# 05 July 2019 – Morning-Shift (Quantitative Aptitude)

SSC CHSL (Tier – 1) Online Exam Paper – 2018 “held on 04 JULY 2019”

Morning-Shift (Quantitative Aptitude)

Q1. If 12 cot² θ- 31 cosecθ + 32 = 0, 0° < θ< 90°, then the value of sin will be:

1. 2/3 ,1/4
2. 4/5 ,3/4
3. 5/4 ,4/3
4. 1/3 ,3/2

Q2. A, B and C can complete a piece of work in 5, 20 and 60 days respectively. Working together, they can complete the same work in how many days?

1. 23/4
2. 15/4
3. 13/4
4. 21/4

Q3. A man bought 2 articles for Rs. 3050 each. He sold one article at 10% loss and another at 20% profit. The total profit/loss percentage he earned is:

1. 10% profit
2. 5% loss
3. 10% loss
4. 5% profit

Q4. A number is decreased by 30%, then increased by 30%, then further increased by 30%. What is the net increase/decrease percent in the number (correct to the nearest integer)?

1. 19% increase
2. 18% decrease
3. 19% decrease
4. 18% increase

Q5. 9 years ago, the average age of a family of five members was 33 years. Now, three new members join whose ages are in ascending order with consecutive gaps of 8 years. If the present average age of the family is the same as it was 9 years ago, what is the age (in years) of the youngest new member?

1. 26
2. 29
3. 35
4. 17

Q6.  In triangle ABC, D and E are two points on the sides AB and AC respectively so that DE || BC and AD/BD = 3/4. The ratio of the area of ∠ABC to the area of trapezium DECB is :

1. 96 : 121
2. 121 : 36
3. 121 : 96
4. 36 : 121

Q7. The simplified value of
15 of 8 + 6 +[(27-3) ÷ 6 + 4] is :

1. 128
2. 130
3. 134
4. 136

Q8. If  x4 + X¯4 = 1442, (x>0) then the value of x + x¯ is:

1.  4√10
2. 15
3. ²√10
4. ³√10

Q9. A car covers 25 km at a uniform speed. If the speed had been 8 km/h more, it would have taken 10 hours less for the same journey. What is the speed of the car (in km/h)?

1. 4
2. 2
3. 2.5
4. 3

Q10. The given Bar Graph presents the Imports and Exports of an item (in tonnes) manufactured by a company for the five financial years, 2013-2014 to 2017-2018. In which financial year the percentage increase in Imports and Exports taken together is the highest is the highest in comparison to its previous financial year?

1. 2015 – 2016
2. 2014 – 2015
3. 2016 – 2017
4. 2017 – 2018

Q11. Three numbers are in the ratio 1/2 : 2/3 : 3/4. The difference between the greatest and the smallest number is 27. The smallest number is:

1. 54
2. 40
3. 81
4. 69

Q12. A circle is inscribed in a triangle ABC. It touches sides AB, BC and AC at the points P, Q and R respectively. If BP = 9 cm, CQ = 10 cm and AR = 11 cm, then the perimeter (in cm) of the ∠ABC is:

1. 57.5
2. 75
3. 72.5
4. 60

Q13. Two circles of radii 7 cm and 9 cm intersect at the points A and B. If AB = 10 cm and the distance between the centres of the circle is x cm, then the value of X is:

1. 2(√6 +√7)
2. (√6 + 7)
3. 2(√6 + √14)
4. (√6 +√14)

Q14. If a² + b² = 135 and ab = 11, (a > 0, b > 0) then the value of (a³ + b³) is:

1. 1680
2. 1350
3. 1600
4. 1562

Q15. If (2x – 7)³ + (2x – 8)³ + (2x + 6)³ =
3 (2x – 7) + (2x – 8) + (2x + 6), then what is the value of x?

1. 2
2. 3
3. 4
4. 1

Q16. A certain amount invested at a certain rate, compounded annually, grows to an amount in five years, which is a factor of 1.191016 more than to what it would have grown in three years. What is the rate percentage?

1. 6
2. 8
3. 4
4. 5

Q17. What is the area of a rhombus (in cm²) whose side is 13 cm and the smaller diagonal is 10 cm ?

1. 392
2. 384
3. 350
4. 396

Q18. The given Bar Graph presents the Imports and Exports of an item (in tonnes) manufactured by a company for the five financial years, 2013-2014 to 2017-2018. What is the average of Export (in toones) during the five financial years

1. 1025.9
2. 1279.5
3. 1552.4
4. 1279.6

Q19. There was 25% off on bags. A lady bought a bag and got 20% discount for paying in cash. She paid Rs.480. What was the price tag (in Rs) on the bag?

1. 800
2. 950
3. 750
4. 825

Q20. The given Bar Graph presents the Imports and Exports of an item (in tonnes) manufactured by a company for the five financial years, 2013-2014 to 2017-2018. What is the ratio of total Imports to total  Exports during the five financial years ?

1. 3199 : 3073
2. 4175 : 4011
3. 3073 : 3199
4. 4011 : 4175

Q21. The given Bar Graph presents the Imports and Exports of an item (in tonnes) manufactured by a company for the five financial years, 2013-2014 to 2017-2018. In Which financial year, total of Exports and Imports is the highest ?

1. 2015 – 2016
2. 2014 – 2015
3. 2017 – 2018
4. 2016 – 2017

Q22. If cosθ = 2p / p²+1,(p ≠ 0)then sin is equal to:

1. 2p / p² +1
2. p²+1/ p²-1
3. 2p / p²-1
4. p²-1/2p

Q23. In a ∠ABC, the bisectors of ∠B and ∠C meet at point O within the triangle. If ∠BOC = 148° , then the measure of ∠A is:

1. 58°
2. 116°
3. 87°
4. 29°

Q24. If a 10-digit number 6220x558y2 is divisible by 88, then the value of (5x+5y) is:

1. 55
2. 45
3. 25
4. 20