# 10 July 2019 – Afternoon Shift (Quantitative Aptitude)

SSC CHSL (Tier – 1) Online Exam Paper – 2018 “held on 10 JULY 2019”

## Afternoon Shift (Quantitative Aptitude)

Q1. ABCDEFGH is a regular octagon inscribed in a circle with centre at O. The ratio of ∠OAB to ∠AOB  is equal to:

Options:

1. 8 : 3
2. 3 : 2
3. 4 : 3
4. 3 : 1

2. A borrows a sum of Rs. 2000 from his friend B on 31 December 2011 on the condition that he will return the same after one year with simple interest at 8% per annum. However, A get into a position of returning the money on 1 July 2012. How much amount he has to return to B?

Options:

1. 2088
2. 2200
3. 2070
4. 2080

Q3. Θ being an acute angle, it is given that sec2Θ + 4tan2Θ = 6. What is the value of Θ ?

Options:

1. 0°
2. 45°
3. 60°
4. 30°

Q4. If a + b – c = 12 and a2 + b2 + c2 = 110, then which among the following relations is true?

(p) ab + bc + ca = 34,
(q) ab + bc – ca = 17,
(r) ab – bc + ca = 17,
(s) ab – bc – ca = 17

Options:

1. (s)
2. (q)
3. (p)
4. (r)

Q5. Fill in the Blank.
The average of first 101 _______ numbers is equal to 102.

Options:

1. even
2. odd
3. perfect square
4. natural

Q6. By selling an article for Rs. 144, a shopkeeper loses 28%. What should be the selling price for bringing down the loss to 14%?

Options:

1. 172
2. 180
3. 176
4. 178

Q7. a1/3 + b1/3 + c1/3 = 0, then (a + b + c)6 is equal to:

Options:

1. 81 a2b2c2
2. 729 abc
3. 729 a2b2c2
4. 81 abc

Q8. Which among the following number is exactly divisible by 11, 13 and 7?

(a) 624613
(b) 624624
(c) 624635
(d) 624646

Options:

1. (d)
2. (b)
3. (a)
4. (c)

Q9. A shopkeeper normally allows a discount of 10% on the marked price of each article. During a sale season, he decides to give two more discounts, the first being at a rate of 50% of the original and the second at a rate of 40% of the first. What is the percentage rate of the equivalent single discount?

Options:

1. 13.27
2. 16.21
3. 11.25
4. 14.85

Q10. Rs. 10,000/- has to be distributed among 3 craftsmen, 5 helpers and 6 labourers such that each helper receives the amount twice as much as a labourer receives and each craftsman receives the amount thrice as much as a labourer receives. What is the amount received by the three craftsmen?

Options:

1. 4000
2. 2400
3. 2700
4. 3600

Q11. The price of sugar got raised by 25%. To maintain the same level of expenses on sugar, a person reduced the consumption of sugar by 4% and also increased his expenditure on sugar by x%. The value of x is:

Options:

1. 21
2. 19.5
3. 20
4. 18

12. If a + 1/a, the the value of (a6 + 1/a6) is equal to:

Options:

1. 319
2. 780
3. 730
4. 322

Q13. A book has been co-authored by X and Y. The prices of the book in India and abroad are Rs. 800 and Rs. 1000 respectively. The royalties earned on sale in India and abroad are 10% and 16% respectively. The royalty amount is distributed among X and Y in the ratio 5 : 3. The given Bar graph presents the number of copies of the book sold in India (A) and abroad (B) during 2012-2016). What is the difference between the royalties earned by X and Y during the years 2014 and 2015 taken together?

Options:

1. 57000
2. 57550
3. 41250
4. 41340

Q14. What is the simplified value of sin321°+ cos319°/sin21°+ cos19°+ sin620°+ sin271°+ 1/sin69°cosec71°is:

Options:

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

Q15. The simplified value of 1/2 of 8/5 ÷{11/5 -(5/16 + 3/5 x 15/8 ÷ 2/3)} is:

Options:

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

Q16. Which among the following is an irrational quantity?

(a) tan30°tan60°
(b) sin 30°
(c) tan 45°
(d) cos 30°

Options:

1. (b)
2. (d)
3. (a)
4. (c)

Q17. It is given that the area of a triangle is A. The values of its perimeter, in radius, circumradius and the average of the lengths of the medians are respectively, p, r, R and d. The ration A : p is equal to:

Options:

1. r : 1
2. (R : r)2 : d
3. r : 2
4. (R – r)2 : r

Q18. Equilateral triangles are drawn on the hypotenuse and one of the perpendicular sides of a right-angled isosceles triangles. Their areas are H and A respectively. A/H is equal to:

Options:

1. 1/4
2. 1/√2
3. 1/2
4. 1/2√2

Q19. Given that the lengths of the paths of a ball thrown with different speeds by two boys are the same, if they take 0.6 sec and 1 sec respectively to cover the said length, what is the average speed of travel for the first throw, if the same for the second is 96 km/hr?

Options:

1. 100 km/hr
2. 150 km/hr
3. 160 km/hr
4. 120 km/hr

Q20. A book has been co-authored by X and Y. The prices of the book in India and abroad are Rs. 800 and Rs. 1000 respectively. The royalties earned on sale in India and abroad are 10% and 16% respectively. The royalty amount is distributed among X and Y in the ratio 5 : 3. The given Bar graph presents the number of copies of the book sold in India (A) and abroad (B) during 2012-2016). What is the total amount of royalty paid to the author during the years 2012, 2013 and 2016?

Options:

1. 272000
2. 273400
3. 316000
4. 271600

Q21. Twelve sticks, each of length 1 unit, are used to form a right – angled triangle. The area of the triangle is:

Options:

1. 6 sq units
2. 4 sq units
3. 10 sq units
4. 8 sq units

Q22. If 40 men working 12 hrs a day can complete a work in 8 days, then how many men working 4 hrs a day can complete the same work in 16 days?

Options:

1. 54
2. 60
3. 45
4. 50

Q23. A book has been co-authored by X and Y. The prices of the book in India and abroad are Rs. 800 and Rs. 1000 respectively. The royalties earned on sale in India and abroad are 10% and 16% respectively. The royalty amount is distributed among X and Y in the ratio 5 : 3. The given Bar graph presents the number of copies of the book sold in India (A) and abroad (B) during 2012-2016). What is the ratio of royalties earned in the following cases – By X for sale of book in India in 2013 and 2014 and by Y for sale of book in Abroad in 2015 and 2016 ?

Options:

1. 62 : 117
2. 63 : 130
3. 64 :135
4. 65 : 138

Q24. Two circles of diameters 2 cm and 5.6 cm are such that the distance between their centre is 8.2 cm. What is the length of a common tangent to the circles that does not intersect the line joining the centre?

Options:

1. 8 cm
2. 7.2 cm
3. 6.4 cm
4. 8.4 cm

Q25. A book has been co-authored by X and Y. The prices of the book in India and abroad are Rs. 800 and Rs. 1000 respectively. The royalties earned on sale in India and abroad are 10% and 16% respectively. The royalty amount is distributed among X and Y in the ratio 5 : 3. The given Bar graph presents the number of copies of the book sold in India (A) and abroad (B) during 2012-2016). What is the total numbers of the copies of the book sold in India during 2012-2015?

Options:

1. 1600
2. 1400
3. 1800
4. 2000