SSC CGL 2017 Quantitative Aptitude Question Paper (Shift-2) 08-Aug-2017- (Tier-1)

Quantitative Aptitude Question Papers
08th August 2017 (Shift-2)


 

Question-1: What least value which should be added to 1812 to make it divisible by 7, 11, and 14?
Options:
1) 12
2) 36
3) 72
4) 154
Correct Answer: 36

Question-2: A is 1.5 times efficient than B therefore takes 8 days less than B to complete a work. If A and B work on alternate days and A works on first day, then in how many days the work will be completed?
Options:
1) 17
2) 19
3) 19.5
4) 21
Correct Answer: 19

Question-3: One of the diagonal of a rhombus is 70% of the other diagonal. What is the ratio of area of rhombus to the square of the length of the larger diagonal?
Options:
1) 3 : 10
2) 3 : 20
3) 7 : 20
4) 7 : 10
Correct Answer: 7 : 20

Question-4: A shopkeeper sells a table at a discount of 20% and earns a profit of 60%. If he sells the same table at 40% discount, then what will be his new profit percent?
Options:
1) 20
2) 30
3) 35
4) 40
Correct Answer: 20

Question-5: If A/3 = B/2 = C/5, then what is the value of ratio (C + A)2 : (A + B)2 : (B + C)2?
Options:
1) 9 : 4 : 25
2) 25 : 4 : 9
3) 64 : 25 : 49
4) 49 : 25 : 64
Correct Answer: 64 : 25 : 49

Question-6: 5 years ago the average age of a family which includes father, mother, and a son was 35 years. 3 years ago the average age of father and mother was 46 years. What is the present age (in years) of the son?
Options:
1) 20
2) 24
3) 26
4) 22
Correct Answer: 22

Question-7: The cost price of 60 articles is the same as the selling price of x articles. If there is a profit of 20%, then what is the value of x?
Options:
1) 15
2) 30
3) 50
4) 80
Correct Answer: 50

Question-8: A person scores 45% of the total marks in the exam and still fails by 40 marks. The passing percentage of the exam is 55%. What is the maximum marks of the exam?
Options:
1) 300
2) 350
3) 400
4) 500
Correct Answer: 400

Question-9: A man starts running from point P at 11:00 a.m. with a speed of 10 km/hr. He runs for 2 hours and then takes a 1-hour rest. He continues this till he is caught by another man who starts at 2:00 p.m. from point P and runs non-stop at a speed of 15 km/hr towards the first man. At what time (in p.m.) will the first man be caught?
Options:
1) 6:20
2) 4:40
3) 6:00
4) 5:30
Correct Answer: 4:40

Question-10: The difference of compound interest and simple interest for 3 years and for 2 years are in ratio 23 : 7 respectively. What is rate of interest per annum (in %)?
Options:
1) 200/7
2) 100/7
3) 300/7
4) 400/7
Correct Answer: 200/7

Question-11: If (x2/yz) + (y2/zx) + (z2/xy) = 3, then what is the value of (x + y + z)3?
Options:
1) 0
2) 1
3) 2
4) 3
Correct Answer: 0

Question-12: If x1/4 + x-1/4 = 2, then what is the value of x81 + (1/x81)?
Options:
1) – 2
2) 0
3) 1
4) 2
Correct Answer: 2

Question-13: If a(a + b + c) = 45, b(a + b + c) = 75 and c(a + b + c) = 105, then what is the value of (a2 + b2 + c2)?
Options:
1) 75
2) 83
3) 217
4) 225
Correct Answer: 83

Question-14: If x2 + (1/x2) = 1, then what is the value of x48 + x42 + x36 + x30 + x24 + x18 + x12 + x6 + 1?
Options:
1) – 9
2) 0
3) 1
4) 9
Correct Answer: 1

Question-15:

ssc-cgl-2017-exam-paper-held-on-08-aug-2017-shift-2-mathematics-q-id-165img
Options:
1) 170
2) 182
3) 189
4) 191
Correct Answer: 189

Question-16:

ssc-cgl-2017-exam-paper-held-on-08-aug-2017-shift-2-mathematics-q-id-166img
Options:
1) 1 : 2
2) 1 : 1
3) 2 : 1
4) 1 : 3
Correct Answer: 1 : 1

Question-17: Two chords of length 20 cm and 24 cm are drawn perpendicular to each other in a circle of radius is 15 cm. What is the distance between the Points of the intersection of these chords (in cm) from the center of the circle?

Options:

ssc-cgl-2017-exam-paper-held-on-08-aug-2017-shift-2-mathematics-q-id-167img
Correct Answer:

Question-18:

ssc-cgl-2017-exam-paper-held-on-08-aug-2017-shift-2-mathematics-q-id-168img

Options:
1) 3
2) 7
3) 9
4) 15
Correct Answer: 7

Question-19: What is the simplified value of sin2 (90 – θ) – [{sin(90 – θ)sin θ}/tan θ]?

Options:
1) 1
2) cosec θ
3) 0
4) cos θ
Correct Answer: 0

Question-20:

ssc-cgl-2017-exam-paper-held-on-08-aug-2017-shift-2-mathematics-q-id-170img

Options:
1) sin θ
2) 1 – sin 2θ
3) 1 + sin 2θ
4) 1 – sinθ
Correct Answer: 1 – sin 2θ

Question-21: If 5 sec θ – 3 tan θ = 5, then what is the value of 5 tan θ – 3 sec θ?

Options:
1) 1
2) 2
3) 3
4) 4
Correct Answer: 3

Question-22: What is the difference (in crores) in the population of the most and the least populated country?

ssc-cgl-2017-exam-paper-held-on-08-aug-2017-shift-2-mathematics-q-id-172-175img (1)

Options:
1) 18
2) 32
3) 34
4) 36
Correct Answer: 36

Question-23: What is the total GDP (in crore dollars) of country 5?

ssc-cgl-2017-exam-paper-held-on-08-aug-2017-shift-2-mathematics-q-id-172-175img (1)

Options:
1) 27120
2) 31640
3) 38280
4) 44660
Correct Answer: 31640

Question-24: What is the total GDP (in crore dollars) for the country with the third-lowest per capita income?

ssc-cgl-2017-exam-paper-held-on-08-aug-2017-shift-2-mathematics-q-id-172-175img (1)

Options:
1) 181900
2) 108460
3) 145200
4) 164560
Correct Answer: 164560

Question-25: Which country has the highest total GDP?

ssc-cgl-2017-exam-paper-held-on-08-aug-2017-shift-2-mathematics-q-id-172-175img (1)

Options:
1) Country 1
2) Country 2
3) Country 3
4) Country 8
Correct Answer: Country 3