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GMAT Sample Questions » GMAT Sample Problem Soving Ability

# Quantitative Section : GMAT Sample Problem Solving Ability

Select the correct answer from the given five options by solving the following questions.

1. What percentage of 750 is equal to 225?

1. 10%
2. 20%
3. 30%
4. 40%
5. None of the above

Explanation:

According to the data given in the question,

Exact number is 750.

Say 'x%' of 750 is 225.

We have to find the value of 'x'.

Now, 750 * x/100 = 225

∴ x = 225 * 100 / 750

∴ x = 30

Hence, the correct answer is option c.

2. Find out the result when you have to divide the integer 150 in the ratio 2:3:5.

1.  100:25:25
2. 1:75:75
3. 50:50:50
4. 30:45:75
5. None of the above

Explanation:

According to the data given in the question,

The given ratio = 2:3:5

Sum of the ratio = 2+3+5 = 10

Then, first part of the ratio = (2/10) * 150 = 150/5 = 30

Second part of the ratio = (3/10) * 150 = 450/10 = 45

Similarly, the third part of the ratio = (5/10) * 150 = 150/2 = 75

Hence, the correct answer is option d.

3. Divide the integer 90 into two parts such that the second part is bigger than the first part by a value of 4. And the first part is equal to 7.

1. 1:90
2. 45:46
3. 7:11
4. 35:55
5. None of the above

Explanation:

According to the data given in the question,

First part of the ratio = 7

Second part of the ratio is greater than the first part of the ratio by a value of 4.

Thus, second part of the ratio = 7+4 = 11.

Thus, we can write the ratio as 7:11

∴ Ratio of divisions = 7:11

And Sum of the ratios = 7 + 11 = 18

∴ We can calculate the first part as, 90*7/18= 630/18 = 35

Similarly, we can calculate the second part as, 90*11/18 = 990/18 = 55.

Hence, the correct answer is option d.

4. The sum of the salaries of Tim, Tom and Max is equal to \$7500. Tim receives 2/5of the total sum of the salaries, whereas Tom and Max receive 1/5 and 2/5 of the total sum of the salaries. Find out the salary of all of them.

1. Tim = \$1500, Tom = \$3000, Max = \$3000
2. Tim = \$3000, Tom = \$1500, Max = \$3000
3. Tim = \$1500, Tom = \$300, Max = \$3000
4. Tim = \$150, Tom = \$3000, Max = \$300
5. None of the above

Explanation:

According to the data given in the question,

The sum of the salaries of Tim, Tom and Max = \$7500 .....(i)

Tim receives 2/5 of the total sum of the salaries ......(ii)

∴ (2/5)*(7500) = 2*7500/5 = \$3000

∴ Tim receives a salary of \$3000.

Tom receives 1/5 of the total sum of the salaries ………………….(iii)

∴ (1/5)*(7500) = 7500/5 = \$1500

∴ Tom receives a salary of \$1500.

Max receive 2/5 of the total sum of the salaries ………………..(iv)

∴ (2/5)*(7500) = \$3000

∴ Max receives a salary of \$3000.

Hence, the correct answer is option b.

5. Divide the amount \$650 among X, Y and Z such that X receives 1/3 of the amount what Y receives and Y receives 2/3 of the amount what Z receives. Calculate the amount received by X, Y and Z respectively.

1. \$108.33, \$216.66, \$325
2. \$120, \$240, \$290
3. \$100, \$200, \$350
4. \$150, \$150, \$350
5. None of the above

Explanation:

According to the data given in the question,

Total amount = \$650 …………………..i

Amount received by X = 1/3 of the amount received by Y ………….ii

Amount received by Y = 2/3 of the amount received by Z ………iii

We have to find the actual amount received by X, Y as well as Z.

Say the amount received by Z = 1.

∴ Amount received by Y = 2/3 * 1 = 2/3

And, from equation ii, we can say that,

Amount received by X = 1/3 (2/3) = 2/6.

∴ Ratios of the amount received by X, Y and Z respectively = 2/6:2/3:1 = 2:4:6

And, sum of the ratios = 2+4+6 = 12

∴ Amount received by X = (2/12) * 650 = 650/6 = \$108.33 ………………iv

Amount received by Y = (4/12) * 650 = 650/3 = \$216.66 ………..v

Amount received by Z = 6/12 * 650 = 650/2 = \$325 ……………vi

Hence, the correct answer is option a.

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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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