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GMAT Sample Questions » GMAT Sample Problem Soving Ability

# Quantitative Section : GMAT Sample Problem Solving Ability

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

1. What will be the result of [12] – [10], if it is given that [x] = -x2.

1. -44
2. 44
3. 144
4. 100
5. None of the above

Explanation:

According to the data given in question, [x] = -x2.

Substituting the value of x as x=12 in this equation, we get, [12] = -144

Now, substituting the value of x as x=10 in this equation, we get, [10] = -100

Now, substituting these values in [12] – [10] = (-144) – (-100) = -144 + 100 = -44

Hence, the correct answer is option a.

2. The annual income of Ralph is 35 percent less than the annual income of Mike. Calculate the increase in the annual income of Mike in terms of percentage in comparison to the annual income of Ralph.

1. 25 %
2. 35 %
3. 20 %
4. 30 %
5. None of the above

Explanation:

Let \$100 be the annual income of Mike.

Now, according to the data given in the question, annual income of Ralph is less than the annual income of Mike by 35 percent.

∴ 35% of 100 = \$ 35

Hence, we can say that the annual income of Ralph is \$ 65, when annual income of Mike is \$ 100.

But, we have to find the percentage increase in the annual income of Mike as compared to annual income of Ralph.

∴ Percentage increase in annual income of Mike = 100 - 65 = 35 %.

Hence, the correct answer is option b.

3. There are in all 27 balls in a basket which are red and green in color. The number of red balls was 13 and the number of green balls is 1 more than the number of red balls. Ravi is said to pick a ball that is only green in color. Find out the probability that Ravi picks out only a green color ball from this bag.

1. 13 / 27
2. 27 / 13
3. 14 / 27
4. 27 / 14
5. None of the above

Explanation:

According to the data given in the question,

Total number of balls in the bag = 27 …………….i

Total number of red balls in the bag = 13 ……………ii

Total number of green balls in the bag = 14 ………………..iii

∴ The probability that Ravi picks out only a green colored ball = 14 / 27 ………..iv

Hence, the correct answer is option c.

4. Certain numbers of children were playing a game of football. There was a trial taking place on the field. In this trial the probability that a goal is scored is 2/5. The probability that a girl hits a goal is 7/10 whereas the probability that a boy hits a goal is 1/5. What will be the probability that not only a goal is hit but it is also hit by a boy?

1. 14 / 50
2. 7 / 50
3. 2 / 5
4. 2 / 25
5. None of the above

Explanation:

According to the data given in the question,

The probability that a girl scores a goal = 7 / 10 ………………….i

The probability that a boy hits a goal = 1 / 5 …………….ii

The probability that a goal is scored by any of the child = 2 / 5 ……………….iii

We know that, the probability that two events will take place simultaneously is denoted by the product of the individual occurrences of each of the different events.

∴ The probability that the two events namely a goal is scored and it is also scored by a boy, will take place at one and the same time = (2 / 5) * (1 / 5) = 2 / 25

Hence, the correct answer is option d.

5. The price at which Jim sold his 26 articles is the same as that of the price at which he bought 25 articles. What is the gain in percentage that Jim made in this business?

1. 4 %
2. 5 %
3. 6 %
4. 10 %
5. None of the above

Explanation:

According to the data given in the question,

Total number of articles purchased by Jim = 25

Total number of articles sold by Jim = 26

The cost price (C.P.) of 25 articles = The selling price (S.P.) of 26 articles …………..i

Now, let the cost price of 1 article be \$ 1 …………ii

∴ The cost price of 25 articles = \$ 25 ………….iii

Also, from data (i) as well as (ii),

The selling price of 26 articles = The cost price of 25 articles = \$ 25 ………….iv

∴ Jim's gain in terms of percentage = (26 – 25) * 100 / 25 = 1 * 100 / 25

∴ Jim's gain in terms of percentage = 100 / 25 = 4 %

Hence, the correct answer is option a.

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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