Mission CGL Mains 2015 :Advance Maths Quiz

1.The area of the greatest circle inscribed inside a square of side 21 cm is (Take ԉ= 22/7)

(1) 344.5 cm^2

(2) 364.5 cm^2

(3) 346.5 cm^2

(4) 366.5 cm^2

2.The angles of a pentagon are in the ratio 1 : 2 : 3 : 5 : 9. The largest angle is :

(1) 81⁰

(2) 135⁰

(3) 243⁰

(4) 249⁰

3.In each of the following. The measures of the three angles are given. In which case the angles can possibly be those of a triangle?

(1) 59⁰, 72⁰, 61⁰

(2) 45⁰, 61⁰, 73⁰

(3) 30⁰, 125⁰, 20⁰

(4) 63⁰, 37⁰, 80⁰

4.A took 15 sec. to cross a rectangular field diagonally walking at the rate 52 m/min. and B took the same time to cross the same field along its sides walking at the rate of 68 m/min. The area of the field is:

(1) 30 m^2

(2) 40 m^2

(3) 50 m^2

(4) 60 m^2

5.Diameter of a wheel is 3 cm. The wheel revolves 28 times in a minute. To cover 5.280 km distance. The wheel will take (Take ԉ = 22/7):

(1) 10 minutes

(2) 20 minutes

(3) 30 minutes

(4) 40 minutes

6.The sides of a triangle are 3 cm, 4 cm and 5 cm. The area (in cm^2) of the triangle formed by joining the mid points of this triangle is:

(1) 6

(2) 3

(3) 3/2

(4) 3/4

7.Given √2 = 1.414. The value of √8+2√32-3√128+4√50 is

(1) 8.484

(2) 8.526

(3) 8.426

(4) 8.876 

8.If 47.2506 = 4A+7/B + 2C +  5/D + 6E, then the value of 5A + 3B+6C+D+3E is

(1) 53.6003

(2) 53.603

(3) 153.6003

(4) 213.0003

9.If the four sides of a quadrilateral ABCD are tangential to a circle, then:

(1) AC + AD = BD + CD

(2) AB + CD = BC + AD

(3) AB + CD = AC + BC

(4) AC + AD = BC + BD

10.Find angle A if tan (A + B – C) = 1, sin (B + C – A) = 1 and cos (C + A – B) = 1

(1) 67.5⁰

(2) 22.5⁰

(3) 45⁰

(4) None of these 

Answers:-
1.3
2.3
3.4
4.4
5.2
6.3
7.1
8.3
9.2
10.2