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 Find the value of sin (50 ° + A) - cos (40 ° - A).  

1. 2  

2. 0  

3. −1  

4. 1  

Ans : 2 

Q.22 A sum amounts to ₹7,656 in 4 years and to ₹8,120 in 5 years at a certain simple interest rate per cent per annum. The rate of interest is:  

1. 4%  

2. 3%  

3. 7%  

4. 8%  

Ans : 4 

Q.23   

1. 5√5 

2. 4√5 

3. 2√5 

4. 3√5 

Ans : 3 

Q.24 Vipin can do a piece of work in 2 days; Vaibhav can do the same work in 3 days and Chirag can do the same work in 6 days. If they start working together, how many days will they take to complete the work?  

1. 3  

2. 1  

3. 5  

4. 4  

Ans : 2 

Q.25 Two successive discounts of 30% and 20% are equivalent to a single discount of:  

1. 44%  

2. 52%  

3. 45%  

4. 50%  

Ans : 1 

Q.26  

1.  

2.  

3.  

4.  

Ans : 4 

Q.27 The average of 45 numbers was found to be 39. Later on, it was detected that a number 65 was misread as 56. Find the correct average of the given numbers.  

1. 39.2  

2. 37.2  

3. 38.2  

4. 36.2  

Ans : 1 

Q.28 Robert takes twice as much time as Tom and thrice as much time as George to complete a work. If working together, they can complete it in 23 hours, then find the time that Tom will take to complete the work.  

1. 46 hours  

2. 69 hours  

3. 11 hours  

4. 39 hours  

Ans : 2 

Q.29 Two metallic balls P and Q are such that the diameter of P is four times the diameter of Q. What is the ratio between the volumes of P and Q?  

1. 32 : 1 

2. 16 : 1 

3.  8 : 1 

4. 64 : 1 

Ans : 4 

Q.30 A runner runs a 750-metre race in 54 seconds. Find the runner’s speed (in km/h).  

1. 40  

2. 30  

3. 14  

4. 50  

Ans : 4 

Q.31 Out of two concentric circles, the radius of the outer circle is 6 cm and the chord PQ of the length 10 cm is a tangent to the inner circle. Find the radius (in cm) of the inner circle. Ans  

1. 4 

2. √7 

3. √13 

4. √ 11 

Ans : 4 

Q.32 Simplify the following.  

9 × 2 ÷ 3 of 24 - 3 ÷ 2 × (6 - 7) × 2 + 3 ÷ 3 of 5 

1. 3 

2. 9/20 

3. 4 

4. 69/20 

Ans : 4 

Q.33 What will be the area of a plot of quadrilateral shape, one of whose diagonals is 20 m and lengths of the perpendiculars from the opposite vertices on it are 12 m and 18 m, respectively?  

1. 400 m2  

2. 250 m2  

3. 200 m2  

4. 300 m2  

Ans : 4 

Q.34  

1. 68.5%  

2. 75%  

3. 65%  

4. 72.5%  

Ans : 4 

Q.35  

1. 16.48%  

2. 18.25%  

3. 15.63%  

4. 17.36%  

Ans : 4 

Q.36  

1. A, 2010  

2. B, 2015  

3. B, 2010  

4. A, 2011  

Ans : 3 

Q.37  

1.  

2.  

3.  

4.  

Ans : 2 

Q.38 The following table shows the marks obtained out of 100, by 5 students in 5 different subjects.  

What are the total marks scored by Ayush in all the subjects?  

1. 435  

2. 465  

3. 445  

4. 425  

Ans : 4 

Q.39 A family earns ₹75,000, out of which 10% is saved. 30% of the expenditure is incurred on education, while ₹30,375 is spent on health and the remaining amount is spent on food. What is the percentage of food expenditure to the total income?   

1. 32.5% 

2. 22.5% 

3. 20% 

4. 21.5% 

Ans : 2 

Q.40 Study the given table and answer the question that follows. The table shows the number of employees in five different organisations A, B, C, D and E in different departments.  

Which organisation has maximum number of employees?  

1. A  

2. B  

3. D  

4. E  

Ans : 1