Quant(Geometry) mock(Speed test-16) for Govt. exams(10 qns)

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Q1. The ratio between the number of sides of two regular polygons is 1:2 and the ratio between their interior angles is 2:3. The number of sides of the polygons are respectively  a. 5, 10    b.6, 12    c.7, 14    d.4, 8

 Q2. The length of the diagonal BD of the parallelogram ABCD is 18cm. If P and Q are the centroids of △ABC and △ADC respectively, length of PQ  is

a.4cm     b.12cm    c.6cm   d.9cm

Q3. A, B and C are three points on the circumference of a circle. If AB=AC=52√cm and ∠BAC=90⁰. the length of radius is

a. 15cm  b.5cm  c.10cm  d.20cm

Q4.AB and CD  are two parallel chords of respective lengths 8cm and 6cm on the same side of the center of a circle. The distance between them is 1cm. Then the radius of the circle is

a.4cm    b.5cm   c.3cm    d.2cm

Q5.△ABC is an isosceles triangle with AB=AC and AD as the median to base BC. If ∠ABC=35⁰, the ∠BAD is     a.70⁰    b. 35⁰   c. 55⁰   d. 110⁰ 

Q6.  If I is the incenter of △ABC,  ∠ABC=65⁰ and ∠ACB=55⁰, the ∠BIC is, 

a.110⁰   b. 120⁰  c. 130⁰  d. 140⁰

Q7. Sides of a right-angled triangle are in the ratio 4 : 5 : 6. If the in-radius of the triangle is 3 cm, the altitude of the triangle with base as the largest side is

a.7.5 cm  b.6 cm  c.8 cm  d.10 cm

Q8.The distance between two parallel chords of length 8 cm each in a circle of diameter 10 cm is  a.7 cm  b.6 cm  c.5.5 cm  d.8 cm

Q9.A, B and C are three points on a circle such that angles subtended by the chords AB and AC at the centre are non-overlapping 90⁰ and 110⁰ respectively. ∠BAC is then equal to

a.80⁰  b.  90⁰  c 100⁰  d.70⁰

Q10.If the inradius of an equilateral triangle be 5 cm, its circumradius (in cm) is

a.10  b.15  c.25  d.30