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SSC COP SI 4 OCT 2023 Shift 1

Exam Date 04/10/2023 Exam Time 9:00 AM - 11:00 AM

Quantitative Aptitude

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

Exam Date 04/10/2023 

Exam Time 9:00 AM - 11:00 AM 

 

Q.21 The table below shows the number of students commuting to school by different modes of transport:  

 

Which mode of transport is used by maximum number of students?  

1. Bicycle  

2. Walking  

3. Other vehicles  

4. School bus  

Ans : 1. Bicycle  

Q.22 A boat covers a distance of 72 km downstream in 6 hours, while it takes 12 hours to cover the same distance upstream. What is the speed of the boat in still water?  

1. 6 km/h  

2. 9 km/h  

3. 10 km/h  

4. 8 km/h  

Ans : 2. 9 km/h  

Q.23 Simplify : $ 5 \frac{1}{3}-\left\{4 \frac{1}{3}+\left(3 \frac{1}{3} \div \overline{2 \frac{1}{3}-\frac{1}{3}}\right)\right\} $  

1. 2/3 

2. 1/3 

3. -1/3 

4.  – 2/3 

Ans : 4.  

Q.24 Simplify : $ \frac{1-\frac{3}{7} \div \frac{9}{49} \times \frac{3}{14}}{1+\frac{3}{5} \div \frac{1}{25} \times \frac{1}{30}} $ 

1. 1/7 

2. 1/6 

3. 1/3 

4. 1/5 

Ans : 3.  

Q.25 In an election between two candidates, 80% of the voters cast their votes, out of which 5% votes were declared invalid. A candidate got 9500 votes which were 80% of the valid votes. Find the total number of voters enrolled in that election.  

1. 14780  

2. 15100  

3. 15625  

4. 16100  

Ans : 3. 15625  

Q.26 An inlet pipe can fill an empty tank in 3.6 hours, while an outlet pipe can drain a completely-filled tank in 6.3 hours. If both the pipes are opened simultaneously when the tank is empty, in how many hours will the tank get completely filled?  

1. 9.0  

2. 8.4  

3. 8.1  

4. 8.7  

Ans : 2. 8.4  

Q.27 Avi sold a house to Bhargav at a gain of 10% and Bhargav sold it to Chetan at a gain of 20%. If Chetan paid ₹2,64,00,000 for it, then at what price must Avi have purchased it?  

1. ₹2,00,00,000  

2. ₹2,30,00,000  

3. ₹2,50,00,000  

4. ₹1,75,00,000  

Ans : 1. ₹2,00,00,000  

Q.28 The pie chart 1 given below shows the runs scored by a player against 6 difi'erent countries during 2019-2020. Pie chart 2 shows the runs scored by the same player against the same 6 countries during 2020-2021. 

  

Find the difference between the total runs scored against New Zealand and Pakistan during 2019-2020 and the total runs scored against Sri Lanka and Pakistan during 2020-2021. 

1. 500  

2. 600  

3. 650  

4. 550  

Ans : 4. 550  

Q.29 . . 256 

Find the total surface area of a sphere whose volume is 256/3 π cm ³.  

1.  48 π cm²  

2. 64 π cm² 

3. 38 π cm² 

4. 56 π cm² 

Ans : 2.  

Q.30 If k(tan 45° sin 60°) = cos 60 ° cot 30 ° , then the value of k is:  

1. 1 

2. 2 

3. 1/√3 

4. √ 3 

Ans : 1.  

Q.31 An inspector is 288 metres behind a thief. The inspector runs 42 metres and the thief runs 30 metres in a minute. In how much time will the inspector catch the thief?  

1. 24 minutes  

2. 19 minutes  

3. 21 minutes  

4. 20 minutes  

Ans : 1. 24 minutes  

Q.32 Three boys, on an average, are 25 years old, and their age are in the ratio of 3 : 5 : 7. What is the age of youngest boy'?  

1. 24 years  

2. 21 years  

3. 12 years  

4. 15 years  

Ans : 4. 15 years  

Q.33 Two numbers are in the ratio 12:7. If their HCF is 25, find the numbers.  

1. 225, 135  

2. 300, 175  

3. 300, 50  

4. 175, 120  

Ans : 2. 300, 175  

Q.34 A dealer sells his goods at 10% loss on the cost price but uses 25% less weight. What is his profit percentage?  

1. 35% 

2. 20% 

3. 25% 

4. 15% 

Ans : 2.  

Q.35 A and B undertake a project worth ₹36,000. A alone can do the work in 25 days. They worked together for 5 days. For the next five days, B worked alone. After that, A substituted B and completed the remaining work in 5 days. The share of A in the earnings is:  

1. ₹14,400 

2. ₹21,400 

3. ₹14,400 

4. ₹21,600 

Ans : 1.  

Q.36 A shopkeeper has a sale of ₹5,445, ₹5,937, ₹5,865 and ₹6,562 for 4 consecutive days. If he gets an average sale of ₹6,050 for 5 days, then his sale on the fifth day is:  

1. ₹6,131  

2. ₹6,341  

3. ₹6,441  

4. ₹6,231  

Ans : 3. ₹6,441  

Q.37 Study the given table and answer the question that follows. The data given in the table is for the month of December 2022.  

 

What is the difference between the number of male employees in company P and that in company R?  

1. 592  

2. 578  

3. 605  

4. 580  

Ans : 2. 578  

Q.38 The following table shows the mobile-addicted population of four different cities Hyderabad, Mumbai, Chennai, and Pune, and the ratio of males to females among them. 

  

Find the total number of addicted males in Chennai. 

1. 1,10,000  

2. 80,000  

3. 1,00,000  

4. 1,20,000  

Ans : 1. 1,10,000  

Q.39 A company is manufacturing boxes of three types – plastic, wood and glass. The ratio of the numbers of plastic, wood and glass boxes is 2 : 3 : 5. The difference between the numbers of wood and glass boxes is 144. If the number of plastic boxes is increased by 25%, then what will be the number of plastic boxes now?  

1. 144  

2. 360  

3. 216  

4. 180  

Ans : 4. 180  

Q.40 The fraction equivalent to 1/5 % is:  

1. 1/125 

2. 1/200 

3. 1/40 

4. 1/500 

Ans : 4.  

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