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Number and Letter Sequences Flashcards

6 cards from real GCAT practice questions. Tap to flip, then mark Knew It or Still Learning — missed cards come back until you master them.

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  1. An automated system generates sequential tracking codes. The first few codes are AZ, CX, EV, ?. What is the next code in this pattern?

    Answer: GT

    The sequence consists of two independent alphabetical patterns. The first letter of each pair moves forward through the alphabet, skipping one letter (A, C, E, G...). The second letter of each pair moves backward through the alphabet, skipping one letter (Z, X, V, T...). Combining the next letter from each pattern results in GT.

  2. Which of the following numbers logically completes the series: 3, 4, 12, 48, ?

    Answer: 576

    The pattern is that each term, starting from the third, is the product of the two preceding terms. For example, 3 × 4 = 12, and 4 × 12 = 48. Therefore, the next term in the sequence is 12 × 48 = 576.

  3. A system for organizing files uses the following alphanumeric sequence: Z1A, Y2B, X3C, ?. What is the next entry in the sequence?

    Answer: W4D

    The sequence follows three distinct patterns. The first letter moves one step backward in the alphabet (Z, Y, X, W...). The number increments by one (1, 2, 3, 4...). The last letter moves one step forward in the alphabet (A, B, C, D...). Therefore, the next entry is W4D.

  4. Find the next letter in the following series: B, C, E, H, L, ?

    Answer: Q

    The pattern is based on the increasing number of positions moved forward in the alphabet. From B to C is a step of 1. From C to E is a step of 2. From E to H is a step of 3. From H to L is a step of 4. Therefore, the next step must be 5. Five letters after L is Q.

  5. A data analyst observes the following sequence in a time-series dataset: 5, 6, 14, 41, 105, ?. Which number should come next?

    Answer: 230

    The pattern is based on adding powers of 3 to the previous number. The differences between the numbers are 1, 8, 27, and 64, which are 1^3, 2^3, 3^3, and 4^3. So, 5 + 1^3 = 6; 6 + 2^3 = 14; 14 + 3^3 = 41; 41 + 4^3 = 105. The next step is to add 5^3 (125). 105 + 125 = 230.

  6. Which of the following correctly completes the sequence: 10, C, 13, G, 16, K, ?

    Answer: 19, O

    The sequence has two interleaved patterns. The numbers increase by 3 each time (10, 13, 16, 19...). The letters move forward by 4 positions in the alphabet each time (C is the 3rd letter, G is the 7th, K is the 11th). The next letter would be the 15th, which is O. Therefore, the next pair is 19, O.