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GMAT Sample Questions » GMAT Sample Problem Soving Ability

# Quantitative Section : GMAT Sample Problem Solving Ability

Solve the following questions and select the correct answer from the given five options.

1. If 45x = 1024, then find out the value of 'x' to get this result.

1. 2
2. 3
3. 4
4. 5
5. 1

Explanation:

According to the data given in the question, we know that the result is a multiple of 4. Also, since 4 is raise to power 5 first we will find out the result of 4 raise to the power 5.

Therefore, we get, 45 = 1024 i.e. 4 5*1 = 1024

Hence, the correct answer is option e.

2. In some arithmetic sequence, the sum of the digits of the third term is 27 and the fourth term is 81. What is the fifth term in this arithmetic sequence?

1. 243
2. 81
3. 9
4. 27
5. 3

Explanation:

According to the data given in the question, all the numbers are in arithmetic sequence.

The third term in the sequence is 27 and the fourth term in the sequence is 81.

From this we can say that the numbers are in the sequence of increasing powers of 3, because 3 raise to the power 3 = 27 and 3 raise to the power four is 81.

This means we have to find out the value of 35, which is ultimately the fifth term of the sequence.

∴ 35 = 243.

Hence, the correct answer is option a

3. Andrew purchased 3 science text books and 5 mathematics text books. If the average cost of Andrew's science text books was \$75 and the average cost of his mathematics text books was \$150, then find out the average cost of the total number of books purchased by Andrew.

1. 30.125
2. 25.125
3. 28.125
4. 55.550
5. 75.125

Explanation:

According to the data given in the question, Andrew purchased 3 text books of science and 5 text books of mathematics respectively.

Number of science text books = 3

Average cost of 3 science text books = \$75

∴ Cost of 1 science text book = \$75/3 = \$25

Number of mathematics text books = 5

Average cost of 5 mathematics text books = \$150

∴ Cost of 1 mathematics text book = \$150/5 = \$30

Total number of text books purchased by Andrew = 3 + 5 = 8

∴ Average Cost of all the text books = (\$75 + \$150)/8 = \$28.125

Hence, the correct answer is option c

4. If (a/b) = 0.6789, then find the value of the reciprocal of the same fraction.

1. (b/a)
2. 0.6789
3. -0.6789
4. 1.4729
5. -1.4729

Explanation:

According to the data given in the question the value of (a/b) = 0.6789

We have to find the value of the reciprocal of this fraction which means we have to find the value of (b/a).

∴If (a/b) = 0.6789, then (b/a) = (1/0.6789)

∴ (b/a) = 1.4729

Hence, the correct answer is option d.

5. If 3 - a = 6(1 - a), then find the value of 'a' according to this equation.

1. 1/5
2. 2/5
3. 3/5
4. 4/5
5. None of the above

Explanation:

According to the data given in the question,

3 - a = 6(1 - a)--------i

∴ 3 - a = 6 - 6a

∴ 6a - a = 6 - 3

∴ 5a = 3

∴ a = 3/5

Hence, the correct answer is option c.

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GMAT Sample Problem Solving Ability Question Number : 1-5 | 6-10 | 11-15 | 16-20 | 21-25 | 26-30 | 31-35 | 36-40 | 41-45 | 46-50 | 51-55 | 56-60 | 61-65 | 66-70 | 71-75 | 76-80 | 81-85 | 86-90 | 91-95 | 96-100 | 101-105 | 106-110 | 111-115 | 116-120 | 121-125
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