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.

1901.

What are the roots of the equation \[x=-3\]

A.  \[x=-2\]   
B. \[(x-y)(x+2z)\]
C.  \[(x+y)(x-2z)\]  
D.  \[(x-y)(x-2z)\]
Answer» C.  \[(x+y)(x-2z)\]  
1902.

The average of two is 15, if one number is 17, then other is

A. 12 
B. 13
C. 14 
D. 15
Answer» C. 14 
1903.

The solution of \[ax=-b\]is

A.  \[x=-\frac{b}{a}\] 
B.  \[ax+by+c=0\]
C.  \[ax+by+d=0\] 
D.  \[a\ne 0,\]
Answer» C.  \[ax+by+d=0\] 
1904.

If  \[\frac{17-3x}{5}-\frac{4x+2}{3}=5-6x+\frac{7x+14}{3},\]find the value of x.

A.  \[2\]  
B.  \[4\]
C.  \[-4\]  
D.  \[-2\] 
Answer» C.  \[-4\]  
1905.

A man has some hens and cows. If the number of heads be 48 and the number of feet 140. The number of hens will be:

A. 26   
B. 24
C. 23   
D. 22
Answer» B. 24
1906.

If p is 28 % of Q and R is 56 % of Q, then P is what percent of R?

A.  20 % 
B.  25 %
C.  50 %   
D.  75 %
E.  None of these
Answer» D.  75 %
1907.

Out of every 20 vehicles passing a certain spot 7 were buses. What percentage was this?

A. 45%  
B. 0.4
C. 35%  
D. 0.3
Answer» D. 0.3
1908.

A fort is provisioned for 42 days, after 10 days a reinforcement of 200 men arrives and the food will now last 24 days. How many men were there in the fort?

A. 300 men 
B. 400 men
C. 500 men 
D. 600 men
Answer» E.
1909.

If 5% more is gained by selling an article for \[Rs.\text{ }350\]than by selling it for \[Rs.340,\]what is the cost of the article?

A.  \[Rs.50\]
B.    \[Rs.160\]   
C.    \[Rs.200\]    
D.    \[Rs.225\]
Answer» D.    \[Rs.225\]
1910.

Two bicyclists do the same journey by travelling respectively at the rate of 9 and 10 km an hour. Find the distance travelled when one takes 32 minutes longer than the other.

A. 42km  
B. 44km
C. 48km
D. 50km
Answer» D. 50km
1911.

Simplify : \[\left( 4x+5y \right)\left( 4x-5y \right)\]

A.  \[16{{x}^{2}}-25xy\]   
B.  \[16{{x}^{2}}-5{{y}^{2}}\]
C.  \[16{{x}^{2}}-5{{y}^{2}}\]
D.  \[16{{x}^{2}}-{{y}^{2}}\]
Answer» D.  \[16{{x}^{2}}-{{y}^{2}}\]
1912.

Find the sum of the given expression \[-5{{x}^{2}}+3x-8,4x+7-2{{x}^{2}}\]and \[\mathbf{6}-\mathbf{2x}+\mathbf{2}{{\mathbf{x}}^{\mathbf{2}}}\]

A.  \[2x+3y+z\]  
B.  \[x+2y+3z\]
C.  \[9x+6y+4z\] 
D.  \[-5{{x}^{2}}+5x+5\]
Answer» E.
1913.

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: If 2, 3 are the zeroes of a quadratic polynomial, then polynomial is \[{{x}^{2}}-5x+8\] Reason: If \[\frac{{{a}^{3}}-3}{{{b}^{2}}}\]are the zeroes of a monic quadratic polynomial, then polynomial is\[x=\frac{1}{2}\]

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
1914.

The interest on Rs. 6000 at 5% p.a. for 4 years is

A. Rs. 1000
B. Rs. 1400
C. Rs. 2000   
D. Rs. 1200
Answer» E.
1915.

A pair of articles was bought for \[Rs.\text{ }37.40\]at a discount of 15%. What was the marked price of each of the articles?     

