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Re: In a sequence of numbers, if the first number is a positive integer an [#permalink]
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Kudos
Statement 1:
1st no is a positive integer.
Case 1: A1=1,A2=2,A3=3,A4=5, A5=7
A1+A2=A3 => 1+2=3 (sufficient)

Case 2: A1=2,A2=3,A3=5,A4=7, A5=11
A1+A2=A3 => 2+3=5 (sufficient)

But Statement 1 have two solution. Whose 5th term differs. So Statement 1 is not sufficient.

Statement 2: A3+A4=8
Case 1: A1=1,A2=2,A3=3,A4=5, A5=7
A3+A4=8 => 3+5=8 (sufficient)

Case 2: A1=2,A2=3,A3=5,A4=7, A5=11
A3+A4=8 => 5+7=12 (insufficient)

Only 1 answer is there in statement 2.

Answer is B

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Re: In a sequence of numbers, if the first number is a positive integer an [#permalink]
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sampad
The wordings are confusing here. As per the question stem, it is written that In a sequence of numbers, if the first number is a positive integer and if each number thereafter is the least prime number greater than the preceding number.

from this we can infer that each number is greater than its preceding number by 2, as 2 is the least prime number.

Agreed, wording, threw me off as well.
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In a sequence of numbers, if the first number is a positive integer an [#permalink]
Bunuel
In a sequence of numbers, if the first number is a positive integer and if each number thereafter is the least prime number greater than the preceding number, what is the value of the fifth number in the sequence?

(1) The sum of the first two numbers in the sequence is equal to the third number in the sequence.
(2) The sum of the third and fourth numbers in the sequence is 8.


DS20395

(1) If the first two numbers in the sequence is equal to the third number:

\(2, 3, 5, 7, 11 \)
or
\(1, 2, 3, 5, 7\)

The fifth number could be 7 or 11. INSUFFICIENT.

(2) If the sum of the 3rd and 4th number is 8, we have:

\(1, 2, 3, 5, 7\)

The fifth number is 7. SUFFICIENT.

Answer is B.
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Re: In a sequence of numbers, if the first number is a positive integer an [#permalink]
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Bunuel
In a sequence of numbers, if the first number is a positive integer and if each number thereafter is the least prime number greater than the preceding number, what is the value of the fifth number in the sequence?

(1) The sum of the first two numbers in the sequence is equal to the third number in the sequence.
(2) The sum of the third and fourth numbers in the sequence is 8.


DS20395


So first number is a positive integer, and numbers thereafter are primes. So we can say for sure that all numbers after 2nd number will be odd for sure.=> 1,2,3,5,...
Although it is possible that all are odd. => 9,11,13,17...
We are looking for 5th number => If we know any number in the sequence we can find the answer

(1) The sum of the first two numbers in the sequence is equal to the third number in the sequence.
The third number will always be Odd, so the sum of first and second number is ODD => Means one of the two is odd and other even.
There can be many possibilities of this scenario.
1,2,3,5,7...
2,3,5,7,11...
4,7,11,13,17...
4,13,17,19,23...

(2) The sum of the third and fourth numbers in the sequence is 8.
Since the sum is even, both the numbers are odd and prime ofcourse.
In how many ways can we split 8 into TWO primes.
Only one 8=3+5
So the fifth number will be the next prime after 5, that is 7.
Not important but the sequence here will be 1,2,3,5,7,11...
Suff

B
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Re: In a sequence of numbers, if the first number is a positive integer an [#permalink]
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Re: In a sequence of numbers, if the first number is a positive integer an [#permalink]
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