Aptitude · all questions

Geometry
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Q221

In equilateral ΔABC, D and E are points on the side AB and AC, respectively, such that AD = CE. BE and CD intersect at F. The measure (in degrees) of ∠CFB is :

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Q222

In ΔABC, D is a point on BC. If

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

∠B = 75° and ∠C = 45°, then ∠BAD is equal to :

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Q223

In a circle with centre O, chords PR and QS meet at the point T, when produced, and PQ is a diameter. If ∠ROS = 42°, then the measure of ∠PTQ is:

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Q224

There are 8 equidistant points A, B, C, D, E, F, G and H (in same order) on a circle. What is the value of ∠FDH (in degrees)?

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Q225

If in any triangle, the angles are in the ratio of 1 : 2 : 1, then what will be the ratio of its sides?

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Q226

An isosceles ΔMNP is inscribed in a circle. If MN = MP = 16√5 cm, and NP = 32 cm, what is the radius (in cm) of the circle?

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Q227

In ΔABC, AD is a median and P is a point on AC such that AP : PD = 3 : 4. Then ar (ΔAPB) : ar (ΔABC) is equal to:

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Q228

ΔABC a right angled triangle has ∠B = 90° and AC is hypotenuse. D is its circumcenter and AB = 3 cms, BC = 4 cms. The value of BD is

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Q229

In a circle with centre O, ACBO is a parallelogram where C is a point on the minor arc AB. What is the measure of ∠AOB?

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Q230

Two chords AB and CD of a circle with centre O, intersect each other at P. If ∠AOD = 100° and ∠BOC = 70°, then the value of ∠APC is

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Q231

Two circles of radius 13 cm and 15 cm intersect each other at points A and B. If the length of the common chord is 24 cm, then what is the distance between their centres?

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Q232

In the given figure, SX is tangent. SX = OX = OR. If QX = 3 cm and PQ = 9 cm. Then what is the value (in cm) of OS ?
Geometry mcq question image

Geometry mcq question image

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Q233

In a circle of radius 10 cm, with centre O, PQ and PR are two chords each of length 12 cm. PO intersects chord QR at the points S. The length of OS is:

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Q234

ABCD is a quadrilateral such that ∠D = 90°. A circle with centre O touches the sides AB, BC, CD and DA at P, Q, R and S, respectively. If BC = 40 cm, BP = 28 cm and CD = 25 cm, then what is the radius of the circle?
Geometry mcq question image

Geometry mcq question image

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Q235

In ΔABC, Perimeter of ΔABD = Perimeter of ΔBCD and AB = 60 cm, BC = 80 cm and AC = 100 cm. Then find BD.
Geometry mcq question image

Geometry mcq question image

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Q236

The lengths of the two sides forming the right angle of a right-angled triangle are 21 cm and 20 cm. What is the radius of the circle circumscribing the triangle?

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Q237

Two sides of a triangle are of length 3 cm and 8 cm. If the length of the third side is '

x

' cm, then:

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Q238

In a triangle PQR, ∠PQR = 90°, PQ = 10 cm and PR = 26 cm, then what is the value (in cm) of inradius of incircle?

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Q239

The circles of same radius 13 cm intersect each other at A and B. If AB = 10 cm, then the distance between their centres

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Q240

In ΔABC, D is a point on side BC such that ∠ADC = ∠BAC. If CA = 12 cm, CD = 8 cm, then CB (in cm) = ?

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