Number System: Solved 300 Number System Questions and answers section with explanation for various online exam preparation, various interviews, Logical Reasoning Category online test. Category Questions section with detailed description, explanation will help you to master the topic.

Number System Questions

1. A professor wrote down the below series in a class room. He wants his students to find the Missing number. Can you solve it ?

112, 91, 70, X , 28, 7




SHOW ANSWER
Correct Ans:49
Explanation:
The given series is -- 112, 91, 70, X , 28, 7
Consequtive numbers decreases by 21
Following this pattern, the Missing Number X should decrease by 21 from the previous number.
When we subract 21 to the number before X (i.e 70) we get 70-21 = 49


2. Find the HCF of 32 , 12?




SHOW ANSWER
Correct Ans:4
Explanation:
The fastest way to find the correct answer is by elimination rule :
Check whether each of the given choices divides both the numbers. If any of the given choices doesn’t divide both the numbers, then you can eliminate that particular choice and move to the next choice. Answer will be the HIGHEST Number that exactly divides both given numbers.
Please Note : There may be a scenario when two or more numbers in the choice will exactly divide both the numbers, in that case , please choose the Highest among the numbers.


3. Find the LCM of 31 , 20?




SHOW ANSWER
Correct Ans:620
Explanation:
The fastest way to find the correct answer is by elimination rule :
Check whether each of the given choices is divisble by both the numbers. If any choice doesn’t get divided by both the numbers, then you can eliminate that particular choice and move to the next number. Answer will be the Number that is exactly divisble by both given numbers.
Please Note : There may be a scenario when two or more numbers in the choice will be exactly divisible by both the numbers, in that case , please choose the lowest among the numbers.


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4. Below Numbers follow a particular pattern. Can you find the Missing number in the below pattern?

112, 133, 154, X , 196, 217




SHOW ANSWER
Correct Ans:175
Explanation:
The given series is -- 112, 133, 154, X , 196, 217
Consequtive numbers increases by 21
Following this pattern, the Missing Number X should increase by 21 from the previous number.
When we add 21 to the number before X (i.e 154) we get 154+21=175


5. Find the HCF of 32 , 10?




SHOW ANSWER
Correct Ans:2
Explanation:
The fastest way to find the correct answer is by elimination rule :
Check whether each of the given choices divides both the numbers. If any of the given choices doesn’t divide both the numbers, then you can eliminate that particular choice and move to the next choice. Answer will be the HIGHEST Number that exactly divides both given numbers.
Please Note : There may be a scenario when two or more numbers in the choice will exactly divide both the numbers, in that case , please choose the Highest among the numbers.


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6. Find the LCM of 31 , 24?




SHOW ANSWER
Correct Ans:744
Explanation:
The fastest way to find the correct answer is by elimination rule :
Check whether each of the given choices is divisble by both the numbers. If any choice doesn’t get divided by both the numbers, then you can eliminate that particular choice and move to the next number. Answer will be the Number that is exactly divisble by both given numbers.
Please Note : There may be a scenario when two or more numbers in the choice will be exactly divisible by both the numbers, in that case , please choose the lowest among the numbers.


7. In the given series, can you find the Missing number ?

112, 89, 66, X , 20, -3




SHOW ANSWER
Correct Ans:43
Explanation:
The given series is -- 112, 89, 66, X , 20, -3
Consequtive numbers decreases by 23
Following this pattern, the Missing Number X should decrease by 23 from the previous number.
When we subract 23 to the number before X (i.e 66) we get 66-23=43


8. Find the HCF of 32 , 8?




SHOW ANSWER
Correct Ans:8
Explanation:
The fastest way to find the correct answer is by elimination rule :
Check whether each of the given choices divides both the numbers. If any of the given choices doesn’t divide both the numbers, then you can eliminate that particular choice and move to the next choice. Answer will be the HIGHEST Number that exactly divides both given numbers.
Please Note : There may be a scenario when two or more numbers in the choice will exactly divide both the numbers, in that case , please choose the Highest among the numbers.


9. Find the LCM of 31 , 7?




SHOW ANSWER
Correct Ans:217
Explanation:
The fastest way to find the correct answer is by elimination rule :
Check whether each of the given choices is divisble by both the numbers. If any choice doesn’t get divided by both the numbers, then you can eliminate that particular choice and move to the next number. Answer will be the Number that is exactly divisble by both given numbers.
Please Note : There may be a scenario when two or more numbers in the choice will be exactly divisible by both the numbers, in that case , please choose the lowest among the numbers.


