# Staff Selection Commission

## Exam Paper SSC CGL 2016 : Held on 01-09-2016

## Quantitative Aptitude (Evening Shift)

**Question 51.A, B and C
can work together for Rs. 550/- A and B together are to do 7/11 of the work. The
share of C should be?****Options:****1**) Rs. 200**2**) Rs. 300**3**) Rs. 400**4**) Rs. 450

**Correct Answer:** Rs.
200

**Question 52.In Δ ABC,
the height CD intersects AB at D. The midpoints of AB and BC are P and Q
respectively. If AD = 8 cm and CD = 6 cm, then the length of PQ is?**

**Options:****1**) 3 cm**2**) 7 cm**3**) 9 cm**4**) 5 cm

**Correct Answer:** 5
cm

**Question 53.The price
of a chair is Rs. 500. It has been sold at two succesive discounts of 10% each.
What is its selling price?**

**Options:****1**) Rs. 400**2**) Rs. 405**3**) Rs. 415**4**) Rs. 425

**Correct Answer:** Rs.
405

**Question 54.The percent
profit made when an article is sold for Rs. 78 is twice as much as when it is
sold for Rs. 69, the cost price of the article is?**

**Options:****1**) Rs. 60**2**) Rs. 51**3**) Rs. 55.50**4**) Rs. 70

**Correct Answer:** Rs.
60

**Candidate Answer:** Rs.
51

**Question 55.In a
Village panchayat society 574 names are enlisted as 'below poverty level'. If
14% of the villagers are below poverty level, the total number of villagers is?**

**Options:****1**) 4100**2**) 4200**3**) 4000**4**) 3800

**Correct Answer:** 4100

**Question 56.A train 240
meters in length crosses a telegraph post in 16 seconds. The speed of the train
is?**

**Options:****1**) 50 Km/hr**2**) 52 Km/hr**3**) 54 Km/hr**4**) 56 Km/hr

**Correct Answer:** 54
Km/hr

**Question 57.If a2+1 =
a, then the value of a3 is**

**Options:****1**) 0**2**) 1**3**) -1**4**) 2

**Correct Answer:** -1

Question 58.

**Options:****1**) ⅛**2**) ½**3**) ¼**4**) 4

**Correct Answer:** ⅛

**Question 59.From an
external point two tangents to a circle are drawn. The chord passing through the
points of contact subtends an angle72° at the centre. The angle between the
tangents is?**

**Options:**

**1**) 36°

**2**) 72°

**3**) 108°

**4**) 144°

**Correct Answer:** 108°

**Question 60.Length of
three line segments isgiven. Is construction of a triangle possible with the
segments in the given cases?**

**Options:****1**) 8 cm, 7 cm, 18
cm**2**) 8 cm, 15 cm, 17
cm**3**) 10 cm, 6 cm, 4
cm**4**) 8 cm, 10 cm, 20
cm

**Correct Answer:** 8
cm, 15 cm, 17 cm

**Question 61.If sinθ+
cosecθ=2, then the value of sin-7θ + cosec7θ is**

**Options:****1**) 2^{7}**2**) 2^{-7}**3**) 2**4**) 2^{-1}

**Correct Answer:** 2

**Question 62.A man has
some hens and some cows. If the total number of heads of hens and cows together
is 50 and the nunber of feet of hens and cows together is 142, then the number
of cows is**

**Options:****1**) 21**2**) 25**3**) 27**4**) 29

**Correct Answer:** 21

**Question 63.In a class,
average height of all students is 'a' cms. Among them, average height of 10
students is 'b' cms and the average height of the remaining students is 'c' cms.
Find the number of students in the class. (Here a>c and b>c )**

**Options:****1**) **2**) **3**) **4**)

**Correct Answer:**

Question 64.

**Options:****1**) 0**2**) 1**3**) 5**4**) 6

**Correct Answer:** 0

**Question 65.If (a+b-6)2
+ a2+b2+1+2b = 2ab+2a, then the value of a is**

**Options:****1**) 7**2**) 6**3**) 3.5**4**) 2.5

**Correct Answer:** 3.5

**Question 66.Two circles
of radii 17 cm and 8 cm are concentric. The length of a chord of greater circle
which touches the smaller circle is**

**Options:****1**) 15 cm**2**) 16 cm **3**) 30 cm**4**) 34 cm

**Correct Answer:** 30
cm

**Question 67.The least
six digit number which is a perfect square is**

**Options:****1**) 100489**2**) 100000**3**) 100256**4**) 100225

**Correct Answer:** 100489

**Question 68.The
percentage change of a number when it is first decreased by 10% and then
increased by 10% is**

**Options:****1**) 0.1 % increase**2**) 1 % decrease**3**) 0.1 % decrease**4**) No changes

**Correct Answer:** 1 %
decrease

Question 69.

**Options:****1**) 45°**2**) 60°**3**) 30°**4**) 90°

**Correct Answer:** 60°

**Question 70.If 2y cosθ
= x sinθ and 2x secθ - y cosecθ = 3 then what is the value of x2 + 4y2 ?**

**Options:****1**) 4**2**) 1**3**) 2**4**) 5

**Correct Answer:** 4

**Question 71.The
difference between compound interest and simple interest on an amount of Rs.
15,000 for 2 years is Rs. 96. The rate of interest per annum is?**

**Options:****1**) 6%**2**) 7%**3**) 8%**4**) 9%

**Correct Answer:** 8%

**Question 72.In the
given Pie-chart, the comparative study of the production of Rice, Wheat, Sugar
and Tea of a country is given. Study the Pie-Chart and answer the following
questions**

From this diagram, the ratio of sum of wheat and sugar production to difference
in production of rice and tea is

**Options:****1**) 4:5**2**) 5:4**3**) 6:1**4**) 1:6

**Correct Answer:** 4:5

**Question 73.In the
given Pie-chart, the comparative study of the production of Rice, Wheat, Sugar
and Tea of a country is given. Study the Pie-Chart and answer the following
questions**

The production of rice and tea is more/greater than production of wheat by-

**Options:****1**) 50%**2**) 100%**3**) 75%**4**) 66.6%

**Correct Answer:** 100%

**Question 74.In the
given Pie-chart, the comparative study of the production of Rice, Wheat, Sugar
and Tea of a country is given. Study the Pie-Chart and answer the following
questions.**

The Central angle of Wheat % is

**Options:****1**) 48°**2**) 98°**3**) 110°**4**) 108°

**Correct Answer:** 108°

**Question 75.In the
given Pie-chart, the comparative study of the production of Rice, Wheat, Sugar
and Tea of a country is given. Study the Pie-Chart and answer the following
questions.**

The total production of Rice, Wheat, sugar and Tea (In Kgs) is 500000 Kgs. The production of Rice in the country is

**Options:****1**) 175000 Kg**2**) 395000 kg**3**) 275000 Kg**4**) 27500 Kg

**Correct Answer:** 275000
Kg