Quantitative Aptitude Geometry and Coordinate Geometry

 Quantitative Aptitude Geometry and Coordinate Geometry


Q1. There are five concentric circles that are spaced equally from each other by 2.75 cms. The innermost circle has a square of side  cm inscribed in it. If a square need to be inscribed in the outermost circle, what will be the length of its sides (in cm)?

Q2. If ∆ABC is an equilateral, then find the radius (in cm) of the smaller circle.

Q3. A ∆ABC has sides, AB, BC & CA that measure 13, 14 and 15 units respectively. A line EF ⊥ to the side of measure 14 units divides the interior of the ∆ABC into two regions of equal area as shown in figure. Find the length of EF?

Q4. Medians of a ∆ABC are with lengths 9, 12 & 15cm respectively. Then area of the ∆ will be 
(a) 56
(b) 72
(c) 84
(d) 38

Q5. In the given figure in ∆PQR line ‘ℓ’ passes through the centroid of ∆PQR. If perpendicular distance between P & line ℓ is 2 & between Q & line ℓ is 6, then perpendicular distance between R & line ℓ will be?

(a) 8
(b) 6
(c) 1.97
(d) 8.43


Q6. Two circles with radii 5 cm and 8 cm touch each other externally at a point A. If a straight line through the point A cuts the circles at points P and Q respectively, then AP: AQ is

(a) 8 : 5
(b) 5 : 8
(c) 3 : 4
(d) 4:3

Q7. Perimeter of a semi-circular bow is 72 cm. Diameter of the bow (in cm) is
(a) 7 cm
(b) 14 cm
(c) 28 cm
(d) 21 cm

Q8. Consider right angled then AB : BC : CA equals

Q9. Area of triangle formed by straight lines 3x – y = 3, x – 2y + 4 = 0 and y = 0 is
(a) 15/4 sq. unit
(b) 15/2 sq. unit
(c) 15 sq. unit
(d) can’t be determined

Q10. Two points D and E are respectively taken on sides AB and AC of a triangle in such a way that If length of BC is 15 cm, what is the length of DE?
(a) 10 cm
(b) 8 cm
(c) 6 cm
(d) 5 cm

Solutions:

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