Aptitude · all questions

Geometry
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Q241

In the given figure MNOP is a parallelogram. PM is extended to Z. OZ intersects MN and PN at Y and X respectively. If OX = 27 cm and XY = 18 cm, then what is the length (in cm) of YZ?
Geometry mcq question image

Geometry mcq question image

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Q242

A, B, C are three points so that AB = 4 cm, BC = 6 cm and AC = 10 cm. The number of circles passing through the points A, B, C is

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Q243

Let two chords AB and AC of the larger circle touch the smaller circle having same centre at X and Y. Then XY = ?

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Q244

In a circle with centre O, a diameter AB is produced to a point P lying outside the circle and PT is a tangent to the circle at the point C on it. If ∠BFT = 36°, then is the measure of ∠BCP?

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Q245

ABC is an equilateral triangle with side 12 cm and AD is the median. Find the length of GD is G is the centroid of ΔABC.

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Q246

In the given figure, ∠DBC = 65°, ∠BAC = 35° and AB = BC, then the measure of ∠ECD is equal to:
Geometry mcq question image

Geometry mcq question image

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Q247

In ΔABC, AB = AC and D is a point on BC. If BD = 5 cm, AB = 12 cm and AD = 8 cm, then the length of CD is:

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Q248

In ΔPQR, the side QR is extended to S such that RS = PR. If ∠QPS = 110° and ∠PRQ = 70°, then the value of ∠PQR is:

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Q249

Chords AC and BD of a circle with centre O intersect at right angles at E. If ∠OAB = 25°, then the value of ∠EBC is

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Q250

PQRS is a cyclic quadrilateral. If ∠P is 4 times ∠R, and ∠S is 3 times ∠Q, then the average of ∠Q and ∠R is:

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Q251

ln a quadrilateral ABCD, E is a point in the interior of the quadrilateral such that DE and CE are the bisectors of ∠D and ∠C, respectively. If ∠B = 82° and ∠DEC = 80°, then ∠A = ?

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Q252

In the following figure, P and Q are centres of two circles. The circles are intersecting at points A and B. PA produced on both the sides meets the circles at C and D. If ∠CPB = 100°, then find the value of x.
Geometry mcq question image

Geometry mcq question image

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Q253

AC is the diameter of a circle dividing the circle into two semicircles. ED is a chord in one semicircle, such that ED is parallel to AC. B is a point on the circumference of the circle in the other semicircle. ∠CBE = 75°. What is the measure (in degree) of ∠CED?

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Q254

In an equilateral ΔABC, the medians AD, BE and CF intersect to each other at point G. If the area of quadrilateral BDGF is 12√3 cm², then the side of ΔABC is:

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Q255

In ΔABC, D and E are the midpoints of sides BC and AC, respectively, AD and BE intersect at G at right angle. If AD = 18 cm and BE = 12 cm, then the length of DC (in cm) is:

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Q256

Two circles with centres A and B of radii 5 cm and 3 cm respectively touch each other internally. If the perpendicular bisector of AB meets the bigger circle at P and Q, then the value of PQ is

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Q257

In ΔPQR, ∠Q = 84° and ∠R = 48°, PS ⊥ QR at S and the bisector of ∠P meets QR at T. What is the measure of ∠SPT ?

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Q258

In ΔPQR, ∠P = 90°. S and T are the mid points of sides PR and PQ, respectively. What is the value of

\frac{R Q ^{2}}{Q S ^{2} + R T ^{2}} = ?

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Q259

In a triangle ABC, AB = AC and the perimeter of ΔABC is 8(2 + √2) cm. If the length of BC is √2 times the length of AB, then find the area of ΔABC.

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Q260

Which of the set of three sides can't form a triangle?

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