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.

351.

Which one of the following is not true?               

A. There does not exist any rational number whose square is 4   
B. There does not exist any rational number whose square is 5
C. There does not exist any rational number whose square is 2
D. None of these
Answer» B. There does not exist any rational number whose square is 5
352.

The value of \[\frac{75}{48}\] is

A. 1                                 
B. 10
C. 100                 
D. none of these
Answer» D. none of these
353.

Sum of the greatest 8 digit number and the smallest 9 digit number is

A. 19999999                   
B. 199999999
C. 999999999                 
D. 10000999
Answer» C. 999999999                 
354.

The value of\[q\ne 0\]is

A.  \[\frac{5}{16},\frac{15}{24}\]                                 
B.  \[\frac{25}{8}\]
C.  \[\frac{5}{48}\]                                 
D.  \[\frac{5}{8}\]
Answer» C.  \[\frac{5}{48}\]                                 
355.

The value of \[5\sqrt{3}\]is

A. 0                                 
B. 1
C.  \[a=bq+r.0\le r<b\]                          
D. 15
Answer» C.  \[a=bq+r.0\le r<b\]                          
356.

The value of \[\text{A}-\left( \text{s} \right),\text{B}-\left( \text{r} \right),\text{C}-\left( \text{q} \right),\text{D}-\left( \text{p} \right)\]is

A. 64
B. 32
C. Cannot be determined
D. None of these
Answer» B. 32
357.

The value of \[\sqrt{2}\] is

A. 28                               
B. -28
C. 18                               
D. -18
Answer» C. 18                               
358.

The smallest number by which 8788 must be divided so that the quotient is a perfect cube is                        

A. 4                 
B. 12
C. 16                  
D. 32
Answer» B. 12
359.

The value of \[\text{A}-\left( \text{r} \right),\text{B}-\left( \text{p} \right),\text{C}-\left( \text{s} \right),\text{D}-\left( \text{q} \right)\] is

A.  \[-\left( \text{q} \right),\text{B}-\left( \text{r} \right),\text{C}-\left( \text{s} \right),\text{D}-\left( \text{p} \right)\]                                   
B.  \[\left( \text{d} \right)~~\text{A}-\left( \text{r} \right),\text{B}-\left( \text{s} \right),\text{C}-\left( \text{p} \right),\text{D}-\left( \text{q} \right)\]
C.  \[\text{A}-\left( \text{s} \right),\text{B}-\left( \text{r} \right),\text{C}-\left( \text{q} \right),\text{D}-\left( \text{p} \right)\]            
D.  \[\text{A}-\left( \text{r} \right),\text{B}-\left( \text{p} \right),\text{C}-\left( \text{s} \right),\text{D}-\left( \text{q} \right)\]
Answer» D.  \[\text{A}-\left( \text{r} \right),\text{B}-\left( \text{p} \right),\text{C}-\left( \text{s} \right),\text{D}-\left( \text{q} \right)\]
360.

The smallest 4-digit number formed by using the digits 5, 0, 3, 1, 7, only once contains

A. 0 in thousand's place
B. 5 in ten's place
C. 3 in ten's place       
D. 7 in unit's place
Answer» D. 7 in unit's place
361.

An irrational number is

A. a terminating and non-repeating decimal
B. a non-terminating and non-repeating decimal
C. a terminating and repeating decimal
D. a non-terminating and repeating decimal
Answer» C. a terminating and repeating decimal
362.

Express \[\sqrt{3}=1.732,\] as rational number.

A.  \[\frac{\sqrt{2}+\sqrt{3}}{2}\]                                
B.  \[(2+\sqrt{3})\]
C.  \[\text{A}-\left( \text{s} \right),\text{B}-\left( \text{q} \right),\text{C}-\left( \text{r} \right),\text{D}-\left( \text{p} \right)\]                        
D. None of these
Answer» C.  \[\text{A}-\left( \text{s} \right),\text{B}-\left( \text{q} \right),\text{C}-\left( \text{r} \right),\text{D}-\left( \text{p} \right)\]                        
363.

\[\pi \]is

A. Rational                      
B. irrational
C. Imaginary                   
D. an integer
Answer» C. Imaginary                   
364.

The square root of a perfect square containing 'n' digits has_____ digits.

A.  \[\sqrt{3}\]                 
B.  \[\frac{52}{125}\]
C. 1 or 2                          
D. None of these
Answer» D. None of these
365.

\[\sqrt{2}\]

A. equals 1             
B. Lies between 0 and 1
C. lies between I and 2  
D. is greater than 2
Answer» D. is greater than 2
366.

