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 

Section : Quantitative Aptitude  

Q.1 Study the following pie chart and answer the below question:

How much per cent is more expense on rent than the expense on others?

1. 10%  

2. 150%  

3. 50%  

4. 100%  

Q.2 A person sold two cars for ₹60,000 each. On one, he gained 20% while on the other he lost 20%. Find the percentage of his gain or loss.  

1. Gain 4%  

2. Loss 4%  

3. Loss 2%  

4. No profit and no loss

Q.3 The LCM of 96, 132 and 438 is:  

1. 86084  

2. 67055  

3. 85046  

4. 77088  

Q.4 Three candidates contested an election and won 1136, 7636 and 11628 votes, respectively. What percentage of the total votes did the winning candidate get?  

1. 45  

2. 49  

3. 33  

4. 57  

Q.5 Ram has 12 hens and 5 cows, Shyam has 18 hens and 9 cows, Preetham has 4 hens and 8 cows, and Vinay has 10 hens and 7 cows. Who has a greater ratio of hens to cows?  

1. Preetham  

2. Shyam  

3. Ram  

4. Vinay  

Q.6 A sphere and another solid hemisphere have the same surface area. The ratio of their volumes is:  

1. 2√3 : 8 

2. 3√3 : 8 

3. 3√3 ; 4 

4. √3 : 4 

Q.7  The curved surface area of a solid cylinder of height 15 cm is 660 cm³. What is the volume (in cm³) of the cylinder? (Take π = 22/7)

1. 2060  

2. 2540  

3. 2310  

4. 3210  

Ans : 3 

Q.8 The total surface area of a cone whose radius is 3 cm and height is 4 cm is:  

Q.9 Julie and Soma start from the same point and walk in opposite directions. Julie walks 4 km/h faster than Soma. After 4 hours they are 40 km apart. How fast did each walk?  

1. Julie – 8 km/h; Soma – 4 km/h  

2. Julie – 7 km/h; Soma – 3 km/h  

3. Julie – 9 km/h; Soma – 5 km/h  

4. Julie – 10 km/h; Soma – 6 km/h  

Q.10 Arbind has 650 kg of wheat. A part of which he sells at 9% profit and the rest at 19% profit to get 15% profit on the whole. What is the quantity (in kg) of wheat sold by Arbind at 9% profit?  

1. 260  

2. 195  

3. 455  

4. 390  

Q.11 What is the LCM of 0.15, 0.18 and 0.45?  

1. 0.9  

2. 0.09  

3. 0.81  

4. 0.6  

Q.12 A train of length 180 m takes 40 seconds to cross a tunnel of length 500 m. What is the speed of the train, in km/h?  

1. 71.2  

2. 61.2  

3. 80.5  

4. 52.5  

Q.13  

1. 2  

2. 4  

3. 3  

4. 1  

Q.14 Which of the following ratios is the greatest?  

1. 2 : 5  

2. 7 : 10  

3. 5 : 6  

4. 1 : 3  

Q.15 Find the LCM of 20, 30, 45 and 65.  

1. 2000  

2. 2340  

3. 2240  

4. 180

Q.16 The greatest possible length that can be used to measure exactly the lengths of 3 m 15 cm, 5 m, and 6 m 85 cm is:  

1. 9 cm  

2. 11 cm  

3. 7 cm  

4. 5 cm  

Q.17 

1. 7  

2. 9  

3. 6  

4. 8  

Q.18 The difference between a discount of 30% on ₹5,000 and two successive discounts of 15% and 25% on the same amount is:  

1. ₹315.50  

2. ₹350.50  

3. ₹312.50  

4. ₹412.50  

Q.19 Two circles with centres P and Q of radii 6 cm and 4 cm, respectively, touch each other internally. If the perpendicular bisector of PQ meets the bigger circle in A and B, then the value of AB is:  

1. √ 5 cm 

2. 2 √35 cm 

3. √ 35 

4. 2√ 5 cm 

Q.20 The monthly income of an employee was ₹26,500 and his monthly expenditure was ₹22,000. Next year his income increased by 20% and his expenditure increased by 15%. Find the percentage increase in his savings.