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GMAT Sample Questions » GMAT Sample Problem Soving Ability

Quantitative Section : GMAT Sample Problem Solving Ability

GMAT stands for Graduate Management Admission Test. GMAT question set is divided into three main sections namely the verbal, quantitative and analytical writing assessment. Problem solving questions are a part of the verbal section of the GMAT entrance exam. It tests the quantitative reasoning ability of the examinee. These questions are based various topics of mathematics. Each question has five answer choices. You have to solve the question in order to find out the correct answer from the five options. Let us have a look at some sample questions based on problem solving.

  1. One of the sides of a square measures 10 cm in length. If we increase the size of two opposite sides by a couple of centimeters and decrease the length of the remaining two opposite sides by the same measure, then what will be the area of the resulting figure in meter?

    1. 192 m
    2. 19.2 m
    3. 192 cm
    4. 1.92 m
    5. 0.192 m

    Correct answer: e

    Explanation:

    It is given that the sides of the square measure 10cm in length. Therefore the area of square is side * side = 10 * 10 = 100 square cm.

    Now, the question says that the length of some two opposite sides is reduced by a couple of centimeters i.e. it is reduced by 2 cm and the length of the other two opposite side is increased by the same measure i.e. 2 cm only.

    Hence, as per this, the length of the sides of the square has changed to 8 cm and 12 cm respectively. From this we can conclude that the resulting figure is a rectangle.

    Now the area of a rectangle is 2 * length * breadth = 2 * 8 * 12 = 192 square cm.

    But the question asks the area in meters. Hence, 192 cm = 192 * 10-3 meter = 0.192 square meter.

    Hence the correct answer is option e.

  2. If a man drives a car at a speed of 50 km per hour; then calculate the distance covered by the man in 10 minutes if he is driving at the same speed constantly.

    1. 8.000 km
    2. 8.900 km
    3. 8.350 km
    4. 8.335 km
    5. 0.875 km

    Correct answer: d

    Explanation:

    It is given that man is driving at a speed of 50 km/hr for 10 minutes.

    We know that, distance = speed * time---------(i)

    After substituting the value of speed and time in this formula we get,

    Distance = 50 km/hr * 10 minutes-------(ii)

    Now, 1 hour = 60 minutes Therefore, x hours = 10 minutes → x = 10 / 60 → x = 0.1667 hours.

    Now, substituting the value of 'x' in equation (ii), we get,

    Distance = 50km/hr * 0.1667 hr

    ∴ Distance = 8.335 km

    Hence, the correct answer is option d.

  3. If the scale used for drawing a map states that the actual distance of 50 km is represented by 1cm on the map; then according to this scale what will be the actual distance between Los Angeles and Washington D.C. if Washington D.C. is 12.22 cm away from America on the map?

    1. 611 km
    2. 61 km
    3. 61.1 km
    4. 611 cm
    5. None of the above

    Correct answer: a

    Explanation:

    It is given that, 1cm on map is equal to 50 km on the road.

    We have to find out the actual distance for a distance of 12.22cm on the map.

    We can write the above equalities as follows,

    1 cm = 50 km \ 12.22 cm = say 'x' cm.

    ∴ x = 50 * 12.22 = 611 km.

    Hence, the correct answer is option a.

  4. It is given that the weight of an empty box is 1000 gm and the total weight of the box when filled with apples and mangoes is 10kg. If there are 3 dozens of apple in the box and the weight of each apple is 200 gm whereas the weight of every mango is 300 gm, then, find out the total number of mangoes in the box.

    1. 6
    2. 8
    3. 9
    4. 10
    5. None of the above

    Correct answer: a

    Explanation:

    According to the data given in the question:

    Weight of an empty box is 1000 gm = 1kg

    Total weight of the box when filled with apples and mangoes is 10kg = 10000 gm

    There are 3 dozens of apple in the box = 12*3 = 36 apples in all

    Weight of each apple is 200 gm and

    ∴ Weight of an empty box i.e. 36 apples = 200gm * 36 = 7200gm

    Now weight of total mangoes in the box = (Total weight of the box when filled with apples and mangoes) (Weight of an empty box + Weight of an empty box)

    ∴ Weight of total mangoes in the box = (10000) (1000 + 7200) = (10000 8200)

    ∴ Weight of total mangoes in the box = 1800

    But, it is given that weight of every mango is 300 gm.

    Hence, weight of say 'x' mangoes = 1800 gm

    ∴ x = 1800 / 300 = 6

    Therefore, there are in all 6 mangoes in the box.

    Hence, the correct answer is option a.

  5. If we increase the area of a circle by 32 % then, calculate the approximate increase in the radius of the same circle in terms of percentage.

    1. 32 %
    2. 42 %
    3. 22 %
    4. 20 %
    5. None of the above

    Correct answer: d

    Explanation:

    Area of a circle = pi * radius * radius

    Say for example radius = 4 units and pi = 3.14

    Then area of this circle = pi * 4 * 4 = 3.14 * 4 * 4 = 55.04

    Now, we have to find out the percentage increase in the radius if we increase the area by 32 %.

    (32 * 55.04) / 100 + (55.04) = 72.6258

    This is 32 percent increased area of the circle.

    Now, we have to find out the radius,

    Say 'x' is the percentage increase in the radius of the circle.

    Therefore, pi * (x + 4) * (x + 4) = 72.6258

    ∴ (x + 4) 2 = 72.6258/3.14 = 0.004

    On solving the equation we can say that, for 20% increase in the radius the area of the circle increases by 32%.

    Hence, the correct answer is option d.

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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