Explore topic-wise MCQs in 6th Class.

This section includes 1770 Mcqs, each offering curated multiple-choice questions to sharpen your 6th Class knowledge and support exam preparation. Choose a topic below to get started.

301.

Through a line in a plane, number of lines that can be drawn is ______.

A.  1
B.  2
C.  0
D.  Infinite
Answer» E.
302.

The HCF of the denominator and the numerator of a fraction which is in its lowest form is

A.  1
B.  0
C.  Always an even number
D.  Can't be determined
Answer» B.  0
303.

Observe the following patterns. Then find the sum of 1+3+5+7+9+...+19. 1 \[=1\times 1=1\] 1+3 \[=2\times 2=4\] 1+3+5 \[=3\times 3=9\] 1+3+5+7 \[=4\times 4=16\] 1+3+5+7+9 \[=5\times 5=25\]

A.  121
B.  81
C.  100
D.  64
Answer» D.  64
304.

A number which has more than two factors is called a

A.  Composite number
B.  Even number
C.  Odd number
D.  Prime number
Answer» B.  Even number
305.

Give an example for twin primes.

A. 5, 11                     
B. 3, 5  
C. 11, 17  
D. 3, 7
Answer» C. 11, 17  
306.

What is the H.C.F. of 17 and 5?

A. 1                              
B. 5
C. 17                         
D. 85
Answer» B. 5
307.

What is the possible value of the product of P and Q, given that their H.C.F is 12 and L.C.M is 120?

A. 1200     
B. 120
C. 1440       
D. 144
Answer» D. 144
308.

Identify the H.C.F. of the first even number and the fifth composite number.

A. 10                         
B. 2  
C. 20                         
D. 5
Answer» C. 20                         
309.

Which of the following is the least perfect square which is divisible by 3,4,5,6 and 8?

A. 900                       
B. 2500
C. 1200     
D. 3600  
Answer» E.
310.

The sum of all the prime factors of m is 9. Find the number m.

A. 15                         
B. 28
C. 20                                           
D. 63
Answer» D. 63
311.

67, 61, p, q, r, s, 41 is an arrangement of prime numbers in decreasing order. Among the following, which is the number 53?

A. p                           
B. r
C. q                             
D. s
Answer» D. s
312.

The lowest common multiple of 8,16 and p is 48. What is the possible value of p?

A.  64                         
B.  24  
C.  2                            
D. 32
Answer» C.  2                            
313.

Observe the given multiples of 37. \[\underline{\begin{align}   & \underline{\begin{align}   & \text{37  }\times \text{  3=111} \\  & \text{37  }\times \text{  6 = 222} \\  & \text{37  }\times \text{  9 = 333} \\  & \text{37  }\times \text{  12=444} \\ \end{align}} \\  &  \\ \end{align}}\] Find the product of\[\text{37 }\!\!\times\!\!\text{ 27}\].

A.  999
B.  The greatest 3 digit number.
C.  Both [a] and [b]  
D.  The smallest 3-digit number.
Answer» D.  The smallest 3-digit number.
314.

The HCF of two consecutive odd numbers is

A.  2
B.  0
C.  4
D.  1
Answer» E.
315.

What is the L.C.M. of 17 and 5?

A. 105                                       
B. 95
C. 85                           
D. 5
Answer» D. 5
316.

Three bells toll together at intervals of 9, 12 and 15 minutes. If they start toiling together, after what time will they toll next?

A. 1 hour 
B. \[\text{1}\frac{1}{2}\]hours
C. \[2\frac{1}{2}\] hours   
D. 3 hours  
Answer» E.
317.

If a and bare co-primes, then what is their L.C.M.?

A. 1                            
B. \[\frac{\text{a}}{\text{b}}\]
C. \[\text{ab}\]                      
D. \[\text{a + b}\]
Answer» D. \[\text{a + b}\]
318.

What is the L.C.M. of 12, 15, 20 and 27?

A. 270                       
B. 360
C. 480                       
D. 540  
Answer» E.
319.

What is the greatest number which divides 134 and 167 leaving 2 as remainder in each case?

A.  34                                         
B.  37
C.  39                                         
D.  33  
Answer» E.
320.

