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JMI 6th Entrance Paper 2019 answer key and explanation

36. The least multiple which is common for both 15 and 25 is

  • (A) 75
  • (B) 25
  • (C) 50
  • (D) 15

Answer:

(A) 75

Explanation:

This question asks for the Least Common Multiple (LCM) of 15 and 25. The multiples of 15 are 15, 30, 45, 60, 75… and the multiples of 25 are 25, 50, 75… The smallest number they have in common is 75.


37. 1x2x3x4x5x6 =

  • (A) 720
  • (B) 21
  • (C) 600
  • (D) 300

Answer:

(A) 720

Explanation:

The product of the first six positive integers (also known as 6 factorial or 6!) is 720.


38. The largest 9 digit number ending with 7 is

  • (A) 77,77,77,777
  • (B) 10,00,00,007
  • (C) 10,00,09,007
  • (D) 10,00,00,907

Answer:

Flawed Question

Explanation:

The actual largest 9-digit number ending with 7 is 999,999,997. This number is not available in the options provided in the source document, which makes the question unanswerable as presented.


39. The digit immediate to the right of ten lakhs shows ______ place.

  • (A) Crore
  • (B) Ten crore
  • (C) Ten thousand
  • (D) Lakh

Answer:

(D) Lakh

Explanation:

In the Indian place value system, the order is Ten Lakhs, then Lakhs, then Ten Thousands. The place immediately to the right of Ten Lakhs is the Lakhs place.


40. 11/35 subtracted from 12/15 is

  • (A) 85​/35
  • (B) 33/35
  • (C) 11​/15
  • (D) 17​/35

Answer:

(D) 17/35

Explanation:

To solve this, we need to calculate 15 12 ​ − 35 11 ​ . Find a common denominator: The least common multiple (LCM) of 15 and 35 is 105. Convert the fractions: 15 12 ​ = 15×7 12×7 ​ = 105 84 ​ 35 11 ​ = 35×3 11×3 ​ = 105 33 ​ Subtract the fractions: 105 84 ​ − 105 33 ​ = 105 84−33 ​ = 105 51 ​ Simplify the result: The greatest common divisor of 51 and 105 is 3. 105÷3 51÷3 ​ = 35 17 ​ The final answer is 17/35, which corresponds to option (D).


41. Mixed fraction for39/12 is

(A) 3 1​/12

(B) 3 2​/12

(C) 3 3/12​

(D) 3 12​/3

Answer:

3 3/12

Explanation:

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42. Co prime numbers are numbers whose common factor is

  • (A) 1
  • (B) 2
  • (C) 0
  • (D) Their product

Answer:

(A) 1

Explanation:

By definition, co-prime numbers (or relatively prime numbers) are numbers whose only common factor is 1.


43. If the SP is less than CP, there is

  • (A) A profit
  • (B) No profit, No loss
  • (C) A gain
  • (D) A loss

Answer:

(D) A loss

Explanation:

When the Selling Price (SP) is less than the Cost Price (CP), the result is a financial loss.


44. Over head charges is added to

  • (A) SP
  • (B) CP
  • (C) Profit
  • (D) Loss

Answer:

(B) CP

Explanation:

Overhead charges are extra expenses that are added to the initial cost price (CP) to determine the total cost of a product.


45. Profit =

  • (A) CP−SP
  • (B) SP−CP
  • (C) CP+SP
  • (D) CPSP​

Answer:

(B) SP−CP

Explanation:

Profit is calculated by subtracting the Cost Price (CP) from the Selling Price (SP).


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