SSC CGL 2016 TIER 1: 30-08-2016 SECOND SHIFT-Quantitative Aptitude

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

EXAM DATE : 30-August-2016

EXAM START TIME : 13:15:00

EXAM NAME : SSC Examination 2016

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

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 p3 - q3 = ( 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

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%

NOTE: 

• SSC CGL 2016 TIER 1: 30-08-2016 SECOND SHIFT-Reasoning
• SSC CGL 2016 TIER 1: 30-08-2016 SECOND SHIFT- ENGLISH
• SSC CGL 2016 TIER 1: 30-08-2016 -GS and GK

2016 SSC CGL Tier -1 31 August 2016 Morning

SSC CGL (Tier - 1) Online Exam Paper - 2016 "held on 31 August 2016" Morning Shift (Quantitative Aptitude)

Question 51.A and B together can do a piece of work in 9 days. If A does thrice the work of B in a given time, the time A alone will take to finish the work is

Options:
1) 4 days
2) 6 days
3) 8 days
4) 12 days

Correct Answer: 12 days

Question 52.The diameters of two cylinders are in the ratio 3:2 and their volumes are equal. The ratio of their heights is

Options:
1) 2:3
2) 3:2
3) 9:4
4) 4:9

Correct Answer: 4:9

Question 53.A trader sold a cycle at a loss of 10%. If the selling price had been increased by Rs. 200, there would have been a gain of 6%. The cost price of the cycle is

Options:
1) Rs.1200
2) Rs.1205
3) Rs.1250
4) Rs.1275

Correct Answer: Rs.1250

Question 54.In a city, 40% of the people are illiterate and 60% are poor. Among the rich, 10% are illiterate. The percentage of the illiterate poor population is

Options:
1) 36
2) 60
3) 40
4) 50

Correct Answer: 60

Question 55.In what time will a 100 metre long train running with a speed of 50 km/hr cross a pillar

Options:
1) 7.0 sec
2) 72 sec
3) 7.2 sec
4) 70 sec

Correct Answer: 7.2 sec

Question 56.

Options:
1) 8
2) 10
3) 12
4) None of these

Correct Answer: 10

Question 57.If l + m + n = 9 and l2 + m2 + n2 = 31, then the value of lm + mn + nl will be

Options:
1) 22
2) 50
3) 25
4) -25

Correct Answer: 25

Question 58.The centroid of a triangle is the point where

Options:
1) the medians meet
2) the altitudes meet
3) the right bisectors of the sides of the triangle meet
4) the bisectors of the angles of the triangle meet

Correct Answer: the medians meet

Question 59.In a triangle PQR, the side QR is extended to S. ∠QPR = 72° and ∠PRS = 110°, then the value of ∠PQR is:

Options:
1) 38°
2) 32°
3) 25°
4) 29°

Correct Answer: 38°

Question 60.In a trapezium ABCD, AB || CD, AB < CD, CD = 6 cm and distance between the parallel sides is 4 cm. If the area of ABCD is 16 cm2, then AB is

Options:
1) 1 cm
2) 2 cm
3) 3 cm
4) 8 cm

Correct Answer: 2 cm

Question 61.If tanθ + cotθ = 5, then the value of tan2 θ+ cot2 θ is

Options:
1) 22
2) 25
3) 23
4) 27

Correct Answer: 23

Question 62.When a number is divided by 56, the remainder will be 29. If the same number is divided by 8, then the remainder will be

Options:
1) 6
2) 7
3) 5
4) 3

Correct Answer: 5

Question 63.If a shop keeper marks his goods for a certain amount so as to get 25% gain after allowing a discount of 20%, then his marked price is

Options:
1) Rs.156.25
2) Rs.146.25
3) Rs.166.25
4) Rs.150.25

Correct Answer: Rs.156.25

Question 64.The average of marks of 17 students in an examination was calculated as 71. But it was later found that the mark of one student had been wrongly entered as 65 instead of 56 and another as 24 instead of 50. The correct average is

Options:
1) 70
2) 71
3) 72
4) 73

Correct Answer: 72

Question 65.The simple interest on a sum for 5 years is two-fifth of the sum. The rate of interest per annum is

Options:
1) 0.1
2) 0.08
3) 0.06
4) 0.04

Correct Answer: 0.08

Question 66.

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

Correct Answer: 0

Question 67.If a - b = 3 and a2 + b2 = 25, then the value of ab is

Options:
1) 16
2) 8
3) 10
4) 15

Correct Answer: 8

Question 68.In ΔABC, ∠B = 70°and ∠C = 60°. The internal bisectors of the two smallest angles of ΔABC meet at O. The angle so formed at O is

Options:
1) 125°
2) 120°
3) 115°
4) 110°

Correct Answer: 125°

Question 69.If θ be positive acute angle and 5cosθ + 12sinθ = 13, then the value of cosθ is

Options:
1) 12/13
2) 5/13
3) 5/12
4) 1/5

Correct Answer: 5/13

Question 70.A cylinderical container of 32 cm height and 18 cm radius is filled with sand. Now all this sand is used to form a conical heap of sand. If the height of the conical heap is 24 cm, what is the radius of its base?

Options:
1) 12 cm
2) 24 cm
3) 36 cm
4) 48 cm

Correct Answer: 36 cm

Question 71.The angle of elevation of the top of a pillar from the foot and the top of a building 20 m high, are 60° and 30° respectively. The height of the pillar is

Options:
1) 10 m
2) 10√3m
3) 60 m
4) 30 m

Correct Answer: 30 m

Question 72.The pie-chart shows the percentage of literate and illiterate male and female in a state. Study the diagram and answer the following questions.

If the total number is 35000, then the difference between the numbers of literate male and literate female is

Options:
1) 3500
2) 3700
3) 400
4) 4500

Correct Answer: 3500

Question 73.The pie-chart shows the percentage of literate and illiterate male and female in a state. Study the diagram and answer the following questions.

The difference of central angles corresponding to illiterate male and illiterate female is

Options:
1) 12.2°
2) 13.4°
3) 11.2°
4) 14.4°

Correct Answer: 14.4°

Question 74.The pie-chart shows the percentage of literate and illiterate male and female in a state. Study the diagram and answer the following questions.

If the difference between the two categories of people are represented by 36° in the diagram then these categories are

Options:
1) literate male and literate female
2) literate male and illiterate male
3) illiterate male and literate female
4) illiterate male and illiterate female

Correct Answer: literate male and literate female

Question 75.The pie-chart shows the percentage of literate and illiterate male and female in a state. Study the diagram and answer the following questions.

If two categories together have a central angle of 169.20,then these categories are

Options:
1) literate female and illiterate female
2) literate male and illiterate female
3) illiterate male and illiterate female
4) illiterate male and literate female

Correct Answer: literate female and illiterate female