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, ?
The pattern is - 21, - 19, - 17, - 15,.....
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.
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 the series 2, 6, 18, 54, ...... what will be the 8th term ?
Clearly, 2 x 3 = 6, 6 x 3 = 18, 18 x 3 = 54,.....
So, the series is a G.P. in which a = 2, r = 3.
∴ 8th term = ar8-1 = ar7 = 2 x 37 = (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,?
The pattern is - 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. 12, 13, 22, 23, 32, 33, 42, .....
So, missing term = 43 = 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
The pattern is:
x 2 → x 3/2 → x 2 → x 3/2 → x 2....so on.
x ⇒ Sign of multiplication.
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, ?
The pattern is:
(x 2 + 1) → (x 2 - 1) → (x 2 + 1) → (x 2 - 1)...so on.
x ⇒ sign of multiplication.
So, missing term = 101 x 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
The pattern is + 1, + 3, + 6,....., i.e. + 1, + (1 + 2), + (1 + 2 + 3),.....
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.
Thus,
► 1 + 3 + 4 = 8 ;
► 3 + 4 + 8 = 15 ;
► 4 + 8 + 15 = 27 and so on.
∴ 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 :
I. 3, 7, 13, 21, 31, ? and
II. 4, 7, 13, 22, 34
► The pattern in I is + 4, + 6, + 8, + 10,.....
► The pattern in II is + 3, + 6, + 9, + 12,.....
So, missing term = 31 + 12 = 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, ?
The pattern is - 4, - 9, - 16,.....i.e. - 22, - 32, - 42,.....
So, missing pattern = 169 - 52 = 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
The pattern is + 6, + 9, + 12, + 15, .....
So, missing term = 21 + 12 = 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?
Clearly, 5 x 2 = 10, 10 x 2 = 20, 20 x 2 = 40,.....
So, the series is a G.P. in which a = 5 and r = 2.
Let 1280 be the nth term of the series.
Then, 5x2n-1 = 1280 2n-1 = 256 = 28
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
The pattern is + 3, + 4, + 5, + 6,.....
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
The pattern is:
(+ 1) → (x 1) → (+ 2) → (x 2) → (+ 3) → (x 3) → (+ 4) → (x 4) → (+ 5)...so on.
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, ?
The pattern is x 3, + 4, x 5, + 6, x 7,.....
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 correct option is B.
The given sequence is a combination of three series :
I. 1st, 4th, 7th, 10th, 13th terms i.e. 2, 4, 6, 8, ?
II. 2nd, 5th, 8th, 11th terms i.e. 1, 4, 7, 10
III. 3rd, 6th, 9th, 12th terms i.e. 2, 5, 8, 11
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,.....?
The given series consists of cubes of natural numbers only. 256 is not the cube of any natural number.
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:
I. 13, 24, 35, 46, 57 and
II. 32, 43, ?, 65, 76
The pattern in both I and II is + 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
The pattern is + 2, + 4, + 8, + 16,.....
So, missing term = 28 + 8 = 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
The terms of the given series are (22 - 1), (42 - 1),....., (82 - 1), (102 - 1), (122 - 1).
So, missing term = (62 - 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.
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, ?
The pattern is:
(÷ 2) → (x 4) → (÷ 2) → (x 4)..so on
So, missing term = 192 ÷ 2 = 96.
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