NUST NET Quantitative Maths chapter 7: Quantitative · Counting, probability, sequences and sets MCQs with answers
By Team Megalecture · Updated 13 Nov 2026
74 exam-style questions on Quantitative · Counting, probability, sequences and sets, each with the answer and a short explanation. Ten of them are below to try. The chapter test draws ten fresh questions each time and is marked the moment you finish, with your score by topic.
Counting, permutations and combinations18 questions
Probability20 questions
Sequences and series18 questions
Sets and Venn diagrams18 questions
Ten Quantitative · Counting, probability, sequences and sets questions with answers
Try each one, then open the answer. These ten stay the same; the test draws new ones every time.
1. At a shop, 120 of the last 500 customers paid by card. Using this as the probability, how many of tomorrow's 800 customers would you expect to pay by card?
A
96
B
120
C
160
D
192
Show answer
Answer: D. Estimated probability = 120/500 = 0.24, so expected card payments = 0.24 × 800 = 192.
2. What is the 6th term of the geometric sequence 81, 27, 9, …?
A
3
B
1
C
1/3
D
1/9
Show answer
Answer: C. The ratio is 1/3: 81, 27, 9, 3, 1, 1/3. So the 6th term is 1/3.
3. A bag holds 4 red, 5 blue and 3 green marbles. One marble is taken at random. What is the probability that it is blue?
A
1/4
B
1/3
C
5/12
D
5/7
Show answer
Answer: C. There are 4 + 5 + 3 = 12 marbles, 5 of them blue, so P = 5/12. 5/7 compares blue with non-blue instead of with the total.
4. What is the next number in the pattern 2, 5, 10, 17, 26, …?
A
31
B
33
C
35
D
37
Show answer
Answer: D. The gaps are 3, 5, 7, 9, so the next gap is 11 and the next term is 26 + 11 = 37 (each term is n2 + 1).
5. Of 120 customers at a café, 70 bought tea, 50 bought coffee and 30 bought both. How many bought neither?
A
40
B
30
C
10
D
0
Show answer
Answer: B. At least one = 70 + 50 − 30 = 90, so neither = 120 − 90 = 30. Getting 0 adds 70 + 50 without removing the overlap.
6. A biased die shows a six with probability 0.15. It is rolled 200 times. How many sixes would you expect?
A
15
B
30
C
34
D
170
Show answer
Answer: B. Expected frequency = probability × number of trials = 0.15 × 200 = 30. 170 is the expected number of non-sixes.
7. A geometric sequence with a positive common ratio has 2nd term 12 and 4th term 108. What is its first term?
A
36
B
6
C
4
D
3
Show answer
Answer: C. r2 = 108/12 = 9, so r = 3 and the first term is 12/3 = 4. The value 3 is the ratio, not the first term.
8. Of 200 employees, 120 own a car, 90 own a motorbike and 40 own neither. What percentage own both?
A
5%
B
20%
C
25%
D
45%
Show answer
Answer: C. At least one = 200 − 40 = 160, so both = 120 + 90 − 160 = 50, and 50/200 = 25%. 5% forgets the 40 who own neither.
9. A fair coin is tossed 3 times. What is the probability of getting at least one head?
A
3/8
B
1/2
C
3/4
D
7/8
Show answer
Answer: D. P(no heads) = (½)³ = 1/8, so P(at least one head) = 1 − 1/8 = 7/8.
10. A box has 3 red and 2 white balls. Two balls are taken out one after the other without replacement. What is the probability that both are red?
A
3/10
B
9/25
C
2/5
D
3/5
Show answer
Answer: A. P = 3/5 × 2/4 = 6/20 = 3/10. Treating the draws as with replacement gives 3/5 × 3/5 = 9/25.
Chapter test. Ten questions from Quantitative · Counting, probability, sequences and sets, drawn fresh each time, about ten minutes.
Practice mode. The right answer and the explanation after every question, with no clock. Exam mode keeps the marks until the end and runs a timer.
Hints. One tap for a nudge, a second to remove two wrong options.
My mistakes. Every question you get wrong is kept, and leaves the list once you get it right.
Quantitative · Counting, probability, sequences and sets: questions students ask
How many Quantitative · Counting, probability, sequences and sets MCQs are there?
74, each with the answer and a short explanation, across 4 topics: Counting, permutations and combinations, Probability, Sequences and series, Sets and Venn diagrams. Every chapter test draws ten of them, so you can take it many times.
Is the NUST NET Quantitative Maths chapter 7 test free?
Yes. The test, the answers and the explanations are free and need no sign-up. Sign in only if you want your scores kept across devices.
How is the chapter test marked?
The moment you press Finish: your score, the right answer and an explanation for every question, and the ones you got wrong saved in My mistakes to retry.
