6
Q:

Find the next two numbers in the sequence

4, 12, 6, 18, 12, 26, 30, ?, ?

A) 36 & 90 B) 90 & 41
C) 45 & 36 D) 41 & 36

Answer:   A) 36 & 90



Explanation:

the next 2 number in series we need to divide the series into 2 different series

First series : 4 , 6, 12, 30 ??

Second Series : 12,18,26, ??

So we need to see for the pattern for those series in order to find the next two number , we can do this by finding the difference or division , multiplication logic whatever may apply :

 

  • Pattern of Series 1 :

 

6 divide 4 : 1.5

Next number i.e 12 divided by 6=2

Next number i.e 30 divided by 12 =2.5

So series is going in multiples of 1.5, 2, 2.5, 3 , so on

So first series will look like

4 , 6, 12, 30, 30x3 =90

 

  • Pattern of Series 2 : 12,18,26, ??

 

Its simple Adding numbers with iterative logic (i.e 6, 8, then followed by 10, 12)

Series will be like 12,18,26,36.

 

For the next two numbers : Series will be like 4, 12, 6, 18, 12, 26, 30, 36, 90

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Q:

Find the one which does not belong to that group ?

A) 343 B) 2197
C) 1331 D) 121
 
Answer & Explanation Answer: D) 121

Explanation:

343 = 73,  1331 = 113 , 2197 = 133, 121 = 112

 

343, 1331, 2197 are perfect cubes, but not 121.

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12 10801
Q:

Find the one which does not belong to that group ?

A) 2T0 B) 1R8
C) 2Y4 D) 1P6
 
Answer & Explanation Answer: C) 2Y4

Explanation:

The digits on either side of the letter in each of the groups 1P6, 2T0, and 1R8 indicate the place value of the letter in the alphabet.

This pattern is not followed by 2Y4.

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31 21042
Q:

Find the one which does not belong to that group ?

A) KMNL B) JLMK
C) PRSQ D) VWYZ
 
Answer & Explanation Answer: D) VWYZ

Explanation:

K+2 M+1 N-2 L,  P+2 R+1 S-2 Q,   V+1 W+2 Y+1 Z,   J+2 L+1 M-2 K  and  W+2 Y+1 Z-2 X.

Except VWYZ, all the other groups follow similar pattern.

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4 4683
Q:

Complete the missing number in the given series.

5,  20,  76,  (—),  448

A) 185 B) 225
C) 415 D) 232
 
Answer & Explanation Answer: B) 225

Explanation:

The series follows the following pattern

5 X 5 – 5 = 20

20 X 4 – 4 = 76

76 X 3 – 3 = 225

225 X 2 – 2 = 448

Hence, the term 225 denoted by (d) completes the series

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8 71588
Q:

What is the next number in this series ? 

4, 6, 12, 18, 30, 42, 60, ?

A) 71 B) 72
C) 73 D) 69
 
Answer & Explanation Answer: B) 72

Explanation:

With close observation, you will note that each number in the list is in the middle of two prime numbers. Thus:

4 is in the middle of 3 and 5, 6 is in the middle of 5 and 7, 12 is in the middle of 11 and 13, 18 is in the middle of 17 and 19, 30 is in the middle of 29 and 31. 42 is in the middle of 41 and 43, 60 is in the middle of 59 and 61.

Therefore, the next number would be the one that is in the middle of the next two prime numbers, which is 72 (which is in the middle of 71 and 73).

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10 77927
Q:

Find out the wrong number in the following series:

5, 15, 30, 80, 180, 540, 1080

A) 540 B) 180
C) 30 D) 80
 
Answer & Explanation Answer: D) 80

Explanation:

There should be 90 instead of 80
so we can have a series
5, 5x3, 15x2, 30x3, 90x2, 180x3, 540x2 and 1080x3 and so on...

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6 28069
Q:

Find the next number in te given series ?

5, 25, 61, 113, ...

A) 142 B) 181
C) 156 D) 179
 
Answer & Explanation Answer: B) 181

Explanation:

Here the series follow the rule that

12+22 = 5

32+42 = 25

52+62 = 61

72+82 = 113

 

SO NEXT IS, 92+102 = 181

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12 71255
Q:

Find the next number in the given series ?


3, 7, 6, 5, 9, 3, 12, 1, 15, . . .

A) 2 B) 0
C) 1 D) -1
 
Answer & Explanation Answer: D) -1

Explanation:

3, 7, 6, 5, 9, 3, 12, 1, 15, ... has two different series

1) 3, 6, 9, 12, 15.....

2) 7, 5, 3, 1, .....

-1 is the next number.

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3 30722