Quantitative Aptitude [Advanced Level] For SSC CGL : 11th January 2020 for Geometry, Trigonometry and Algebra

Q1. If in ∆PQR sin² P + sin² Q + sin² R = 2, then ∆ is
(a) equilateral
(b) scalene
(c) obtuse
(d) right angled

Q2. Find sum of all integral solutions to the equation
(a) 3
(b) 0
(c) 5
(d) –1

Q3. In the given figure, PQRS is a square of side 12 cm. A line RT is drawn in as shown in figure. If diameter of smaller circle is 6cm, then find the diameter of the bigger circle ?

(a) 7 cm
(b) 8 cm
(c) 10 cm
(d) 11 cm

Q4. Three circles touch each other externally. The tangents at their points of contact meet at a point whose distance from a point of contact is 4. Find ratio of the product of the radii to the sum of the radii of circles.
(a) 16 : 1
(b) 16 : 15
(c) 1 : 16
(d) 15 : 16

Q5. In ∆ABC if ex-radius ra, rb and rc have a relation ra>rb>rc. Then relation for sides a, b, c for ∆ABC is
(a) a> b > c
(b) a< b < c
(c) a> b & b < c
(d) a< b & b > c

Q7. If 2x – 2y = 1 and 4x – 4y = 5/3, then, x – y = ?
(a) 1
(b) 2
(c) 0
(d) 5

(a) 3001
(b) 3002
(c) 3003
(d) 3004

Q10 A jar ABCDEF is made up of a prism shape with trapezium base and semi conical frustums connected at both ends of the prism. Find the volume of the shape (in cm3)?

(a) 42000
(b) 11550
(c) 52120
(d) 53550



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