KPMG Past Questions And Answers


76)

A jar contains 10 red marbles and 30 green ones. How many red marble must be added to the jar so that 60% of the marble will be red?

An office building houses seven companies, known as C, D, E, F, G, H and K. Each floor of the building has space for exactly one company, and the building has a total of exactly seven floors, numbered from 1 (lowest) to 7(highest).
Company G is three floors above company D.
Company F is one floor below company K.
Company E is above company C.


77)

If company F is two floors above company H, how many possible different arrangement of companies in the building are possible?

The condition stated gives us two sequences that must exist in the building (from highest to lowest); G- -D, and K, F-H. These two sequences must interlock in one of the two ways. They could interlock to form a sequence of five floors, as follows (highest to lowest); G, K, F, D, H, Or they could interlock to form a sequence of six floors: K, F, G, H, -, D.
Given the first of the possibilities, there are three various possible (once the remaining companies, E and C, have been plugged in): E, C, G, K, F, D, H, E, G, K, F, D, H, C; and G, K, F, H, E, C, Given the second possibility, there are two ways E and C could be plugged in: E, K, F, G, H, C, D; and K, F, G, H, E, D, C. thus , there are five possibilities altogether.
The correct answer is (C).
78)

If company D is one floor above company K, company H could be n any of the
following floors EXCEPT the
 

The condition stated puts companies, D, K and F on three floors together (highest to lowest) since G must be three floor above D, we have this sequence of six floors (highest to lowest): G, E, H, D, K, F. Now, G could be on either the seventh floor or the sixth floor. Depending on these two choices, there are several possible locations for the remaining companies C, E and H. Only the third floor is impossible (of the five answer choices): It must be occupied either by D or by K.
The correct answer is (B).
79)

If company H is on the seventh floor and company C is on the fifth floor, which of the following must be true?

If H is on the seventh floor and C is on the fifth floor, G must be on the fourth floor and D must be on the first floor (the only way they can be three floors apart). The other companies also fall inexorably into place, like this (from highest to lowest).: H, E, C, G, K, F, D.
The correct answer is (B).
80)

Which of the following is a possible arrangement of companies in the building, from the seventh floor to the first?

Choices (B) and (E) both violate the rule that G must be three floor above D. Choice (C) illegally puts F above K. And choice (A) illegally puts C above E.
The correct answer is (D).

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