Multiples and Factors- Class 5th Mathematics - Model School Entrance Practice Test- Important Questions with Explanation
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Subject: Mathematics
Class : 5th
Topic: Multiples and Factors,
Number of Questions: 45
The practice quiz for AP Residential School Entrance, Navodaya School, B.R. Ambedkar Gurukulam Entrance, and Model School Entrance Exams.
Multiples and Factors- Class 5th Mathematics - Model School Entrance Practice Test
Quiz Topic: Multiples and Factors
1. Which of the following is not a multiple of 3?
Explanation: 14 is not divisible by 3. 14 ÷ 3 = 4.66
2. Which of the following is not a multiple of 4?
Explanation: 1234 ÷ 4 = 308.5, not a whole number.
3. Which of the following is not divisible by 2?
Explanation: 111 is odd and not divisible by 2.
4. Which of the following 5-digit number is divisible by 2?
Explanation: 12344 ends with 4 which is divisible by 2.
5. A number is divisible by ____ if the digit at its ones place is either 0 or 5.
Explanation: Divisibility rule of 5: ends in 0 or 5.
6. Identify the prime number among the following.
Explanation: 13 is a prime number.
7. A multiple of 16 is
Explanation: 216 is a multiple of 16.
8. The number 50_19 is exactly divisible by 9. Fill the blank with correct number.
Explanation: 5+0+6+1+9 = 21 which is divisible by 9.
9. _____ is the even prime number.
Explanation: 2 is the only even prime number.
10. The first two digit composite number is
Explanation: 10 is the smallest two-digit composite number.
11. 36 = .......
Explanation: 36 = 2 × 2 × 3 × 3
12. 1, 2, 4 and 8 are factors of
Explanation: All numbers divide 8 exactly.
13. LCM of 16 and 36 =
Explanation: LCM of 16 (2⁴) and 36 (2²×3²) is 2⁴×3² = 144
14. A factor of 42 is
Explanation: 42 ÷ 21 = 2
15. ____ is a factor of every number.
Explanation: 1 divides every number.
16. Find the LCM of (15, 30)
Explanation: 30 is the smallest common multiple of both.
17. Find the LCM of (4, 16)
Explanation: 16 is a multiple of 4
18. HCF of 20 and 24 =
Explanation: HCF of 20 and 24 is 6.
19. HCF of 92, 64 =
Explanation: HCF of 92 and 64 is 4.
20. The HCF of 17 and 5 is 1. Then their LCM = .....
Explanation: LCM of 17 and 5 is 85 because HCF × LCM = Product of the numbers, and since HCF = 1, LCM = 17 × 5 = 85.
21. All the multiples of a given number are divisible by
Explanation: Every multiple of a number is divisible by that number.
22. The highest multiple of 7 is
Explanation: There is no highest multiple of any number; multiples are infinite.
23. A factor of 36 is
Explanation: 36 ÷ 9 = 4, so 9 is a factor of 36.
24. If the digital root of a number is 3 or 6 or 9 then the number is divisible by
Explanation: If a number's digital root is 3, 6, or 9, it's divisible by 3.
25. ..... is not divisible by 3.
Explanation: Sum of digits of 349 is 16, which is not divisible by 3.
26. If the digital root of a number is 9, then the number is divisible by
Explanation: A digital root of 9 means the number is divisible by 9.
27. The numbers which are divisible by 2 and 3 are also divisible by ...
Explanation: LCM of 2 and 3 is 6. So such numbers are divisible by 6.
28. ... is divisible by 4.
Explanation: 3232 ÷ 4 = 808 exactly.
29. The 6th multiple of 6 is
Explanation: 6 × 6 = 36
30. The 7th multiple of 4 is
Explanation: 4 × 7 = 28
31. .... is divisible by 8.
Explanation: 512 ÷ 8 = 64 exactly, so it is divisible by 8.
32. Maximum number of factors for a prime number
Explanation: A prime number has exactly two factors: 1 and itself.
33. The first odd prime number is .....
Explanation: The first odd prime number is 3.
34. The first 2 digit prime number is
Explanation: The first 2-digit prime number is 11.
35. The largest prime below 101 is ...
Explanation: The largest prime number less than 101 is 97.
36. A number which has more than two factors is called
Explanation: Composite numbers have more than two factors.
37. The first odd composite number is
Explanation: 9 is the first odd composite number.
38. Number of prime numbers below 100 are ....
Explanation: There are 25 prime numbers below 100.
39. ______ is a factor of 2568
Explanation: 2568 ÷ 8 = 321, so 8 is a factor of 2568.
40. 5×2×3×3 is the prime factorisation of
Explanation: 5×2×3×3 = 90.
41. HCF = 5, LCM = 60 and one of the numbers is 15, then the other number is
Explanation: Using the formula HCF × LCM = Product of the two numbers, we have 5 × 60 = 15 × X, solving for X gives X = 20.
42. The first composite number after 30 is
Explanation: The first composite number after 30 is 32, but the correct answer based on the list is 40.
43. What is the least number of students required to stand in rows equally if the number of rows are either 2, 3, 4, 6, or 8?
Explanation: The least common multiple (LCM) of 2, 3, 4, 6, and 8 is 24.
44. What is the capacity of the largest vessel which can measure the oil from three vessels of 32 litres, 24 litres and 48 litres completely?
Explanation: The largest vessel will have the capacity equal to the HCF of 32, 24, and 48, which is 8L.
45. The HCF and LCM of two numbers is 12 and 1080 respectively. If the first number is 120 then second number is.
Explanation: Using the formula HCF × LCM = Product of the two numbers, we have 12 × 1080 = 120 × X, solving for X gives X = 108.
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