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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. If 3x = 243 then find out the value of 'x' to get this result.

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

    Correct answer: d

    Explanation:

    According to the data given in the question, we know that the result is a multiple of 3

    We have to find out the power such that when we raise 3 to that power the result is equal to 243

    Therefore, we will try out each of the option given in the question to find out the correct answer

    Now, 3 raise to the power 2 = 3*3 = 9

    Now, 3 raise to the power 3 = 3*3*3 = 27

    Now, 3 raise to the power 4 = 3*3*3*3 = 81

    And, 3 raise to the power 5 = 3*3*3*3*3 = 243

    Hence, the correct answer is option d

  2. In some arithmetic sequence, the sum of the digits of the first and the second term is the third term. The series starts from the whole number 0. Find the seventh term in this series.

    1. 5
    2. 7
    3. 6
    4. 8
    5. None of the above

    Correct answer: d

    Explanation:

    According to the data given in the question, the numbers are in arithmetic sequence start from the number 0

    Also, the sum of the first and the second term make up the third term in the sequence

    We have to find out the seventh term in this sequence. Hence, as per the description we will go on adding the numbers in the series until we get the seventh term of the series.

    Starting from 0, we get, the second term as 1, the third term as 1, the fourth term as 2, the fifth term as 3, the sixth term as 5 and lastly the seventh term as 8, in the following manner.

    0+1 = 1
    1+1 = 2
    2+1 = 3
    3+2 = 5
    5+3 = 8

    Hence, the correct answer is option d.

  3. Adam got 5 academic text books and 15 note books. If the average cost of Adam's academic text books was $ 105 and the average cost of his writing note books was $ 150, then find out the average cost of the total number of books purchased by Adam.

    1. 30.125
    2. 31.875
    3. 28.125
    4. 55.550
    5. None of the above

    Correct answer: b

    Explanation:

    According to the data given in the question, Adam got 5 academic text books and 15 writing note books respectively.

    ∴ Number of text books = 5 ……….i

    And, number of note books = 15 …………….ii

    Average cost of 5 academic text books = $ 105 ……..iii

    ∴ Cost of 1 academic text book = $ 105 / 5 = $ 25 …………iv

    Also given that, average cost of 15 writing note books = $ 150 ………..v

    ∴ Cost of 1 writing note book = $ 150 / 15 = $ 10 …………..vi

    Now, Total number of books purchased by Adam = 5 + 15 = 20 …………vii

    ∴ Average Cost of all the text books and note books = ($ 105 + $ 150) / 8

    ∴ Average Cost of all the text books and note books = $ 255 / 8 = $ 31.875 ….viii

    Hence, the correct answer is option b.

  4. If (a / b) = 0.12 then find the negative value of the reciprocal of the same fraction.

    1. (b / a)
    2. – (b / a)
    3. 0.833
    4. -8.33
    5. None of the above

    Correct answer: d

    Explanation:

    According to the data given in the question the value of the fraction (a / b) = 0.12

    We have to find the negative value of the reciprocal of this fraction which means we have to find the value of –(b / a)

    First we will find the value of (b / a)

    ∴ If (a / b) = 0.12, then (b / a) = (1 / 0.12)

    ∴ (b / a) = 8.33

    Now, we will negate the sign of the result of (b/a) to get the value of –(b/a) as -8.33

    Hence, the correct answer is option d.

  5. If 4 - a = 8(1 – a), then find the value of 'a' according to this equation.

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

    Correct answer: c

    Explanation:

    According to the data given in the question,

    4 – a = 8(1 – a) …………..i
    ∴ 4 – a = 8 – 8a
    ∴ 8a – a = 8 – 4
    ∴ 7a = 4
    ∴ a = 4 / 7

    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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