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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 quantitative questions.

1. Which of the following statements hold true for writing as well as reading of the roman numbers?

1. You should always work from right to left in order to find the correct value of a roman number
2. While moving from right to left, we add the values of the symbols when a lower value symbol is followed by a higher value symbol
3. While moving from right to left, we subtract the lower value from the higher value, when a higher value symbol is followed by a lower value symbol
4. There is no symbol to symbolize zero using the roman numbers

1. i and ii are true
2. ii and iii are true
3. I, ii and iii are true
4. None of the statements is true
5. All the statements are true

2. How will you represent the number 1600 with the help of roman numbers?

1. XXXX
2. MDC
3. CMD
4. DMC
5. None of the above

Explanation:

According to the roman number representation scheme,

Letter I represents a value of 1

Letter X represents a value of 10

Letter V represents a value of 5

Letter L represents a value of 50

Letter C represents a value of 100

Letter D represents a value of 500

Letter M represents a value of 1000

We have to find the roman symbol for number 1600.

1600 = 1000 + 500 + 100 = M C D

Hence, the correct answer is option b.

3. What value does the roman number MCDL represent?

1. 1600
2. 1650
3. 1560
4. 1500
5. None of the above

Explanation:

According to the roman number representation scheme,

Letter I represents a value of 1

Letter V represents a value of 5

Letter X represents a value of 10

Letter L represents a value of 50

Letter C represents a value of 100.

Letter D represents a value of 500

Letter M represents a value of 1000

We have to find the value represented by the roman symbol MCDL.

From the above data we can substitute the values for the respective symbols as follows,

M = 1000, C = 100, D = 500, L = 50

∴ MCDL = 1000 + 100 + 500 + 50

But, since, the value of C is less than the value if D, hence, we will subtract the value of C from the value of D.

∴ MCDL = 1000 + (500 – 100) + 50 = 1450

Since, none of the options represent this value the correct answer is option e.

Hence, the correct answer is option e.

4. In order to represent higher numbers with the help of roman symbols, a bar is placed on the top of the roman numbers and then the resultant number is multiplied by which of the following number to find out the exact value?

1. 10
2. 100
3. 1000
4. 1
5. None of the above

Explanation:

According to one of the properties of roman numbers, bar over the top of a roman number indicates multiplication by 1000.

Hence, the correct answer is option c.

5. What do the lines on both the sides of a roman number and a bar on the op indicate?

1. Multiplication by 100000
2. Multiplication by 100
4. Multiplication by 1000
5. None of the above

Explanation:

Additional horizontal lines on each side of a roman number along with a bar on top of that number imply hundreds of thousands. This means 100*100, which is equal to 100000.

Hence, the correct answer is option a.

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