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.

1501.

What is the least number by which 1565109 must be multiplied so that me product becomes a prefect cube?

A.  11                               
B.  12          
C.  13     
D.  14
Answer» D.  14
1502.

Which one of the following numbers is not a perfect cube?

A.  2197                           
B.  512         
C.  2916
D.  343
Answer» D.  343
1503.

Which one of the following is a perfect cube?

A.  1525                           
B.  1728  
C.  1458                           
D.  3993
Answer» C.  1458                           
1504.

Find the unit digit in the cube of the number 3331.

A.  1
B.  8           
C.  4                                
D.  9
Answer» B.  8           
1505.

What is the value of \[\frac{{{(67.542)}^{2}}-{{(32.458)}^{2}}}{75.458-40.374}\]?

A.  \[1\]              
B.  \[10\]       
C.  \[100\]     
D.         \[1000\]
Answer» D.         \[1000\]
1506.

Find the day of the week on 16th July, 1776.

A. Tuesday           
B. Wednesday
C. Monday
D. Thursday
Answer» B. Wednesday
1507.

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. Profit percent of Ram by selling article to Shyam.

A. 20%      
B.          15%
C. 10%      
D.          18%
Answer» D.          18%
1508.

If the angles of a triangle are in the ratio 2: 3: 4, then the difference between the greatest and smallest angles is

A.  \[1/2(a+b+c)\] 
B.  \[a+b+c\]
C.  \[3(a+b+c)\]   
D.  \[2(abc)\]  
Answer» E.
1509.

Find the amount on Rs.12500 for 2 years compounded annually, the rate of interest being 15% for the first year and 16% for the second year.

A.  Rs.16500
B.       Rs.16750          
C.               Rs.16675     
D.               Rs.16275    
Answer» D.               Rs.16275    
1510.

The ratio of Rs.3 and 60 paise is

A. 1:20    
B. 0.209027777777778
C. 1:2       
D. 0.834027777777778
Answer» C. 1:2       
1511.

If the cost of printing a book of 380 pages with 20 lines on each page and on an average 11 words in each line is Rs.19, then the cost of printing a book with 280 pages 22 lines on each page and 10 words in each line is

A. Rs.14  
B. Rs.16
C. Rs.18          
D. Rs.20
Answer» B. Rs.16
1512.

DIRECTION: Following questions consist of two statements, one labelled as the ?Assertion (A)? and the other as ?Reason (R)?. You are to examine these two statement carefully and select the answer to these items using the code given below. Assertion (A): An article is sold at Rs.1425 at a loss of 5%. Its C.P is Rs.1500. Reason (R): If the shopkeeper has to make a 10% profit in question given in statement 1 then the S.P should be Rs.6150.

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» D. A is false but R is true.
1513.

The numerator of a fraction is increased by 20% and its denominator be diminished by 10%. The value of the fraction is\[{{b}_{1}}\] , then the fraction is         

A.  \[\frac{{{a}_{1}}}{{{b}_{1}}}=\]      
B.  \[{{a}_{2}}\]
C.  \[{{b}_{2}}\]        
D.  \[\frac{{{a}^{2}}}{{{b}^{2}}}=k\]     
Answer» B.  \[{{a}_{2}}\]
1514.

Match the following. Column - I Column - II (i) Gun powder contains 75% nitre and 10% sulphur. The rest of it is charcoal. The amount of charcoal in 9 kg of gun powder (in kg) is (a) 1.5 (ii) A cycle merchant allows 25% discount on the marked price of the cycles and still makes a profit of 20%. If he gains Rs. 360 over the sale of one cycle, the marked price of the cycle (in Rs.) is (b) 1.35 (iii) Time (in years) in which Rs. 64000 will amount of Rs. 68921 at 5% p.a., interest being compounded semi-annually is (c) 2880

A.  (i) - (c), (ii) - (b), (iii) - (a)
B.  (i) - (b), (ii) - (a), (iii) - (c)
C.  (i) - (b), (ii) - (c), (iii) - (a)
D.  (i) - (c), (ii) - (a), (iii) - (b)
Answer» D.  (i) - (c), (ii) - (a), (iii) - (b)
1515.

Divide 84 into two parts such that \[{{\left( \frac{4}{17} \right)}^{th}}\]of one part is equal to other part. Find the product of both the parts.

A. 1078          
B. 1088
C. 2032           
D. 3076
E. None of these
Answer» C. 2032           
1516.

If a commission of 10% is given on the written price, the gain is 50%. What shall be the percentage of gain, if the commission is increased to 25%?

A. 20        
B. 22
C. 25        
D. 26
Answer» D. 26
1517.

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: Degree of the polynomial \[\frac{{{a}^{3}}-3}{h}\] is 2. Reason: The degree of a polynomial of one variable is the highest value of the exponent of the variable.

