SSC CGL 2016 Quantitative Aptitude Question Paper (Shift-1) 07 September 2016- (Tier-1)

Quantitative Aptitude Question Papers
07th September 2016 (Shift-1)


 

Question 51.Find the least number which must be subtracted from 18265 to make it a perfect square
Options:
1) 30
2) 38
3) 40
4) 45
Correct Answer: 40

Question 52.A and B together can do a piece of work in 36 days, B and C together can do it in 24 days. A and C together can do it in 18 days. The three working together can finish the work in
Options:
1) 8 days
2) 16 days
3) 30 days
4) 32 days
Correct Answer: 16 days

Question 53.Two adjacent sides of a parallelogram are 21 cms and 20 cms. The diagonal joining the end points of these two sides is 29 cms. The area of the parallelogram (in sq.cms) is
Options:
1) 240
2) 120
3) 210
4) 420
Correct Answer: 420

Question 54.A dealer marks his goods 20% above cost price. He then allows some discount on it and makes a profit of 8%. The rate of discount is
Options:
1) 4%
2) 6%
3) 10%
4) 12%
Correct Answer: 10%

Question 55.Sum of two numbers is thrice their difference. Their ratio is
Options:
1) 1:2
2) 2:1
3) 3:1
4) 1:3
Correct Answer: 2:1

Question 56.The average age of 36 students in a group is 14 years. When the teacher’s age is included in it, the average increases by one. The teacher’s age in years is
Options:
1) 31
2) 51
3) 36
4) 50
Correct Answer: 51

Question 57.A dishonest dealer professes to sell his goods at cost price but uses a weight of 875 gms for the kilogram weight. His gain in percentage is

SSC-CGL-Tier-1-Exam-Paper-2016-7-Sep-2016-Morning-Shift-Maths-Q57

Question 58.A’s salary is 50% more than that of B. Then B’s salary is less than that of A by

SSC-CGL-Tier-1-Exam-Paper-2016-7-Sep-2016-Morning-Shift-Maths-Q58

Question 59.Speed of a boat along and against the current are 14 kms/hr and 8 kms/hr respectively. The speed of the current is
Options:
1) 11 kms/hr
2) 6 kms/hr
3) 5.5 kms/hr
4) 3 kms/hr
Correct Answer: 3 kms/hr

Question 60.If the simple interest on Rs. 1 for 1 month is 1 paisa, then the rate percent per annum will be
Options:
1) 10%
2) 8%
3) 12%
4) 6%
Correct Answer: 12%

Question 61.If a/b + b/a = 1, then the value of a3 + b3will be
Options:
1) 1
2) 0
3) -1
4) 2
Correct Answer: 0

Question 62.If p = 99, then the value of p(p2+3p+3) will be
Options:
1) 999999
2) 1000000
3) 1000001
4) 999998
Correct Answer: 999999

Question 63.If a-b=1 and a3-b3 = 61, then the value of ab will be
Options:
1) -20
2) 20
3) 30
4) 60
Correct Answer: 20

Question 64.

SSC-CGL-Tier-1-Exam-Paper-2016-7-Sep-2016-Morning-Shift-Maths-Q64
Options:
1) 2a-b
2) a+b
3) a-b
4) 2a+b
Correct Answer: a-b

Question 65.The point where the 3 medians of a triangle meet is called
Options:
1) centroid
2) Incentre
3) Circumcentre
4) orthocentre
Correct Answer: centroid

Question 66.Δ ABC a right angled triangle has ∠B = 90° and AC is hypotenuse. D is its circumcentre and AB = 3 cms, BC = 4 cms. The value of BD is
Options:
1) 3cms
2) 4 cms
3) 2.5 cms
4) 5.5 cms
Correct Answer: 2.5 cms

Question 67.Δ ABC is an equilateral triangle and D, E are midpoints of AB and BC respectively. Then the area of Δ ABC : the area of the trapezium ADEC is
Options:
1) 5:3
2) 4:1
3) 8:5
4) 4:3
Correct Answer: 4:3

Question 68.

SSC-CGL-Tier-1-Exam-Paper-2016-7-Sep-2016-Morning-Shift-Maths-Q68
Options:
1) 75°
2) 30°
3) 150°
4) 105°
Correct Answer: 105°

Question 69.

SSC-CGL-Tier-1-Exam-Paper-2016-7-Sep-2016-Morning-Shift-Maths-Q69
Options:
1) 1
2) 0
3) -1
4) 2
Correct Answer: 0

Question 70.If x=aCosθCosΦ, y = aCosθSinΦ and z= aSinθ, then the value of x2+ y2 + z2 is
Options:
1) 2a2
2) 4a2
3) 9a2
4) a2
Correct Answer: a2

Question 71.A 1.6 m tall observer is 45 meters away from a tower. The angle of elevation from his eye to the top of the tower is 30°, then the height of the tower in meters is
(Take √3 = 1.732)
Options:
1) 25.98
2) 26.58
3) 27.58
4) 27.98
Correct Answer: 27.58

Question 72.The following pie chart shows proportion of the population of seven villages in 2009. Study the pie chart and answer the questions that follow:

SSC-CGL-Tier-1-Exam-Paper-2016-7-Sep-2016-Morning-Shift-Maths-Q72-75

If the below poverty line population of the village ‘X’ is 12160, then the population of village ‘S’ is
Options:
1) 18500
2) 20500
3) 22000
4) 20000
Correct Answer: 2200

Question 73.The following pie chart shows proportion of the population of seven villages in 2009. Study the pie chart and answer the questions that follow:

SSC-CGL-Tier-1-Exam-Paper-2016-7-Sep-2016-Morning-Shift-Maths-Q72-75

The ratio of the below poverty line population of village ‘T’ to that of the below poverty line population of village ‘Z’ is
Options:
1) 11:23
2) 13:11
3) 23:11
4) 11:13
Correct Answer: 23:11

Question 74.The following pie chart shows proportion of the population of seven villages in 2009. Study the pie chart and answer the questions that follow:

SSC-CGL-Tier-1-Exam-Paper-2016-7-Sep-2016-Morning-Shift-Maths-Q72-75

If the population of the village ‘R’ is 32000, then the below poverty line population of village ‘Y’ is
Options:
1) 14100
2) 15600
3) 16500
4) 17000
Correct Answer: 15600

Question 75.The following pie chart shows proportion of the population of seven villages in 2009. Study the pie chart and answer the questions that follow:

SSC-CGL-Tier-1-Exam-Paper-2016-7-Sep-2016-Morning-Shift-Maths-Q72-75

In 2010, the population of ‘Y’ and ‘V’ increases by 10% each, and the percentage of population below the poverty line remains unchanged for all the villages. If in 2009, the population of village Y was 30,000, then the below poverty line population of village ‘V’ in 2010 is _____
Options:
1) 11250
2) 12760
3) 13140
4) 13780
Correct Answer: 12760