# Staff Selection Commission

## Exam Paper SSC CGL 2016 : Held on 29-08-2016

## Quantitative Aptitude (Evening Shift)

**51.If the sum of a
number and its reciprocal be 2, then the number is**

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

**Correct Answer:** 1

**52.The area of a
rectangle in 60 cm2 and its perimeter is 34 cm, then the length of the diagonal
is**

**Options:****1**) 17cm**2**) 11cm**3**) 15cm**4**) 13cm

**Correct Answer:** 13cm

**53.A cloth merchant has
announced 25% rebate in prices. If one needs to have a rebate of ₹ 40, then how
many metres of cloth costing ₹ 32 per metre he should purchase.**

**Options:****1**) 6m**2**) 5m**3**) 10m**4**) 7m

**Correct Answer:** 5m

**54. A profit of Rs. 960
is divided between A and B in the ratio 1/3:1/2. The difference of their profit
is :**

**Options:****1**) Rs.120**2**) Rs.160**3**) Rs.180**4**) Rs.240

**Correct Answer:** Rs.240

**55.The average monthly
salary of 19 members of a group is Rs. 16000. If one more members whose monthly
salary is Rs. 20000 has joined the group, then the average salary of the group
is**

**Options:****1**) Rs.18250**2**) Rs.16200**3**) Rs.18000**4**) Rs.16250

**Correct Answer:** Rs.16200

**56.A T.V was sold at a
profit of 5% If it had been sold at a profit of 10% , the profit would have been
Rs. 1000 more. What is its cost price ?**

**Options:****1**) Rs.20000**2**) Rs.5000**3**) Rs.10000**4**) Rs.15000

**Correct Answer:** Rs.20000

**57.The price of an
article is decreased by 10%. To restore it to its former value, the new price
must be increased by :**

**Options:**

**1**)

**2**) 10%

**3**) 11%

**4**)

**Correct Answer:** 4

**58.A moving train
passes a platform 50m long in 14 seconds and a lamp post in 10 seconds. The
speed of the train (in km/h) is :**

**Options:****1**) 24**2**) 36**3**) 40**4**) 45

**Correct Answer:** 45

**59.If x ^{2} +
1/x^{2} =
2, then the value of x - 1/x is**

**Options:**

**1**) -2

**2**) 0

**3**) 1

**4**) -1

**Correct Answer:** 0

60.

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

**Correct Answer:** 3

**61.A chord of length 16
cm is drawn in a circle of radius 10 cm. The distance of the chord from the
centre of the circle is**

**Options:****1**) 8cm**2**) 6cm**3**) 4cm**4**) 12cm

**Correct Answer:** 6cm

**62.An angle in a
semicircle is**

**Options:****1**) 45°**2**) 60°**3**) 90°**4**) 120°

**Correct Answer:** 90°

**63.If x = a cosθ+ b
sinθ and y = b cosθ- a sinθ, then x2 + y2 is equal to**

**Options:****1**) ab**2**) a2+b2**3**) a2-b2**4**) 1

**Correct Answer:** a2+b2

**64.A can do a work in
12 days while B can do it in 15 days. They undertake to complete it together for
Rs. 450. what will be the share of A in this amount of money ?****Options:****1**) Rs.200**2**) Rs.240**3**) Rs.250**4**) Rs.300

**Correct Answer:** Rs.250

**65.If x = √2+1, then
the value of x4-1/x4 is****Options:****1**) 8√2**2**) 18√2**3**) 6√2**4**) 24√2

**Correct Answer:** 24√2

**66.If 9x ^{2} +
16y^{2} =
60 and 3x + 4y = 6, then the value of xy is**

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

**Correct Answer:** -1

**67.If in ΔABC, DE ||BC,
AB = 7.5cm, BD = 6cm and DE = 2cm, then the length of BC in cm is :**

**Options:****1**) 6**2**) 8**3**) 10**4**) 10.5

**Correct Answer:** 10

**68. Suppose that the
medians BD, CE and AF of a triangle ABC meet at G. Then AG: GF is**

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

**Correct Answer:** 2:1

**69.**

**Options:****1**) 60°**2**) 45°**3**) 30°**4**) 35°

**Correct Answer:** 60°

**70.A sum of Rs. 2000
amounts to Rs. 4000 in two years at compound interest. In how many years does
the same amount becomes Rs. 8000.**

**Options:****1**) 2**2**) 4**3**) 6**4**) 8

**Correct Answer:** 4

**71.Two ships are
sailing in the sea on the two sides of a light house. The angle of elevation of
the top of the light house as observed from the two ships are 30° and 45°
respectively. If the light house is 100m high, the distance between the two
ships is :(take √3=1.73)****Options:****1**) 173m**2**) 200m**3**) 273m**4**) 300m

**Correct Answer:** 273m

**The following figure
shows the number of students (in thousands) admitted and passed out per year in
a college during years 2000 to 2004. study the figure and answer the questions.**

**72. The percent
increase in the number of students admitted in the year 2003 over that in 2001
is**

**Options:****1**) 133.3**2**) 33.3**3**) 40.3**4**) 66.7

**Correct Answer:** 33.3

**73. During 2000 to
2003, the ratio of the total number fo the students passed out to the total
number of students admitted is**

**Options:****1**) 17/23**2**) 17/6**3**) 11/23**4**) 5/7

**Correct Answer:** 5/7

**74. In which of the two
years, the pass percentage of students was between 60 to 70 ?**

**Options:****1**) 2000 and 2001**2**) 2003 and 2004**3**) 2001 and 2002**4**) none of these

**Correct Answer:** 2000
and 2001

**75. The ratio of the
number of students admitted in the year 2002 to the average of the number of
students passed out in the years 2003 and 2004. is**

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

**Correct Answer:** 8:9