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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. Complete the series, 1, 4, 9, 16, 25,....
- 36
- 38
- 49
- 52
Answer: Option A
Explanation:
Series Pattern is +3, +5, +7, +9.
So next number = 25+11 = 36
2. 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
3. 13, 35, 57, 79, 911, ?
- 1005
- 1110
- 1113
- 1140
Answer: Option C
Explanation:
The terms of the given series are numbers formed by joining together consecutive odd numbers in order i.e. 1 and 3, 3 and 5, 5 and 7, 7 and 9, 9 and 11, .....
So, missing term = number formed by joining 11 and 13 = 1113.
4. Look at this series: 22, 21, 23, 22, 24, 23, ... What number should come next?
- 25
- 26
- 27
- 28
Answer: Option A
Explanation:
Please look carefully at the series, its pattern is,
-1, +2, -1, +2, -1, so next will be +2
23+2 = 25
5. 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}
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