

A. 29,484     
B. 28,696     
C. 24,576        
D. 30,184 
Answer» B. 28,696     
1791.

729 ml of a mixture contains milk and water in the ratio 7:2. How much more water is to be added to get a new mixture containing milk and water in the ratio 7:3?

A. 600 ml        
B. 710 ml
C. 520 ml        
D. none of these
Answer» E.
1792.

The factors of the expression \[{{x}^{2}}-\frac{{{y}^{2}}}{100}\] is

A.  \[\left( x-\frac{y}{100} \right)\left( x-\frac{y}{100} \right)\]     
B.  \[\left( x+\frac{y}{100} \right)\left( x+\frac{y}{100} \right)\]
C.  \[\left( y+\frac{x}{100} \right)\left( y+\frac{x}{100} \right)\]
D.  \[\left( x+\frac{y}{100} \right)\left( x-\frac{y}{100} \right)\]
Answer» E.
1793.

In what time will Rs. 1200 amount to Rs. 1344 at 6% p.a.?

A.  \[2\frac{1}{2}\] years      
B.          3 years
C. 2 years  
D. \[3\frac{1}{2}\] years
Answer» D. \[3\frac{1}{2}\] years
1794.

If \[P\bigcap Q=Q\]and \[P\bigcap Q=P\] then which among the following cannot be true?

A.  \[P=\left\{ \text{1, }2,\text{ }3 \right\}\]and\[Q=\left\{ 1,\text{ }2,\text{ }3,\text{ }4,\text{ }5 \right\}\]
B.  \[P=\left\{ a,\text{ }b \right\}\]and \[Q=\left\{ a,\text{ }b,\text{ }c \right\}\]
C.  \[P=\left\{ s \right\}\]and \[Q=\left\{ m,\text{ }n,\text{ }s \right\}\]
D.  \[P=\left\{ I,\text{ }m,\text{ }n \right\}\]and \[Q=\left\{ I,\text{ }m,\text{ }1,\text{ }2,\text{ }3 \right\}\]
E.  None of these
Answer» E.  None of these
1795.

The sum of three consecutive even numbers is 330, then find \[\frac{3}{4}\]th of the greatest number

A. 72    
B. 84
C. 112  
D. 140
E. None of these
Answer» C. 112  
1796.

Of a certain sum, \[{{n}_{2}}\]rd is invested at 3%\[{{R}_{k}}%\]th at 6% and the rest at 8%. If the SI for 2 years from all these investments amounts to Rs.600. Then the original sum was

A. Rs.2000      
B. Rs.3000
C. Rs.4000      
D. Rs.5000
Answer» E.
1797.

The ratio of the number of boys and girls in a college is 7 : 8. If the percentage increase in the number of boys and girls be 20% and 10% respectively. What will be the new ratio?

A.  8 : 9 
B.  17 : 18
C.  21 : 22      
D.  can't be determined
Answer» D.  can't be determined
1798.

A sum of money is to be distributed among A, B, C, D in the proportion of 5 : 2 : 4 : 3, If C gets Rs. 1000 more than D. What is B's share?

A.  500  
B.  1500
C.  2000
D.  None of these
Answer» D.  None of these
1799.

Simplify\[\frac{6}{m}-\frac{(3-n)}{2mn}\]

A.  \[\frac{11n-3}{2mn}\]         
B.  \[\frac{13n-3}{2{{m}^{2}}n}\]         
C.  \[\frac{11n-3}{2{{m}^{2}}n}\]       
D.  \[\frac{13n-3}{2mn}\]
Answer» E.
1800.

The C.I. on a certain sum at 5% for 2 years is Rs. 328. Calculate the S.I. for the sum at the same rate and for the same period.

A.  Rs.320            
B.            Rs.322      
C.            Rs.325            
D.            Rs.326
Answer» B.            Rs.322