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# SSC CGL (Tier - 1) Online Exam Paper - 2016 "held on 29 August 2016" Evening Shift (Quantitative Aptitude)

## SSC CGL (Tier - 1) Online Exam Paper - 2016 "held on 29 August 2016" Evening Shift (Quantitative Aptitude)

**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

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**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