CAT Sample Questions

Quantitative Section : Quantitative Sample Questions

Directions:In this section you will be given two quantities, one in column A and one in column B. You are to determine a relationship between the two quantities and mark.

1. If the quantity in column A is catater than the quantity in column B.
2. If the quantity in column B is catater than the quantity in column A.
3. If the quantities are equal.
4. If the comparison cannot be determined from the information that is given.

1. A rectangle is 14 cm long and 10 cm wide. If the length is reduced by x cms and its width is increased also by x cms so as to make it a square then its area changes by :
   1. 4
   2. 144
   3. 12
   4. 2
   5. None of the above.

   Ans : A

2. A motorcycle stunts man belonging to a fair, rides over the vertical walls of a circular well at an average speed of 54 kph for 5 minutes. If the radius of the well is 5 meters then the distance traveled is:
   1. 2.5 kms
   2. 3.5 kms
   3. 4.5 kms
   4. 5.5 kms
   5. None of the above

   Ans : C

3. If 1 cm on a map corresponds to an actual distance of 40 kms. And the distance on the map between Bombay and Calcutta is 37.5 cms., the actual distance between them is :
   1. 375 kms
   2. 3750 kms
   3. 1500 kms
   4. 1375 kms
   5. None of the above

   Ans : C

4. A box contains 90 mts each of 100 gms and 100 bolts each of 150 gms. If the entire box weighs 35.5 kg., then the weight of the empty box is :
   1. 10 kg
   2. 10.5 kg
   3. 11 kg
   4. 11.5 kg
   5. None of the above

   Ans : D

5. If the radius of a circle is increased by 20% then the area is increased by :
   1. 44%
   2. 120%
   3. 144%
   4. 40%
   5. None of the above

   Ans : A

6. Tom, Dick and Harry went for lunch to a restaurant. Tom had $100 with him, Dick had $60 and Harry had $409. They got a bill for $104 and decided to give a tip of $16. They further decided to share the total expenses in the ratio of the amounts of money each carried. The amount of money which Tom paid more than what Harry paid is
   1. 120
   2. 200
   3. 60
   4. 24
   5. 36

   Ans : E

7. A plot of land is in the shape of a trapezium whose dimensions are given in the figure below :
   
   Hence the perimeter of the field is
   1. 50 m
   2. 64 m
   3. 72 m
   4. 84 m
   5. None of the above

   Ans : c

8. Four concentric ( having the same center ) circles with radii, x, 2x, 3x and 4x are drawn to form two rings A and B as shown in the figure.
   
   Ratio of the area of inner ring A to the area of outer ring B is
   1. 1 : 2
   2. 1 : 4
   3. 2 : 3
   4. 3 : 7
   5. None of the above

   Ans : D

9. If 3/p = 6 and 3/q = 15 then p - q = ?
   1. 1/3
   2. 2/5
   3. 3/10
   4. 5/6
   5. None of the above

   Ans : C

10. A father is three times as old as his son. After fifteen years the father will be twice as old as his son's age at that time. Hence the father's present age is
    1. 36
    2. 42
    3. 45
    4. 48
    5. None of the above

    Ans : C

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