Verbal Reasoning - Mental Ability Questions

O and O' are the center of the two circles with radii 7cm and 9cm respectively. The distance between the centers is 20cm. If PQ be the transverse common tangent to the circles, which cuts OO' at X, what is the length of O'X in cm ?

3, 6, 17.5, 64.75, ?

Hooke is related to cells in the same way as Mulder is related to

If [P @ Q] means [P is wife of Q], [P+Q] means [P is father of Q] and [P - Q] means [P is sister of Q] then in [G+ H - R @ D], how is G related to D ?

Choose the alternative that will continue the same pattern and replace 'x' 33,40,37,44,x

Three of the following four pairs of alphas and numerals have same relationship between their elements as in the case of the pair PROBLEM : 2948375 and hence form a group. Which one does not belong to the group?

Nautilus : Fish :: Teal : ?

If it is possible to make a meaningful word with the second, the seventh, the ninth, the tenth and the thirteenth letters of the word PROCRASTINATED which of the following will be the third letter of that word? If no such word can be formed give 'X' as the answer, if two or three words can be formed give 'Y' as the answer, and if more than three such words can be formed give 'Z' as the answer.