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Number System Questions: Solved 444 Number System Questions and answers section with explanation for various online exam preparation, various interviews, Aptitude Category online test. Category Questions section with detailed description, explanation will help you to master the topic.
Number System Questions
121. Fourth number is missing in the below series. Can you find the Fourth number in the below series ?
117, 140, 163, X , 209, 232
117, 140, 163, X , 209, 232










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Correct Ans:186
Explanation:
The given series is -- 117, 140, 163, X , 209, 232
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 163) we get 163+23=186
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 163) we get 163+23=186
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122. Find a number below 20 which can divide 19 and 22 perfectly?










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Correct Ans:1
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.
1 is correct answer.
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.
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.
1 is correct answer.
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.
Workspace
123. Find the LCM of 41, 3?










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Correct Ans:123
Explanation:
The Least Common Multiple (L.C.M) of 3 and 41 can be computed by using the greatest common factor ie.,GCF of 3 and 41. This is the easiest approach:
L.C.M(3,41) = (3 X 41) / GCF (3,41)
= 123 / 1
= 123
Workspace
124. Can you find the the missing number in the below series
117, 90, 63, X , 9, -18
117, 90, 63, X , 9, -18










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Correct Ans:36
Explanation:
The given series is -- 117, 90, 63, X , 9, -18
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 63) we get 63--27=36
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 63) we get 63--27=36
Workspace
125. Find the HCF of 36 , 14?










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Correct Ans:2
Explanation:
Factors of 36 = 1, 2, 3, 4, 6, 9.
Factors of 14 = 1, 2, and 7.
Therefore, common factor of 36 and 14 = 1 and 2
Highest common factor (H.C.F) of 36 and 14 = 2.
Therefore, 2 is H.C.F. or G.C.D. greatest common divisor of 36 and 14.
H.C.F. or G.C.D. of given numbers is the greatest number which divides all the numbers without leaving a remainder.
Factors of 14 = 1, 2, and 7.
Therefore, common factor of 36 and 14 = 1 and 2
Highest common factor (H.C.F) of 36 and 14 = 2.
Therefore, 2 is H.C.F. or G.C.D. greatest common divisor of 36 and 14.
H.C.F. or G.C.D. of given numbers is the greatest number which divides all the numbers without leaving a remainder.
Workspace
126. Find the LCM of 37 , 30?










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Correct Ans:1110
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.
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.
Workspace
127. Find the Missing number in the the below series
117, 144, 171, X , 225, 252
117, 144, 171, X , 225, 252










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Correct Ans:198
Explanation:
The given series is -- 117, 144, 171, X , 225, 252
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 171) we get 171+27=198
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 171) we get 171+27=198
Workspace
128. Find the highest number which can divide 36 and 12, without leaving any remainder ?










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Correct Ans:12
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.
So,12 is highest number.
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.
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.
So,12 is highest number.
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.
Workspace
129. Two bells ring at an interval of 20 sec and 37 secs. After what least time in seconds, will both the bells ring together ?










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Correct Ans:740
Explanation:
Given
Two bells ring at an interval of 20 to 37 secs
=> When both bells ring together at least time
=> 20 * 37
=> 740 seconds
Two bells ring at an interval of 20 to 37 secs
=> When both bells ring together at least time
=> 20 * 37
=> 740 seconds
Workspace
130. Which number should come in place of the missing Number ?
112, 143, 174, X , 236, 267
112, 143, 174, X , 236, 267










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Correct Ans:205
Explanation:
The given series is -- 112, 143, 174, X , 236, 267
Consequtive numbers increases by 31
Following this pattern, the Missing Number X should increase by 31 from the previous number.
When we add 31 to the number before X (i.e 174) we get 174+31=205
Consequtive numbers increases by 31
Following this pattern, the Missing Number X should increase by 31 from the previous number.
When we add 31 to the number before X (i.e 174) we get 174+31=205
Workspace
131. Find the HCF of 36 , 10?










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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.
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.
Workspace
132. Find the LCM of 37 , 24?










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Correct Ans:888
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.
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.
Workspace
133. What should come in place of X in the below number series?
112, 83, 54, X , -4, -33
112, 83, 54, X , -4, -33










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Correct Ans:25
Explanation:
The given series is -- 112, 83, 54, X , -4, -33
Consequtive numbers decreases by 29
Following this pattern, the Missing Number X should decrease by 29 from the previous number.
When we subract 29 to the number before X (i.e 54) we get 54-29=25
Consequtive numbers decreases by 29
Following this pattern, the Missing Number X should decrease by 29 from the previous number.
When we subract 29 to the number before X (i.e 54) we get 54-29=25
Workspace
134. Find the HCF of 36 , 8?










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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.
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.
Workspace
135. Find the LCM of 37 , 7?










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Correct Ans:259
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.
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.
Workspace
136. Output of a particular program follows the below pattern. Can you find the Missing number?
112, 141, 170, X , 228, 257
112, 141, 170, X , 228, 257










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Correct Ans:199
Explanation:
The given series is -- 112, 141, 170, X , 228, 257
Consequtive numbers increases by 29
Following this pattern, the Missing Number X should increase by 29 from the previous number.
When we add 29 to the number before X (i.e 170) we get 170+29=199
Consequtive numbers increases by 29
Following this pattern, the Missing Number X should increase by 29 from the previous number.
When we add 29 to the number before X (i.e 170) we get 170+29=199
Workspace
137. Find the HCF of 36 , 6?










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Correct Ans:6
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.
The HCF is 6
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.
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.
The HCF is 6
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.
Workspace
138. Find the LCM of 37 , 5?










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Correct Ans:185
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.
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.
Workspace
139. In the below given sequence, what should be the Missing number ?
112, 87, 62, X , 12, -13
112, 87, 62, X , 12, -13










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Correct Ans:37
Explanation:
The given series is -- 112, 87, 62, X , 12, -13
Consequtive numbers decreases by 25
Following this pattern, the Missing Number X should decrease by 25 from the previous number.
When we subract 25 to the number before X (i.e 62) we get 62-25=37
Consequtive numbers decreases by 25
Following this pattern, the Missing Number X should decrease by 25 from the previous number.
When we subract 25 to the number before X (i.e 62) we get 62-25=37
Workspace
140. Find the HCF of 36 , 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.
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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