A.  \[Rs.11\]
B.    \[Rs.22\]
C.    \[Rs.33\]
D.    \[Rs.44\]   
Answer» C.    \[Rs.33\]
1916.

DIRECTIONS: Passage-3 Read the passage(s) given below and answer the questions that follow. A man sold two pipes at Rs. 12 each. On one he gained 20% and on the other he lost 20%. What is the cost price of second pipe?

A. Rs. 15  
B. Rs. 20
C. Rs. 18   
D. Rs. 12
Answer» B. Rs. 20
1917.

The factors of \[P(3)=0\] are

A.  \[\therefore \]
B.  \[(x-3)\]
C.  \[\frac{4-x}{7-x}=\frac{2}{5}\]
D.  \[20-5x=14-2x\]
Answer» B.  \[(x-3)\]
1918.

If \[x-\frac{1}{x}=3\] then find \[\frac{x}{{{x}^{2}}+1}\] is

A.  9 
B.  \[\frac{1}{3}\]
C.  13
D.  \[\frac{1}{\sqrt{13}}\]
Answer» E.
1919.

If \[{{\mathbf{a}}^{\mathbf{2}}}+{{\mathbf{b}}^{\mathbf{2}}}+{{\mathbf{c}}^{\mathbf{2}}}=\mathbf{20},\text{ }\mathbf{a}+\mathbf{b}+\mathbf{c}=\mathbf{0}\] find\[\mathbf{ab}+\mathbf{b}c+\mathbf{ca}\]

A.  10
B.  \[-\]10
C.  20
D. \[-\]20
Answer» C.  20
1920.

What should be added to \[4{{p}^{2}}+5p+7\] to get\[7{{p}^{2}}+2p+9?\]

A.  \[3{{p}^{2}}-3p+2\]
B.  \[3{{p}^{2}}+3p+2\]
C.  \[-3{{p}^{2}}+3p-2\]
D.  \[3{{p}^{2}}-3p-2\]
Answer» B.  \[3{{p}^{2}}+3p+2\]
1921.

Find the roots of \[\left( x+3\sqrt{3} \right)\left( \sqrt{3}x+2 \right)\]

A.  \[10t+u+1\] 
B.  \[100t+10u+1\]
C.  \[t+u+1\]
D. None of these
Answer» D. None of these
1922.

Simple interest on a certain amount is \[\frac{9}{16}\]of the principal. If the numbers representing the rate of interest (in percent) and time (in years) be equal, then time for which the principal is lent out, is _____.

A.  5-years 
B.  6-years  
C.  7 years  
D.  7-years  
Answer» E.
1923.

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. What will be the total amount after 7 years.

A. Rs. 8000
B.    Rs. 9000
C. Rs. 6625   
D.    Rs. 7000
Answer» D.    Rs. 7000
1924.

The number of odd days in a leap year is -

A. 1  
B. 2
C. 3  
D. 4
Answer» C. 3  
1925.

Which among the following is not a proper subset of\[\left\{ a,\text{ }b,\text{ }c \right\}\]?

A.  \[\left\{ a,\text{ }b \right\}\]
B. \[\left\{ a,\text{ }b,\text{ }c \right\}\]  
C.  {b, c}   
D.  \[\left\{ a \right\}\]
E.  None of these
Answer» C.  {b, c}   
1926.

X and Y together can do a piece of work in 8 days, which X alone can do in 12 days. In how many days can Y do the same work alone?

A. 12 days 
B. 24 days
C. 36 days 
D. 16 days
Answer» C. 36 days 
1927.

If 20% of a = b, then b% of 20 is the same as

A.  4% of a   
B.  5% of a
C.  20% of a  
D.  none of these
Answer» B.  5% of a
1928.

Sita's salary was reduced by 10%. In order to reach her salary back to the original amount it must be raised by

A.  \[\frac{1}{5}\]    
B.  \[\frac{1}{8}\]
C.  \[\frac{1}{8}\]       
D.  \[\frac{1}{6}\]
Answer» B.  \[\frac{1}{8}\]
1929.

