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Question Detail
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}
1. 4, 10, (?), 82, 244, 730
- 26
- 28
- 40
- 48
Answer: Option B
Explanation:
Each number in the series is the preceding number multiplied by 3 and then decreased by 2.
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. 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
4. 5, 6, 7, 8, 10, 11, 14, (...) ?
- 19
- 17
- 16
- 15
Answer: Option D
Explanation:
Please check that given sequence consists of two series
Series 1: 5, 7, 10, 14
Series 2: 6, 8, 11, ...
In series 2 pattern is +2, +3, Next will be +4
So required number in the series will be 11+4 = 15
5. 1,1,3,9,6,36,10,100,(..),225
- 12
- 13
- 14
- 15
Answer: Option D
Explanation:
Given sequence is combination of two series
Series 1 : 1,3,6,10,..
Series 2 : 1,9,36,100,225
In series 1 pattern is +2, +3, +4. So next term will be
10+5 = 15
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