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JMI 6th Entrance Paper 2019 answer key and explanation

Mathematics Section

21. If we divide the sum of 45 and 90 by their difference, the answer is

  • (A) Neither prime nor composite
  • (B) The least prime number
  • (C) The least odd Prime number
  • (D) The least composite number

Answer:

(C) The least odd Prime number

Explanation:

The sum is 45 + 90 = 135. The difference is 90 – 45 = 45. The division is 135 ÷ 45 = 3. The number 3 is the least odd prime number.


22. I am a prime number. If you subtract 1 from me, I will become divisible by 9. Who am I?

  • (A) 29
  • (B) 19
  • (C) 17
  • (D) 11

Answer:

(B) 19

Explanation:

Testing the options: 19 is a prime number, and 19 – 1 = 18, which is divisible by 9.


23. HCF of 90, 96, and 10 is

  • (A) 2
  • (B) 6
  • (C) 10
  • (D) 1

Answer:

(A) 2

Explanation:

The factors of 10 are 1, 2, 5, 10. Both 90 and 96 are divisible by 2. They are not both divisible by 5 or 10. Therefore, the Highest Common Factor (HCF) is 2.


24. Compare 119​ ☐ 52​

  • (A) =
  • (B) >
  • (C) <
  • (D) None of these

Answer:

(B) >

Explanation:

To compare the fractions, convert them to decimals: 119​ is approximately 0.818, and 52​ is 0.4. Since 0.818 is greater than 0.4, 119​ > 52​.


25. The largest prime number between 1 and 100 is

  • (A) 89
  • (B) 97
  • (C) 99
  • (D) 93

Answer:

(B) 97

Explanation:

A prime number is only divisible by 1 and itself. 97 is the largest number less than 100 that fits this description.


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