10. Fourth number is missing in the below series. Can you find the Fourth number in the below series ?

112, 135, 158, X , 204, 227




SHOW ANSWER
Correct Ans:181
Explanation:
The given series is -- 112, 135, 158, X , 204, 227
Consequtive numbers increases by 23
Following this pattern, the Missing Number X should increase by 23 from the previous number.
When we add 23 to the number before X (i.e 158) we get 158+23=181


11. Find the HCF of 32 , 6?




SHOW ANSWER
Correct Ans:2
Explanation:
The fastest way to find the correct answer is by elimination rule :
Check whether each of the given choices divides both the numbers. If any of the given choices doesn’t divide both the numbers, then you can eliminate that particular choice and move to the next choice. Answer will be the HIGHEST Number that exactly divides both given numbers.
Please Note : There may be a scenario when two or more numbers in the choice will exactly divide both the numbers, in that case , please choose the Highest among the numbers.


Fresherslive Current Affairs
12. Find the LCM of 31 , 5 ?




SHOW ANSWER
Correct Ans:155
Explanation:
The fastest way to find the correct answer is by elimination rule :
Check whether each of the given choices is divisble by both the numbers. If any choice doesn’t get divided by both the numbers, then you can eliminate that particular choice and move to the next number. Answer will be the Number that is exactly divisble by both given numbers.
Please Note : There may be a scenario when two or more numbers in the choice will be exactly divisible by both the numbers, in that case , please choose the lowest among the numbers.


13. Can you find the the missing number in the below series

112, 85, 58, X , 4, -23




SHOW ANSWER
Correct Ans:31
Explanation:
The given series is -- 112, 85, 58, X , 4, -23
Consequtive numbers decreases by 27
Following this pattern, the Missing Number X should decrease by 27 from the previous number.
When we subract 27 to the number before X (i.e 58) we get 58-27=31


14. Find the HCF of 32 , 22 ?




SHOW ANSWER
Correct Ans:2
Explanation:
The fastest way to find the correct answer is by elimination rule :
Check whether each of the given choices divides both the numbers. If any of the given choices doesn’t divide both the numbers, then you can eliminate that particular choice and move to the next choice. Answer will be the HIGHEST Number that exactly divides both given numbers.

Please Note : There may be a scenario when two or more numbers in the choice will exactly divide both the numbers, in that case , please choose the Highest among the numbers.


15. Find the LCM of 31 , 3 ?




SHOW ANSWER
Correct Ans:93
Explanation:
The fastest way to find the correct answer is by elimination rule :

Check whether each of the given choices is divisble by both the numbers. If any choice doesn’t get divided by both the numbers, then you can eliminate that particular choice and move to the next number.
Answer will be the Number that is exactly divisble by both given numbers.

Please Note : There may be a scenario when two or more numbers in the choice will be exactly divisible by both the numbers, in that case , please choose the lowest among the numbers.


16. Find the Missing number in the the below series

112, 139, 166, X , 220, 247




SHOW ANSWER
Correct Ans:193
Explanation:
The given series is -- 112, 139, 166, X , 220, 247
Consequtive numbers increases by 27
Following this pattern, the Missing Number X should increase by 27 from the previous number.
When we add 27 to the number before X (i.e 166) we get 166+27=193


17. Find the next number

2, 6, 12, 20, ?




SHOW ANSWER
Correct Ans:30
Explanation:
Solution is
Each number in the given series is the Product of two consecutive natural numbers.
Given series is 2, 6, 12, 20
First number = 1 x 2 = 2
Second number = 2 x 3 = 6
Third number = 3 x 4 =12
Fourth number = 4 x 5 = 20
Next number will be = (5 x 6) = 30
Answer is 30


18. What number comes next : 899 , 960 , 1023 , 1088 , ... ?




SHOW ANSWER
Correct Ans:1155
Explanation:
Given
899 , 960 , 1023 , 1088 ,...
First number (899) is 30 x 30 - 1
Second number (960) is 31 x 31 - 1
Third number (1023) is 32 x 32 - 1
Fourth number (1088) is 33 x 33 - 1
Next number has to be 34 x 34 - 1 = 1155
Answer is 1155


19. What number comes next : 99 , 120 , 143 , 168 , ... ?




SHOW ANSWER
Correct Ans:195
Explanation:
Given
Given series is 99 , 120 , 143 , 168 , ...
First number (99) is 10 x 10 - 1
Second number (120) is 11 x 11 - 1
Third number (143) is 12 x 12 - 1
Fourth number (168) is 13 x 13 - 1
Next number has to be 14 x 14 - 1 = 195
Answer is 195


20. What number shoud come next ?

2, 3, 5, 7, 11, ?




SHOW ANSWER
Correct Ans:13
Explanation:
Solution is
2, 3, 5, 7, 11
Prime numbers written in the order
Answer is 13





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