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

Exam Date 05/10/2023

Exam Time 4:00 PM - 6:00 PM 

Section : Quantitative Aptitude  

Q.1 Find the fourth proportional of 22, 66 and 11.  

1. 23  

2. 33  

3. 17  

4. 39  

Q.2 An article is sold at a discount of 25% and an additional discount of 28% is allowed on cash payment. If Ramendra purchased the article by paying ₹10,800 in cash, then what was the marked price of the article?  

1. ₹19,800  

2. ₹20,800  

3. ₹20,000  

4. ₹18,000  

Q.3 A shopkeeper marked the price as ₹15,000 on an article, and a successive discount of 5%, 10% and 20% was allowed on it. What is the selling price?  

1. ₹10,260  

2. ₹13,520  

3. ₹11,520  

4. ₹9,850  

Q.4 The value of a washing machine depreciated from ₹40,960 to ₹21,970 in 3 years. Find the yearly rate of depreciation.  

1. 25%  

2. 16.25%  

3. 18.75%  

4. 20%  

Q.5 A and B are equally efficient, and each can individually complete a piece of work in 36 days, if none takes any holiday. A and B started working together on this piece of work, but A took a day off after every five days of work, while B took a day off after every seven days of work. If the duo had started work on 1 July 2021, on which date was the work completed?  

1. 22 July 2021  

2. 19 July 2021  

3. 21 July 2021  

4. 20 July 2021  

Q.6 The radius of a metallic spherical ball is 3 cm. If the metallic ball is melted and recast into x number of hemispheres of radius equal to half the radius of the metallic spherical ball, then find the value of x.  

1. 15  

2. 14  

3. 16  

4. 13  

Q.7 Some ice pieces, spherical in shape, of diameter 6 cm are dropped in a cylindrical container containing some juice and are fully submerged. If the diameter of the container is 18 cm and level of juice rises by 40 cm, then how many ice pieces are dropped in the container?  

1. 95  

2. 85  

3. 80  

4. 90  

Q.8 If the slant height of a cone is 29 cm and its height is 20 cm, find the ratio between the magnitudes of total surface area and the volume.  

1. 5 : 14  

2. 7 : 15  

3. 3 : 7  

4. 3 : 14  

Q.9 In ΔABC with sides 8 cm, 9 cm and 12 cm, the angle bisector of the largest angle divides the opposite sides into two segments. What is the length of the shorter segment?  

Q.10 If cot²θ = 1 - e², then the value of cosec θ + cot³θ sec θ is:  

1. 1 

2. 1/2 

3. 1/3 

4. 2 

Q.12 A, B and C can do a piece of work in 11 days, 20 days and 55 days respectively. How soon can the work be done if A works with B on first day, A works with C on second day and so on?  

Q.13 Study the given table and answer the question that follows.  

The average number of children per family is: 

1. 1.47  

2. 1.59  

3. 1.23  

4. 1.72  

Q.14 A fast local of Mumbai takes 45 minutes less than a slow local for a journey of 150 km. If the speed of the fast local is 10 km/h more than that of the slow local, find the speed (in km/h) of the slow local train.  

1. 30  

2. 35  

3. 45  

4. 40  

Q.15 In a school of 720 students, the ratio of boys to girls is 3 : 5. Find how many new boys may be allowed to the school if 18 new girls are admitted, so that the ratio of boys to girls changes to 2 : 3.  

1. 42  

2. 44  

3. 50  

4. 38  

Q.16 The given graph shows the income and expenditure of a family. Study the graph and answer the question that follows.  

The expenditure of the family increased by _____ from 2017 to 2018.  

1. 25%  

2. 11%  

3. 22%  

4. 20%  

Q.17 Which of the following is the greatest four-digit number that is divisible by 15, 25, 40, and 75?  

1. 9200  

2. 9500  

3. 9600  

4. 9000  

Q.18 What is the average of the first six prime numbers?  

Q.19 Ayush spends 25% of an amount of money on an insurance policy, 26% on food, 23% on children’s education and 19% on recreation. He deposits the remaining amount of ₹26,600 in the bank. What is the total amount (in ₹) that he spends on food and recreation together?  

1. 1,95,000  

2. 1,71,000  

3. 1,62,000  

4. 1,83,000  

Q.20 Study the given pie-chart carefully and answer the question that follows.  

Degree wise Break-up of Expenditure of a Family in a Month What is the amount spent by the family on housing?  

1. ₹11,814  

2. ₹6,248  

3. ₹10,615  

4. ₹12,496  

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