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.
1518.

Father's age is equal to the sum of the ages of his five children. After 15 years his age will be only half of the sum of the children's ages. How old is the father?

A. 42 years    
B. 43 years
C. 44 years    
D. 45 years
Answer» E.
1519.

If two number differ by 3 and their product is 504, then the number are

A. 21, 24 or \[-\]24, \[-\]21
B. 30, 31 or \[-\]30, \[-\]31
C. 40, 41 or \[-\]40, \[-\]41
D. none of these
Answer» B. 30, 31 or \[-\]30, \[-\]31
1520.

A sum lent at SI amounts in 2 years to Rs.578.40 and in 3 years to Rs.614.55. Find the rate of interest.

A. 5%  
B.  \[=\frac{R}{{{\left( 1+\frac{R}{100} \right)}^{n}}}\]
C. 7%  
D.  \[{{R}_{1}}%\]
Answer» C. 7%  
1521.

What will be the acute angle between hands of a clock at 2 : 30?

A.  \[{{105}^{o}}\] 
B.  \[{{115}^{o}}\]
C.  \[{{95}^{o}}\]   
D.  \[{{135}^{o}}\]
Answer» B.  \[{{115}^{o}}\]
1522.

The ratio of number of boys to girls in a class is 1:25. If 36 more girls join, the ratio becomes 1:28. The number of boys in the class is

A. 24  
B. 32          
C. 12        
D. 48
Answer» D. 48
1523.

lf \[M=\frac{4pq}{3p+q}\]then find the value of \[=\frac{M+4p}{M-P}+\frac{M-3P}{3-q}\]

A.  \[\frac{8{{q}^{2}}+9pq+27{{p}^{2}}}{3p(q-p)}\]    
B.  \[\frac{6{{q}^{2}}+8pq+17{{p}^{2}}}{3q(q-p)}\]
C.  \[\frac{8{{q}^{2}}+9pq+27{{p}^{2}}}{3q(q-p)}\]
D.         \[\frac{4{{q}^{2}}+3pq+9{{p}^{2}}}{3p(q-p)}\]
E.  None of these
Answer» F.
1524.

Two successive discounts of 10% and 5% are equal to a single discount of:

A. 7%       
B.  \[256\times 1=256.\]
C.  \[\frac{1}{n}\]    
D. 0.15
Answer» D. 0.15
1525.

Two articles A and B are sold by a trader. The cost price of A equals the selling price of B. A is sold at 20% profit and cost price of B is equal to 20% loss than its selling price. What will be the overall profit/loss percent made by the trader?

A.  \[22\frac{2}{9}%\]% loss 
B. \[22\frac{2}{9}%\] %profit
C.  28% loss          
D. 32% profit
E.  None of these
Answer» C.  28% loss          
1526.

DIRECTIONS: Passage-5 Read the passage(s) given below and answer the questions that follow. Radha spends 40% of her salary on food and 20% on conveyance. If her savings at the end of a month are Rs. 4000. What is her monthly salary?

A. Rs. 9000        
B.           Rs. 7000
C. Rs. 12000       
D.          Rs. 10,000
Answer» E.
1527.

\[\frac{2}{5}%\] as a decimal equals

A. 0.4        
B.          0.04
C. 0.404      
D.          0.004
Answer» E.
1528.

The difference between the compound interest and simple interest on a certain sum of money at 10% per annum for 2 years is Rs. 500. Find the sum when the interest is compounded annually.

A.  Rs. 50000       
B.  Rs. 55000
C.  Rs. 40000      
D.         Rs. G5000
Answer» B.  Rs. 55000
1529.

Find the product of \[\left( a+\frac{1}{a} \right)\left( {{a}^{2}}+\frac{1}{{{a}^{2}}} \right)\left( {{a}^{4}}+\frac{1}{{{a}^{4}}} \right)\left( {{a}^{8}}+\frac{1}{{{a}^{8}}} \right)\left( a-\frac{1}{a} \right)\]

A. \[{{a}^{16}}+\frac{1}{{{a}^{16}}}\]
B.       \[{{a}^{16}}-\frac{1}{{{a}^{16}}}\]
C. \[{{a}^{16}}+\frac{1}{{{a}^{16}}}+\frac{3}{8}{{a}^{8}}+\frac{1}{4{{a}^{8}}}\]          
D. \[{{a}^{16}}+\frac{1}{{{a}^{16}}}+\frac{3}{8}{{a}^{8}}-\frac{1}{8{{a}^{8}}}\]
E. None of these
Answer» B.       \[{{a}^{16}}-\frac{1}{{{a}^{16}}}\]
1530.

Find the exact time between 7 am and 8 am when the two hands of a watch meet?

