# SSC CGL- 2018 SHIFT-1 – QUANTITATIVE APTITUDE

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

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°

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

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

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

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

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

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

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

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

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

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

1. If ab + bc + ca = 8 and a+ 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

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

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

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

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

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

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