Free Sequences and Series MCQs with Answers
163 Sequences and Series MCQs from Mathematics, each with the correct answer and a written explanation of why it is correct. Free and unlimited, with no account needed.
Sequences describe ordered terms formed by a pattern, while series represent the sum of those terms. Questions cover arithmetic and geometric sequences, their nth terms, common difference or ratio, finite sums, and applications, with the sequence itself kept distinct from the corresponding series.
Last updated
163 questions · page 2 of 9
- A. 9!/(2!)2 3!
- B. 9!/(2!)3 3!
- C. 9!/(2!)2 (3!)2
- D. 5!/(2!)2 3!
Explanation: MESMERISE has 9 letters, with E repeated 3 times, M repeated 2 times and S repeated 2 times.
Correct answer: 9!/(2!)2 3!- A. 720
- B. 144
- C. 120
- D. 36
Explanation: MEADOWS has 3 vowels, E, A and O, and 4 consonants. Placing the vowels in the even positions 2, 4 and 6 gives 3!
Correct answer: 144- A. 3
- B. 6
- C. 24
- D. 120
Explanation: Fix N in the first position and A in the last position. The remaining letters O, K and I can be arranged in the three middle positions in…
Correct answer: 6- A. 8
- B. 8!
- C. 7!
- D. 7
Explanation: THURSDAY contains 8 distinct letters, so all of them can be arranged in 8! = 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 ways.
Correct answer: 8!- A. 12
- B. 20
- C. 16
- D. 24
Explanation: TIME has 4 distinct letters, and forming a three-letter word without repetition gives 4P3 = 4 x 3 x 2 = 24 words.
Correct answer: 24- A. 870
- B. 435
- C. 30!
- D. 29! + 1Islamic Studies Quiz
Explanation: A handshake is determined by choosing 2 people from 30, so the count is 30 x 29 / 2 = 435; division by 2 avoids counting each pair twice.
Correct answer: 435- A. 120
- B. 720
- C. 4320
- D. 2160
Explanation: Treat the three vowels O, I and A as one block, giving 5 objects to arrange, which can be done in 5! ways.
Correct answer: 720- A. 40
- B. 400
- C. 5040
- D. 2520
Explanation: LOGARITHMS contains 10 distinct letters, and four positions can be filled without repetition in 10 x 9 x 8 x 7 = 5040 ways.
Correct answer: 5040- A. 63
- B. 90
- C. 126
- D. 45
Explanation: Choose 5 of the 7 men in 7C5 = 21 ways and 2 of the 3 women in 3C2 = 3 ways.
Correct answer: 63- A. 9
- B. 12
- C. 14
- D. 18
Explanation: There are 4! = 24 total arrangements. If A and B are together, treat them as one block, giving 3! x 2!
Correct answer: 12- A. One
- B. Zero
- C. Three
- D. Cannot be determined
Explanation: Picking one host from 12 people each month does not guarantee a fixed number of selections for any particular member, because the lots are…
Correct answer: Cannot be determined- A. 11
- B. 30
- C. 14
- D. 20
Explanation: Without the restriction, choose 1 male from 5 and 1 female from 3, giving 5 x 3 = 15 committees.
Correct answer: 14- A. 4
- B. 12
- C. 18
- D. None of these
Explanation: The principal must be chosen from the 2 eligible candidates, giving 2 choices.
Correct answer: None of these- A. 5
- B. 6
- C. 7
- D. 18
Explanation: There are 5C2 = 10 unrestricted pairs of subjects. The three invalid pairs are Mathematics 2 with commerce, economics or statistics…
Correct answer: 7- A. 36
- B. 81
- C. 91
- D. 116
Explanation: There are 6 x 6 x 6 = 216 outcomes for three dice. Outcomes with no 2 have 5 choices for each die, giving 5 x 5 x 5 = 125, so outcomes…
Correct answer: 91- A. 19
- B. 120
- C. 624
- D. 1024
Explanation: Each of the 4 questions has 5 choices, so there are 5 x 5 x 5 x 5 = 625 answer patterns.
Correct answer: 624- A. 120
- B. 240
- C. 360
- D. 480
Explanation: The six players can be arranged in 6! = 720 ways. Arrangements with Asim and Raheem together treat them as one block, giving 5! x 2!
Correct answer: 480- A. 5
- B. 6
- C. 7
- D. 8
Explanation: There are 5C3 = 10 groups of 3 boys. Groups containing both C and D are formed by choosing the third boy from A, B or E, so there are 3…
Correct answer: 7- A. 20
- B. 40
- C. 512
- D. 1024
Explanation: Each of the 10 questions has 2 possible answers, true or false, so the multiplication principle gives 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x…
Correct answer: 1024- A. 29
- B. 32
- C. 55
- D. 30
Explanation: Lines joining one point from each parallel line give 6 x 5 = 30 lines. The two original parallel lines add 2 more, so the total is 30 + 2…
Correct answer: 32