# SSC CHSL (Tier - 1) Online Exam Paper - 2018 "held on 08 JULY 2019" Evening-Shift (Quantitative Aptitude)

## SSC CHSL (Tier - 1) Online Exam Paper - 2018 "held on 08 JULY 2019"

## Evening-Shift (Quantitative Aptitude)

## Q1. If each side of a rectangle is decreased by 13%, then its area will decrease by:

1. 21.69%

2. 26%

3. 13%

4. 24.31%

**Correct answer: 24.31%**

## Q2. The average age of fifteen persons is 32 years. If two more persons are
added then the average is increased by 3 years.

The new persons have an age difference of 9 years between them. The age (in
years) of the elder among the new persons

is:

Options:

1. 58

2. 50

3. 53

4. 62

**Correct answer: 62**

## Q3.The compound interest on a certain sum of money at 21% for 2 years is 29,282. Its simple interest (in Rs) at the same rate and for the same period is:

Options:

1. 8,400

2. 8,000

3. 8,750

4. 8,500

**Correct answer: 8,400**

## Q4. If cos x = -√3/2 and π<x< 3π/2, then the value of 2cot²x — 3sec²x is:

Options:

1. 4

2. 2

3. 8

4. 6

**Correct answer: 2**

## Q5. The given Bar Graph presents the number of students of two school for six years.

## what is the average (Correct to two decimal places) of total students in schools A and B taken together during the six year period ?

Options:

1. 1331.67

2. 1133.57

3. 1221.67

4. 1122.57

**Correct answer: 1331.67**

## Q6. If x^{4} + x¯^{4} = 47,(x > 0), then the value of
(2x-3)² is:

Options:

1. 5

2. 3

3. 4

4. 2

**Correct answer: 5**

## Q 7. A earns Rs.640 per day and works for 8 hours. B earns Rs.360 per day
and works for 6 hours. The ratio of per day wages of

A to that of B is:

Options:

1. 5:4

2. 16:9

3. 9:16

4. 4:5

**Correct answer: 16:9**

## Q8. The given Bar Graph presents the number of students of two school for six years.

## In which year, the percentage increase in the number of total students in schools A and B taken together is the highest in comparison to its previous year?

Options:

1. 2009

2. 2012

3. 2010

4. 2011

**Correct answer: 2009**

## Q9. The distance between the centres of two circles of radius 3 cm and 2 cm is 13 cm. The length (in cm) of a transverse common tangent is:

Options:

1. 10

2. 6

3. 12

4. 8

**Correct answer: 12**

## Q10. A and B can complete a piece of work in 15 days and 10 days respectively. They got a contract to complete the work for Rs.75000. The share of B (in Rs) in the contracted money will be:

Options:

1. 40,000

2. 35,000

3. 30,000

4. 45,000

**Correct answer: 45,000**

## Q11. Let ∠ABC ∠QPR and ar(∠ABC) / ar(∠PQR) = 4/25. If AB = 12 cm, BC = 8cm and AC = 9 cm, then PR is equal to:

Options:

1. 18

2. 17.5

3. 15

4. 20

**Correct answer: 20**

## Q12. The sum of the salaries of A and B together is Rs 45000. A spends 85% of his salary and B, 70% of his salary. If now their savings are the same, what is B’s salary (in Rs)?

Options:

1. 12,600

2. 30,000

3. 18,000

4. 15,000

**Correct answer: 15,000**

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## Q13. In ∠ABC, the bisectors of ∠B and ∠C meet at O, inside the triangle. If∠BOC = 106°, then the measure of ∠A is:

Options:

1. 84°

2. 106°

3. 32°

4. 16°

**Correct answer: 32°**

## Q14.The ratio between the speeds of two trains is 2 : 5. If the first train
runs 350 km in 5 h, then the difference between the

speeds (in km/h) of both the trains is:

Options:

1. 305

2. 105

3. 180

4. 165

**Correct answer: 105**

## Q15. PA and PB are the tangents to a circle with centre O, from a point P
outside the circle. A and B are the points on the

circle. If ∠APB = 72°, then ∠OAB is equal to:

Options:

1. 18°

2. 36°

3. 72°

4. 24°

**Correct answer: 36°**

## Q16. If a³ +b³ = 1344 and a+b = 28, then (a + b)² - 3ab is equal to:

Options:

1. 32

2. 16

3. 48

4. 24

**Correct answer: 48**

## Q17. If 4(cosec²65° — tan²25°) — sin90° — tan²63°y tan²27° = x then the value of y is:

Options:

1. -1/2

2. -1

3. 2

4. 1

**Correct answer: 2**

## Q18. The given Bar Graph presents the number of students of two school for six years.

## What is the ratio of the number of students taken together for the year 2008, 2012 and 2013 in school A to the number of students taken students taken together for the year 2008, 2012 and 2013 in school B ?

Options:

1. 153:229

2. 229:153

3. 117:101

4. 101:117

**Correct answer: 229:153**

## Q 19. If cot θ =5x and cosec θ = 5/x (x ≠ 0), then the value of 5(x² - 1/x²) is :

Options:

1. 1/5

2. 1/2

3. -1/4

4. -1/5

**Correct answer: -1/5**

## Q20. If x = 2+√5 then the value of (x³ - x¯³) is :

Options:

1. -76

2. 76

3. -52

4. 52

**Correct answer: 76**

## Q21.A dealer buys an article marked at Rs.20000 with two successive discounts of 20% and 5%. He spends Rs.1800 for its repair and sells it for Rs.20000. What is his profit/loss percent (correct to two decimal places) ?

Options:

1. 76.65% loss

2. 17.65% profit

3. 23.46% profit

4. 23.64% loss

**Correct answer: 17.65% profit **

## Q22. A man bought three articles for Rs. 3,000 each. He sold the articles
respectively at 10% profit, 5% profit and 15% loss.

The total percentage profit/loss he earned is:

Options:

1. 10% loss

2. 5% loss

3. No profit no loss

4. 5% profit

**Correct answer: No profit no loss**

## Q23. If the seven digit number 54x29y6 (x>y) is divisible by 72, what is the value of (2x + 3y)?

Options:

1. 38

2. 23

3. 32

4. 13

**Correct answer: 23**

## Q24. The simplified value of 46- 3/4 of 32-6 / 37 - 3/4 of (34-6) is:

Options:

1. 1

2. 19/64

3. 19/16

4. 2

**Correct answer: 1**

## Q 25. The given Bar Graph presents the number of students of two school for six years.

## In which year the sum of the students in two schools is the highest ?

Options:

1. 2011

2. 2012

3. 2008

4. 2009

**Correct answer: 2009**