Aptitude · all questions

Geometry
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Q141

Open question

Let ΔABC and ΔABD be on the same base AB and between the same parallels AB and CD. Then the relation between areas of triangles ABC and ABD will be

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Q142

Open question

In a triangle ABC, D is a point on BC such that

\frac{AB}{AC} = \frac{BD}{DC} .

If ∠B = 68° and ∠C = 52°, then measure of ∠BAD is equal to:

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Q143

Open question

Two chords AB and CD of a circle with centre O intersect at P. If ∠APC = 40°. Then the value of ∠AOC + ∠BOD is

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Q144

Open question

If in ΔPQR, ∠P = 120°, PS ⊥ QR at S and PQ + QS = SR, then the measure of ∠Q is:

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Q145

Open question

The radius of two circles is 3 cm and 4 cm. The distance between the centres of the circles is 10 cm. What is the ratio of the length of direct common tangent to the length of the transverse common tangent?

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Q146

Open question

In the given figure, diameter AB and chord CD of a circle meet at P. PT is a tangent to the circle at T. If CD = 7.8 cm, PD = 5 cm, PB = 4 cm, find AB.
Geometry mcq question image

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Q147

Open question

In the following figure, if angles ∠ABC = 95°, ∠FED = 115° (not to scale). Then the angle ∠APC is equal to:
Geometry mcq question image

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Q148

Open question

The orthocentre of a triangle is the point where

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Q149

Open question

ΔPQR is an isosceles triangle and PQ = PR = 2a unit, QR = a unit. Draw PX ⊥ QR, and find the length of PX.

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Q150

Open question

The sides BA and DE of a regular pentagon are produced to meet at F. What is the measure of ∠EFA?

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Q151

Open question

In the given figure, PQRS is a quadrilateral. If QR = 18 cm and PS = 9 cm, then what is the area (in cm²) of quadrilateral PQRS?
Geometry mcq question image

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Q152

Open question

In the given figure, if OQ = QR, then the value of m is:

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Q153

Open question

Two circles are of radii 7 cm and 2 cm their centres being 13 cm apart. Then the length of direct common tangent to the circles between the points of contact is

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Q154

Open question

The difference between the two perpendicular sides of a right-angled triangle is 17 cm and its area is 84 cm². What is the perimeter (in cm) of the triangle?

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Q155

Open question

The side BC of a triangle ABC is extended to the point D. If ∠ACD = 132° and ∠B =

\frac{4}{7}

∠A, then the measure of ∠A is equal to:

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Q156

Open question

In the given figure, B and C are the centres of the two circles. ADE is the common tangent to the two circles. If the ratio of the radius of both the circles is 3 : 5 and AC = 40, then what is the value of DE?
Geometry mcq question image

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Q157

Open question

In a circle with centre O, AB is a diameter and CD is a chord which is equal to the radius OC. AC and BD are extended in such a way that they intersect each other at a point P, exterior to the circle. The measure of ∠APB is

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Q158

Open question

A circle touches the side PQ of a ΔAPQ at the point R and sides AP and AQ produced at the points B and C, respectively. If the perimeter of ΔAPQ = 30 cm, then the length of AB is:

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Q159

Open question

In the given figure, AB = 30 cm and CD = 24 cm. What is the value (in cm) of MN?
Geometry mcq question image

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Q160

Open question

In the given figure, if AD = 3, DE = 4, AB = 12, BF = 2, FG = 6, BC = 10, then the value of

\frac{M}{N}

is: (Assume: M is the area of the quadrilateral FGDE and N is the area of the triangle ABC.)
Geometry mcq question image

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Geometrypractice.

Geometry
practice.