## SSC CGL 2018 Mains Quantitative Abilities Solution 11 September 2019

Dear Students, SSC CGL 2018 Mains Question Paper and Answer Key have released. Here you will get solution of Maths paper of CGL Mains. 1-10 Quantitative aptitude questions are solved here next 10 questions will be solved in another post. If you found any mistake in question or solution report it at comment section. Solution given below:

Q.1 In ΔABC, D is a point on side BC such that ∠ADC = ∠BAC. If CA= 12 cm, CB=8 cm, then CD is equal to:
1. 16 cm
2. 18 cm
3. 12 cm
4. 15 cm

Q.2 The value of $(2\frac{6}{7}$ of $4\frac{1}{5}÷\frac{2}{3}) × 1\frac{1}{9} ÷ (\frac{3}{4}×2\frac{2}{3}$ of $\frac{1}{2}÷\frac{1}{4})$ is:
1. 5
2. 8
3. 1/5
4. 1/8

Q.3 If $2\sqrt{2}x^3 – 3\sqrt{3}y^3 = (\sqrt{2}x - \sqrt{3}y)(Ax^2 + By^2 + Cxy)$, then the value of $A^2 + B^2 – C^2$ is:
1. 19
2. 7
3. 11
4. 10

Q.4 In ΔABC, D and E are the points on sides AB and BC respectively such that DE ∥ AC. If AD : DB = 5:3, then what is the ratio of the area of ΔBDE to that of the trapezium ACED?
1. 4:25
2. 9:64
3. 1:6
4. 9:55

Q.5 $(\frac{1-tanθ}{1 - cotθ})^2 + 1 =$
1. $sec^2θ$
2. $cos^2θ$
3. $cosec^2θ$
4. $sin^2θ$

Q.6 When x is added to each of 2, 3, 30 and 35, then the numbers obtained in this order, are in proportion. What is the mean proportional between (x+7) and (x - 2)?
1. 6
2. 5
3. 7
4. 4

Q.7 $\displaystyle\frac{(1 + cosθ)^2 + sin^2θ}{(cosec^2θ-1)sin^2θ}=$
1. 2 secθ(1 + secθ)
2. cosθ(1 + sinθ)
3. 2 cosθ(1 + secθ)
4. secθ(1 + sinθ)

Q.8 $\displaystyle\frac{(2 sinA)(1 + sinA)}{1 + sinA + cosA}$ is equal to:
1. 1+ cosA - sinA
2. 1 + sinA cosA
3. 1+ sinA - cosA
4. 1 - sinA cosA

Q.9 The ratio of investment by A to that by B in a business is 14:15 and the ratio of their respective profits at the end of a year is 2 : 5. If A invested the money for 3 months, then for how much time (in months) B invested his money?
1. 5
2. 9
3. 7
4. 6

Q.10 The ratio of the volumes of two cylinders is x : y and the ratio of their diameters is a: b. What is the ratio of their heights?
1. xa: yb
2. xb: ya
3. $xa^2: yb^2$
4. $xb^2: ya^2$

Solutions

[Solution] SSC CGL 2018 Mains Quantitative Abilities 11 September 2019 Reviewed by Super Pathshala on 13:02 Rating: 5

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