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Sequence and Series - Free MCQ Practice Test with solutions, CAT Logical


MCQ Practice Test & Solutions: 12 Minute Test: Sequence and Series (8 Questions)

You can prepare effectively for CAT Logical Reasoning (LR) & Data Interpretation (DI) with this dedicated MCQ Practice Test (available with solutions) on the important topic of "12 Minute Test: Sequence and Series". These 8 questions have been designed by the experts with the latest curriculum of CAT 2026, to help you master the concept.

Test Highlights:

  • - Format: Multiple Choice Questions (MCQ)
  • - Duration: 12 minutes
  • - Number of Questions: 8

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12 Minute Test: Sequence and Series - Question 1

3, 9, 24, 57, ?, 267, 552. What number should come? 

Detailed Solution: Question 1

12 Minute Test: Sequence and Series - Question 2

Look at this series: 4, 11, 19, 41, ?, 161...so on. What number should come?

Detailed Solution: Question 2

Pattern:

► 4 × 2 + 3 = 11,
► 11 × 2 – 3 = 19,
► 19 × 2 + 3 = 41,
► 41 × 2 – 3 = 79,
► 79 × 2 + 3 = 161.

12 Minute Test: Sequence and Series - Question 3

BY, CX, EV, GT, KP, ____

Detailed Solution: Question 3

BY, CX, EV, GT, KP, _____

The given series is a mixed series.

  • The letters B, C, E, G, and K are the letters in prime value positions. Hence, the next letter is M.
  • The second letter in each group forms an opposite pair of the first letter in that group. Hence, the next pair in the series is MN.

12 Minute Test: Sequence and Series - Question 4

If the first five letters of the alphabet series in the reverse order, then next six are in reverse order, then next seven letters are in reverse order, then remaining letters are in reverse order.

Q. Which letter is 5th to the left of 12th letter from the right hand side of the alphabet series?

Detailed Solution: Question 4

When the letters are reversed in the group of Five, six, and seven letters.
5th to the left of 12th from the right end (27- 12 = 15th from left) means, 15 – 5 = 10th that lies in the 2ndgroup(6-11).
Therefore, 6 + 11 = 17 – 10 = 7th letter i.e. “G”.

12 Minute Test: Sequence and Series - Question 5

QLR, JPD, RNU, GNC, SPX, DLB, ____

Detailed Solution: Question 5

The alternate groups are in mixed series.
QLR, RNU, SPX are in one series.

  • The Pattern for the first letter:
    Q + 1, R + 1, S + 1, T
  • The Pattern for the second letter:
    L + 2, N + 2, P + 2, R
  • The Pattern for the third letter:
    R + 3, U + 3, X + 3, A

Hence, the next group in the series is TRA.

12 Minute Test: Sequence and Series - Question 6

Directions for questions: Based on the series of numbers given in the question, find the next / missing number in the series.

0, 6, 24, 60, ?

Detailed Solution: Question 6

Pattern  is (13 – 1) ; (23 – 2) ; (33 – 3) and so on.
Hence last term will be (53 – 5) = 120. 

12 Minute Test: Sequence and Series - Question 7

Directions for questions: Based on the series of numbers given in the question, find the next / missing number in the series.

1, 2, 6, 33, 289, ?

Detailed Solution: Question 7

Difference between consecutive terms are 11, 22, 33, 44.
Hence next term will be (289 + 55) = 3414.

12 Minute Test: Sequence and Series - Question 8

Directions for questions: Based on the series of numbers given in the question, find the next / missing number in the series.

0, 7, 26, 63, ?

Detailed Solution: Question 8

The given series follows the pattern (13 – 1); (23 – 1) ; (33 – 1) and so on.
Hence last term will be (53 – 1) = 124.

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