# SSC CGL- 2018 SHIFT-3 – Quantitative Aptitude

SSC CGL- 2018 SHIFT-3 – Quantitative Aptitude

1. If (1 + tan2 θ) + (1 +(tan2 θ)-1) = k, then √k = ?
1. sin θ cos θ
2. cosec θ sec θ
3. cosec θ cos θ
4. sin θ sec θ

1. The value of 1 / sin θ – cot2 θ / 1+ cosec θ is:
1. 0
2. 1
3. 2
4. -1

1. If a 10-digit number 2094x843y2 is divisible by 88, then the value of (5x – 7y) for the largest possible value of x is :
1. 2
2. 3
3. 5
4. 6

1. If 3√3x3 – 2√2y3 = (√3x – √2y) (Ax2 + By2 + Cxy), then the value of (A*B) / C is :
1. √6
2. 6√6
3. 6√3
4. √3

1. In a circle with center O and radius 10cm. PQ and RS are two parallel chords of length x cm and 12cm, respectively, and both the chords are on the opposite side of O. If the distance between PQ and RS is 14cm, the value of x is :
1. 15
2. 16
3. 18
4. 20

1. The area of triangle ABC is one unit. DE is straight line parallel to BC, joining the points D and E on AB and AC respectively such that AD : DB = 1:6. The ratio of the areas of the triangles ADE and ABC is :

1. 1 :6
2. 1 : 36
3. 1 : 7
4. 1 : 49

1. A train traveling at 44km/h crosses a man walking with a speed of 8km/h in the same direction, in 15 seconds. If the train crosses a woman coming from opposite direction in 10 seconds, then what is the speed (in km/h) of the woman?
1. 10.5
2. 8.5
3. 9
4. 10

1. A person borrowed a certain sum at 10%p.a  for three years, interest being compound annually. At the end of two years, he repaid a sum of Rs. 6634 and at the end of third year, he cleared off the debt by paying Rs. 13200. What was the sum borrowed by him?
1. 15600
2. 16500
3. 16400
4. 15400

1. Some fruits are bought at the rate of 11 of Rs.100 and an equal number at the rate of 9 for Rs.100. If all the fruits are sold at a rate of 10 for Rs.100, then what is the gain or loss percent in the entire transaction?
1. Loss 5%
2. Gain 5%
3. Gain 1%
4. Loss 1%

1. The value of 16 / 4 of 4* [3 / 4 of {4*3 / (3 + 3)}] /  (2 / 4 of 8) is :
1. 48
2. 6
3. 16
4. 9

1. PQRS is a cyclic quadrilateral. If angle P is three times the angle R and angle S is five times the angle Q, then the sum of the angles Q and R is :
1. 70°
2. 65°
3. 72°
4. 75°

1. If a  + 1 / a = 3, then  (a4  + 1/ a4) is equal to :
1. 81
2. 77
3. 47
4. 27

1. The average of eleven numbers is 54. The average of the first four numbers is 48 and that of the next four numbers is 25% more than the average of the first four. The ninth numbers is 8 greater than the 11th number and the tenth number is 4 greater than the 11th number . What is the average of the 9th and the 10th numbers?
1. 56
2. 54
3. 54.4
4. 52.6

1. If a +b+c  = 2, a2 + b2 + c2 = 26, then the value of a3 + b3  +c3 – 3abc is :
1. 69
2. 71
3. 78
4. 74

1. The radii of three concentric circles are in ratio of 4:5:7. What is the ratio of the area between the two inner circles to that between the two outer circles?
1. 4 : 5
2. 4 : 7
3. 5 : 9
4. 3 : 8

SSC CGL- 2018 SHIFT-3 – Quantitative Aptitude

1. To do a certain work, the ratio of the efficiencies of A, B and C is 7:5:6. Working together, they can complete the same work in 35 days. B and C work together for 21 days. The remaining work will be completed by A alone in :
1. 60 days
2. 57 days
3. 50 days
4. 54 days

1. (1 / 1 + sin2 θ + 1/ 1+ cosec2 θ) =
1. sin2 θ
2. 1
3. Cosec2 θ
4. 2