Which of the following products is an odd number?

A.  \[\text{even  }\!\!\times\!\!\text{  odd  }\!\!\times\!\!\text{  even}\]
B.  \[\text{odd  }\!\!\times\!\!\text{  odd  }\!\!\times\!\!\text{  even}\]
C.  \[\text{even  }\!\!\times\!\!\text{  even  }\!\!\times\!\!\text{  even}\]
D.  \[\text{odd  }\!\!\times\!\!\text{  odd  }\!\!\times\!\!\text{  odd}\]  
Answer» E.
321.

Ravi wrote two digits of a 3-digit number on the blackboard as shown below. Find the missing digit if 11 is its factor.

A.  2                                              
B.  4
C.  6                            
D. 8
Answer» B.  4
322.

Which of the following is a factor of the number shown on the spike abacus?

A.  10                                         
B.  7
C.  5                            
D. 8  
Answer» E.
323.

The smallest number which when divided by 20, 25, 35 and 40 leaves a remainder of 14, 19, 29 and 34 respectively, is _________.

A.  1394
B.  1404
C.  1664
D.  1406
Answer» B.  1404
324.

Which of the following is the L.C.M. of 36 and 72?

A. 36                                         
B. 72  
C. 108                       
D. 2
Answer» C. 108                       
325.

Observe the following sums. What is the result of the sum 1+3+5+7+9+ ..... +15?

A. 121                       
B. 81
C. 100                       
D. 64  
Answer» E.
326.

The table given lists the number of factors for some numbers.NumberNumber of factors214232253274292What is the number of prime numbers between 20 and 30 from the given table?

A.  0                                            
B.  2  
C.  3                            
D. 4
Answer» C.  3                            
327.

The L.C.M of two numbers is 3718. Which of the following numbers CANNOT possibly be the H.C.F of these numbers?

A. 13                         
B. 26
C. 104                         
D. 143
Answer» D. 143
328.

What is the prime factorisation of 143?

A.  \[\text{2 }\!\!\times\!\!\text{ 11 }\!\!\times\!\!\text{ 13}\]      
B. \[\text{11 }\!\!\times\!\!\text{ 13}\]  
C.  \[\text{2 }\!\!\times\!\!\text{ 3 }\!\!\times\!\!\text{ 7}\]           
D. \[\text{1 }\!\!\times\!\!\text{ 2 }\!\!\times\!\!\text{ 3 }\!\!\times\!\!\text{ 7}\]
Answer» C.  \[\text{2 }\!\!\times\!\!\text{ 3 }\!\!\times\!\!\text{ 7}\]           
329.

The L.C.M. of 64 and 48 is 192.What is the H.C.F. of these numbers?

A. 16                                           
B. 24
C. 8                                            
D. 12
Answer» B. 24
330.

What is the least value that should be given to * so that the number 653*47 is divisible by 11?

A. 9                            
B. 6
C. 2                            
D. 1  
Answer» E.
331.

Every even number greater than 4 can be expressed as a sum of two odd prime numbers. Which of the following is an example for this statement?

A. 8 = 1 + 7              
B. 8 = 3 + 5  
C. 4 = 1 + 3              
D. 4 = 2 + 2
Answer» C. 4 = 1 + 3              
332.

Match the following. Column I Column II (i) 49 (p) Multiple of 3 (ii) 25 (q) Multiple of 4 (iii) 16 (r) Multiple of 7 (iv) 39 (s) Multiple of 5

A. (i) (ii) (iii) (iv) S p r q
B. (i) (ii) (iii) (iv) r s q p
C. (i) (ii) (iii) (iv) s r p q
D. (i) (ii) (iii) (iv) p q r s
Answer» C. (i) (ii) (iii) (iv) s r p q
333.

Which of the following numbers is a perfect number?

A. 6                            
B. 28
C. 6 and 28               
D. 34
Answer» D. 34
334.

The number (11, 13) are ________ numbers.

A.  Co-prime
B.  Prime
C.  Both prime and co-prime
D.  None of these
Answer» D.  None of these
335.

Which is the number that is neither prime nor composite?

