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(#M40039770) IBM Numerical Ability question Keep an EYE

Three numbers are in A.P., and the product of them is same as product of smallest and largest. What
is the middle number?
a) 1 b) -1 c) 2 d) -2

Asked In IBM Amit Kumar Pal (10 years ago)

Unsolved Read Solution (8)

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Read Solution (8) :

sangita dhal  (10 years ago)

let 3 A.P terms are a,a+d,a+2d
a is the 1st no.
a+d is the middle one and
a+2d is the last no.
According to question a*(a+d)*(a+2d)=a*(a+2d)
=> a+d=1
Therefore middle no.is 1

Is this solution Helpfull? Yes (16) | No   

P.Dimpul  (10 years ago)

let x,y,z are 3 members in ap
they given product of xyz=product of xz
if we subbstitute y=1 in xyz product then we will get it as xz
so y=1

Is this solution Helpfull? Yes (1) | No   

sourav  (10 years ago)

ans = a(1)
since;
the A.P is-> -1,1,3 so the prdct of them is -3 and the prdct of -1 & 3 is -3.
so the middle term is 1.

Is this solution Helpfull? Yes | No (1)  

d.pushpalatha  (10 years ago)

assume a,b,c in a.p then given abc=ac so b=1

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md saddam hossain  (10 years ago)

(a-d)*a*(a+d)=(a-d)*(a+d)
0r,a=1

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chanti  (10 years ago)

let us assume three values which are in a.p
x,x+1,x+2
as given in the question product of these three values=product of small and largest
i.e x*x+1*x+2=x*x+2
x(x^2+3x+2)=x(x+2)
x(x+2)=0;
x=-2 or 0
if u consider 0 the middle value is 1
if u consider -2 the middle value is -1

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Vijaya Lakshmi  (10 years ago)

Middle term is 1
suppose all the 3 terms are a-x, a, a+x
so product of the three = product of smallest and largest
therefore (a-x)*a*(a+x)=(a-x)*(a+x)
therefor a=(a-x)*(a+x)/(a-x)*(a+x) =1

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ssd  (9 years ago)

let the 3 nos in AP be a-d,a,a+d
ATQ
(a-d)(a)(a+d)=(a-d)(a+d)
=> a(a^2-d^2)=a^2-d^2) =>a=1
hence ans is a)1

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