Verbal Reasoning :: Series Completion :: Number Series

• Series Completion - Number Series
• Series Completion - Alphabet Series
• Series Completion - Alpha Numeric Series
• Series Completion - Continuous Pattern Series

Which fraction comes next in the sequence $\frac{1}{2}, \frac{3}{4},\frac{5}{8}, \frac{7}{16}$ ?

Answer:

Explanation:

Clearly, the numerators of the fractions in the given sequence form the series 1, 3, 5, 7,

in which each term is obtained by adding 2 to the previous term.

The denominators of the fractions form the series 2, 4, 8, 16, ie., 2¹, 2², 2³, 2⁴,

So the numerator of the next fraction will be (7+2) = 9 and the denominator will be 2⁵ = 32

Hence the answer is a ie.,  $\frac{9}{32}$

1, 4, 27,16, ?, 36, 343

Answer:

Explanation:

clearly, the,given series consists of cubes of odd numbers and squares of even numbers,

ie., 1³, 2²,3³, 4²,.....

So, missing term = 5³ = 125. Hence, the answer is (a).

4, 8, 28, 80, 244, ?

Answer:

Explanation:

The terms of the given series are: 3¹+ 1,3²-1, 3³+ 1, 3⁴-1, 3⁵+1, .....

So, missing term =3⁶ - 1 = 729 - 1 = 728

Hence the answer is c.

2, 5, 9, 19, 37, ?

Answer:

Explanation:

Clearly, we have : 2 x 2+ 1 =5, 5 x 2 - 1 = 9,

9 x 2 + 1= 19, 19 x 2 -1  =37. .....

So, missing term = 37 x 2 + 1 = 75

Hence, the answer is (a)

1, 6, 15, ?, 45, 66, 91 

Answer:

Explanation:

Clearly, the given sequences follows the pattern: +5, +9, +13, +17, +21, +25, .........

Thus, 1 + 5 = 6, 6 + 9 = 15, .....

So, missing term  = 15+13=28

Hence, the answer is(d) .

• Series Completion - Number Series
• Series Completion - Alphabet Series
• Series Completion - Alpha Numeric Series
• Series Completion - Continuous Pattern Series