A. 7 hrs 35min                
B. 7 hrs 36.99mm
C. 7 hrs 38.18min           
D. 7hrs 42.6m1n
Answer» D. 7hrs 42.6m1n
1531.

A customer saves Rs.15 when a discount of 20% on the marked price is offered. What did he pay for the article?

A. Rs.120        
B. Rs.80
C. Rs.60       
D. Rs.75
Answer» D. Rs.75
1532.

What is the value of 1 - 0.05 as a percent?

A. 0.95%   
B.          19%
C. 95%      
D.          5%
Answer» D.          5%
1533.

Subtract the sum of A and B from C Where   \[A=\frac{3}{7}{{p}^{2}}{{q}^{2}}r-\frac{4}{5}pq{{r}^{2}}+\frac{3}{2}pqr+\frac{1}{21}{{p}^{2}}qr\] \[B=\frac{1}{14}pq{{r}^{2}}+\frac{2}{7}{{p}^{2}}qr-\frac{3}{5}{{p}^{2}}{{q}^{2}}r+pqr\] And \[c=\frac{3}{10}pqr-\frac{4}{7}r{{p}^{2}}q+\frac{2}{7}pq{{r}^{2}}-\frac{4}{5}{{p}^{2}}r{{q}^{2}}\]

A. \[\frac{1}{105}[-66{{p}^{2}}{{q}^{2}}r+112pq{{r}^{2}}+162pqr+170{{p}^{2}}qr]\]
B. \[\frac{1}{210}[-132{{p}^{2}}{{q}^{2}}r+213pq{{r}^{2}}-462pqr-190{{p}^{2}}qr]\]
C. \[\frac{1}{210}[-232{{p}^{2}}{{q}^{2}}r+203pq{{r}^{2}}+362pqr+170{{p}^{2}}qr]\]
D. \[\frac{1}{105}[-166{{p}^{2}}{{q}^{2}}r-112pq{{r}^{2}}+462pqr-171{{p}^{2}}qr]\]
E. None of these
Answer» C. \[\frac{1}{210}[-232{{p}^{2}}{{q}^{2}}r+203pq{{r}^{2}}+362pqr+170{{p}^{2}}qr]\]
1534.

The additive inverse of \[=-8+4-4+3=-12+7=-5\]is

A.  \[\Rightarrow \]          
B.  \[P(-a)=0\]
C.  \[P(x)={{x}^{3}}-3{{x}^{2}}+4x-12\] 
D. none of these
Answer» D. none of these
1535.

If a radio is sold at Rs.972, then profit is 8%. If it is sold at Rs.872, then there is a loss of

A. Rs.28     
B. Rs.25
C. Rs.20          
D. Rs.15
Answer» B. Rs.25
1536.

A dishonest dealer professes to sell his goods at cost price, but uses a weight of 900 grams for a kilogram weight. Find his real gain per cent.

A.  \[{{a}_{1}}:{{a}_{2}}::{{b}_{1}}:{{b}_{2}}\]
B. 0.12
C. 11% 
D. 0.132
Answer» B. 0.12
1537.

DIRECTIONS: Passage-4 Read the passage(s) given below and answer the questions that follow. Rs. 2000 amounts to Rs. 2600 in five years at a certain rate of simple interest. What is the simple interest?

A. Rs. 500          
B.           Rs. 600
C. Rs. 400          
D.           Rs. 800
Answer» C. Rs. 400          
1538.

A train travelling at a speed of 72 km/hr passes an electric pole in 30 seconds. Find the time taken by it to cross a bridge of length 900 m (in seconds).

A.  70    
B.  80
C.  75        
D.         85
E.  None of these
Answer» D.         85
1539.

The excise duty on a certain item has been reduced to Rs 800 from Rs 1024. Find the percentage reduction in the excise duty.

A. 28%    
B. 0.26
C.  \[21\frac{7}{8}%\]%
D. \[24\frac{3}{8}%\]%
E.  None of these
Answer» D. \[24\frac{3}{8}%\]%
1540.

Choose the correct option for the roots of \[\frac{1}{x}-\frac{3}{4}+\frac{1}{2+x}=0\]

A.  \[x=1\] 
B.  \[x=-1\]
C.  \[x=2\] 
D.  \[x=-3\]
Answer» E.
1541.

A single discount equal to a discount series of 10% and 20% is

A. 25% 
B. 0.3
C. 35% 
D. 0.28
Answer» E.
1542.

Factorize: \[-2xy\text{ }+\text{ }1\text{ }-\text{ }{{y}^{2}}-\text{ }{{x}^{2}}\]

A. \[\left( 1\text{ }+\text{ }x\text{ }-\text{ }y \right)\left( 1\text{ }\text{ }x\text{ }+\text{ }y \right)~\]
B.          \[\left( 1\text{ }+\text{ }x\text{ }+\text{ }y \right)\left( 1\text{ }\text{ }x\text{ }-\text{ }y \right)\]
C. \[\left( 1\text{ }+\text{ }xy \right)\left( x\text{ }+\text{ }y\text{ }+\text{ }l \right)~\]
D.            \[\left( 1\text{ }-\text{ }xy \right)\left( 1+\text{ }x\text{ }+\text{ }y \right)\]
E. None of these
Answer» C. \[\left( 1\text{ }+\text{ }xy \right)\left( x\text{ }+\text{ }y\text{ }+\text{ }l \right)~\]
1543.

