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Coding and Decoding Questions
Directions: Read the information carefully and answer the questions given below.
In a certain code language,
'speak nicely to all' is coded as "ka cu ma he"
'all are like us' is coded as " si fo he to"
'teach us lesson nicely' is coded as " po ma fo re"
'lesson like all humans' is coded as "he re gu si"
Refer the above for the Questions 1 to 1
In a certain code language,
'speak nicely to all' is coded as "ka cu ma he"
'all are like us' is coded as " si fo he to"
'teach us lesson nicely' is coded as " po ma fo re"
'lesson like all humans' is coded as "he re gu si"
Refer the above for the Questions 1 to 1
Number System Questions
161. Find the next number
2, 6, 12, 20, ?
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
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
162. 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
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
163. 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
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
164. What number shoud come next ?
2, 3, 5, 7, 11, ?
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
2, 3, 5, 7, 11
Prime numbers written in the order
Answer is 13
165. 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
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
166. Find the missing term :
0, 2, 6, 12, 20, 30, ?
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
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
167. Find the next number
2, 5, 10, 17, ?
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
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
168. 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
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
169. 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
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
170. In the given series, can you find the Missing number?
106, 83, X , 37, 14
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.
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.
171. 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
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
172. 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
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
173. Find the NEXT term :
11, 17, 15, 21, 19, ?
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
174. Find the NEXT term :
0, 2, 6, 12, 20, 30, ?
0, 2, 6, 12, 20, 30, ?










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Correct Ans:42
Explanation:
Given flow is: 0, 2, 6, 12, 20, 30
Logic is:
12– 1 = 0
22– 2 = 2
32– 3 = 6
42– 4 = 12
52– 5 = 20
62 – 6 = 30
The next term has to be 72– 7 = 42
Answer is42
Logic is:
12– 1 = 0
22– 2 = 2
32– 3 = 6
42– 4 = 12
52– 5 = 20
62 – 6 = 30
The next term has to be 72– 7 = 42
Answer is42
175. What number shoud come next 34, 17, 18, 9, ?










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Correct Ans:10
Explanation:
Solution is
Given 34, 17, 18, 9
Second number is half of first number => 34 / 2 = 17
Third number is Second number + 1 => 17 + 1 = 18
Fourth number is half of third number => 18 / 2 = 9
Fifth number is fourth number + 1 => 9 + 1 = 10
Alternately divide by 2 and add 1
Answer is 10
Given 34, 17, 18, 9
Second number is half of first number => 34 / 2 = 17
Third number is Second number + 1 => 17 + 1 = 18
Fourth number is half of third number => 18 / 2 = 9
Fifth number is fourth number + 1 => 9 + 1 = 10
Alternately divide by 2 and add 1
Answer is 10
176. What number shoud come next ?
12, 30, 56, ?
12, 30, 56, ?










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Correct Ans:100
Explanation:
12 =3 x 4
30 = 5 x 6
56 = 7 x 8
90 = 9 x 10
30 = 5 x 6
56 = 7 x 8
90 = 9 x 10
177. Look at this series: 2, 1, (1/2), (1/4), … What number should come next ?










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Correct Ans:1 / 8
Explanation:
Solution is
Given : 2 , 1 , 1/2 , 1/4
Divide each number by 2 to get the next number
2 / 2 = 1
1 / 2 = 1 / 2
1 / (2 x 2) = 1 / 4
1 / (4 x 2) = 1 / 8
Answer is 1 / 8
Given : 2 , 1 , 1/2 , 1/4
Divide each number by 2 to get the next number
2 / 2 = 1
1 / 2 = 1 / 2
1 / (2 x 2) = 1 / 4
1 / (4 x 2) = 1 / 8
Answer is 1 / 8
178. Find the next number, 2, 5, 10, 17, ?










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Correct Ans:26
Explanation:
Solution is :
Given : 2, 5 , 10, 17
= 12 +1, 22 + 1, 32 + 1, 42 +1 , (52+1)
So,
Answer is 26
Given : 2, 5 , 10, 17
= 12 +1, 22 + 1, 32 + 1, 42 +1 , (52+1)
So,
Answer is 26
179. Find the next number,
2, 6, 12, 20, ?
2, 6, 12, 20, ?










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Correct Ans:30
Explanation:
Given : 2, 6, 12, 20
1 x 2, 2 x 3, 3 x 4, 4 x 5, (5 x 6)
Answer is 30.
Product of two consecutive natural numbers
180. If a quarter kg of potato costs 60 paisa, how many paisa will 200gm cost ?










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Correct Ans:52
Explanation:
Quarter kg = 250 grams
Less weight, less price (direct proportion)
250 : 200 :: 60 : x
x = (200 x 60)/ 250 => x = 48
So 200 gm will cost 48 paisa
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