Select the letter-cluster that can replace the question mark (?) in the following series:
TULG, WRPC, ZOTY, CLXU, ?
Let's analyze the given series: - TULG - WRPC - ZOTY - CLXU The positions of the letters in the alphabet are as follows: - TULG: T (20), U (21), L (12), G (7) - WRPC: W (23), R (18), P (16), C (C) - ZOTY: Z (26), O (15), T (20), Y (25) - CLXU: C (C), L (12), X (24), U (21) Now, look at the changes in each position of the letters: - The first letters follow a pattern: T (20), W (23), Z (26), C (C). Adding 3 to each gives us: \( 20 + 3 = 23 \), \( 23 + 3 = 26 \), \( 26 + 3 = 3 \), and so on. Hence, the next letter will be F (6). - The second letters: U (21), R (18), O (15), L (12) follow a pattern of subtracting 3, so the next letter should be I (9). - The third letters: L (12), P (16), T (20), X (24) follow a pattern of adding 4, so the next letter should be J (10). - The fourth letters: G (7), C (C), Y (25), U (21) follow a pattern of subtracting 4, so the next letter should be Q (17).
Therefore, the correct letter-cluster to replace the question mark is FIBQ.
Thus, the correct answer is Option A.
How many triangles are there in the figure given below?
Disregard commonly known facts. Which conclusion would follow on the basis of given statements only?
Statement (I): Some bottles are car. Some cars are cycle.
Conclusion: \[\begin{array}{rl} \bullet & \text{[(I)] Some bottles are cycle is a possibility.} \\ \bullet & \text{[(II)] All bottles are cycle.} \\ \end{array}\]