KPMG Past Questions And Answers


6)

Maria is 6 times as old as Tina. In 20 years, Maria will be only twice as old as Tina. How old is Maria now?

Let x be Maria’s and Tina’s ages, since Maria was 6 times as old as Tina, then: 6x = x. 20 years from now Maria will be 6x + 20 twice of that of Tina’s x + 20. Then: 6x + 20 = 2(x + 20)   ⇒6x + 20 = 2x + 40   ⇒ (collect like terms): 4x = 20  ⇒ x = 5.
Therefore, since x = 5 and Maria age is 6x, then: 6 × 5 = 30.
The answer is (30).
7)

If a secretary types 60 words per minute, how many minute will he take to type 330 words?

Since the secretary types 60 words per minute:

60 words = 1 minute
Then: 330words =?

Then the secretary will be able to type: = .330 words x 1minute / 60 words= 11/2 minutes
The answer is 11/2
8)

If Scott can mow  2/5 of a lawn each hour, how many lawns can he mow in h hours?

Solution
Since a specific hour was not given on how he mows the lawn, let use 42hours
since there are 24 hours in a day, it will give:  2/5 of 24 = .48/5 Now for h hours he will
mow the lawn for: 2/5 of h = 2h/5 (note of means multiplication). The answer is (A).
9)

If it is now June, what month will it be 100 months from now?

Since 100 = 12 × 8 + 4, 100 month is 4 month more than 8 years. Therefore, 8 years from now it will again be June, and 4 month later it will be October. The answer is (D).
10)

In a group of 100 students, more students are on a team than are members of a club. If 70 are in clubs and 20 are neither on a team nor in a club, what is the minimum number of student who could be both on a team and in a club?

Solution
Draw a Venn diagram letting x be the number of student both on a team and in a club. Since more student are on a team than in a club, 10 + x > 70 ⇒ x > 60. Since x must be an integer, the minimum it can be is 61. The answer is (61).

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