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# SSC CHSL (Tier - 1) Online Exam Paper - 2019 "held on 21 OCTOBER 2020"Afternoon-Shift (Quantitative Aptitude)

**SSC CHSL (Tier - 1) Online Exam Paper - 2019 "held on 21 October 2020"**

**Afternoon-Shift (Quantitative Aptitude)**

**Q1. In a group of 150 people, ⅖ are men, ⅓ are women and the rest are children. The average age of the women is ⅘ of the average age of the men. The average age of the children is ⅕ of the average age of the men. If the average age of the men is 50 years, then the average age of all the people in the group is:**

**Option:**

1. 35 Years

2. 32 Years

3. 28 Years

4. 36 Years

**Q2. A sum at simple interest becomes two times in 8 years at a certain rate of interest p.a The time in which the same sum will be 4 times at the same rate of interest at simple interet is:**

**Option:**

1. 25 Years

2. 20 Years

3. 30 Years

4. 24 Years

**Q3. The pie-chart shows the percentage-wise distribution of the number of students in five different schools P,Q,R,S and T. The total number of students in all five schools in all five schools together is 10,500.**

**Study the pie-chart and answer the question.**

**The difference between the central angles corresponding to schools T and R is:**

**Option:**

1. 42.8^{o}

2. 44^{o}

3. 43.2^{o}

4. 34.5^{o}

**Q4. If sin ( A-B) = ½ , where A>B>0^{o} and A+B is an acute angle, then the value of A is:**

**Option:**

1. 30^{o}

2. 60^{o}

3. 45^{o}

4. 15^{o}

**Q5. If a ^{3}+b^{3}=62 and a+b = 2, then the value of ab si:**

**Option:**

1. -6

2. 9

3. 6

4. -9

**Q6. The areas of three adjacent faces of a cuboid are 30 cm ^{2},20 cm^{2} and 24 cm^{2}. The volume of the cuboid is:**

**Option:**

1. 200 cm^{3}

2. 120 cm^{3}

3. 180 cm^{3}

4. 150 cm^{3}

**Q7. When a number is divided by 14, the remainder is 9. If the square of the same number is divided by 14, then the remainder will be:**

**Option:**

1. 11

2. 9

3. 8

4. 10

**Q8. In a ∆ABC, ㄥBAC = 90o and AD is perpendicular to BC where D is point on BC. If BD = 4 cm and CD = 5 cm, then the length of AD is equal to:**

**Option:**

1. 5√2 cm

2. 2√5 cm

3. 6 cm

4. 4.5 cm

**Q9. On selling 26 balls for 1,350, there is a loss equal to the cost price of eight balls. The cost price of a ball is:**

**Option:**

1. 60

2. 65

3. 75

4. 70

**Q10. The speed of a train is 220% of the speed of car. The car covers a distance of 950 km in 19 hours. How much distance will the train cover in 3½ hours?**

**Option:**

1. 380 km

2. 385 km

3. 375 km

4. 285 km

**Q11. The circles of same radius 13 cm intersect each other at A and B. If AB = 10 cm, then the distance between their centres is:**

**Option:**

1. 18 cm

2. 12 cm

3. 24 cm

4. 26 cm

**Q12. The value of _{} + _{ } is:**

**Option:**

1. 10

2. 0

3. 1

4. 5

**Q13. The marked price of an article is 25% more than its cost price. If 10% discount is given on the marked price, then what is the profit percentage?**

**Option:**

1. 12.5 %

2. 11.5%

3. 12%

4. 10%

**Q14. If _{} is an acute angel, then the value of _{} is:**

**Option:**

1. 4

2. 3

3. 1

4. 2

**Q15. If sin (θ+30 ^{o}) = _{ }, then the value of θ is equal to:**

**Option:**

1. 15^{o}

2. 60^{o}

3. 30^{o}

4. 45^{o}

**Q16. Study the following graph and answer the given question.**

**The graph shows the time (in minutes) taken by the pipes (A,B),(C,D), (E,F), (G,H) and (P,Q) to fill a tank.**

**Two pipes P and Q are inlet pipes. If they are opened at alternate minutes and if pipe P is opened first, then in how many minutes will the tank be full?**

**Option:**

1. 18 Minutes

2. 30 Minutes

3. 16 Minutes

4. 20 Minutes

**Q17. If _{, then the value of is equal to:}**

**Option:**

_{1. √2}

_{2. √3}

_{3. 3}

_{4. 2}

**Q16. Study the following graph and answer the given question.**

**The graph shows the time (in minutes) taken by the pipes (A,B),(C,D), (E,F), (G,H) and (P,Q) to fill a tank.**

**In how many munutes in an empty tank filled completely if pipe D fills it for half the time and then for the other half time, pipes C and D fill it together?**

**Option:**

1. 18 Minutes

2. 10 Minutes

3. 15 Minutes

4. 12 Minutes

**Q19. In the figure, a circle touches all the four sides of a quadrilateral ABCD whose sides AB=6.5 cm, BC=5.4 cm and CD = 5.3 cm. The length of AD is:**

**Option:**

1. 4.6 cm

2. 5.8 cm

3. 6.2 cm

4. 6.4 cm

**Q20. A is twice as good a workman as B and together they finish a piece of work in 22 days. In how many days will A alone finish the same work?**

**Option:**

1. 30 days

2. 44 days

3. 33 days

4. 11 days

**Q21. What is the third proportional to 16 and 24?**

**Option:**

1. 28

2. 34

3. 32

4. 36

**Q22. The side BC of a triangle ABC is extended to the point D. If ㄥACD = 132 ^{o} and ㄥB = _{} ㄥA, then the measure of ㄥA is equal to:**

**Option:**

1. 60^{o}

2. 50^{o}

3. 84^{o}

4. 80^{o}

**Q23. If √x=√3-√5, then the value of x ^{2}-16+6 is:**

**Option:**

1. 4

2. 0

3. 2

4. -2

**Q24. The pie-chart shows the percentage-wise distribution of the number of students in five different schools P,Q,R,S and T. The total number of students in all five schools in all five schools together is 10,500.**

**Study the pie-chart and answer the question.**

**The number of students in school R is what per cent of the total nimber of students in schools Q and T together?**

**Option:**

1. 40%

2. 35%

3. 25%

4. 30%

**Q25. If the price of an eraser is reduced by 25%, a person can buy three more erasers for 2. How many erasers can be bought for 2 as the original price?**

**Option:**

1. 10

2. 8

3. 9

4. 12