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Kaushik786
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Is the product of the range and median of the set of 10 13 Mar 2021, 22:24
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70% (01:34) correct 30% (02:00) wrong based on 152 sessions

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Is the product of the range and median of the set of 10 distinct prime numbers even ?

1. Each element of the set is greater than 9.
2. The highest integer of the set is less than 100.
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Is the product of the range and median of the set of 10 14 Mar 2021, 02:52
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Kaushik786
Is the product of the range and median of the set of 10 distinct prime numbers even ?

1. Each element of the set is greater than 9.
2. The highest integer of the set is less than 100.
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Hi Kaushik786

Please clarify the official answer.

I think, Statement B is also sufficient.

Median of 10 distinct prime numbers is always even
Range may be even or odd (subject to 2 is there or not)

Product of even and even or odd = even

chetan2u
Please help if any correction is required.
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Is the product of the range and median of the set of 10 14 Mar 2021, 03:09
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ramlala
Kaushik786
Is the product of the range and median of the set of 10 distinct prime numbers even ?

1. Each element of the set is greater than 9.
2. The highest integer of the set is less than 100.
Hi Kaushik786

Please clarify the official answer.

I think, Statement B is also sufficient.

Median of 10 distinct prime numbers is always even
Range may be even or odd (subject to 2 is there or not)

Product of even and even or odd = even

chetan2u
Please help if any correction is required.
Show more

Median of 10 distinct prime numbers isn't always even.
For example median value of 37 and 41 will be 39, which is odd number.
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Is the product of the range and median of the set of 10 14 Mar 2021, 03:49
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Kaushik786
Is the product of the range and median of the set of 10 distinct prime numbers even ?

1. Each element of the set is greater than 9.
2. The highest integer of the set is less than 100.
Show more


So we are dealing with 10 distinct prime numbers.
For a product to be even, at least one of them should be even.
Range: Difference between the largest and the smallest number in the set. If it contains 2, the range will be odd, otherwise no.
Median: The Center value of the middle two values. If the middle two numbers are consecutive primes, then we have median as prime, for example (11,13) ; (29,31).
But if the difference between the two middle terms is 4, then median is even. For example (37,41) or (79,83)

1. Each element of the set is greater than 9.
Prime number 2 is not in the set, so all odd primes are there. Difference between two odds is even.
So product is even.
Sufficient

2. The highest integer of the set is less than 100.
We can have different options.
2,3,5,7,11,13,17,19,23,29.....range=27 and median =12...product =even
2,3,11,13,17,19,23,29,31.....range=29 and median =15....product =odd
Insufficient

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Is the product of the range and median of the set of 10 29 Oct 2025, 12:25
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