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Question Detail
Which number should be replaced with x in following series :
2, 3, 5, 7, 11, x, 17
 12
 13
 14
 15
Answer: Option B
Explanation:
Above series contains prime number series. So after 11, 13 is next prime number.
1. 2,5,9,?,20,27, what will replace the question mark ?
 13
 14
 15
 16
Answer: Option B
Explanation:
Pattern is +3,+4,..,..,+7, so +5 and +6 will be in the blanks
Question mark will be replaced by 9+5 = 14
2. Complete the series 2,2,5, 13,28,....
 50
 51
 52
 53
Answer: Option C
Explanation:
\begin{aligned}
\text{Pattern is }\\
+1^21, +2^21, +3^21,+4^21 \\
5^21 = 28 + 24 \\
= 52
\end{aligned}
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. 1,2,6,24, ?
 110
 118
 120
 122
Answer: Option C
Explanation:
Pattern is *2, *3, *4
So next number is the series will be *5
24*5 = 120
5. 1,6,15,(...),45,66,91
 26
 28
 29
 34
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
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