Question

Which of the given options will complete the given pattern?

2Z5, 7Y7, 14X9, 23W11, 34V13, ?

• A. 27U24
• B. 45U15
• C. 47U15
• D. 47V14

Answer 1

The correct option is C 47U15

Answer: Option D

Explanation:
Let us consider the numbers on the left of the letter.
2, 7, 14, 23, 34, ?
7 - 2 = 5
14 - 7 = 7
23 - 14 = 9
34 - 23 = 11
Each time the difference increases by 2.
So, the difference between the next term and 34 will be 11 + 2 = 13
34 + 13 = 47

Let us consider the letters now.
Z, Y, X, W, V, ?
The pattern in the letter sequence is in decreasing order.
So, the next letter will be U.

According to the options,
Only option D has 47 and U at the first and the second place.

Thus, the next term in the pattern in 47U15

\( 2 \stackrel{+5}{\longrightarrow} 7 \stackrel{+7}{\longrightarrow} 14 \stackrel{+9}{\longrightarrow} 23 \stackrel{+11}{\longrightarrow} 34 \stackrel{+13}{\longrightarrow} \) Y \( \stackrel{-1}{\longrightarrow} \times \stackrel{-1}{\longrightarrow} \) W \( \stackrel{-1}{\longrightarrow} V \stackrel{-1}{\longrightarrow} \) U \( 5 \stackrel{+2}{\longrightarrow} 7 \stackrel{+2}{\longrightarrow} 9 \stackrel{+2}{\longrightarrow} 11 \stackrel{+2}{\longrightarrow} 13 \stackrel{+2}{\longrightarrow} 15 \)