Aptitude · all questions

Circular Measurement Of Angle
practice.

Practice every MCQ with options. Use Show answers when you want the correct option and solution.

27

Questions

1/2

Page

Pick an option on a question to see the right answer and solution.

Q1

In a ΔABC, if 4∠A = 3∠B = 12∠C, find ∠A?

Select an option to see the answer and solution.

Q2

In ΔPQR Measure of angle Q at is 90°. If sinP =

\frac{12}{13}

and PQ = 1 cm. Then what is the value of cotR =?

Select an option to see the answer and solution.

Q3

If 0 ≤ θ ≤

\frac{π}{2}

and sec²θ + tan²θ = 7, then θ is

Select an option to see the answer and solution.

Q4

In ΔDEF Measure of angle E is 90°. If cosD =

\frac{5}{13}

and DE = 1 cm. Then what is Length of side EF?

Select an option to see the answer and solution.

Q5

In ΔDEF Measure of angle E is 90°. If cotD =

\frac{8}{15}

and DE = 16 cm. Then what is the Length of side EF?

Select an option to see the answer and solution.

Q6

In circular measure, the value of the angle 11°15' is:

Select an option to see the answer and solution.

Q7

ΔABC is right angle at B. If m∠C = 45°. Then find the value of (cosecA -

3

) =?

Select an option to see the answer and solution.

Q8

ΔDEF is right angled at E. If ∠D = 45°, then what is the value of cosecFcotD?

Select an option to see the answer and solution.

Q9

In ΔXYZ Measure of angle Y is 90° if secX =

\frac{17}{8}

and XY = 0.8 cm. Then what is Length of side XZ?

Select an option to see the answer and solution.

Q10

The measures of the four angles of a quadrilateral are in the ratio 1 : 2 : 4 : 5. What is the measure the biggest angle?

Select an option to see the answer and solution.

Q11

The degree measure of 1 radian

(π = \frac{22}{7}) :

Select an option to see the answer and solution.

Q12

(\frac{3 π}{5})

radians is equal to:

Select an option to see the answer and solution.

Q13

If θ is acute angle and sin(θ + 18°) =

\frac{1}{2}

, then the value of θ in circular measure is:

Select an option to see the answer and solution.

Q14

ΔXYZ is right angled at Y. If m∠Z = 45°, then find the value of

(cosecX - \frac{2}{3}) = ?

Select an option to see the answer and solution.

Q15

A vertical pole AB is standing at the centre B of a square PQRS. If PR subtends an angle of 90° at the top, A of the pole, then the angle subtended by a side of the square at A is:

Select an option to see the answer and solution.

Q16

If the sum and difference of two angles are 135° and

\frac{π}{12}

respectively, then the value of the angles in degree measure are:

Select an option to see the answer and solution.

Q17

In a triangle ABC, ∠ABC = 75° and ∠ACB =

\frac{π ^{c}}{4}

. The circular measure of ∠BAC is:

Select an option to see the answer and solution.

Q18

ΔABC is right angled at B. If ∠A = 30°, what is the length of AB (in cm), if AC = 10 cm?

Select an option to see the answer and solution.

Q19

In ΔUVW measure of angle V is 90°. If tanU =

\frac{12}{5}

and UV = 10 cm, then what is the length (in cm.) of side VW?

Select an option to see the answer and solution.

Q20

The circular measure of the included angle formed by the hour hand and minute hand of a clock at 3 p.m. will be

Select an option to see the answer and solution.