If n(P) = 18 - x, n (Q) = 24 + x and n (P\[\bigcup \]Q) = 34, then n(P\[\Delta \]Q) = _____

A.  x+20    
B.         26       
C.  34-x                
D.         30
E.  None of these
Answer» C.  34-x                
1544.

The dimensions of a rectangular box are represented as \[\left( a\text{ }+\text{ }2b \right)\text{ }\left( {{a}^{2}}+\text{ }4{{b}^{2}} \right)\] and (a - 2b) then what will be the volume of the rectangular box?

A. \[{{a}^{2}}\,8{{b}^{4}}\,+\,6\text{ }{{a}^{2}}{{b}^{2}}\]           
B. \[{{a}^{4}}\,+16{{b}^{4}}\,-\,8{{a}^{2}}{{b}^{2}}\]
C. \[{{a}^{4}}\,-\,16{{b}^{2}}\]      
D. \[{{a}^{4}}\,+8{{b}^{4}}\,+\,12{{a}^{2}}{{b}^{2}}\]
E. None of these
Answer» D. \[{{a}^{4}}\,+8{{b}^{4}}\,+\,12{{a}^{2}}{{b}^{2}}\]
1545.

Match the following. Column - I Column - II P. \[(3{{x}^{2}}-4xy)\] \[(3{{x}^{2}}-3xy)\] (i) \[12{{x}^{2}}+53xy+55{{y}^{2}}\] Q. \[({{x}^{2}}+4)\] \[(9{{x}^{2}}+9y)\] (ii) \[9{{x}^{2}}+2{{y}^{4}}+11x{{y}^{2}}\] R. \[(3x+5y)\] \[(4x+11y)\] (iii) \[9{{x}^{4}}-21{{x}^{3}}y+12{{x}^{2}}{{y}^{2}}\] S. \[({{y}^{2}}+x)\] \[(2{{y}^{2}}+9x)\] (iv) \[9{{x}^{4}}+45{{x}^{2}}y+36{{y}^{2}}\]

A.  P \[\to \](iii); Q \[\to \](iv); R\[\to \](i); S \[\to \](ii)
B.  P\[\to \](ii); Q\[\to \](i); R\[\to \](iv); S\[\to \](iii)
C.  P\[\to \](iv); Q\[\to \](iii); R\[\to \](i): S\[\to \](ii)
D.  P\[\to \](iii); Q\[\to \](ii); R\[\to \](iv); S\[\to \](i)
Answer» B.  P\[\to \](ii); Q\[\to \](i); R\[\to \](iv); S\[\to \](iii)
1546.

First, third and the fourth terms of a proportion are 6, 12 and 36. Then the second term is

A. 12              
B. 18
C. 16    
D. 108
Answer» C. 16    
1547.

If a certain sum is doubled in 8 years on simple interest, in how many years will it be 4 times?        

A. 24       
B. 16
C. 32       
D. 12
Answer» B. 16
1548.

Match column I with column II and select the correct answer using the code given below the columns:         Column I Column II (A) The ratio of 3.5 kg to 280 gm is (p) 10.20 (B) The compound ratio of  3:4,8:15 and 25:28 is (q) 0.05 (C) 0.35% of a number is equivalent to multiplying it by the number (r) 5:14 (D) 20% of 30% of 20% of Rs. 850 is (s) 25:2 (E) Half of 1 percent written  as a decimal is (t) 0.0035

A.  \[(A)\to p,(B)\to q,(C)\to r,(D)\to t,(E)\to q\]
B.  \[(A)\to s,(B)\to r,(C)\to p,(D)\to t,(E)\to q\]
C.  \[(A)\to r,(B)\to s,(C)\to t,(D)\to p,(E)\to q\]
D.  \[(A)\to s,(B)\to r,(C)\to t,(D)\to p,(E)\to q\] 
Answer» E.
1549.

6.25% as a decimal is....................

A. 0.0625  
B.          0.625
C. 6.250     
D. 0.00625
Answer» B.          0.625
1550.

The sum of the digits of a two digit number is 9. If 27 is subtracted from the number, the resultant number becomes the number obtained on reversing the digits of the original number Find the original number.

A. 54    
B. 45
C. 63        
D. 81
E. None of these
Answer» D. 81