Geometry - Quantitative Aptitude

Q1. If an angle is its own complementary angle, then its measure is
(a) 30⁰
(b) 45⁰
(c) 75⁰
(d) 90⁰

Q2. The supplement of 80⁰ is
(a) 60⁰
(b) 75⁰
(c) 90⁰
(d) 100⁰

Q3. Δ ABC is right angled at B. If AB = 10 cm, BC = 5 cm then AC = ?
(a) 3√2 cm
(b) 3√5 cm
(c) 5√5 cm
(d) 5√7 cm

Q4. The angles of a traingle are 4x⁰, (2x - 9)⁰ and (7x - 6)⁰. The value of x is
(a) 15⁰
(b) 30⁰
(c) 45⁰
(d) 60⁰

Q5. The perimeters of two simillar triangles Δ ABC and Δ PQR are 36 cm and 24 cm respectively. If PQ = 10 cm then AB = ?
(a) 15 cm
(b) 30 cm
(c) 45 cm
(d) 90 cm

Q6. In the given figure, what is the value of y, if 3x = 5y
(a) 52.5⁰
(b) 59.5⁰
(c) 67.5⁰
(d) 72.5⁰

Q7. The sum of all angles around a point is
(a) 0⁰
(b) 180⁰
(c) 270⁰
(d) 360⁰

Q8. In Δ ABC, AB = AC, ∠A = x⁰, ∠B = (x - 15)⁰, then what is the value of x
(a) 45⁰
(b) 60⁰
(c) 70⁰
(d) 120⁰

Q9. A chord AB of length 20 cm is at a distance of 4 cm from the center O of a circle. The radius of the circle is
(a) 2√21 cm
(b) 2√29 cm
(c) 3√12 cm
(d) 3√31 cm

Q10. In a Δ ABC, if 2∠A = 3∠B = 6∠c, then ∠A = ?
(a) 45⁰
(b) 90⁰
(c) 110⁰
(d) 145⁰

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