Quote:
Originally Posted by tg197817
I got these questions while practising some free test.. I am very much doubtful about the official answers, please clarify:
i) If m is positive integer, is M odd?
a) 2(M^3) + 2M is divisible by 8
b) M + 10 divisible by 2
My answer is D, as b) is sufficient and for a) I am not able to find any odd number satisying condition.
But Oa is B, I am not sure about the source
ii) is x greater than 1?
x > x^2
-x < -(x^2)
Bot hoptions looks same so it should be either d or E
but answer is C
iii) if (x^3)y = 24 what is the value of (x^3)(y^3) - (x^2)(y^2)
(x^3)(y^2)=72
(x^2)(y^2) = 36
b) looks sufficient as xy wil be 6 or -6 but since x3y = 24, so xy . x2 = 24 implies, tat xy should be 6 and not -6
a) looks sufficient as y = 3 and x = 2 so xy = 6
so my answer is d) but OA is A
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I agree with all your answers ...maybe just a bad source ...
Problem 1 :
St1 : simplifies to [m(m^2+1)]/4 = I
Now, (m^2+1) is never divisible by 4, hence m is multiple of 4, hence necessarily even, suffiecient
St2 : its obviously suff ..
Ans D
Problem 2 :
St 1 : x>x^2 ==> 0<x<1 ...suff ..
St 2 : sign changes when u multiply by negative no , hence again x>x^2 ...suff
Ans D
Problem 3:
(x^3)y = 24 hence both are -ve or both are +ve, product is necessarily +ve ....we have to find value of ((x^2)(y^2)(xy-1))
St 1 : we have specific values of x and y ...suff
St 2 : we have specific values of both (x^2)(y^2) and (xy-1) ...hence suff ...
Ans D