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25 Nov 2022, 11:07
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B
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Difficulty:
75%
(hard)
Question Stats:
45% (02:27) correct
55%
(02:12)
wrong
based on 42
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If x is a non-zero integer, is x prime?
(1) The number x is at a distance less than 2 units from the number 1.5 on the number line.
(2) The sum and product of roots of a quadratic equation ax^2+bx+c are 5 and 6 respectively.
(1) The number x is at a distance less than 2 units from the number 1.5 on the number line.
(2) The sum and product of roots of a quadratic equation ax^2+bx+c are 5 and 6 respectively.
25 Nov 2022, 11:30
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Statement I:The number x is at a distance less than 2 units from the number 1.5 on the number line.
-0.5<x<3.5
3 positive integer values lie in this range i.e. 1,2, and 3.
2 & 3 are prime, while 1 is not.
So,we can't be sure whether x is prime.
Statement I alone is not sufficient.
Statement II:The sum and product of roots of a quadratic equation ax^2+bx+c are 5 and 6 respectively.
Sum=5 (2 + 3) and product=6 (2*3)
Roots are 2 & 3.
Both x=2 and x=3 are prime. Statement II alone is sufficient.
Answer is option B IMO
Posted from my mobile device
-0.5<x<3.5
3 positive integer values lie in this range i.e. 1,2, and 3.
2 & 3 are prime, while 1 is not.
So,we can't be sure whether x is prime.
Statement I alone is not sufficient.
Statement II:The sum and product of roots of a quadratic equation ax^2+bx+c are 5 and 6 respectively.
Sum=5 (2 + 3) and product=6 (2*3)
Roots are 2 & 3.
Both x=2 and x=3 are prime. Statement II alone is sufficient.
Answer is option B IMO
Posted from my mobile device
25 Nov 2022, 11:35
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x is an integer and is not 0.
S1) -0.5<x<3.5, x= 1,2,3
2 and 3 are prime but not 1.
S1 is not sufficient
S2) the roots of the equation are 2,3. Hence x=2,3
S2 is sufficient.
Hence, I would go with B.
Posted from my mobile device
S1) -0.5<x<3.5, x= 1,2,3
2 and 3 are prime but not 1.
S1 is not sufficient
S2) the roots of the equation are 2,3. Hence x=2,3
S2 is sufficient.
Hence, I would go with B.
Posted from my mobile device
