SSC CHSL (Tier – 1) Online Exam Paper – 2018 “held on 02 JULY 2019”

Afternoon-Shift (Quantitative Aptitude)

**Q1. The given Bar graph presents the number of students from Science and Arts streams from a school in different years.**

**What is the ratio of the total number of Science students in 2011 and 2015 to that of Arts in 2012 and 2015?**

Options:

1. 12:13

2. 8:9

3. 11:12

4. 9:10

**Correct Answer: 12:13**

Q2. **The given Bar graph presents the number of students from Science and Arts streams from a school in different years.**

**In which year the number of Arts students is 30% more than that of Science?**

Options:

1. 2012

2. 2014

3. 2013

4. 2011

**Correct Answer: 2012**

Q3. The curved surface area and the volume of a cylindrical pole are 132m^{2 }and 528m^{3}, respectively. What is the height of the pole?

Options:

1. 5/2

2. 21/8

3. 29/8

4. 7/2

**Correct Answer: 21/8**

Q4. If 3sinΘ = 2cos^{2} Θ, 0°<Θ<90°, then find the value of (tanΘ+cosΘ+sinΘ) is :

Option:

1. 5√3/2

2. 5√3/6

3. 3 + 5√3/6

4. 3 + 5√3/3

**Correct Answer: 3 + 5√3/6**

Q5. **The given Bar graph presents the number of students from Science and Arts streams from a school in different years.**

**The total number of Arts students in 2011, 2013 and 2015 is what percentage less than that of Science in the given five years?**

Options:

1. 34.2%

2. 32.8%

3. 33.6%

4. 31.4%

**Correct Answer: 33.6%**

Q6. If cosec 31° = x, then sin^{2} 59° + 1/cosec^{2 }31° + tan^{2} 59° – 1/sin^{2 }59° cosec^{2 }59° is equal to:

Options:

1. x^{2} – 1

2. x + 1

3. x – 1

4. x^{2} + 1

**Correct Answer: x ^{2} – 1**

Q7. The simplified value of {[sin^{2} 25° + sin^{2} 65° / cos^{2} 24° + cos^{2} 66°] + sin^{2} 71° + cos^{2} 71°sin 19°]} is:

Options:

1. 2

2. 0

3. 1

4. 3

**Correct Answer: 2**

Q8. The ratio of the present ages of A and B is 6 : 5. Four year ago, this ratio was 5 : 4. What will be the ratio of the ages of A and B after 12 years from now?

Options:

1. 7 : 6

2. 9 : 8

3. 8 : 7

4. 3 : 2

**Correct Answer: 9 : 8**

Q9. PAT is a tangent to a circle at point A on it, and AB is a chord such that ∠BAT = 72° . If C is a point on the circle such that ∠CBA = 58° , then what is the measure of ∠CAB?

Options:

1. 60°

2. 62°

3. 48°

4. 50°

**Correct Answer: 50°**

Q10. When an article is sold for Rs. 291 there is a loss of 3%. What will be the selling price of the article, if it is sold at a gain of 8%?

Options:

1. 332

2. 324

3. 316

4. 308

**Correct Answer: 324**

Q11. If the nine-digit number 8175x45y2 is divisible by 72, then the value of √4x + y, for the largest value of y, is:

Options:

1. 4

2. 6

3. 5

4. 8

**Correct Answer: 5**

Q12. If a + b + c = 4 and ab + bc + ca = 1, then the value of a^{3 }+ b^{3} + c^{3} – 3abc is:

Options:

1. 47

2. 52

3. 50

4. 60

**Correct Answer: 52**

Q13. If 24√3x^{3} + 2√2y^{3} = (2√3x + √2y) (Ax^{2 }+ Bxy + Cy^{2 }) then 2A + √6B – C) is equal to :

Options:

1. 14

2. 6

3. 8

4. 10

**Correct Answer: 10**

Q14. A sum of Rs. 7500 amounts of 8748 after 2 year at a certain compound interest rate per annum. What will be the simple interest on the same sum for 32/5 year at double the earlier interest rate?

Options:

1. 8180

2. 4140

3. 5520

4. 2760

**Correct Answer: 5520**

Q15. A, B and C can finish a task in 42 days, 84 days and 28 days, respectively. A started the work, B joined him after 3 Days. If C joined them after 5 days from the beginning, then for how many days did A work till the completion of the task?

Options:

1. 18

2. 20

3. 17

4. 15

**Correct Answer: 17**

Q16. The value of 3 x 2 ÷ 3 of 12 – 3 ÷ 2 x (2-3) x 2 + 3 ÷ 2 of 3 is:

Options:

1. 11/3

2. -7/3

3. 7/3

4. -11/3

**Correct Answer: 11/3**

Q17. In ▲ABC, the bisectors ∠B and ∠C intersect each other at a point D. If ∠BDC = 104°, then the measure of ∠A is :

Options:

1. 26°

2. 26°

3. 30°

4. 32°

**Correct Answer: 26°**

Q18. The vertices A, B, C and D of a quadrilateral ABCD lie on a circle. ∠A is thrice ∠C and ∠D is twice ∠B. What is the difference between the measures of ∠B and ∠C?

Options:

1. 18°

2. 15°

3. 28°

4. 20°

**Correct Answer: 15°**

Q19. In a class of 80 students, 60% participate in games and the rest do not. The average weight of the former group 5% more than that of the latter. If the average weight of all the students is 103/2 Kg, then what is the average weight of the former group?

Options:

1. 52.5

2. 57.6

3. 60

4. 54.5

**Correct Answer: 52.5**

Q20. In ▲ABC, D and E are the point on sides AC and AB, respectively, such that ∠ADE = ∠B. If AD = 7.6 cm AE = 7.2 cm BE = 4.2 cm and BC = 8.4 cm, then DE is equal to:

Options:

1. 6.3 cm

2. 5.6 cm

3. 7.4 cm

4. 5.8 cm

**Correct Answer: 5.6**

Q21. ABCD is a cyclic quadrilateral such that AB is a diameter of the circle circumscribing it and ∠ADC = 158°. Then ∠BAC is equal to :

Options:

1. 68°

2. 38 °

3. 50 °

4. 40°

**Correct Answer: 68°**

Q22. **The given Bar graph presents the number of students from Science and Arts streams from a school in different years.**

**The average number of Science students in 2011, 2013 and 2015 is what percentage more than the number of Arts student in 2011?**

Options:

1. 102/11%

2. 73/9%

3. 100/9%

4. 100/11%

**Correct Answer: 100/11%**

Q23. Amit travelled from A to B at an average speed of 80 km/hr. He travelled the first 75% of the distance in two-third of the time and the rest at a constant speed of x km/hr. The value of x is:

Options:

1. 64

2. 56

3. 54

4. 60

**Correct Answer: 60**

Q24. In a constituency, 40% of the voters are senior citizens. 40% of the senior citizen voters are illiterates and 25% of the non-senior citizen voter are literates. By what percentage is the number of literate senior citizen voters less than that of illiterate non-senior citizen voters?

Options:

1. 142/3

2. 140/3

3. 50

4. 40

**Correct Answer: 140/3**

Q25. If 1/secΘ-tanΘ – 1/cosΘ x K, 0° < Θ < 90° then K is equal to:

Options:

1. sin Θ

2. cosec Θ

3. cot Θ

4. tan Θ

**Correct Answer: sin Θ**