Advanced Maths Quiz : GEOMETRY (TRIANGLE- CENTER OF TRIANGLES)

Dear Readers,

As SSC CGL exam is coming near, many of candidates are studying very hard for this exam and want to crack this exam very seriously. Many of candidates understand this thing that QUANTITATIVE APTITUDE Section plays a pivotal role in deciding the cut-off for candidates giving this exam especially the ADVANCED MATHS portion.

Friends, from now on We are starting a "Study Plan for Advanced Maths". According to this plan, we would be publishing daily quiz of Advanced maths portion from where we would cover a topic each in it and we would update it daily in SSCADDA WEBSITE. AND ALSO THIS STUDY PLAN IS NOT PARTICULARLY FOR SSC EXAM BUT ALSO USEFUL FOR OTHER GOVERNMENT EXAM.

1. The perimeters of two similar triangles ∆ABC and ∆PQR are 36 cm and 24 cm respectively. If PQ = 10 cm, then AB is -

(a) 10 cm

(b) 15 cm

(c) 20 cm

(d) 25 cm

2. ∆ABC and ∆DEFare similar and their areas be respectively 64 cm^2 and 121 cm^2. If EF = 15.4 cm, BC is -

(a) 11.2 cm 

(b) 12.1 cm 

(c) 11.0 cm 

(d) 12.3 cm 

3. In ∆PQR, PQ = 4 cm, QR = 3 cm and RP = 3.5 cm, ∆DEF is similar to ∆PQR. If EF = 9 cm then perimeter of ∆DEF is–

(a) 10.5 cm 

(b) 21 cm

(c) 31.5 cm

(d) Cannot be determined as data is insufficient 

4. If sides of a triangle are respectively 5 cm, 6 cm and 7 cm then radius of the circumcircle of the triangle is -

(a) 9 cm 

(b) 35/√6  cm

(c) 35/(4√6)  cm

(d) 17/2  cm

5. If ratio of sides of a triangle are 4 : 5 : 6 then what is the ratio of circumradius and inradius? 

(a) 2 : 1

(b) 16 : 7

(c) 12 : 7

(d) 16 : 5 

6. If triangle formed by medians of a right angled triangle is also a right angled triangle then what is the ratio of sides of the original right angled triangle? 

(a) 1 :√2 ∶√3

(b) 2∶√3 ∶√7

(c) √2 ∶√3 ∶√5

(d) 3 : 4 : 5 

7. If centre of incircle of triangle ABC is O and ∠BOC=110°, then what is the value of ∠BAC?

(a) 20°

(b) 40°

(c) 55°

(d) 110°

8. If distance between orthocentre and circumcentre of a triangle is 6 cm then what is the distance between its centroid and circumcentre? 

(a) 4 cm

(b) 2 cm

(c) 8/3 cm

(d) 4/3 cm 

9. In a ∆ABC,BC=9 cm,AC=40 cm and AB = 41 cm. If bisector of angle A meets side BC at D then ratio of area of ∆ABD ad ∆ABC is 

(a) 40 : 41

(b) 9 : 40

(c) 9 : 41 

(d) 41 : 81 

10. In a triangle ABC if A = 90°, b = 3 and c = 4 then R : r is -

(a) 5 : 3

(b) 7 : 3 

(c) 3 : 2 

(d) 5 : 2 

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