Tag: mathematics and statistics

Quizzes (38) Questions (955)

Questions Related to mathematics and statistics

Multiple choice mathematics and statistics angle and its measurement directed angles

Mark the correct alternative of the following.
An angle of measure $360^o$ is called?

  1. A zero angle

  2. A straight angle

  3. A reflex angle

  4. A complete angle
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

An angle of measure $360^o$ is called a complete angle. [ Using definition of complete angle]

Multiple choice mathematics and statistics angle and its measurement directed angles

 Angles of a triangle are in the ratio $3 : 4 : 5$. The smallest angle is $45^o$.

  1. True

  2. False
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Angles of the triangle are in the ratio $3 : 4: 5$
Let the angles be $3x, 4x$ and $5x$
Sum of the angles of the triangle $= 180$
Thus, $3x + 4x + 5x = 180$
$12x = 180$
$x = 15$
Thus, the angles are $45^{o}, 60^{o}$ and $75^{o}$.

Multiple choice mathematics and statistics angle and its measurement directed angles

Mark the correct alternative of the following.
In a $\Delta ABC$, if $\angle A-\angle B=33^o$ and $\angle B-\angle C=18^o$, then $\angle B=?$

  1. $35^o$
  2. $45^o$
  3. $56^o$
  4. $55^o$
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Given,

$\angle A-\angle B=33^o$.....(1) and $\angle B-\angle C=18^o$.....(2).
Now subtracting  (2) from (1) we get,
$\angle A-2\angle B+\angle C=15^o$.....(3).
We've, $\angle A+\angle B+\angle C=180^o$....(4).
Now subtracting (4) from (3) we get,
$3\angle B=180^o-15^o$
or, $3\angle B=165^o$
or, $\angle B=55^o$.

Multiple choice mathematics and statistics angle and its measurement directed angles

Which of the following statements is correct?

  1. A triangle has two right angles.
  2. All the angles of a triangle are more than 60$^o$

  3. An exterior angle of a triangle is always greater than the opposite interior angles.
  4. All the angles of a triangle are less than 60$^o$
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

We know, The interior angles of a triangle always add up to 180.
So,  statement A, B and C is not correct.
(C) An exterior angle of a triangle is always greater than the opposite interior angles.
 is correct
Answer (C) An exterior angle of a triangle is always greater than the opposite interior angles.

Multiple choice mathematics and statistics angle and its measurement directed angles

If a bicycle wheel has 48 spokes the angle between the adjacent pair spokes is :

  1. $\left ( 6\frac{1}{2} \right )^0$
  2. $\left ( 7\frac{1}{2} \right )^0$
  3. $\left ( 7\frac{1}{3} \right )^0$
  4. $\left ( 6\frac{2}{3} \right )^0$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

required angle = $\frac{360}{48}$
$\frac{30}{4}$ = $\frac{15}{2}$= $\left ( 7\frac{1}{2} \right )^0$

Multiple choice mathematics and statistics angle and its measurement directed angles

The number of triangles with any three of the length 1, 4, 6 and 8 cm, as sides is

  1. 4

  2. 2

  3. 1

  4. 0
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Since in a triangle sum of any two sides is greater than or equal to third one.
If we take length 1,4 and 6 cm, then $4+1=5$cm is not greater than or equal 6.
If we take length 1,4 and 8 cm, then $4+1=5$cm is not greater than or equal 8.
If we take length 1,6 and 8 cm, then $6+1=7$cm is not greater than or equal 8.
But if  we take length 4,6 and 8 cm, then above property hold.
Therefore, only one triangle possible.
Option C is correct.

Multiple choice mathematics and statistics angle and its measurement directed angles

The measure of an angle which is five times its supplement is

  1. $36^0$
  2. $30^0$
  3. $150^0$
  4. $180^0$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let, required angle is =x

Supplementary angle of x is =${{180}^{0}}-x$

Now, according to question,

$ 5\times x={{180}^{0}}-x $

$ 6x={{180}^{0}} $

$ x={{30}^{0}} $


Hence, this is the answer.