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Directions to Solve:
Choose the correct alternative that will continue the same pattern and replace the question mark in the given series.
Question. 120, 99, 80, 63, 48, ?
1st term = 120
2nd term = 12021 = 99
3rd term = 9919 = 80
4th term = 80  17 = 63
5th term = 63  15 = 48
⇒ For every next term , preious term is substracteed in the order: 21, 19, 17, 15, 13,.....
So, missing term = 48  13 = 35
Directions to Solve:
Choose the correct alternative that will continue the same pattern and replace the question mark in the given series.
Question: 589654237, 89654237, 8965423, 965423, ?
The digits are removed one by one from the beginning and the end in order alternately.
So, as to obtain the subsequent terms of the series.
1st term = 589654237
2nd term = 89654237
3rd term = 8965423
4th term = 965423
5th term = 96542
Directions to Solve:
Choose the correct alternative that will continue the same pattern and replace the question mark in the given series.
Question: 3, 10, 101,?
Each term in the series is obtained by adding 1 to the square of the preceding term.
So, missing term = (101)^{2} + 1 = 10202.
Directions to Solve:
Choose the correct alternative that will continue the same pattern and replace the question mark in the given series.
Question: In series 2, 6, 18, 54, ...... what will be the 8th term ?
1st term = 2 x 3 = 6
2nd term = 6 x 3 = 18
3rd term = 18 x 3 = 54,.....
⇒ Series is a G.P. in which a = 2, r = 3.
∴ 8th term = ar^{81} = ar^{7} = 2 x 3^{7} = (2 x 2187) = 4374.
Directions to Solve:
Choose the correct alternative that will continue the same pattern and replace the question mark in the given series.
Question: 125, 80, 45, 20,?
1st term = 125
2nd term = 125  45 = 80
3rd term = 80  35 = 45
4th term = 45 25 = 20
⇒ For every next term, preious term is substracteed in the order:  45,  35,  25, .....
So, missing term = 20  15 = 5
Directions to Solve:
Choose the correct alternative that will continue the same pattern and replace the question mark in the given series.
Question: 1, 1, 4, 8, 9, 27, 16, ?
The series consists of squares and cubes of consecutive natural numbers i.e. 1^{2}, 1^{3}, 2^{2}, 2^{3}, 3^{2}, 3^{3}, 4^{2}, .....
So, missing term = 4^{3} = 64.
Directions to Solve:
Choose the correct alternative that will continue the same pattern and replace the question mark in the given series.
Question: 1, 2, 3, 6, 9, 18, ?, 54
1st term = 1
2nd term = 1 * 2 = 2
3rd term = 2 * 3/2 = 3
4th term = 3 * 2 = 6
5th term = 6 * 3/2 = 9
6th term = 9 * 2 =18
7th term = ?
8th term = 54
⇒ For every even position term, the previous term is multiplied by 2 and for the odd positioned term, the previous term is multiplied by 3/2
So, missing term = 18 x 3/2 = 27.
Directions to Solve:
Choose the correct alternative that will continue the same pattern and replace the question mark in the given series.
Question: 6, 13, 25, 51, 101, ?
1st term = 6
2nd term = (6 * 2) + 1 = 13
3rd term = (13 * 2) 1 = 25
4th term = (25 * 2) +1 = 51
5th term = (51 * 2)  1 = 101
6th term = ?
⇒ For every even position term, the previous term is multiplied by 2 and then 1 is added and for the odd positioned term, the previous term is multiplied by 2 and 1 is substracted
So, missing term = (101 * 2) + 1 = 203.
Directions to Solve:
Choose the correct alternative that will continue the same pattern and replace the question mark in the given series.
Question: 5,6,9, 15, ?, 40
1st term = 5
2nd term = 5 + 1 = 6
3rd term = 6 + 3 = 6 + (1 + 2) = 9
4th term = 9 + 6 = 9 + (1 + 2 + 3) = 15
5th term = x
6th term = 40
⇒ For every term previous term is added with sumation of it previous position i.e. next term = previous term + ∑ (position 1)
So, missing term = 15 + (1 + 2 + 3 + 4) = 25
Directions to Solve:
Choose the correct alternative that will continue the same pattern and replace the question mark in the given series.
Question: 1, 3, 4, 8, 15, 27, ?
The sum of any three consecutive terms of the series gives the next term i.e.
► 1 + 3 + 4 = 8
► 3 + 4 + 8 = 15
► 4 + 8 + 15 = 27
∴ Missing number = 8 + 15 + 27 = 50
Directions to Solve:
Choose the correct alternative that will continue the same pattern and replace the question mark in the given series.
Question: 3, 4, 7, 7, 13, 13, 21, 22, 31, 34, ?
The given sequence is a combination of two series:
So, missing term = 31 + 2*6 = 43.
As missing term lies in 1st pattern.
Directions to Solve:
Choose the correct alternative that will continue the same pattern and replace the question mark in the given series.
Question: 198, 194, 185, 169, ?
1st term = 198
2nd term = 198  4 = 198  2^{2} = 194
3rd term = 194  9 = 198  3^{2} = 185
4th term = 185  16 = 185  4^{2} = 169
⇒ For next term, square of its positon is substracted from the previous term
So, missing pattern = 169  5^{2} = 169  25 = 144.
Directions to Solve:
Choose the correct alternative that will continue the same pattern and replace the question mark in the given series.
Question: 2, 3, 5,7,11,?, 17
Clearly, the given series consists of prime numbers starting from 2.
So, the missing term is the prime number after 11, which is 13.
