QUESTION: 313

What is the units’ digit of (9)7(17)3(3)3 ?

Answer(s): E

Explanation:

(17)3(3)3 = (17 x 3)3 = (51)3 = 51 x 51 x 51 ---> the units’ digit is just 1 x 1 x 1 = 1. We are left with the units’ digit of 97.
(9)7 = 9 x 81 x 81 x 81 ---> the units’ digit is 9.
And therefore the units’ digit of the entire expression is 9.

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QUESTION: 314

A certain factory produces buttons and buckles at a uniform weight. If the total weight of 2 buttons and 2 buckles is one third of 11 buckles and 3 buttons, then the weight of 3 buttons and 2 buckles is how many times that of 5 buckles and 6 buttons?

7/15.
4/9.
6/11.
5/9.
8/15.

Answer(s): A

Explanation:

Define B as the weight of a button and K as the weight of a buckle.
The total weight of (2B + 2K) is equal to (11K + 3B) ---> 3B = 5K B = 5K/3. The question requires the ratio between (3B + 2K) and (5K + 6B).
The first factor is equal to (5K + 2K = 7K).
The second factor is equal to (5K + 2(5K)) = (15K).
The ratio between them is 7:15 and therefore the first factor is 7/15 of the second one.

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QUESTION: 315

In a recent survey, Q people were asked whether they eat after 22:00 O’clock. 25 percent of the people answered positively and 40 percent of the rest were asked, at what time do they get up in the morning. Which of the following expressions represents the number of people who do not eat after 22:00 and were not asked about the time they get up in the morning?

3Q/20.
Q/10.
5Q/9.
3Q/10.
9Q/20.

Answer(s): E

Explanation:

75Q/100 is the number of people who eat after 22:00. 60% of that number is the number of people who weren’t asked upon, when do they get up at the morning.
60 x (75Q/100) / 100 = 45Q/100 = 9Q/20.

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QUESTION: 316

A and B are integers. The expression (A+1)(B+1) is even. What can be said about A and B?

They are both even numbers.
At least one of them is even.
At least one of them is odd.
They are both odd.
Nothing can be said surly on A and B.

Answer(s): C

Explanation:

Because the given expression is even, at least one of the phrases in one of the parenthesis must be even therefore either A or B must be odd.

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Free GMAT SECTION 2: QUANTITATIVE Exam Braindumps (page: 79)

QUESTION: 313

Explanation:

QUESTION: 314

Explanation:

QUESTION: 315

Explanation:

QUESTION: 316

Explanation: