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GMAT Sample Questions » GMAT Sample Problem Soving Ability

# Quantitative Section : GMAT Sample Problem Solving Ability

Solve the following quantitative questions and then choose the correct answer from the following five options.

1. If it is given that, 5 : 6 :: 100 : x, then in that case find the value represented by the variable 'x'.

1. 100
2. 5
3. 6
4. 120
5. None of the above

Explanation:

According to the data given in the question,

5:6 :: 100:x ......(i)

We have to find the value of 'x'

Now, equation (i) can also be written as follows,

5/6 = 100/x

∴ x = 100*6 / 5

∴ x = 600/5 = 120

Hence, the correct answer is option d.

2. Find the value of (a) which is the mean proportion of the variables 'm' as well as 'n' if m=5 and n=25.

1. 5
2. 25
3. 125
4. 5√5
5. None of the above

Explanation:

According to the data given in the question, (a) is the mean proportion of the variables 'm' as well as 'n'.

This means that (a2) = m*n ....i

We know that, m=5 and n=25.

Putting these values in equation i, we get,

(a2) = 5*25 = 125

Now, taking square root on both sides we get, a = 5√5

Hence, the correct answer is option d.

3. Find the value of (z) which is the third proportion of the variables 'm' as well as 'n', where value of m=10 and value of n=2.

1. 0.1
2. 0.2
3. 0.4
4. 0.5
5. None of the above

Explanation:

According to the data given in the question, (z) is the third proportion of the variables 'm' as well as 'n'.

This states that, m:n :: n:z

This means that (n2) = m*z ....i

We know that, m=10 and n=2.

Putting these values in equation i, we get,

(22) = 10*z

∴ 4 = 10*z

∴ z = 4/10 = 0.4 ....ii

Hence, the correct answer is option c.

4. Find the duplicate ratio and the sub duplicate ratio of x and y where x=7 and y=9.

1. 7:9 and √7: √9
2. 49:81 and 7:9
3. √7: √9 and 7:9
4. 9:7 and √9: √7
5. None of the above

Explanation:

Duplicate ratio means the ratio of the squares of the original numbers in terms of ration and proportion i.e. x2:y2

Whereas, sub-duplicate ratio means the ratio of the square roots of the original numbers in terms of ration and proportion i.e. √x:√y

Now, according to the data given in the question, value of x=7 and value of y=9.

∴ x2:y= 72:92 = 49:81 = duplicate ratio

And √x:√y = √7: √9 = sub-duplicate ratio

Hence, the correct answer is option a.

5. A bag contains red, blue and white balls. The red and the blue balls are in the ration 4:5, whereas, the blue and the white balls are in the ratio 6:4. Find the ratio between the red, blue and the white balls respectively.

1. 4:5:6
2. 5:4:6
3. 6:5:4
4. 12:15:10
5. None of the above

Explanation:

According to the data given in the question,

The ratio between the red and the blue balls = 4:5 ....i

The ratio between the blue and the white balls = 6:4 ....ii

We have to find the ratio between the red, blue and the white balls respectively.

We can see that the blue color is the common color in both the ratios.

Hence, to find out the scaling ratio, we will first find the LCM of 5 and 6.

LCM of 5 and 6 is 30.

Now multiplying the number of red balls i.e. 4 with 30/5, we get the result as 24.

And after multiplying the number of white balls i.e. 4 with 30/6, we get the result as 20.

Therefore, with the help of scaling ratios, we obtain the ratio between the red, blue and the white balls as 24:30:20 = 12:15:10.

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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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