# SSC CHSL (Tier - 1) Online Exam Paper - 2016 "held on 07 January 2017" Morning Shift (Quantitative Aptitude)

## SSC CHSL (Tier - 1) Online Exam Paper - 2016 "held on 07 January 2017" Morning Shift (Quantitative Aptitude)

**QID : 51 **- In ΔABC, D and E are points on side AB and AC respectively. DE is parallel to BC. If lengths of AD, DB and DE are 10 cm, 5 cm and 6 cm respectively. What is the length of BC?

**Options:**

**1**) 9 cm

**2**) 2 cm

**3**) 3 cm

**4**) 11 cm

**Correct Answer: **9 cm

**QID : 52 **- If 2x - 1 < 5x + 2 and 2x + 5 < 6 - 3x, then x can take which of the following values?

**Options:**

**1**) 1

**2**) 0

**3**) 2

**4**) -2

**Correct Answer: **0

**QID : 53 **- A carpenter can build a cupboard in 60 hours. After 15 hours he takes a break. What fraction of the cupboard is yet to be built?

**Options:**

**1**) 0.5

**2**) 0.9

**3**) 0.75

**4**) 0.25

**Correct Answer: **0.75

## Printed Study Kit for SSC CHSL (10+2) Exam

## एसएससी - सीएचएसएल परीक्षा अध्ययन सामग्री

**QID : 54 **- There is 75% increase in an amount in 5 years at simple interest. What will be the compound interest of Rs 40000 after 2 years at the same rate?

**Options:**

**1**) Rs 25800

**2**) Rs 32250

**3**) Rs 12900

**4**) Rs 19350

**Correct Answer: **Rs 12900

**QID : 55 **- Which of the following equations has the sum of its roots as 5?

**Options:**

**1**) x^{2} - 5x + 6 = 0

**2**) x^{2} - 5x - 6 = 0

**3**) x^{2} + 5x + 6 = 0

**4**) x^{2} + 5x - 6 = 0

**Correct Answer: **x2 - 5x + 6 = 0

**QID : 56 **- The base angle of an isosceles trapezium is 45°. If the shorter side and both the equal sides are 10 cm each, what is the area of the trapezium?

**Options:**

**1**) 50√2 + 50 sq cm

**2**) 50√2 + 100 sq cm

**3**) 100√2 + 50 sq cm

**4**) 100√2 + 100 sq cm

**Correct Answer: **50√2 + 50 sq cm

**QID : 57 **- Rahul sells a machine for Rs 50 lakhs at a loss. Had he sold it for Rs 60 lakh, his gain would have been 7 times the earlier loss. What is the cost price of the machine?

**Options:**

**1**) Rs 51.25 lakhs

**2**) Rs 58.75 lakhs

**3**) Rs 67.14 lakhs

**4**) Rs 43.75 lakhs

**Correct Answer: **Rs 51.25 lakhs

**QID : 58 **- If the radius of a circle is increased by 27%, then its area will increase by

**Options:**

**1**) 61.29 percent

**2**) 54 percent

**3**) 27 percent

**4**) 30.645 percent

**Correct Answer: **61.29 percent

**QID : 59 **- If Girilal's salary is 11/7 times of Hariram's and Shekhar's is 3/4 times of Hariram's, what is the ratio of Girilal's salary to Shekhar's salary.

**Options:**

**1**) 44:21

**2**) 28:33

**3**) 33:28

**4**) 21:44

**Correct Answer: **44:21

**QID : 60 **- (cosA + sinA)^{2} + (cosA - sinA)^{2} is equals to

**Options:**

**1**) 1

**2**) 1/2

**3**) 2

**4**) 0

**Correct Answer: **2

**QID : 61 **- If a merchant offers a discount of 20% on the list price, then she makes a loss of 16%. What % proﬁt or % loss will she make if she sells goods at a discount of 10% of the list price?

