Problem Solving Practice Questions
Questions: 15

Time: 20 minutes

Directions: Each question below is followed by five answer choices, one among which is correct. Mark the correct answer choice. 


  1. A leopard spots a deer from a distance of 200 meters. As the leopard starts chasing the deer, the deer also starts running. Given that the speed of the deer is 10 km/h and that of the leopard is 12 km/h, how far would have the deer run before it is caught?

    3 km
    4 km
    2 km
    1 km
    5 km



  2. Paul, Quallis and Robert divide a sum of money among themselves in the ratio 2:3:7. Find the share of Paul if the total share of Paul and Quallis together is $1500 less than that of Robert.

    2000
    1200
    1400
    2500
    1500



  3. Find the speed of a man in still water if he goes upstream at 6 km/h when the rate of stream is 2 km/h.

    2 km/h
    8 km/h
    6 km/h
    14 km/h
    4 km/h



  4. The length of rectangle ABCD is 6/5th of its breadth. Its perimeter is 132. Find its area.

    660 m²
    2210 m²
    1080 m²
    2160 m²
    460 m²



  5. The prices of a TV and a refrigerator are in the ratio 9:5. If the TV costs $4,200 more than the refrigerator does, what is the price of the refrigerator?

    4200
    5400
    6000
    5250
    4600



  6. 40% of the people of a certain locality suffer from Diabetes, 25% suffer from Leprosy and 10% suffer from both. What percentage of the people do not suffer from either of the diseases?

    30%
    35%
    40%
    45%
    50%



  7. A bag contains balls, marbles and tops. The triple ratio of balls to marbles to tops in the bag is 20 : 4 : 6. If there are 120 balls in the bag, find the number of tops in the bag.

    66
    36
    26
    49
    12



  8. The cost of a camera at 20% discount is $100. Find its actual price.

    $125
    $130
    $225
    $335
    $105


  9. It takes 16 days for 48 women to complete a job that requires 16 men to complete in 24 days. 12 men initiate the work and after 14 days, 12 women join them. How many days will they together take to complete the job?

    12
    21
    6
    24
    16



  10. Where does p lie if p² < p?

    Between -1 and 0
    Between -1 and 1
    Between 0 and 1
    It is always less than 0
    It is always greater than 1



  11. The ratio of gasoline to edible oil in 40 liters of the mixture is 3 : 1. How many liters of edible oil should be added in the mixture to make the ratio of gasoline to edible oil 2 : 1?

    15 liters
    5 liters
    7.5 liters
    1.5 liters
    10 liters



  12. Find the value of (p - 1)³ if p = 15/18 + 5/16 - 20/24

    -1231/4096
    6
    0
    1321/4906
    215/126



  13. Given that AB and CD are two chords of a circle intersecting at the point O outside the circle, and AB = 7 m, BO = 5 m, and OD = 3 m. Find the length of OC.

    20 m
    16 m
    35 m
    6 m
    18 m



  14. In a class of 100 students, 20 play Football, 20 do not play Rugby, 10 play neither of the games. Find the number of students who play both the games.

    15
    12
    10
    9
    20



  15. The present age of Falcon is thrice the present age of Simran who is 20. How many years ago was the age of falcon five times that of Simran?

    3
    7.5
    6
    7
    10