MEDIUM

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Let $△ X Y Z$ be right angle triangle, with right angle at $Z$ . Let $A_{x}$ denotes the area of the circle with diameter $Y Z$ . Let $A_{y}$ denote the area of the circle with diameter $X Z$ . and let $A_{z}$ denotes the area of the circle diameter $X Y$ . Which of the following relations is true?

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Important Questions on Directions

EASY

Aptitude>Verbal Reasoning>Directions>Distance and Displacement

If angles of a triangle are in the ratio of

2 : 3 : 4

, then the measure of the smallest angle is:

EASY

Aptitude>Verbal Reasoning>Directions>Distance and Displacement

The angles of a triangle are in the ratio of 1 : 2 : 3. What is the measure of the smallest angle (in degrees)?

EASY

Aptitude>Verbal Reasoning>Directions>Distance and Displacement

∆ A B C, A B = A C

and

A L

is perpendicular to

B C

L

. In

∆ D E F, D E = D F

and

D M

is perpendicular to

E F

M

. If

(a r e a o f ∆ A B C) : (a r e a o f ∆ D E F) = 9.25

, then

\frac{D M + A L}{D M - A L}

is equal to:

EASY

Aptitude>Verbal Reasoning>Directions>Distance and Displacement

△ ABC, ∠ A = 54 °

. If

I

is the incentre of the triangle, then the measure of

∠ BIC

is _____.

EASY

Aptitude>Verbal Reasoning>Directions>Distance and Displacement

The circle of radius

4 c m

and centre

O

has a tangent

P R

. If

∠ P O R = 90^{o}

and

O R = 7 c m

and

O P = 24 c m

. Calculate the length (in

c m

.) of

P R

EASY

Aptitude>Verbal Reasoning>Directions>Distance and Displacement

△ ABC

, if the ratio of angles is in the proportion

3 : 5 : 4

, then the difference between the biggest and the smallest angles (in degrees) is:

EASY

Aptitude>Verbal Reasoning>Directions>Distance and Displacement

∆ A B C

is an equilateral triangle and

A D ⊥ B C

, where

D

lies on

B C

. If

A D = 4 \sqrt{3} c m

, then what is perimeter (in cm)

MEDIUM

Aptitude>Verbal Reasoning>Directions>Distance and Displacement

A circle is inscribed in a triangle ABC. It touches side AB,BC and AC at points R,P and Q respectively. If

AQ = 2.6 cm, PC = 2.7 cm and BR = 3 cm

, then perimeter

(in cm)

of the

∆ A B C

is _____.

EASY

Aptitude>Verbal Reasoning>Directions>Distance and Displacement

The measures of the sides of a triangle are 7, 8 and 9 cm. Find the length of the largest side of a similar triangle whose shortest side is 35 cm.

(A) 55 cm

(B) 40 cm

(D) 50 cm

MEDIUM

Aptitude>Verbal Reasoning>Directions>Distance and Displacement

X, Y and Z are the midpoints of the sides of ∆PQR. If the perimeter of ∆XYZ is 32 units, find the perimeter of ∆PQR.

(A) 128 units

(B) 64 units

(D) 160 units

MEDIUM

Aptitude>Verbal Reasoning>Directions>Distance and Displacement

Let

∆ ABC ~ ∆ RPQ

and

\frac{ar (∆ ABC)}{ar (∆ PQR)} = \frac{4}{9}

. If

AB = 3 cm

BC = 4 cm

and

AC = 5 cm

, then

RP

(in

cm

) is equal to:

EASY

Aptitude>Verbal Reasoning>Directions>Distance and Displacement

△ A B C,

the measure of angle

∠ A B C

90 °

. If

tan A = \frac{12}{5},

and

A B = 1 c m

, then what is the length (in

c m

) of side

B C ?

EASY

Aptitude>Verbal Reasoning>Directions>Distance and Displacement

Δ A B C, ∠ C = 90 °

. M and N are the mid-points of sides AB and AC, respectively. CM and BN intersect each other at D and

∠ B D C = 90 °

. If

BC = 8 cm

, then the length of BN is _____.

EASY

Aptitude>Verbal Reasoning>Directions>Distance and Displacement

A B C

is an equilateral triangle.

P, Q

and

R

are the midpoints of sides

A B, B C

and

C A

respectively. If the length of the side of the triangle

A B C

8 c m

, then the area of

∆ P Q R

is:

EASY

Aptitude>Verbal Reasoning>Directions>Distance and Displacement

△ A B C, B D ⊥ A C

at D. E is a point on BC such that

∠ B E A = x °

. If

∠ E A C = 62 ° a n d ∠ E B D = 60 °

, then the value of

x

is _____.

EASY

Aptitude>Verbal Reasoning>Directions>Distance and Displacement

Let $A B C$ be a triangle such that $A B = 6 \sqrt{3} c m$ , $A C = 12 c m$ , and $B C = 6 c m$ . Angle $B$ is

EASY

Aptitude>Verbal Reasoning>Directions>Distance and Displacement

The sides of a triangle are $24 cm, 26 cm and 10 cm$ . At each of its vertex, circles of radius $4.2 cm$ are drawn. What is the area (in ${cm}^{2}$ ) of the portion covered by the three sector of the circle? $(π = \frac{22}{7})$

MEDIUM

Aptitude>Verbal Reasoning>Directions>Distance and Displacement

In an equilateral triangle

A B C, D, E, F

are the mid-points of

A B, B C,

and

A C

respectively. The quadrilateral

B E F D

is a _____.

EASY

Aptitude>Verbal Reasoning>Directions>Distance and Displacement

The side of an equilateral triangle is

10 c m

. Find its area (in

c m^{2}

MEDIUM

Aptitude>Verbal Reasoning>Directions>Distance and Displacement

∆ A B D

C

is the midpoint of

B D

. If

A B

= 10

cm, AD

= 12

cm and

A C

= 9

cm, then

B D = ?

Let △XYZ be right angle triangle, with right angle at Z. LetAx denotes the area of the circle with diameter YZ. Let Ay denote the area of the circle with diameter XZ. and let Az denotes the area of the circle diameter XY. Which of the following relations is true?

Important Questions on Directions

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