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A Learning Portal from Recruitment India
What will come at the place of question mark?
4, 7, 12, 19, 28, ?
36
39
30
49
Answer with explanation
Answer: Option BExplanation
First term : 4
Second term: 4+3 = 7
Third term : 7+5 = 12
Fourth term : 12+7 = 19.
Fifth term : 19+9 = 28.
Therefore,
Next Terms : 28+11 = 39
Workspace
The given number series only one number is wrong. Find out the wrong number.
3, 12, 8, 19, 13, 32, 18, 42, 23, 52
19
42
Answer with explanation
Answer: Option CExplanation
The sequence is a combination of following two series:
I. 3, 8, 13, 18, 23 and II. 12, 19, 32, 42, 52
The pattern in I has a constant difference of +5, and the pattern in II has a constant difference of +10. So, in II, 19 is wrong and should be replaced by (12+10) i.e. 22
Workspace
6,5,24,25,144,(?)
155
160
175
170
Answer with explanation
Answer: Option CExplanation
as we can see that when 6*4=24 then 5*5=25 then again 24*6=144,hence 25*7=175 . there is a constant multiplication of x+1 where initially x is 4 then 5 then 6 and at last 7
Workspace
Look at this series: 7, 10, 8, 11, 9, 12, … What number should come next?
7
10
12
13
Answer with explanation
Answer: Option BExplanation
This is a simple alternating addition and subtraction series.
In the first pattern, 3 is added;
In the second pattern, 2 is subtracted.
Rule =(1st number) (1st number + 3 = 2nd number) (2nd number – 2 = 3rd number) (3rd number + 3 = 4th number)
Now (7) (7 + 3 = 10) (10 – 2 = 8) (8 + 3 = 11) (11 – 2 = 9) (9 + 3 = 12) (12 – 2 = 10)…
So the answer is b = 10.
Workspace
What is the next number in this sequence ?
1, 3, 8, 19, 42, 89, ..?..
97
108
167
184
Answer with explanation
Answer: Option DExplanation
Let us first closely examine the sequence for any mathematical correlation between the numbers of sequence
It is visualized that sequence, is progressing with multiplication of ×2 in the number of the sequence then addition of increasing consecutive number starting from +1 (viz 1, 2, 3, 4, 5, 6…) in the previous number of the sequence to obtain next number of the sequence.
The given sequence is
1, 3, 8, 19, 42, 89, ___?
Let us see from first number onward
1 × 2 + 1 = 3
3 × 2 + 2 = 8
8 × 2 + 3 = 19
19 × 2 + 4 = 42
42 × 2 + 5 = 89
89 × 2 + 6 = 184
184 × 2 + 7 = 375
375 × 2 + 8 = 758
The extended sequence is
1, 3, 8, 19, 42, 89, 184, 375, 758
Answer the next numbers in the sequence are 184, 375 and 758
Workspace
What comes next?
7 8 16 43 ?
86
96
107
103
Answer with explanation
Answer: Option CExplanation
Explanation:
8 – 7 = 1
16 – 8 = 8
43 -16 = 27
1, 8, 27 are cubes of 1, 2 and 3
So next difference must be cube of 4
So, ? – 43 = 43 = 64
So, ? = 64+43 = 107
Workspace
What should come in place of question mark (?) in the following number series?
132 156 ? 210 240 272
182
196
199
204
Answer with explanation
Answer: Option AExplanation
Explanation:
The given series follows a logic that
11 x 12, 12 x 13, 13 x 14, 14 x 15, 15 x 16,…
So the missing number is 13 x 14 = 182
Workspace
Look at this series: VI, 10, V, 11, __, 12, III, … What number should fill the blank?
II
IV
IX
14
Answer with explanation
Answer: Option BExplanation
This is an alternating addition and subtraction series. Roman numbers alternate with Arabic numbers. In the Roman numeral pattern, each number decreases by 1. In the Arabic numeral pattern, each number increases by 1.
Workspace
Look at this series: 2, 1, (1/2), (1/4), … What number should come next? |
(1/3)
(2/8)
(1/16) |
(1/8)
Answer with explanation
Answer: Option DExplanation
This is a simple division series; each number is one-half of the previous number.
In other terms to say, the number is divided by 2 successively to get the next result.
4/2 = 2 2/2 = 1 1/2 = 1/2 (1/2)/2 = 1/4 (1/4)/2 = 1/8 and so on.
Workspace
7
10
12
13
Answer with explanation
Answer: Option BExplanation
This is a simple alternating addition and subtraction series. In the first pattern, 3 is added; in the second, 2 is subtracted.
Hence, 7 +3 10 -2 8 +3 11 -2 9 +3 12 -2 10
Workspace
9 11 33 13 15 33 17
19 33
33 35
33 19
15 33
Answer with explanation
Answer: Option AExplanation
In this alternating repetition series, a random number, 33, is interpolated every third number into a simple addition series, in which each number increases by 2.
Workspace
20, 4, 24, 64, 30, 196, 38, ?
361
441
400
420
Answer with explanation
Answer: Option CExplanation
Here we see ups and downs in the series so there is a chance of 2 separate series
We can have 20 24 30 38 as one series
And 4 64 196 as other series.
Both series occur alternately so next term has to be of the second series.
In first series difference is
24 – 20 = 4
30 – 24 = 6
38 – 30 = 8
So, difference increases by 2
In second series, We see they are squares i.e. 22, 82, 142
8-2 = 6
14-8 = 6
So next number, ? – 14 has to be = 6
So, ? = 14+6 = 20
So next term is 202 = 400
Workspace
Find the missing term in the following series ?
10000, 11000, 9900, 10890, ?, 10781
10423
9801
10241
9712
Answer with explanation
Answer: Option BExplanation
Clearly, alternatively we add and subtract 10% of a term to obtain the next term of the series.
Thus, 10000 + (10% of 10000)= 11000;
11000 – (10% of 11000) = 9900;
9900 + (10% of 9900) = 10890;
10890 – (10% of 10890) = 9801.
9801 + (10% of 9801) = 9801+980 = 10781.
So, missing term = 10890- (10% of 10890)= 9801.
Workspace
Look at this series: 8, 22, 8, 28, 8, … What number should come next?
9
29
32
34
Answer with explanation
Answer: Option DExplanation
This is a simple addition series with a random number, 8, interpolated as every other number. In the series, 6 is added to each number except 8, to arrive at the next number.
Workspace