Jacob scored 8 marks more than what he did in the previous examination in which he had obtained 20 marks. Martin scored 16 marks more than he did in the previous examination in which he had scored 80 marks. Who had shown more improvement and by how much from other?

A.  Jacob, by 20% 
B.   Martin, by 20%
C.  Jacob, by 25%    
D.      Martin, by 25%
E.  None of these
Answer» B.   Martin, by 20%
1930.

If \[{{\text{a}}^{\text{3}}}\text{+}{{\text{b}}^{\text{3}}}\text{+}{{\text{c}}^{\text{3}}}\text{=3abc if a+b+c=0}\] then x is equal to

A. 1      
B. 2
C. 3      
D. none of these
Answer» C. 3      
1931.

Factorize the following expression:\[{{(2a+3b+c)}^{2}}-20a10c-30b+21\].

A. \[\left( 2a+3b+c-7 \right)\left( 2a+3b+c-3 \right)\]
B. \[\left( 2a3b+c+7 \right)\left( 2a3b+c-3 \right)\]
C. \[\left( 2a+3bc-7 \right)\left( 2a+3b+c-7 \right)\]
D. \[\left( a+3b+c-7 \right)\left( a+3b+c-3 \right)\]
E. None of these
Answer» B. \[\left( 2a3b+c+7 \right)\left( 2a3b+c-3 \right)\]
1932.

The year next to 1988 having the same calendar as that of 1988 is-

A. 1990
B. 1992
C. 1993     
D. 1995
Answer» D. 1995
1933.

Let n (\[\bigcup \]) =700, n A = 200, n B = 300 and n (A \[\bigcap \] B) = 100, then n(A' \[\bigcap \] B')

A.  400 
B.      600
C.  300     
D.   200
E.  None of these
Answer» D.   200
1934.

Simons and Atherton save 25% and 40% of their respective incomes. If their expenditures are equal, then find the ratio of the incomes of simons and Atherton.

A.  \[4:5\]       
B.        \[3:4\]      
C.  \[5:6\]     
D.      \[6:5\]
E.  None of these
Answer» B.        \[3:4\]      
1935.

If \[{{\mathbf{x}}^{\mathbf{2}}}+\frac{1}{{{\mathbf{x}}^{\mathbf{2}}}}=\mathbf{7}\], find the value of \[\left( x+\frac{1}{x} \right)\]

A.  6     
B.  9      
C.  3       
D.  4
Answer» D.  4
1936.

If \[\left( \mathbf{a}+\mathbf{b} \right)=\mathbf{2}\] and \[\left( \mathbf{a}-\mathbf{b} \right)=\mathbf{10}.\] Find the value of \[\left( {{a}^{2}}+{{b}^{2}} \right)=10.\]

A.  40    
B.  52   
C.  38    
D.  42
Answer» C.  38    
1937.

If \[\mathbf{a}+\frac{1}{a}=\frac{17}{4}\]then the value of \[\mathbf{a}-\frac{1}{a}\]is

A.  4     
B.  13/4    
C.  17/4 
D.  15/4
Answer» E.
1938.

Given that \[x-\frac{1}{x}=5,\] find the value of \[{{x}^{2}}+\frac{1}{{{x}^{2}}}\]

A.  \[-27\]     
B.  \[23\]
C.  \[-9\] 
D.      \[16\]
Answer» D.      \[16\]
1939.

The average of \[31\frac{1}{2},32\frac{1}{2},31\frac{2}{3}\] and \[33\frac{3}{4}\] is:

A.  \[\Rightarrow \]       
B.  \[{{a}_{1}}:{{a}_{2}}={{b}_{2}}:{{b}_{1}}\]
C.  \[{{a}_{1}}:{{a}_{2}}::{{b}_{2}}:{{b}_{1}}\]  
D.  \[8\times 32=256,16\times 16=256,32\times 8=256\]
Answer» C.  \[{{a}_{1}}:{{a}_{2}}::{{b}_{2}}:{{b}_{1}}\]  
1940.