Directions to Solve:
Choose the correct alternative that will continue the same pattern and replace the question mark in the given series.
Question: 6, 12, 21, ?, 48
1st term = 6
2nd term = 6 + 6 = 6 + 2*3 = 12
3rd term = 12 + 9 = 12 + 3*3 = 21
4th term = ?
5th term = 48
⇒ For every next term, thrice its positon is added o the previous term.
So, missing term = 21 + 3*4 = 33.
Directions to Solve:
Choose the correct alternative that will continue the same pattern and replace the question mark in the given series.
Question: Which term of the series 5, 10, 20, 40, ..... is 1280?
1st term = 5 x 2 = 10
2nd term = 10 x 2 = 20
3rd term = 20 x 2 = 40,.....
⇒ Series is a G.P. in which a = 5 and r = 2.
Let 1280 be the n^{th }term of the series.
⇒ 5 x 2^{n1} = 1280
⇒ 2^{n1} = 256 = 2^{8}
⇒ n  1 = 8
⇒ n = 9
Directions to Solve:
Choose the correct alternative that will continue the same pattern and replace the question mark in the given series.
Question: 2, 5, 9, ?, 20, 27
1st term = 2
2nd term = 2 + 3 = 2 + (2+1) = 5
3rd term = 5 + 4 = 5 + (3+1) = 9...
⇒ For next term, its position +1 is added to the previous term
So, missing term = 9 + 5 = 14
Directions to solve:
Choose the correct alternative that will continue the same pattern and replace the question mark in the given series.
Question:
2, 3, 3, 5, 10, 13, ?, 43, 172, 177
1st term = 2
2nd term = 2 + 1 = 3
3rd term = 3 * 1 = 3
4th term = 3 + 2 = 5
5th term = 5 * 2 = 10
6th term = 10 + 3 = 13...
⇒ For every term at even position, previous term is added with half of the position
⇒ For every term at odd position, previous term is multipiled with the same numeber that was added in previous term
So, missing term = 13 x 3 = 39.
Directions to Solve:
Choose the correct alternative that will continue the same pattern and replace the question mark in the given series.
Question: 9, 27, 31, 155, 161, 1127, ?
⇒ For every term at even position, previous term is multiplied with the position+1
⇒ For every term at odd position, previous term is added with the position+1
So, missing term = 1127 + 8 = 1135.
Directions to Solve:
Choose the correct alternative that will continue the same pattern and replace the question mark in the given series.
Question: 2, 1, 2, 4, 4, 5, 6, 7, 8, 8, 10, 11, ?
The given sequence is a combination of three series:
Clearly, I consist of consecutive even numbers. So, the missing term is 10.
Directions to Solve:
Choose the correct alternative that will continue the same pattern and replace the question mark in the given series.
Question: Which of the following will not be a number of the series 1, 8, 27, 64, 125,.....?
Directions to Solve:
Choose the correct alternative that will continue the same pattern and replace the question mark in the given series.
Question: 13, 32, 24, 43, 35, ?, 46, 65, 57, 76
The given sequence is a combination of two series:
In both series are in A.P. with common difference of 11.
So, missing term = 43 + 11 = 54.
Directions to Solve:
Choose the correct alternative that will continue the same pattern and replace the question mark in the given series.
Question 
22, 24, 28, ?, 52, 84
1st term = 22
2nd term = 22 + 2 = 22 + 2^{1 }= 24
3rd term = 24 + 4 = 22 + 2^{2 }= 28
4th term =?
5th term = 52
6th term = 52 + 32 = 52 + 2^{5 }=84
⇒ For next term, preivous term is add with 2 to the power of the position1.
i.e. any term = previous term + 2^{(position  1)}
So, missing term = 28 + 8 = 22 + 2^{3 }= 36
Directions to Solve:
Choose the correct alternative that will continue the same pattern and replace the question mark in the given series.
Question: 3, 15, ?, 63, 99, 143
1st term = (2^{2}  1)
2nd term = (4^{2}  1)
3rd term= ?
4th term = (8^{2}  1)
5th term = (10^{2}  1)
6th term = (12^{2}  1)
⇒ nth term = (n * 2)^{2}  1
So, missing term = (6^{2}  1) = (36  1) = 35
Directions to Solve:
Choose the correct alternative that will continue the same pattern and replace the question mark in the given series.
Question 
90, 180, 12, 50, 100, 200, ?, 3, 50, 4, 25, 2, 6, 30, 3
Clearly the pattern is:
► 90 = 30 x 3,
► 180 = 6 x 30,
► 12 = 2 x 6,
► 50 = 25 x 2,
► 100 = 4 x 25,
► 200 = 50 x 4.
So, missing term = 3 x 50 = 150.
Alternatively,
The pattern is the combination of 2 series:
after reversing 2nd series, i.e. 3, 30, 6, 2, 25, 4, 50, 3
on dividing term of the same position would give next term of reversed series.
i.e.
► 90/3 = 30
► 180/30 = 6
► 12/6 = 2
► 50/2 = 25
► 100/25 = 4
► 200/ 4 =50
► ?/50 = 3
So, missing term = 3 x 50 = 150.
Directions to Solve:
Choose the correct alternative that will continue the same pattern and replace the question mark in the given series.
Question: 48, 24, 96, 48, 192, ?
1st term = 48
2nd term = 48/2 = 24
3rd term = 24 * 4 = 96
4th term = 96/2 = 48
5th term = 48 * 4 = 192...
⇒ For every term at even position, previous term is divided by 2
⇒ For every term at odd position, previous term is multipiled with 4
So, missing term = 192 ÷ 2 = 96.
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