Number System Questions and Answers updated daily – Aptitude



162 Number System Questions and answers section with explanation for various online exam preparation, various interviews, Aptitude Number System online test. Number System Questions with detailed description, explanation will help you to master the topic.

Number System Questions

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

112, 135, 158, X , 204, 227



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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


2. Find the HCF of 32 , 6?



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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.


3. Find the LCM of 31 , 5 ?



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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.


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

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



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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


5. Find the HCF of 32 , 22 ?



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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.


6. Find the LCM of 31 , 3 ?



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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.


7. Find the Missing number in the the below series

112, 139, 166, X , 220, 247



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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


8. Find the next number

2, 6, 12, 20, ?



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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


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



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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


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



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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


11. What number shoud come next ?

2, 3, 5, 7, 11, ?



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


12. What number comes next : 1023 , 1088 , 1155 , 1224 , ... ?



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Correct Ans:1295
Explanation:
Solution is :
Given series is 1023 , 1088 , 1155 , 1224 ,...
First number (1023) is 32 x 32-1
Second number (1088) is 33 x 33-1
Third number (1155) is 34 x 34 -1
Fourth number (1224) is 35 x 35 -1
Next number has to be 36 x 36-1 = 1295
Answer is 1295


13. Find the missing term :

0, 2, 6, 12, 20, 30, ?



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Correct Ans:42
Explanation:
Solution is :
Given 0, 2, 6, 12, 20, 30
First number (0) is: 12- 1,
Second number (2) is: 22- 2,
Third number (6) is: 32- 3,
Fourth number (12) is: 42- 4,
Fifth number (20) is: 52- 5,
Sixth number (30) is: 62- 6
The next term has to be 72- 7 = 49 - 7 = 42


14. Find the next number

2, 5, 10, 17, ?



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Correct Ans:26
Explanation:
Solution is :
Given : 2, 5 , 10, 17
First number (2) = 12 +1,
Second number (5) = 22 + 1,
Third number (10) = 32 + 1,
Fourth number (17) = 42 +1 ,
Missing number = (52+1) = 25 + 1 = 26
So,Answer is 26


15. What number comes next : 901 , 962 , 1025 , 1090 , ... ?



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Correct Ans:1157
Explanation:
Solution is:
Given 901 , 962 , 1025 , 1090
First number (901) is 30 x 30 + 1
Second number (962) is 31 x 31 + 1
Third number (1025) is 32 x 32 + 1
Fourth number (1090) is 33 x 33 + 1
Next number has to be 34 x 34 +1 = 1157


16. What number comes next : 8 , 15 , 24 , 35 , ... ?



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Correct Ans:48
Explanation:
Solution is
Given 8 , 15 , 24 , 35 , ...
First number (8) is 3 x 3 - 1 ,
Second number (15) is 4 x 4 - 1 ,
Third number (24) is 5 x 5 - 1 ,
Fourth number (35) is 6 x 6 - 1
Next number has to be 7 x 7 - 1 = 48


17. In the given series, can you find the Missing number?
106, 83, X , 37, 14



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Correct Ans:60
Explanation:
Solution is :
The given series is 106, 83, X , 37, 14
Consecutive 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 83 ) we get 83 - 23= 60.


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



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Correct Ans:195
Explanation:
Solution is
Given
99 , 120 , 143 , 168
Logic is :
First number is 10 x 10 - 1 = 99
Second number is 11 x 11 - 1 = 120
Third number is 12 x 12 - 1 = 143
Fourth number is 13 x 13 - 1 = 168
SoNext number has to 14 x 14 - 1 = 195
Answer is 195


19. What number comes next : 8 , 15 , 24 , 35 , ... ?



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Correct Ans:48
Explanation:
Solution is :
Given 8 , 15 , 24 , 35 , ...
First number is 3 x 3-1 ,
Second number is 4 x 4-1 ,
Third number is 5 x 5 -1 ,
Fourth number is 6 x 6 -1
Next number has to 7 x 7-1 = 48


20. Find the NEXT term :

11, 17, 15, 21, 19, ?



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Correct Ans:25
Explanation:
Given 11, 17, 15, 21, 19 The above terms follow the pattern +6, -2, +6, -2, +6, -2, ... 11, 11+6=17, 17-2=15, 15 +6 = 21, 21-2=19 Now, 19+6 =25 Hence the next term has to be 25



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