Mathematics carries the highest weight in AISSEE — 150 of 300 marks in Class 6 and 200 of 400 marks in Class 9 — and it is also a key section of the RMS CET. Practise these 10 MCQs on Prime and Composite Numbers, then check your answers and step-by-step solutions in the answer key at the end.
Quick facts: AISSEE 2027 will be held on Sunday, 31 January 2027. There is no negative marking, so attempt every question. Online applications are open until 2 December 2026 on exams.nta.nic.in/sainik-school-society.
Practice Questions
Q1. Which of the following is a prime number?
(A) 53
(B) 27
(C) 51
(D) 63
Q2. Which of the following is a composite number?
(A) 47
(B) 59
(C) 97
(D) 77
Q3. How many prime numbers are there from 1 to 30?
(A) 8
(B) 9
(C) 13
(D) 10
Q4. Which of these numbers is divisible by 9?
(A) 4791
(B) 8463
(C) 7884
(D) 7879
Q5. How many factors does 24 have?
(A) 11
(B) 8
(C) 6
(D) 7
Q6. What is the smallest prime number?
(A) 2
(B) 1
(C) 3
(D) 0
Q7. Which of these numbers is divisible by 11?
(A) 7386
(B) 9064
(C) 7162
(D) 1252
Q8. How many factors does 48 have?
(A) 9
(B) 11
(C) 10
(D) 12
Q9. 1 is ________.
(A) neither prime nor composite
(B) a prime number
(C) a composite number
(D) an even number
Q10. How many prime numbers are there from 1 to 20?
(A) 10
(B) 8
(C) 11
(D) 7
Answer Key with Explanations
(A) 53 — 53 has only two factors, 1 and itself; the others can be divided further.
(D) 77 — 77 has more than two factors, so it is composite.
(D) 10 — The primes up to 30 are: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29 — 10 in all.
(C) 7884 — Divisibility rule for 9: sum of digits divisible by 9. 7884 = 9 × 876.
(B) 8 — Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24.
(A) 2 — 2 is the smallest and the only even prime number.
(B) 9064 — Divisibility rule for 11: difference of alternate digit sums divisible by 11. 9064 = 11 × 824.
(C) 10 — Factors of 48: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48.
(A) neither prime nor composite — 1 has only one factor, so it is neither prime nor composite.
(B) 8 — The primes up to 20 are: 2, 3, 5, 7, 11, 13, 17, 19 — 8 in all.
How did you score?
9–10 correct: excellent — move on to a full-length mock test. 6–8: good — revise the explanations of the questions you missed. Below 6: study this topic again from your NCERT book and retry these questions after two days.
Free AISSEE / RMS Mock Test
Want a full-length mock test with an All-India rank? Enunciate Academy runs online coaching for Sainik School, RMS, Navodaya and RIMC entrance exams for Class 6 and 9 students across Andhra Pradesh and Telangana. Message us on WhatsApp (94924 44498) to get a free mock test, or see the Spark batch details.
