In this article, we have shared all 25 questions of quantitative aptitude section of SSC CHSL tier-1 exam held on 22 Jan 2017 (evening shift. Go through all of them and solve each of them. If find any difficulty, the proceed to the end of article. There, we have shared solutions for these questions-
Question 1 P and Q can do a project in 12 and 12 days respectively. In how many days can they complete 50% of the project if they work together?
(a) 6 days
(b) 3 days
(c) 18 days
(d) 1.5 days
Question 2 If 4(x + 5) – 3 > 6 – 4x ≥ x – 5; then the value of x is
(a) 2
(b) 1
(c) 3
(d) 4
Question 3 The point R(a,b) is first reflected in origin to R1 and R1 is reflected in x- axis to (-4,2). The coordinates of point R are
(a) (-4, -2)
(b) (-4, 2)
(c) (4, 2)
(d) (4, -2)
Question 4 For triangle PQR, find equation of altitude PS if co-ordinates of P, Q and R are (1, 2), (2, -1) and (0,5) respectively?
(a) x – 3y = -7
(b) x + 3y = -5
(c) x – 3y = -5
(d) x + 3y = -7
Question 5 If sec 300° = x, then value of x is
(a) -√2
(b) 1/√3
(c) 2
(d) -1
Question 6 To cover a distance of 225 km in 2.5 hours what should be the average speed of the car in meters/second?
(a) 90 m/s
(b) 45 m/s
(c) 50 m/s
(d) 25 m/s
Question 7 An angle is greater than its complementary angle by 30°. Find the measure of the angle?
(a) 30°
(b) 90°
(c) 60°
(d) 120°
Question 8 A rice trader buys 8 quintals of rice for Rs 3,600. 10% rice is lost in transportation. At what rate should he sell to earn 15% profit?
(a) Rs 352.1 per quintal
(b) Rs 517.5 per quintal
(c) Rs 575 per quintal
(d) Rs 582.3 per quintal
Question 9 What is the value of (3/5 + 7/9)?
(a) 62/45
(b) 31/28
(c) 5/7
(d) 1/7
Question 10 Marked price of an item is Rs 200. On purchase of 1 item discount is 5%, on purchase of 2 items discount is 14%. Rajeshri buys 3 items, what is the effective discount?
(a) 37 percent
(b) 26.25 percent
(c) 11 percent
(d) 30.2 percent
Question 11 If the radius of a circle is increased by 16%, its area increases by
(a) 34.56 percent
(b) 32 percent
(c) 16 percent
(d) 17.28 percent
Question 12 Expand and simplify (x + 4)2 + (x – 2)2
(a) 2(x2 + 2x + 10)
(b) 2(x2 + 2x - 10)
(c) 2(x2 – 2x + 10)
(d) 2(x2 – 2x – 10)
Question 13 A cone is hollowed out of a solid wooden cube of side 6 cm. The diameter and height of the cone is same as the side of the cube. What is the volume of the remaining cube?
(a) 159.42 cubic cms
(b) 323.15 cubic cms
(c) 106.33 cubic cms
(d) 210.66 cubic cms
Question 14 In Δ ABC, the median AD is 7 cm and CB is 14 cm, measure of ∠CAB is
(a) 30°
(b) 60°
(c) 90°
(d) 120°
Question 15 Among three numbers, the first is twice the second and thrice the third. If the average of three numbers is 198, then what is the difference between the first and the third number?
(a) 216
(b) 297
(c) 661
(d) 431
Question 16 If secA/√(sec2A – 1) = x, then value of x is
(a) tanA
(b) cosecA
(c) sinA
(d) cosA
Question 17 If Gangadhar's salary is 3/11 times of Hari's and Shambhu's is 3/4 times of Hari's, what is the ratio of Gangadhar's salary to Shambhu's?
(a) 44:9
(b) 4:11
(c) 9:44
(d) 11:4
Question 18 If a + b = 8 and ab =15, then a3 + b3 is
(a) 224
(b) 244
(c) 152
(d) 128
Question 19 What is the value of (1 + cotA)2 + (1 cotA)2?
(a) 2cosec2A
(b) 2sec2A
(c) 1 – 2cosec2A
(d) 1 – 2sec2A
Question 20 The sum of twice a number and thrice its reciprocal is 25/2. What is the number?
(a) 7
(b) 6
(c) 5
(d) 4
Question 21 A sum fetched a total simple interest of Rs. 7728 at the rate of 7% per year in 8 years. What is the sum?
(a) Rs 13800
(b) Rs 16560
(c) Rs 11040
(d) Rs 8280
Question 22 Refer the below data table and answer the following Question.
| Number of employees | Annual salary (in lakhs) | Bonus as percent of annual salary |
Manager | 3 | 60 | 30% |
Excecutive | 6 | 12 | 30% |
Trainee | 4 | 4 | 20% |
What is the average bonus (in rupees)?
(a) 606154
(b) 7880002
(c) 253333
(d) 224000
Question 23 Refer the below data table and answer the following Question.
| 2011 | 2012 | 2013 | 2014 | 2015 |
Company A | 3000 | 3000 | 1000 | 2000 | 2000 |
Company B | 5000 | 4000 | 2000 | 3000 | 4000 |
Company C | 3000 | 5000 | 3000 | 4000 | 5000 |
For which of the following pairs of years the total exports from the three Companies together are equal?
(a) 2011 & 2013
(b) 2013 & 2015
(c) 2011 & 2015
(d) 2014 & 2015
Question 24 Refer the below data table and answer the following Question.
Year | Profit or (-Loss) in Rs Crore |
2011 | 5 |
2012 | 15 |
2013 | -20 |
2014 | -15 |
2015 | -5 |
What was the total Profit or loss of the company in last 5 years?
(a) Profit of Rs 20 crores
(b) Loss of Rs 30 crores
(c) Loss of Rs 20 crores
(d) Profit of Rs 30 crores
Question 25 Refer the below data table and answer the following Question.
India’s exports in 2015 | Value in million US$ |
Jewellery | 550 |
Software | 700 |
Cotton | 875 |
Steel | 775 |
Electronics | 550 |
Software was what percent of total exports?
(a) 20.29 percent
(b) 22.79 percent
(c) 25.29 percent
(d) 17.79 percent
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