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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. Tim, Tom and Max decide to go out for dinner. Tom had \$ 50 whereas; Tim and Max had \$ 110 and \$ 400 respectively. The bill charged them \$ 113 for their dinner. They paid \$ 120 and the extra \$ 7 was given as a tip to the waiter who served them. They first decide to share the bill equally. But, since Tim had very less money with him he paid only 25 % of the bill whereas; Tom and Max paid 35 % and 40 % of the bill respectively. Calculate the amount of money paid by Tim.

1. \$ 30
2. \$ 42
3. \$ 48
4. \$ 50
5. None of the above

Explanation:

The total bill for the dinner = \$ 113.

They paid \$120 and gave the extra \$7 as tip.

Tim paid 25 % of the bill. ∴ (25 * 120) /100 = \$ 30

Tom paid 35 % of the bill. ∴ (35 * 120) /100 = \$ 42

Tim paid 25 % of the bill. ∴ (40 * 120) /100 = \$ 48

From this we come to know that Tim paid \$ 30 for dinner.

Hence, the correct answer is option a.

2. The measures of the sides of an irregular polygon are given in the figure as follows. Look at the figure and calculate the perimeter of the irregular polygon.

1. 20 m
2. 35 m
3. 30 m
4. 45 m
5. None of the above

Explanation:

Perimeter of an irregular polygon is equal to the sum of all its sides.

According to the data given in the question, the sides measure as 8, 10, 12 and 15

Hence, we can calculate the perimeter of this figure as (8 + 10 + 12 + 15 = 45 m)

Hence, the correct answer is option d.

3. Consider the following figure and find out the ratio between the areas of the largest and the smallest circles. Given that all the circles are drawn considering the same center i.e. all the circles are concentric.

1. 1 : 3
2. 3 : 1
3. 1 : 6
4. 6 : 1
5. 6 : 3

Explanation:

According to the figure, the radius of the circles are denoted by a, 3a and 6a where 'a' can be any variable that represents certain value or some unit of measurement.

From the figure we can say that the radius of the smallest circle is 'a'.

The radius of the middle circle is 3a and the radius of the outermost circle is 6a.

Now, we have to find out the ratio between the areas of the biggest and the smallest circles.

Therefore, area of the smallest circle = pi (a2)

And area of the largest circle = pi (6a2)

Hence, Ratio of the areas of these circles = pi (6a2): pi (a2) = 6: 1

∴ The areas of the biggest and the smallest circles are in the ratio 6: 1

Hence, the correct answer is option d.

4. If a + b = 10 and a – b = 20, then what will be the value of a/b?

1. 10/20
2. 1/3
3. -1/3
4. -3
5. None of the above

Explanation:

According to the data given in the question,

a + b =10 -----------i

a – b = 20-----------ii

On adding equations I and ii we get,

2a = 30

∴ a = 15

Substituting the value of 'a' in equation I we get,

15 + b = 10

∴ b = 10 – 15

∴ b = -5

Hence we have the values of 'a' and 'b' as a = 15 and b = -5

Now, we have to find out the value of a/b

∴ a/b = 15/-5

∴a/b = 3/-1 = -3

Hence, the correct answer is option d.

5. The ratio between the ages of Mary and her mother is 1: 2 and that of Mary and her father is 1: 3 at the time of Mary's birth. Mary is 10 years old now. Find out the ratio between the ages of Mary's mother and father at this age of Mary.

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

Explanation:

According to the data given in the question, when Mary took birth,

The ratio between the ages of Mary and her mother is 1: 2

The ratio between the ages of Mary and her father is 1: 3

Now, if we say 'x' is the age of Mary when she is born

Hence, we can say that her mother's age is 2x and her father's age is 3x---------i

Now, Mary is 10 years old.

Therefore, from equation 1 we can say,

Her mother's age is 2x i.e. 2 * 10 = 20 and her father's age is 3x i.e. 3 * 10 = 30 at this age of Mary.

Thus, the ages of Mary's mother and Mary's father are in the ratio 20:30 = 2:3

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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