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.21 Study the given bar graph carefully to answer the question that follows. 

Marks obtained by four students in Mid-I and Mid-II. 

Marks obtain by Hemanth in Mid-I are what percentage of the total marks obtained by all the students in Mid-I? 

1. 30% 

2. 15% 

3. 20% 

4. 25% 

Q.22 The following table shows the income of a company in a year from various sectors: 

What is the difference (in lakh ₹) between the income from the maximum earning sector and the minimum earning sector? 

1. 48 

2. 40 

3. 30 

4. 55 

Q.23 If interest be compounded half-yearly, then find the compound interest on ₹8,000 at 20% p.a. for 1 year. 

1. ₹1,675 

2. ₹1,690 

3. ₹1,685 

4. ₹1,680 

Q.24  

Q.25  

1. 33 

2. 36 

3. 38 

4. 40 

Q.26 If 2 men or 4 women can build a wall in 34 days, in how many days can 6 men and 5 women build the same wall? 

1. 24 

2. 8 

3. 12 

4. 16 

Q.27 Find the HCF of 78, 84, 90 and 112. 

1. 1 

2. 2 

3. 5 

4. 7 

Q.28  Study the given graph and answer the question that follows.

The following graph shows the distribution of the cost percentage of different items.

If a person purchased all the items for 13,00,000, then the cost of a TV is less than that of a laptop by:

1. ₹40,000 

2. ₹55,000 

3. ₹50,000 

4. ₹45,000 

Q.29  If cosA = 1/2 , 0 ≤  A ≤  90°, then what is the value of sin (180 — A)?

1. 1/2 

2. √ 3/2 

3. 1/√ 3 

4. 1 

Q.30 Mahesh agreed to sell rice with 24% loss, as the rice got rotten. However, he cheated customers and gave only 19 gm of rice in place of 50 gm of rice. What is the percentage of his profit or loss? 

1. 100% loss 

2. 100/3 % loss  

3. 100/3 % Profit 

4. 100 % Profit 

Q.31 A cylinder has some water in it at a height of 16 cm. If a sphere of radius 9 cm is put into it, then find the rise in the height of the water if the radius of the cylinder is 12 cm. 

1. 8 cm 

2. 6 cm 

3. 8.75 cm 

4. 6.75 cm 

Q.32  A can do 1/5 of a piece of work in 20 days. B can do 30% of the same work in 36 days. while C can do 80% of the same work in 160 days. B and C together started and worked for at days. After it days B left the work. and A joined C and both completed the remaining work in (x — 41) days. If the ratio between the work done by (B + C) together to the work done by (A + C) together is 19 : 6. Then I what fraction of the same work can be completed by C alone in 2x days?

1. 57/100 

2. 13/25 

3. 19/25 

4. 6/25 

Q.33 If the radius of two circles be 6 cm and 9 cm and the length of the transverse common tangent be 20 cm, then find the distance between the two centres. 

1. 25 cm 

2. 22 cm 

3. 24 cm 

4. 27 cm 

Q.34 Nikunj goes 4 kilometres against the current of a stream in 1 hour, and 2 kilometres along the current in 15 minutes. How long will it take him to go 7 kilometres in stationary water? 

1. 1 hour 15 minutes 

2. 1 hour 20 minutes 

3. 1 hour 10 minutes 

4. 1 hour 5 minutes 

Q.35 At 7: 30 P.M. the owner of a Cycle noticed that a thief is taking away his cycle from his home and is cycling in a particular direction at an estimated speed of 10 km per hour. He informed the police about the theft and the policeman started from the same point, half an hour later than the time of the theft but with a speed of 12 km per hour. At what time will Policeman catch the thief? 

1. 10:45 P.M. 

2. 9: 30 P.M. 

3. 10:00 P.M. 

4. 10:30 P.M. 

Q.36  The pie chart below shows the spendings of a state on various sports during a particular year:

If the total amount spent on sports during the year was ₹75,00,000 then how much (in ₹) was spent on cricket and hockey together?

1. ₹18,75,000 

2. ₹26,80,000 

3. ₹24,75,000 

4. ₹21,55,000

Q.37 In a ΔABC, the bisectors of angle ABC and angle ACB intersect each other at point O. If the angle BOC is 125°, then the angle BAC is equal to: 

1. 75° 

2. 78° 

3. 70° 

4. 82° 

Q.38 Two trains Mumbai Rajdhani and Kissan Express of lengths 850 m and 700 m are 1050 m apart, and are running on parallel tracks towards each other. Mumbai Rajdhani is running at 62 km/h and Kissan Express is running at 55 km/h. In how much time (in sec) will the trains cross each other? 

1. 70 

2. 45 

3. 75 

4. 80 

Q.39 if sin β=1/3, (sec β – tan β) ²  is equal to :  

1. 3/4 

2. 2/3 

3. 1/2  

4. 1/3  

Q.40  A right square pyramid having lateral surface area is 624 cm². If the length of the diagonal of the square is 24 √2, then the volume of the pyramid is:

1. 1150 cm3 

2. 780 cm3 

3. 1083 cm3 

4. 960 cm3 

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