Match column I with column II and select the correct answer using the code given below the columns:    Column - I Column- II (A) Zeroes of \[f(x)=(x-1)\]\[(x-2)\,(x-3)\] are (p) 1 (B) Zeroes of \[x+y=2\]are (q) 2 (C) Zeroes of \[x-y=1,\] are (r) 3 (D) Zeroes of \[x=\frac{3}{2},y=\frac{1}{2}\] are (s) -2

A.  \[x=0,y=3\]
B.  \[x=1\frac{1}{2},y=6\]
C.  \[y=0,x=6\]
D.  \[x+y=a\]
Answer» B.  \[x=1\frac{1}{2},y=6\]
1941.

A man bought 542 kg of sugar for Rs. \[7560.90\]and sold it so as to gain 20%. What is the selling price per kilogram of sugar?

A.  Rs. \[16.74\]         
B.            Rs. \[22.92\] 
C.            Rs. \[31.46\]      
D.            Rs. \[12.24\] 
Answer» B.            Rs. \[22.92\] 
1942.

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

A. 1      
B. 10
C. 100        
D. None of these
Answer» D. None of these
1943.

How much pure alchohal be added to 600 ml of a 20 % solution to make its strength 36%?

A. 100ml    
B. 120ml
C. 140ml       
D. 150ml
E. None of these
Answer» E. None of these
1944.

The degree of the polynomial \[x=2\] is

A. 3         
B. 4
C. 2      
D. can't be determined
Answer» C. 2      
1945.

Find the product of \[({{x}^{2}}+3x+5)\] and \[({{x}^{2}}-1)\].

A.  \[{{x}^{4}}+3{{x}^{3}}-4{{x}^{2}}-3x-5\]
B.  \[{{x}^{4}}+3{{x}^{3}}+4{{x}^{2}}-3x-5\]
C.  \[{{x}^{4}}+3{{x}^{3}}+4{{x}^{2}}+3x-5\]
D.  \[{{x}^{4}}-3{{x}^{3}}-4{{x}^{2}}+3x-5\]
Answer» C.  \[{{x}^{4}}+3{{x}^{3}}+4{{x}^{2}}+3x-5\]
1946.

The CP of 25 articles is equal to the SP of 20 articles. Then gain % is

A. 25%   
B. 0.2
C. 30%    
D. 0.5
Answer» B. 0.2
1947.

What must be subtracted from \[3{{a}^{2}}-6ab-3{{b}^{2}}-1\] to get \[4{{a}^{2}}-7ab-4{{b}^{2}}+1?\]

A.  \[-{{a}^{2}}+ab+{{b}^{2}}-2\]       
B.  \[{{a}^{2}}+ab+{{b}^{2}}+2\]
C.  \[{{a}^{2}}-ab-{{b}^{2}}+2\]     
D.  \[{{a}^{2}}-ab-4{{b}^{2}}-2\]
Answer» B.  \[{{a}^{2}}+ab+{{b}^{2}}+2\]
1948.

If \[\mathbf{x}+\frac{1}{\mathbf{x}}=\mathbf{5}\], then the value of \[{{\mathbf{x}}^{2}}+\frac{1}{{{\mathbf{x}}^{2}}}=\]

A.  21    
B.  22   
C.  23   
D.  24
Answer» D.  24
1949.

If \[\mathbf{ab}=\mathbf{6}\]and \[\mathbf{a}+\mathbf{b}=\mathbf{5}\], then the value of \[{{\mathbf{a}}^{\mathbf{2}}}+{{\mathbf{b}}^{\mathbf{2}}}\]is

A.  11    
B.  12    
C.  13 
D.  16
Answer» D.  16
1950.

At what rate of interest per annum will a sum double itself in 8 years, if calculated as per Simple Interest formula?

A. 25%       
B.  \[{{n}_{1}}\]
C.  \[{{R}_{2}}%\]   
D. None of these
Answer» D. None of these