Word Problems — Quiz 5

Questions in this quiz (10)

1. A crate contains cartons, each carton contains boxes, and each box contains 18 balls. If there are 540 balls per crate and if there are seven fewer cartons than boxes, how many cartons are there in a crate?

   • 7
   • 3
   • 10
   • 13

2. Ms. Green needs exactly 500 feet of fencing to enclose her rectangular garden. If the area of the garden is 10000 square feet, what is the length (in feet) of the garden?

   • 150
   • 250
   • 75
   • 200

3. Two tanks contain $$72$$ liters and $$120$$ liters of water respectively. What is the maximum capacity of a container that can be used to measure water from both tanks exactly without any remainder?

   • 72
   • 36
   • 18
   • 24

4. A community center is organizing an optional cooking class. If 20 or fewer participants sign up, the fee for each person is $$15$$. If more than 20 people sign up, the fee drops to $$12$$. A total of 25 people registered for the class, but each of them paid the $$15$$ fee. The extra money paid by the participants will be used to cover the cost of ingredients for a special dish. How much total money will be used for the ingredients?

   • 240
   • 75
   • 135
   • 375

5. The employees of two factories, A and B, are comparing their respective production records. Factory A has already produced 25000 units and can produce 100 units per day. Factory B has produced 18000 units and can produce 150 units per day. If $$d$$ represents the number of days (that is, days during which each factory is producing its maximum number of units), determine the number of days until Factory A's total production equals Factory B's total production.

   • 7000
   • 50
   • 150
   • 140

6. Working together, Prathap and Dileep can paint their apartment in 2 days. Working alone, Prathap can complete the job in 3 days less than Dileep. How long would it take each person working alone?

   • Dileep takes $$9$$ days alone. Prathap takes $$5$$ days alone.
   • Dileep takes $$6$$ days alone. Prathap takes $$3$$ days alone.
   • Dileep takes $$3$$ days alone. Prathap takes $$1$$ days alone.
   • Dileep takes $$12$$ days alone. Prathap takes $$6$$ days alone.

7. A boy was asked his age: "If you add the square root of it to half of it, and then subtract 12, the answer will be nothing," replied the boy. What was his age?

   • 16
   • 24
   • 4
   • 12

8. The product of Diya's age (in years) five years ago with her age (in years) 9 years later is 15. What is Diya's present age?

   • 3
   • 4
   • 6
   • 9

9. A girl goes to her friend's house, which is at a distance of 12 km. She covers half of the distance at a speed of $$x$$ km/hr and the remaining distance at a speed of $$(x+2)$$ km/hr. If she takes 2 hrs 30 min to cover the whole distance, find $$x$$.

   • 14
   • 6
   • 4
   • 26

10. Siddarth is about to embark on a journey on a narrow country lane that covers 32 km and decides to go at $$x$$ km/h. On second thoughts, he calculates that if he increases the speed by 4 km/h, his journey time can be cut down by 4 hrs. Find $$x$$.

    • 4
    • 12
    • 16
    • 32