**Options:**

**1**) 14 percent proﬁt

**2**) 20 percent proﬁt

**3**) 50 percent proﬁt

**4**) 5.5 percent loss

**Correct Answer: **5.5 percent loss

**QID : 62 **- The sum of all prime numbers between 30 and 42 is

**Options:**

**1**) 103

**2**) 109

**3**) 105

**4**) 104

**Correct Answer: **109

**QID : 63 **- The curved surface area of a hemisphere is 2772 sq cm and volume is 19404 cubic cm, what is its radius? (Take π = 22/7)

**Options:**

**1**) 42 cms

**2**) 21 cms

**3**) 10.5 cms

**4**) 31.5 cms

**Correct Answer: **21 cms

**QID : 64 **- If cosC - cosD = x, then value of x is

**Options:**

**1**) 2sin[(C+D)/2]cos[(C-D)/2]

**2**) 2cos[(C+D)/2]sin[(C-D)/2]

**3**) 2sin[(C+D)/2]sin[(D-C)/2]

**4**) 2cos[(C+D)/2]cos[(C-D)/2]

**Correct Answer: **2sin[(C+D)/2]sin[(D-C)/2]

**QID : 65 **- The value of x for which the expressions 12 - 6x and 4x + 2 become equal is

**Options:**

**1**) 0

**2**) 2

**3**) 1

**4**) 4

**Correct Answer: **1

**QID : 66 **- Δ DEF and Δ GHI are similar triangles. Length of DE is 4 cm and length of the corresponding side GH is 9 cm. What is the ratio of areas of

**Options:**

**1**) 81:16

**2**) 4:9

**3**) 16:81

**4**) 9:4

**Correct Answer: **16:81

**QID : 67 **- To travel 816 km, an Express train takes 9 hours more than Rajdhani. If however, the speed of the Express train is doubled, it takes 4 hours less than

Rajdhani. What is the speed of Rajdhani?

**Options:**

**1**) 48 km/hr

**2**) 62.8 km/hr

**3**) 33.2 km/hr

**4**) 77.5 km/hr

**Correct Answer: **48 km/hr

**QID : 68 **- What would be the equation of the line, which intercepts x-axis at -5 and is perpendicular to the line y = 2x + 3?

**Options:**

**1**) x - 2y = -5

**2**) x + 2y = 5

**3**) x + 2y = -5

**4**) x - 2y = 5

**Correct Answer: **x + 2y = -5

**QID : 69 **- If 4pxy = (x + 2y)^{2} - (x - 2y)^{2}, then what will be the value of p?

**Options:**

**1**) 0.5

**2**) 0.25

**3**) 4

**4**) 2

**Correct Answer: **2

**QID : 70 **- In the ﬁrst 26 overs of a cricket match, the run rate was 5.4 runs/over. What is the required run rate in the remaining 24 overs to reach the target of 294 runs?

**Options:**

**1**) 7

**2**) 6.4

**3**) 7.6

**4**) 5.8

**Correct Answer: **6.4

**QID : 71 **- What is the value of tan -5π/6?

**Options:**

**1**) -1/√3

**2**) 1/√3

**3**) √3

**4**) -√3

**Correct Answer: **1/√3

**QID : 72 **-

**Options:**

**1**) 3920004

**2**) 220000

**3**) 228000

**4**) 435556

**Correct Answer: **435556

**QID : 73 **-

**Options:**

**1**) 2013 & 2014

**2**) 2013 & 2015

**3**) 2011 & 2012

**4**) 2014 & 2015

**Correct Answer: **2013 & 2014

**QID : 74 **-

**Options:**

**1**) Proﬁt of Rs 30 crores

**2**) Loss of Rs 20 crores

**3**) Loss of Rs 30 crores

**4**) Proﬁt of Rs 20 crores

**Correct Answer: **Proﬁt of Rs 20 crores

**QID : 75 **-

**Options:**

**1**) 23.46 percent

**2**) 25.96 percent

**3**) 18.46 percent

**4**) 20.96 percent

**Correct Answer: **20.96 percent