Sub Inspector in Delhi Police and Central Armed Police Forces Examination 2023 

Paper I 

Exam Date 05/10/2023 

Exam Time 9:00 AM - 11:00 AM 

Q.1 Find the fourth proportional to 0.48, 0.84 and 32. 

1. 65 

2. 34 

3. 56 

4. 43 

Q.2 Study the given table and answer the question that follows. 

The table shows data of population and literacy/illiteracy rate among the population in three different villages. 

The number of illiterates in village R is what percentage less than that in village P? 

Q.3 In a circle of radius 42 cm, an arc subtends an angle of 60° at the centre. Find the length of the arc. 

1. 44 cm 

2. 21 cm 

3. 22 cm 

4. 42 cm 

Q.4 Mihir buys a book for ₹625. However, because of certain urgency, he sells it for ₹550. Find his loss percentage. 

1. 12% 

2. 14% 

3. 10% 

4. 15% 

Q.5 The salary of Arpit fell by 5% after 1 year and further fell by 8% after the second year due to bad performance. Initially, his salary was ₹80,000. What is his current salary (in ₹)? 

1. 69620 

2. 69920 

3. 70920 

4. 65720 

Ans : 2 

Q.6  Study the given graph and answer the question that follows.

The graph shows data related to number of students enrolled for a vocational course in two institutes (X and Y) during three years.

What is the difference between the average number of students enrolled in institute X in 2010 and 2011 and that in institute Y in 2011 and 2012?

1. 20 

2. 15 

3. 18 

4. 22 

Q.7 The total surface area of a solid hemisphere is 4158 cm². Find its volume (in cm³). 

1. 462 

2. 9702 

3. 1848 

4. 19404 

Q.8 The average weight of 8 students is 48 kg. If four students of average weight 44 kg and four students of average weight 58 kg is also added, then find the average weight of 16 students. 

1. 49.5 kg 

2. 48 kg 

3. 49 kg 

4. 48.5 kg 

Q.9 Simplify the given expression. 

(1 - 2x)² - (1 + 2x)² 

1. 8x 

2. -8x 

3. –(2+8x²) 

4. 2+8x²

Q.10  10 The table below shows the number of laptops sold by the 4 sellers and the ratio of Brand 1 laptops sold to Brand 2 laptops sold.

The number of Brand1 laptops sold by A seller is how many more than the number of Brand2. laptops sold by B seller?

1. 1200 

2. 800 

3. 1000 

4. 600 

Q.11 A boy goes from home to school at a speed of 30 km/h and returns back at a speed of 70 km/h. What is his average speed for the journey? 

1. 42 km/h 

2. 48 km/h 

3. 38 km/h 

4. 36 km/h 

Q.12 Rupu’s income is 20% more than Madhu’s income. Madhu’s income is less than Rupu’s income by: 

Q.13 What annual instalment (in ₹) will discharge a debt of ₹9,429 due in three years at 12.25% simple interest per annum? [Note: Instalments will be paid at the end of Year 1, Year 2 and Year 3.] 

1. 2,840 

2. 2800 

3. 2700 

4. 2760 

Ans : 2 

Q.14 Study the given table and answer the question that follows. 

The table shows the number of students studying in 6 different classes of 6 different schools. 

Which class has the minimum number of students from all schools together? 

1. VIII 

2. IX 

3. VII 

4. X 

Q.15 Find the least number which is exactly divisible by 20, 28, 34, 60 and 75. 

1. 36220 

2. 35900 

3. 34500 

4. 35700 

Q.16 The mean proportional between 0.03 and 0.0003 is: 

1. 0.0003 

2. 0.0013 

3. 0.003 

4. 0.033 

Q.17  

1. 15 

2. 20 

3. 25 

4. 30 

Q.18  The given pie-chart represents the survey report on favourite games of a group of young people.

If a total of 4980 people were surveyed, then what is the central angle produced by the sector indicating football?

1. 108° 

2. 105° 

3. 100° 

4. 90° 

Q.19 A shopkeeper increases the cost price of an item by 50% and offers a discount of 40% on this marked price. What is his loss percentage? 

1. 15% 

2. 20% 

3. 10% 

4. 5% 

Q.20 An item with a marked price of ₹z was sold for ₹6,622, after a discount of 12% was offered. What was the value of z? 

1. ₹7,425 

2. ₹7,500 

3. ₹7,525 

4. ₹7,575 

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