Latest IBM Aptitude Question SOLUTION: A student put points P and Q on a line to the right of point X. Three times the distance from point X to point P is four times the distance from point X to point Q. What is the rat

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(#M40005486) IBM Numerical Ability question Ratio and proportion Keep an EYE

A student put points P and Q on a line to the right of point X. Three times the distance from point X to point P is four times the distance from point X to point Q. What is the ratio of PQ:XQ?

Asked In IBM (12 years ago)

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shilpi mathur  (10 years ago)

ans 1:3
as xp/xq = 4/3
so pq/xq = (xp-xq)/xq = (4-3)/3 = 1/3..

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Anil Kumar Bharti  (11 years ago)

Ans: 3:1
Exp:
x p Q
|-------|----------|
||
||
by ques :
PQ:PX = 9X : 3X = 3:1

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Tijo Jose  (12 years ago)

3:1

From given info, it is easy to see that Q is in the middle of P and X.
Let PQ = x and XQ = y.
To find: x/y
Given: 3*(x+y) = 4*(x)
That is (x + y) / x = 4 / 3
Applying dividendo,
y / x = 1 / 3
Or, x / y = 3 / 1
x:y :: 3:1

To those who don't know dividendo, it says that if
a/b = c/d, then
(a-b)/b = (c-d)/d

Similarly, componendo exists (which replaces the + with minus)
Also, componendo-dividendo says that, if a/b = c/d then
(a+b)/(a-b) = (c+d)/(c-d)

Applying these rules, solutions to ratio and proportions can be easily found out.

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