Number Series Completion - General Inteligence & Reasoning MCQ Questions and Answers

The given sequence is a combination of three series:
I. 0, 3, 6
II. 4, 7, ?
III. 6, 9, 12
The pattern in each of these series is + 3
So, missing term = 7 + 3 = 10

Clearly, 3 + 6 = 9, 9 + 6 = 15,.............
So, the series is an A.P in which a = 3 and d = 6
∴21st term = a + (21 - 1)d = a + 20d
= 3 +20 × 6 = 123.

Clearly, the numerators of the given fractions are consecutive natural numbers. So, the numerator of the missing fraction should be 6. Also, the denominator of each fraction is multiplied by √5 to obtain the denominator of the next fraction. So. the denominator of the missing fraction should be 25√5. Hence,the missing term is ⁶/_25√5

Clearly, 2 × 3 = 6, 6 × 3 = 18, 18 × 3 = 54,..............
S, the series is a G.P. in which a = 2, r = 3
∴8th term = ar^{(8 - 1)}= ar⁷ = 2 × 3⁷ = (2 × 2187) = 4374

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. consists of consecutive even numbers. So, the missing term is 10.

The given sequence is ¹⁰⁰/₉ , ²⁵/₂ , ¹⁰⁰/₇ , ⁵⁰/₃, ............i.e., ¹⁰⁰/₉, ¹⁰⁰/₈, ¹⁰⁰/₇, ¹⁰⁰/₆.................
So, missing term = ¹⁰⁰/₅ = 20

The given sequence is a combination of three series:
I. 1st, 4th, 7th, 10th, terms i.e., 8, 7, 6, ?
II. 2nd, 5th, 8th, 11th terms i.e.,9, 10, 11, 12
III. 3rd, 6th, 9th, terms i.e., 8, 9, 10
The pattern in I. is - 1 So, the missing term is = 6 - 1 = 5

Clearly, 5 + 3 = 8, 8 + 3 = 11, 11 + 3 = 14,................
So, the series in an A.P. in which a = 5 and d = 3
Let 320 be the nth term of the series.
Then, 320 = 5 + (n - 1) × 3 or (n - 1) = 105 or n = 106

The given series consists of squares of consecutive odd numbers i.e., 1² , 3² , 5² , 7²,..........
So. missing term = 9² = 81

The pattern is × ³/₂.
So, missing number = 13¹/₂ × ³/₂ = ²⁷/₂ × ³/₂ = ⁸¹/₄ = 20¹/₄.