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

Afternoon-Shift (Quantitative Aptitude)

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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 a³+b³=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 cm²,20 cm² and 24 cm². The volume of the cuboid is:

Option:

1. 200 cm³

2. 120 cm³

3. 180 cm³

4. 150 cm³

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 x²-16+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