# SSC CGL (Tier - 1) Online Exam Paper - 2016 "held on 30 August 2016" Afternoon Shift (Quantitative Aptitude)

## SSC CGL (Tier - 1) Online Exam Paper - 2016 "held on 30 August 2016" Afternoon Shift (Quantitative Aptitude)

**EXAM DATE : **30-August-2016**
EXAM START TIME : **13:15:00

**SSC Examination 2016**

EXAM NAME :

EXAM NAME :

**Question 51.36 men together can build a wall 140 m long in 21 days ; the number of men working at the same rate required to build the same wall in 14 days is**

**Options:**

**1**) 54**2**) 48**3**) 36**4**) 18

**Correct Answer:** 54

**Question 52.The perimeters of a square and a rectangle are equal . If their area be 'A' m2 and 'B' m2 then correct statement is**

**Options:**

**1**) A < B**2**) A ≤ B**3**) A > B**4**) A ≥ B

**Correct Answer:** A > B

**Question 53.A man bought a watch for 10% discount.If he had bought for 20% discount he would have got the watch for ₹ 125 less . The marked price of the watch is**

**Options:**

**1**) rs. 2500**2**) rs. 1250**3**) rs. 3750**4**) rs. 1000

**Correct Answer:** rs. 1250

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**Question 54.The compound ratio of the inverse ratios of the ratios x : yz , y : zx , z : xy is : **

**Options:**

**1**) 1 : xyz**2**) xyz : 1**3**) 1: 1**4**) x : yz

**Correct Answer:** xyz : 1

**Question 55.By selling a tape - recorder for ₹ 1040 a man gains 4% . If he sells if for ₹ 950 , his loss will be **

**Options:**

**1**) 5%**2**) 4%**3**) 4.5%**4**) 9%

**Correct Answer:** 5%

**Question 56.What will be the percentage of increase in the area of a square when each of the its sides is increased by 10% ? **

**Options:**

**1**) 20**2**) 11**3**) 121**4**) 21

**Correct Answer:** 21

**Question 57.Every Sunday , Gin jogs3 miles . For the rest of the week , each day he jogs1 mile more than the previous day . How many miles Gin jogs in 2 weeks ? **

**Options:**

**1**) 42**2**) 63**3**) 84**4**) 98

**Correct Answer:** 84

**Question 58.If p ^{3} - q^{3} = ( p - q ) { ( p + q )^{2} - x p q } then the value of x is **

**Options:**

**1**) 1**2**) -1**3**) 2**4**) -2

**Correct Answer:** 1

**Question 59.**

**Options:**

**1**) 2√2 - 1**2**) 1 - 2√2**3**) 1 - √2**4**) -2√2

**Correct Answer:** 1 - 2√2

**Question 60.A rectangle with one side of length 4 cm is inscribed in a circle of diameter 5 cm . Find area of the rectangle**

**Options:**

**1**) 21 cm2**2**) 12 cm2**3**) 4 cm2**4**) 3 cm2

**Correct Answer:** 12 cm2

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**Question 61.ABCD is a cyclic trapezium with AD || BC . If ∠A = 105° , then other three angles are**

**Options:**

**1**) ∠B = 75° , ∠C = 75° , ∠D = 105°**2**) ∠B = 105° , ∠C = 75° , ∠D = 75°**3**) ∠B = 75° , ∠C = 105° , ∠D = 75°**4**) ∠B = 105° , ∠C = 105° , ∠D = 75°

**Correct Answer:** ∠B = 75° , ∠C = 75° , ∠D = 105°

**Question 62.If sec 15θ = cosec 15θ (0° < θ < 10°) then value of θ is**

**Options:**

**1**) 9°**2**) 5°**3**) 8°**4**) 3°

**Correct Answer:** 3°

**Question 63.**

**Options:**

**1**) Y > X > Z**2**) x > y > z **3**) Z > X > Y**4**) X > Z > Y

**Correct Answer:** Z > X > Y

**Question 64.Average runs scored by 11 players of a cricket team is 23 runs . If the first player scored 113 runs . Find the average runs of the remaining players**

**Options:**

**1**) 8 runs**2**) 12 runs**3**) 14 runs**4**) 27 runs

**Correct Answer:** 14 runs

**Question 65.**

**Options:**

**1**) 1**2**) a + b + c**3**) 1/b + 1/b + 1/c**4**) 0

**Correct Answer:** 1

**Question 66.**

**Options:**

**1**) -7/3**2**) 7/3**3**) 3/7**
4**) -3/7

**Correct Answer:** 7/3

**Question 67.The ratio of circumradius and radius of an equilateral triangle is**

**Options:**

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

**Correct Answer:** 2:1

**Question 68.AB is a diameter of the circle with centre O , CD is chord of the circle , If ∠BOC = 120° , then the value of ∠ADC is**

**Options:**

**1**) 42°**2**) 30°**3**) 60°**4**) 35°

**Correct Answer:** 30°

**Question 69.A straight tree breaks due to storm and the broken part bends so that the top of the tree touches the ground making an angle of 30° with the ground . The distance from the foot of the tree to the point , where the top touches the ground is 10 m. Find the total height of the tree?**

**Options:**

**1**) 10√3 m**2**) 10√3 /3 m**3**) 10 ( √3 + 1) m**4**) 10 ( √3 - 1) m

**Correct Answer:** 10√3 m

**Question 70.The compound interest on a certain sum for 2 yearsat 10% per annum isRs. 525 . The simple interest on the same sum for double the time at half the rate percent per annum is :**

**Options:**

**1**) Rs.520**2**) Rs.550**3**) Rs. 500**4**) Rs. 515

**Correct Answer:** Rs. 500

**Question 71.If tan θ = tan 30° . tan 60° and θ is an acute angle , then 2θ is equal to**

**Options:**

**1**) 30°**2**) 45°**3**) 90°**4**) 0°

**Correct Answer:** 90°

**(Question 72-75)**

**Question 72.Study the following Bar graph and answer the question . The Bar Graph gives the annual rates of inflation in percentages for 1975 and 1987.****From 1975 to 1987 , inflation rate increased in the third world countries approximately by **

**Options:**

**1**) 10%**2**) 20%**3**) 30%**4**) 36%

**Correct Answer:** 36%

**Question 73.Study the following Bar graph and answer the question . The Bar Graph gives the annual rates of inflation in percentages for 1975 and 1987.**

**The change in rate of inflation was least in which of the following .**

**Options:**

**1**) Developed Nations**2**) UK**3**) World**4**) Third world

**Correct Answer:** World**Question 74.Study the following Bar graph and answer the question . The Bar Graph gives the annual rates of inflation in percentages for 1975 and 1987.**

**Comparing the figures for USA vis-a-vis the developed nations , it can be concluded that**

**Options:**

**1**) USA had better control on inflation**2**) Developed nations had better control on inflation**3**) The inflation rate continues to be the same for USA and developed nations**4**) No conclusions can be drawn

**Correct Answer:** USA had better control on inflatio

**Question 75.Study the following Bar graph and answer the question . The Bar Graph gives the annual rates of inflation in percentages for 1975 and 1987.****In the year 1987 , the inflation rate in the third world countries vis-a-vis the world jumped approximately by**

**Options:**

**1**) 135%**2**) 126%**3**) 122%**4**) 200%

**Correct Answer:** 126%