SSC CGL 2017 Quantitative Aptitude Question Paper (Shift-1) 20-Aug-2017- (Tier-1)

Quantitative Aptitude Question Papers
20th August 2017 (Shift-1)


 

Question-51: What least number must be added to 213, so that the sum is completely divisible by 9?
Options:
1) 3
2) 2
3) 1
4) 4
Correct Answer: 3

Question-52: A can do a work in 12 days and B in 24 days. If they work on it together for 4 days, then what fraction of work is left?
Options:
1) 1/3
2) 1/2
3) 1/4
4) 1/5
Correct Answer: 1/2

Question-53: What is the area (in sq cm) of an equilateral triangle of side 6 cm?
Options:
1) 36√3
2) 9
3) 36
4) 9√3
Correct Answer: 9√3

Question-54: What is the effective discount on two successive discounts of 20% and 25%?
Options:
1) 45%
2) 40%
3) 50%
4) 60%
Correct Answer: 40%

Question-55: Profit of Rs 12,400 has to be divided between three partners A, B and C in the ratio 5:7:8. How much does B get (in Rs)?
Options:
1) 4340
2) 3440
3) 3340
4) 4430
Correct Answer: 4340

Question-56: The average weight of P, Q and R is 47 kg. If the average weight of P and Q be 32.5 kg and that of Q and R be 48.5 kg, then what is the weight of Q (in kgs)?
Options:
1) 25
2) 21
3) 29
4) 33
Correct Answer: 21

Question-57: A shopkeeper by selling 5 items, earns a profit equal to the selling price of 1 item. What is his profit percentage?
Options:
1) 20%
2) 25%
3) 16%
4) 22.5%
Correct Answer: 25%

Question-58: What is the value of 20% of 500% of 50?
Options:
1) 0.5
2) 5000
3) 500
4) 50
Correct Answer: 50

Question-59: To cover a distance of 90 km in 2.5 hours what should be the average speed of the car in meters/second?
Options:
1) 10
2) 20
3) 30
4) 40
Correct Answer: 10

Question-60: If in 3 years at simple interest the principal increases by 18%, what will be the compound interest (in Rs) earned on Rs. 25,000 in 3 years at the same rate?
Options:
1) 4775.4
2) 5774.4
3) 4557.4
4) 5575.4
Correct Answer: 4775.4

Question-61: If 5x + 6(3-2x) = 4, then what is the value of x?
Options:
1) 1
2) 3
3) 2
4) 4
Correct Answer: 2

Question-62: If a + b = 1 and ab = -6, then what is the value of a3 + b3?
Options:
1) 17
2) 15
3) 19
4) 13
Correct Answer: 19

Question-63: The sum of a non-zero number and twenty times its reciprocal is 9. What is the number?
Options:
1) -5
2) 3
3) -3
4) 5
Correct Answer: 5

Question-64: If the 3rd and the 5th term of an arithmetic progression are 13 and 21, what is the 13th term?
Options:
1) 53
2) 49
3) 57
4) 61
Correct Answer: 53

Question-65: What is the reflection of the point (3,-5) in the origin?
Options:
1) (-3, -5)
2) (5,-3)
3) (-5,-3)
4) (-3, 5)
Correct Answer: (-3, 5)

Question-66: Point P is the midpoint of segment AB. Co-ordinates of P are (5, -1) and A are (2, -4). What are the co-ordinates of point B?
Options:
1) (6, 4)
2) (8, 2)
3) (1,-2)
4) (-6, -2)
Correct Answer: (8, 2)

Question-67: What is the slope of the line perpendicular to the line passing through the points (-2, 3) and (2, 0)?
Options:
1) 4/3
2) 3/4
3) -3/4
4) -4/3
Correct Answer: 4/3

Question-68: ∆ABC is similar to ∆PQR. If ratio of perimeters of ∆ABC and ∆PQR is 1:2 and if PQ = 10 cm then what is the length of AB (in cm)?
Options:
1) 5
2) 20
3) 25
4) 15
Correct Answer: 5

Question-69: What is the value of Sin 30° + Cos 30°?
Options:
1) (√6 + 1)/√3
2) (√3 + 2)/√3
3) (1 + √3)/2
4) 5/√3
Correct Answer: (1 + √3)/2

Question-70: ∆ ABC is right angled at B. If m∠A = 30°., then Sec C =?
Options:
1) 1/2
2) 1/√2
3) 2
4) 1/√3
Correct Answer: 2

Question-71: If Sin θ = 12/13, then what is the value of Cot θ?
Options:
1) 13/12
2) 5/13
3) 5/12
4) 13/5
Correct Answer: 5/12

Question-72: What is the ratio of the population densities of country C to country D?

ssc-cgl-2017-tier-1-papers-held-on-20-aug-2017-shift-1-maths-qus-72-to-75
Options:
1) 3 : 4
2) 4 : 3
3) 5 : 4
4) 4 : 5
Correct Answer: 3 : 4

Question-73: What is the difference in the average number of people living per 1,000 sq km in countries E and F?

ssc-cgl-2017-tier-1-papers-held-on-20-aug-2017-shift-1-maths-qus-72-to-75
Options:
1) 250
2) 4000
3) 400
4) 2500
Correct Answer: 2500

Question-74: Population density of country E is greater than population density of country D by:

ssc-cgl-2017-tier-1-papers-held-on-20-aug-2017-shift-1-maths-qus-72-to-75
Options:
1) 50%
2) 100%
3) 200%
4) 300%
Correct Answer: 100%

Question-75: If the area of country B is 20,00,000 sq km, what is its population?

ssc-cgl-2017-tier-1-papers-held-on-20-aug-2017-shift-1-maths-qus-72-to-75
Options:
1) 10000000
2) 2500000
3) 25000000
4) 1000000
Correct Answer: 1000000