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22 Sep 2022, 00:51
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A
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
35%
(medium)
Question Stats:
66% (01:17) correct
34%
(01:07)
wrong
based on 76
sessions
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Not Attempted Yet
Is the prime number x equal to 7 ?
(1) 343 is a multiple of x.
(2) 350 is a multiple of x.
(1) 343 is a multiple of x.
(2) 350 is a multiple of x.
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Archit3110
22 Sep 2022, 02:41
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#1
343 is a multiple of x.
7^3 ; 343 sufficient
#2
350 is a multiple of x
prime factors ; 2,5,7
insufficient
option A
343 is a multiple of x.
7^3 ; 343 sufficient
#2
350 is a multiple of x
prime factors ; 2,5,7
insufficient
option A
carcass
23 Sep 2022, 00:10
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carcass
Solution:
Pre-Analysis:
- x is a prime number
- We are asked if x = 7 or not
- This is a Yes-No question
Statement 1: 343 is a multiple of x
- We know \(343=7^3=7\times 7\times 7\)
- This means 343 is a multiple of 1, 7, 49, and 343 itself
- Out of these only 7 is prime. This means the value of x = 7
- Thus, statement 1 alone is sufficient and we can eliminate options B, C and E
Statement 2: 350 is a multiple of x
- We know \(350=2\times 5^2\times 7\)
- This means 350 is a multiple of 1, 2, 5, 7, 25, 350 and others
- Out of these 2, 5 and 7 are prime. This means the value of x can be 2, 5 or 7
- Thus, statement 2 alone is not sufficient
Hence the right answer is Option A