A.  0                                            
B.  1  
C.  2                            
D. 5
Answer» C.  2                            
336.

Find the value of a + b + c, if 373a is divisible by 9, 473b is divisible by 11 and 371 c is divisible by 6.

A.  7
B.  6
C.  0
D.  9
Answer» E.
337.

Which of the following numbers is divisible by 11?

A. 3,116,365           
B. 901,351  
C. 8,790,322           
D. 311136
Answer» C. 8,790,322           
338.

Fill in the blanks. (i) The HCF of two co-prime numbers is   P . (ii) Two natural numbers which have no common factor except 1 are called  Q    numbers. (iii) If a number is divisible by 9 then sum of its digits must be divisible by   R   .

A. P Q R 1 prime 3
B. P Q R 1 co-prime 9
C. P Q R 0 prime 9
D. P Q R 0 co-prime 3
Answer» C. P Q R 0 prime 9
339.

Read the following statements. Statement 1: A number for which sum of all its factors is equal to twice the number is called perfect number. Statement 2: If two numbers are divisible by a number, then their sum and difference are also divisible by that number. Which of the following options holds?

A.  Both Statement-1 and Statement-2 are true.
B.  Statement-1 is true but Statement-2 is false.
C.  Statement-1 is false but Statement-2 is true.
D.  Both Statement-1 and Statement-2 are false.
Answer» B.  Statement-1 is true but Statement-2 is false.
340.

A number is always divisible by 90 if

A.  it is divisible by both 2 and 45.
B.  it is divisible by both 5 and 18.
C.  it is divisible by both 9 and 10.
D.  All the above.  
Answer» E.
341.

State T for true and 'F' for false. (i) If an even number is divided by 2, the quotient is always odd. (ii) All even numbers are composite numbers. (iii) The LCM of two co-prime numbers cannot be equal to their product. (iv) Every number is a factor of itself.

A. (i) (ii) (iii) (iv) T T F F
B. (i) (ii) (iii) (iv) F F F T
C. (i) (ii) (iii) (iv) T F T T
D. (i) (ii) (iii) (iv) F F T T
Answer» C. (i) (ii) (iii) (iv) T F T T
342.

What is the greatest number that divides 37,50 and 123 leaving remainders 1,2 and 3 respectively?

A. 9                            
B. 10
C. 15                         
D. 12  
Answer» E.
343.

Four bells ring at intervals of 6, 7, 8 and 9 seconds respectively. After how many seconds do all the bells ring together?

A. 504                         
B. 516
C. 508                       
D. 512
Answer» B. 516
344.

Two tankers contain 850 litres and 680 litres of kerosene oil respectively, then the maximum capacity of a container which can measure the kerosene out of both the tankers when used an exact number of times is _________.

A.  170 litres
B.  85 litres
C.  34 litres
D.  10 litres
Answer» B.  85 litres
345.

What is the greatest 4-digit number exactly divisible by 12, 15, 20 and 35?

A.  9999                     
B.  9660  
C.  9832                     
D.  9860
Answer» C.  9832                     
346.

Three boys steps off together from the same spot. Their steps measure 63 cm, 70 cm and 77 cm, respectively. What is the minimum distance each should cover so that all can cover distanced complete steps?

A.  6930cm
B.  6000cm
C.  7000cm
D.  6520cm
Answer» B.  6000cm
347.

The least number of square tiles that will be needed to pave a plot 225 m by 30 m is

A.  30 tiles
B.  15 tiles
C.  25 tiles
D.  45 tiles
Answer» B.  15 tiles
348.

What is the least number which when decreased by 7 is exactly divisible by 12, 16, 18, 21 and 28?

A. 1012                     
B. 1008
C. 1015       
D. 1022
Answer» D. 1022
349.

What is the smallest number which when divided by 20, 25, 35 and 40 leaves a remainder of 14, 19, 29 and 34 respectively?

A. 1394                       
B. 1404
C. 1664     
D. 1406
Answer» B. 1404
350.

There are 153 apples and 119 oranges. These fruits are to be arranged in heaps containing the same number of fruits. Then the greatest number of fruits possible in each heap is _________.

A.  15
B.  23
C.  17
D.  20
Answer» D.  20