The smallest number by which 396 must be multiplied so that the product becomes a perfect square is

A. 5                                 
B. 11
C. 3                                 
D. 2
Answer» C. 3                                 
367.

The least number which must be subtracted from 2509 to make it a perfect square is

A. 6                                 
B. 9
C. 12                  
D. 14
Answer» C. 12                  
368.

The least number of 4 digits which is a perfect square is

A. 1000                           
B. 1004
C. 1016                           
D. 1024
Answer» E.
369.

\[0.74\overline{35}=\frac{7435-74}{9900}=\frac{7361}{9900},\]

A. 0                                 
B. 1                 
C.  \[-1\]                          
D. 2                        
Answer» C.  \[-1\]                          
370.

By what number should we multiply \[\sqrt{2},\sqrt{3},\sqrt{5},\sqrt{6},\sqrt{7},\sqrt{8},\sqrt{11}\] so that the product may be equal to 64?                                 

A.  \[0.\overline{3}=3/9\]                       
B.  \[1/3\]                 
C.  \[0.\overline{387}=387/999\]                       
D. None of these          
Answer» C.  \[0.\overline{387}=387/999\]                       
371.

\[\sqrt{3}\] can be expressed in the rational form as         

A.  \[\sqrt{4}\]                 
B.  \[\sqrt{4}=2\]
C.  \[\sqrt{2},\sqrt{5},\sqrt{6},2\sqrt{3},5\sqrt{7},\sqrt{2}+\sqrt{3},\]                       
D.  \[\sqrt[3]{2},\sqrt[3]{3},\sqrt[3]{4},\]
Answer» E.
372.

\[\sqrt{3}\]This property is

A. Closure                       
B. commutative
C. Associative           
D. identity                
Answer» D. identity                
373.

Addition of rational numbers does not satisfy which of the following property?                                    

A. Commutative              
B. associative
C. Closure                       
D. all of these
Answer» E.
374.

The rational number \[q\ne 0\]

A. has a positive numerator                         
B. has a negative numerator                        
C. has either a positive numerator or a negative numerator
D. has neither a positive numerator nor a negative numerator
Answer» E.
375.

The value of \[a

A. 0                                 
B. 1
C. 2m                              
D. none of these
Answer» C. 2m                              
376.

The HCF of two numbers is 9 and their LCM is 270. It the sum of the numbers is 99, their difference is equal to

A. 18                               
B. 15
C. 12                               
D. 9
Answer» E.
377.

The bells begin tolling at the same time and continued to do so at intervals of 21, 28, 30 seconds respectively The bells will toll together again after

A. 7 seconds                    
B. 420 seconds
C. 630 seconds                
D. 1764 seconds
Answer» C. 630 seconds                
378.

Given \[3=\frac{3}{1}\]the value of \[0=\frac{0}{1}\]correct to 3 decimal places is:

A. 15.652                     
B. 11.18
C. 18.652                        
D. 16.652
Answer» B. 11.18
379.

Division of \[(b+c)\times a=b\times a+c\times a\] by 3 gives

A.  \[-\,2.4572\]               
B.  \[\bar{1}.7905\]
C.  \[\overline{2}.4572\,\]                       
D.  \[\overline{2}.5472\]
Answer» D.  \[\overline{2}.5472\]
380.

If\[\frac{1}{a}\], then \[a\times (b+c)=a\times b+a\times c\]

A. 1.1                              
B. 1.01
C. 0.11                            
D. 11       
Answer» E.
381.

Madhavi eats one full bar of chocolate. Then she divides another one into 5 equal parts and eats 3 of those parts. The total number of chocolates that she has eaten is

A.  \[a+0=a=0+a\]                               
B.  \[a\times 1=a=1\times a\]
C.  \[a+(-a)=0=(-a)+a\]                       
D.  \[a\times \frac{1}{a}=1=\frac{1}{a}\times a\]
Answer» D.  \[a\times \frac{1}{a}=1=\frac{1}{a}\times a\]
382.

The set of negative natural numbers and whole numbers is called as

A. Natural numbers         
B. integers
C. Positive numbers        
D. 0
Answer» C. Positive numbers        
383.

Thesma Uest number which when divided by 4,6,10,15 gives the same remainder 3 is

A. 57                               
B. 123
C. 63                               
D. 39
Answer» D. 39
384.

The HCF and LCM of two numbers is 16 and 192 respectively if one of the numbers is 64, the other one is

A. 48                
B. 24
C. 72                  
D. None of these
Answer» B. 24
385.

The H.C.F of two number is 28 and their L.C.M is 336. If one number is 112 then the other number is

A. 64                               
B. 84
C. 34                               
D. None of these
Answer» C. 34                               
386.

