SSC CGL- 2018 SHIFT-1 – QUANTITATIVE APTITUDE

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SSC-CGL 2018

SSC CGL- 2018 SHIFT-1 – QUANTITATIVE APTITUDE

  1. If x = a+1/a and y = a-1/a then √x4 + y4 -2x2y2 is equal to :
  1. 4
  2. 16a2
  3. 8/a2
  4. 8

Answer : 1)

  1. ABCD is cyclic quadrilateral whose diagonals interests at P. If AB = BC , ∠DBC = 70°, and  ∠BAC = 30°, then the measure of ∠PCD is :
  1. 30°
  2. 55°
  3. 50°
  4. 35°

Answer : 3)

  1. sinθ – cosθ + 1 / sinθ + cosθ – 1 = ?

1. secθ + tanθ
2. secθ – tanθ
3. secθ tanθ
4. secθ sinθ

Answer : 1)

  1. A and B are traveling towards each other from the points P and Q respectively. After crossing each other . A and B  take 6 and half hours and 8 hours, respectively, to reach their destinations Q and P, respectively. If the speed of B is 16.8 km/h, then the speed (in km) of A is :
  1. 19.2
  2. 20.4
  3. 19.8
  4. 20.8

Answer : 1)

  1. ABCD is a trapezium in which AB||DC and its diagonals intersect at P. If AP = (3x-1)cm, PC = (5x-3)cm, BP = (2x+1)cm and PD = (6x-5)cm, then the length of DB is :
  1. 10 cm
  2. 16cm
  3. 14cm
  4. 12cm

Answer : 4)

  1. The income of A is 50% more than that of B. If the income of A is increased by 40% and the income of B is increased by 90% then the percentage increase in their combined  income will be :
  1. 70
  2. 55
  3. 60
  4. 64

Answer : 3)

  1. If 12cot2 θ – 31 cosec θ + 32 = 0, 0° < θ <90°, then the values of tan θ will be  
  1. 5/4 , 4/3
  2. 4/3 , 3√7 / 7
  3. 4/5 , 5√7 / 7
  4. 4/5 , 4/3

Answer : 2)

  1. The value of √sec2 θ + cosec2 θ * √tan2 θ – sin2 θ is equal to :
  1. sin θsec2 θ
  2. cosec θ cos2 θ
  3. sin θ cos2 θ
  4. cosecθ sec2 θ

Answer : 1)

  1. A sum of Rs 15000 is lent at 16% p.a. compound interest. What is the difference between the compound interest for the second year and the third year?
  1. 548
  2. 454.88
  3. 445.44
  4. 544

Answer : 3)

  1. the average of thirteen numbers is 80. the average of the first five numbers is 74.5 and that of the next five numbers is 82.5. The 11th number is 6 more than the 12th number is 6 less than the 13th number. What is the average of the 11th and 13th numbers?
  1. 86.5
  2. 87.5
  3. 87
  4. 86

Answer : 3)

  1. A circle is inscribed in ▲ABC, touching AB at P, BC at Q and AC at R. If AR = 5cm, RC = 6cm, AB = 12cm ,then the perimeter of  ▲ABC is:
  1. 36cm
  2. 37cm
  3. 40cm
  4. 32cm

Answer : 1)

  1. If ab + bc + ca = 8 and a2  + b2 + c2 = 20, then a possible value of ½ (a+b+c)[(a-b)2 + (b-c)2 + (c-a)2] is :
  1. 84
  2. 72
  3. 56
  4. 80

Answer : 2)

  1. A person sold an article at a lost of 8%. Had he sold it at a gain of 10.5%, he would have received Rs92.50 more. To gain 12% he should have sold it for :
  1. 540.50
  2. 560
  3. 537.40
  4. 580

Answer : 2)

  1. If the 8-digit number 2074x4y2 is divisible by 88, then the value of (4x + 3y) is :
  1. 42
  2. 36
  3. 45
  4. 49

Answer : 3)

  1. Pipes A and B can fill a tank in one hour and two hours respectively while pipe C can empty the filled up tank in one hour and fifteen minutes. A and C are turned on together at 9 a.m. After 2 hours, only A is closed and B is turned on. When will the tank be empited?
  1. 11:30 am
  2. 10.:30 am
  3. 12 : 20 pm
  4. 12 : 10 pm

Answer : 3)
SSC CGL- 2018 SHIFT-1 – QUANTITATIVE APTITUDE

  1. A shopkeeper marks his goal at 40% more than their cost price and allows a discount of 25% on the marked price. His gain or loss percent is :
  1. 5% loss
  2. 10% loss
  3. 5% gain
  4. 15% gain

Answer  : 3)

  1. The volume of a metallic cylindrical pipe is 7480 cm3. If its length is 1.4m and its external radius is 9cm, then its thickness is:
  1. 1.2cm
  2. 0.8cm
  3. 0.9cm
  4. 1 cm

Answer : 4)

  1. If (8x3 – 27y3) / (2x – 3y) = (Ax2 + Bxy + Cy2), then the value of (2A + B – C) is :
  1. 3
  2. 4
  3. 5
  4. 6

Answer : 3)

  1. When x is subtracted from each of 21, 22, 60 and 64 the numbers so obtained, in this order, are in proportion. What is the mean proportional between (x+1) and (7x + 8)  ?
  1. 21
  2. 24
  3. 18
  4. 27

Answer : 2)

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