Question Detail

Complete the series, 1, 4, 9, 16, 25,....

Answer: Option A

Explanation:

Series Pattern is +3, +5, +7, +9.

So next number = 25+11 = 36

1. 2,15,41,80, ? . Complete the series.

Answer: Option B

Explanation:

Pattern is +13,+(13*2), +(13*3)
Next will be +(13*4) = 80+52 = 132

2. Complete the series 95, 115.5, 138, ..., 189

160.5
162.5
164.5
166.5

Answer: Option B

Explanation:

Pattern in the series is, +20.5 , +22.5,
Next will be +24.5
138 + 24.5 = 162.5

3. Which fraction will come next, \begin{aligned} \frac{1}{2}, \frac{3}{4}, \frac{5}{8}, \frac{7}{16}, ? \end{aligned}

\begin{aligned} \frac{11}{32} \end{aligned}
\begin{aligned} \frac{9}{28} \end{aligned}
\begin{aligned} \frac{9}{30} \end{aligned}
\begin{aligned} \frac{9}{32} \end{aligned}

Answer: Option D

Explanation:

Numerators of the fractions in the given sequence are getting increased by 2, i.e. 1+2,3+2,5+2, so next will be 7+2 = 9

Denominators of the fractions in the series is getting doubled, 2*2 = 4, 4*2 = 8, 8*2 = 16, no next will be 16*2 = 32

So resulting fraction will be
\begin{aligned}
\frac{9}{32}
\end{aligned}

4. 1,9,17,33,49,73, ?

Answer: Option C

Explanation:

Pattern for the given series is, +8, +8, +16, +16, +24

So next will be +24, 73+24 = 97

5. 1,6,15,(...),45,66,91

Answer: Option B

Explanation:

Pattern in the series is, +5, +9, .., .., +21, +25
So 4 is getting increased at every term addition.
Missing term in the series will be 15+(9+4)
= 15+13 = 28