An example for twin primes is

A. 5, 11                           
B. 3, 5
C. 11, 17              
D. 3, 7
Answer» D. 3, 7
387.

What least number must be subtracted from 13,601 to get a number exactly divisible by 87?

A. 25                               
B. 29
C. 27                               
D. 23
Answer» C. 27                               
388.

The product of two odd numbers is

A. An even number     
B. An odd number
C. Cannot be determined
D. None of these
Answer» C. Cannot be determined
389.

The property represented by \[p,q,r,s,l,m\in I,q\ne 0,s\ne 0,m\ne 0.\]is

A. Commutative property
B. Associative property
C. Distributive property
D. None of these
Answer» D. None of these
390.

The least natural number is ____ .

A. 0                                 
B. 1          
C. 9                                 
D. does not exist
Answer» C. 9                                 
391.

Consider the following statements. H.C.F of two numbers always divides their L.C.M. H.C.F of two co-prime numbers is 1. L.C.M of two co-prime numbers is product of the numbers. Which of the statement given above is/are correct?

A. only (iii)                      
B. and (ii)
C. all (i), (ii) and (iii)       
D. none
Answer» D. none
392.

The L.C.M. of the fractions \[\frac{5}{16},\frac{15}{24}\] and \[\frac{25}{8}\] is    

A.  \[\frac{5}{48}\]                                 
B.  \[\frac{5}{8}\]
C.  \[\frac{75}{48}\]                               
D.  \[\frac{75}{8}\]        
Answer» E.
393.

The H.C.F. of the fractions \[\frac{8}{21},\frac{12}{35},\] and \[\frac{32}{7}\] is

A.  \[\frac{4}{105}\]                               
B.  \[\frac{192}{7}\]
C.  \[\frac{4}{7}\]                                   
D.  \[\frac{5}{109}\]
Answer» B.  \[\frac{192}{7}\]
394.

Which one of the following explains correctly?

A. A number is divisible by 11, if the difference of the sum of the alternative digits is zero or a multiple of 11.
B. A number is divisible by 11, if the last digit of that number is odd.
C. If the sum of the digits of a given number is divisible by 11, then that number is divisible by 11.
D. Given number is divisible by 11, if it is divisible by both 3 and 7.
Answer» B. A number is divisible by 11, if the last digit of that number is odd.
395.

\[a=\frac{p}{q},b=\frac{r}{s},c=\frac{l}{m}\] is an example of

A. Commutative property
B. Associative property
C. Closure property
D. Distributive property
Answer» B. Associative property
396.

Which one of the following is the correct definition of exponent?

A. If the product of two surds is a rational number, then each surd is called a exponent of the other.
B. The set of rational and irrational numbers taken together.
C. The repeated multiplications of the same factor.
D. A surd which consists of three terms.
Answer» D. A surd which consists of three terms.
397.

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: \[5\sqrt{3}\] is an irrational number.                  Reason: For any two given integers a and b there exist unique integers q and r satisfying \[a=bq+r.0\le r

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.
C. A is true but R is false
D. A is false but R is true.
Answer» C. A is true but R is false
398.

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 (A): 2 is a rational number. Reason (R): The square roots of all positive integers are irrationals.

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.
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.
399.

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: (3, 5) and (17, 19) are twin primes Reason: A pair of primes which differ by 2 are called twin primes

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.
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.
400.

Match column I with column II and select the correct answer using the code given below the columns: Column ? I Column - II A. 12 is a                 (p) prime number B. 2, 7 are                (q) not a rational number C. 2 is a                 (r) composite number D. \[\sqrt{2}\] (s) coprime numbers

A.  \[\text{A}-\left( \text{s} \right),\text{B}-\left( \text{r} \right),\text{C}-\left( \text{q} \right),\text{D}-\left( \text{p} \right)\]
B.  \[~\text{A}-\left( \text{r} \right),\text{B}-\left( \text{p} \right),\text{C}-\left( \text{s} \right),\text{D}-\left( \text{q} \right)\]
C.  \[\text{A}-\left( \text{q} \right),\text{B}-\left( \text{r} \right),\text{C}-\left( \text{s} \right),\text{D}-\left( \text{p} \right)\]
D.  \[\text{A}-\left( \text{r} \right),\text{B}-\left( \text{s} \right),\text{C}-\left( \text{p} \right),\text{D}-\left( \text{q} \right)\]
Answer» E.