Let’s solve each question one by one with clear explanations.
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1. Which of these numbers is not prime?
Options:
A) 37
B) 17
C) 25
D) 23
✔ Answer: C) 25
Explanation:
A
prime number is a number greater than 1 that has no positive divisors other than 1 and itself.
- 37 → prime (only divisible by 1 and 37)
- 17 → prime
- 23 → prime
- 25 →
not prime, because 25 = 5 × 5 → it has divisors other than 1 and itself → it’s
composite
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2. Name the next 3 prime numbers after 23.
Options:
A) 24, 26, 28
B) 24, 25, 26
C) 29, 31, 37
D) 29, 30, 31
✔ Answer: C) 29, 31, 37
Explanation:
After 23, check each number:
- 24 → even → not prime
- 25 → 5×5 → not prime
- 26 → even → not prime
- 27 → 3×9 → not prime
- 28 → even → not prime
-
29 → prime
-
31 → prime
- 32–36 → all composite
-
37 → prime
So next 3 primes after 23 are
29, 31, 37
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3. Which of the following numbers is not composite?
Options:
A) 61
B) 40
C) 24
D) 66
✔ Answer: A) 61
Explanation:
A
composite number is a positive integer with more than two factors (i.e., not prime and not 1).
- 61 →
prime → only factors: 1 and 61 → so
NOT composite
- 40 → 2×2×2×5 → composite
- 24 → 2×2×2×3 → composite
- 66 → 2×3×11 → composite
So the one that is
not composite is
61
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4. Name the 5th prime number.
Options:
A) 11
B) 5
C) 2
D) 7
✔ Answer: A) 11
Explanation:
List the first few prime numbers:
1st → 2
2nd → 3
3rd → 5
4th → 7
5th → 11
So the 5th prime is
11
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5. How many prime numbers are there between 1 and 100?
Options:
A) 50
B) 100
C) 75
D) 25
✔ Answer: D) 25
Explanation:
There are exactly
25 prime numbers between 1 and 100.
They are:
2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97 →
25 total
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6. Which is the only prime number that is even?
Options:
A) 22
B) 2
C) 14
D) 17
✔ Answer: B) 2
Explanation:
All even numbers > 2 are divisible by 2 → so they have at least 3 factors (1, 2, and themselves) →
composite.
Only
2 is even and prime → because its only factors are 1 and 2.
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7. Number 27 is both ...
*(Note: The question is cut off in your image, but we can infer based on context.)*
Since this is a quiz on
Prime and Composite Numbers, and 27 is clearly
not prime (27 = 3×3×3), it must be
composite.
Also, 27 is
odd and
a perfect cube (3³).
But since the topic is prime/composite, likely the intended answer is:
✔ Composite (and possibly “odd” or “a multiple of 3”)
If you had to choose from options (which aren’t shown), common answers might be:
> “composite and odd”
> or “not prime”
But since the question is incomplete, I’ll say:
Number 27 is both composite and odd.
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##
✔ Final Answers Summary:
1.
C) 25
2.
C) 29, 31, 37
3.
A) 61
4.
A) 11
5.
D) 25
6.
B) 2
7.
Composite and odd *(or as per full question if options were given)*
Let me know if you want the rest of the 15 questions solved too!
Parent Tip: Review the logic above to help your child master the concept of prime and composite numbers homework.