Quants Questions for CLAT | QB Set 8

A stationery shop and a construction company provided the following data for analysis using the unitary method. In the stationery shop, 5 notebooks cost Rs. 150, and 3 pens cost Rs. 45. The prices of all items remain constant regardless of quantity purchased. In addition, the shop offers no discounts or bulk pricing.

Meanwhile, a construction company reported that 6 workers can complete a project in 15 days, working at the same efficiency. The total amount of work remains fixed. Similarly, a factory uses machines where 8 machines can produce 400 units of goods in one day, assuming equal efficiency of each machine.

The data highlights two types of relationships. In the case of cost and quantity of items, the relationship is direct, meaning that as the number of items increases, the total cost also increases proportionally. However, in the case of workers and time, the relationship is inverse, meaning that as the number of workers increases, the time required decreases proportionally.

Using this information, answer the following questions carefully by applying the unitary method.

Questions

Question 1

Based on the data given for notebooks, if a student purchases 8 notebooks from the same shop at the same rate, calculate the total amount payable.

A. Rs. 200
B. Rs. 220
C. Rs. 240
D. Rs. 260

Question 2

Using the information about pens, a customer wants to buy 8 pens from the shop. The price per pen remains constant. Calculate the total cost.

A. Rs. 120
B. Rs. 135
C. Rs. 150
D. Rs. 180

Question 3

According to the factory data, 8 machines produce 400 units in one day. If the number of machines is increased to 16, how many units will be produced in one day?

A. 600 units
B. 700 units
C. 750 units
D. 800 units

Question 4

From the construction company’s data, 6 workers complete a project in 15 days. If 12 workers are assigned to the same project, calculate the number of days required.

A. 7.5 days
B. 8 days
C. 10 days
D. 12 days

Question 5

If a buyer purchases both 6 notebooks and 4 pens from the shop, what will be the total cost?

A. Rs. 210
B. Rs. 240
C. Rs. 270
D. Rs. 300

Answer Key with Explanation

1. C. Rs. 240
   Cost of 1 notebook = 150 ÷ 5 = 30 → 8 × 30 = 240
2. A. Rs. 120
   Cost of 1 pen = 45 ÷ 3 = 15 → 8 × 15 = 120
3. D. 800 units
   1 machine = 400 ÷ 8 = 50 → 16 × 50 = 800
4. A. 7.5 days
   Total work = 6 × 15 = 90 → Days = 90 ÷ 12 = 7.5
5. B. Rs. 240
   6 notebooks = 6 × 30 = 180
   4 pens = 4 × 15 = 60
   Total = 180 + 60 = 240