Tag: maths

Questions Related to maths

Find the number of parallelogram in the figure given below.

maths pattern patterns in number operations magic squares magic square

  1. 14

  2. 23

  3. 22

  4. 36

Show answer
Correct Option: D
Explanation:

For parallelograms we can use the formula of rectangles. It is a
$\displaystyle 3 \, \times \, 3 \, gird, \, hence \, \frac{3 \, \times \, 4}{3 \, \times \, 4} \, \times \frac{3 \, \times \, 4}{3 \, \times \, 4} \, = \, 36$ 

$12$ $15$ $54$
$37$ $14$ $102$
$71$ $23$ $?$
maths pattern patterns in number operations magic squares magic square

  1. $168$

  2. $178$

  3. $188$

  4. $190$

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Correct Option: A

At 5'O clock the angle between two hands in a clock is 

maths construction of angles angles in a clock checking angles between hands of a clock clock with respect to angles measuring and drawing angles

  1. ${ 120 }^{ \circ }$

  2. ${ 130 }^{ \circ }$

  3. ${ 140 }^{ \circ }$

  4. ${ 150 }^{ \circ }$

Show answer
Correct Option: D
Explanation:
A clock has $12$ equal parts$={360}^{\circ}$
$1$ part$=\dfrac{{360}^{\circ}}{12}={30}^{\circ}$
At $5$O clock the hands will be between $12$ and $5=5$parts
$\therefore 5$ parts$=5\times{30}^{\circ}={150}^{\circ}$

The centre of a clock is taken as origin At 4.30 pm the equation of line along minute hand is x = 0 Therefore at this istant the equation of line along the hour hand will be 

maths construction of angles angles in a clock checking angles between hands of a clock clock with respect to angles measuring and drawing angles

  1. $x - y = 0$

  2. $x + y = 0$

  3. $\displaystyle y=\sqrt{2x}$

  4. $\displaystyle y=\frac{x}{\sqrt{2}}$

Show answer
Correct Option: B
Explanation:

The centre of a clock is taken as origin. At 4:30 pm equation of line along minute hand is $x=0$.
Therefore at this instant the equation of line along the hour hand will be 
$m=-1$ ( as tan 135=-1 )
Therefore equation of line y=mx
or $y=-x$
$y+x=0$.

At 4.24 pm, how many degrees has the hour hand of a clock moved from its position at noon?

maths construction of angles angles in a clock checking angles between hands of a clock clock with respect to angles measuring and drawing angles

  1. $132^\circ$

  2. $135^\circ$

  3. $140^\circ$

  4. $145^\circ$

Show answer
Correct Option: A
Explanation:

From noon 12 noon to 4:24 total minutes
4*60+24
=240+24
=264
Now in 12 hour angle made by the hour hand= $={ 360^0 } $
so in 1 minute angle made by the hour hand=360/12*60=$= { \frac { 1 }{ 2 }  } $
so in 264 minute angle made by the hour hand=$=264\times \frac { 1 }{ 2 } ={ 132^0 } $

The minute hand of a clock is 14 cm long
How much distance dose the end of the minute hand
travel in 15 minutes?$\displaystyle \left ( Take \pi  =\frac{22}{7}\right )$

maths construction of angles angles in a clock checking angles between hands of a clock clock with respect to angles measuring and drawing angles

  1. 11 cm

  2. 22 cm

  3. 33 cm

  4. 44 cm

Show answer
Correct Option: B
Explanation:

Given minute hand of clock is 14 cm long

Then distance traveled by minute hand in 15 minutes
= one forth of circumference of circle radius 14 cm
=$\left ( \frac{1}{4}\times 2\times \frac{22}{7}\times 14 \right )=22 cm$

At 5:20 the angle formed between the two hands of a clock is

maths construction of angles angles in a clock checking angles between hands of a clock clock with respect to angles measuring and drawing angles

  1. obtuse

  2. right

  3. acute

  4. none of these

Show answer
Correct Option: C
Explanation:

A clock is a circle, and a circle always contains $360^o$. Since there are 


$60$ minutes on a clock, each minute mark is $6^o.$

$\Rightarrow$  $\dfrac{360^o}{60}=6\,degree$
The minute hand on the clock will point at $20$ minutes, allowing us to calculate it's position on the circle.

$\Rightarrow$  $20\,minutes\times 6=120\,degree$
So the angle made by the hour hand in $5$ hours $20$ minutes $= 5\dfrac{1}{3}hours$ 
                                                                                                    $=\dfrac{16}{3}\times\dfrac {360^o}{12}$ 
                                                                                                    $=160^o$

Hence angle between the hour hand and minute hand at $5:20=160^o-120^o=40^o$

$\therefore$  $40^o$ is less than $90^o$ means its acute angle.

$\therefore$   At $5:20$ the angle formed between the two hands of a clock is $acute.$

At 3 o'clock, the angle formed between the two hands of a clock is

maths construction of angles angles in a clock checking angles between hands of a clock clock with respect to angles measuring and drawing angles

  1. right

  2. acute

  3. obtuse

  4. left

Show answer
Correct Option: A
Explanation:

$\Rightarrow$  A clock is a circle made of $360^o$. and that 

$\Rightarrow$  Each number represents an angle and the separation between them is $\dfrac{360}{12}=30^o$. 
$\Rightarrow$  At $2:00$, the minute hand is on the $12$ and the hour hand is on the $3$.  
$\Rightarrow$  The angle between two hands $=3\times 30^o=90^o$
$\Rightarrow$  At $3$ o'clock, the angle formed between the two hands of a clock is $right\,angle.$

At 9 o'clock the formed between the hands of a clock is

maths construction of angles angles in a clock checking angles between hands of a clock clock with respect to angles measuring and drawing angles

  1. complete angle

  2. reflex angle

  3. zero angle

  4. none

Show answer
Correct Option: D
Explanation:

At 9:00 the angle formed between the hands of a clock is a right angle..

At 3 o'clock the angle formed between the hands of a clock is

maths construction of angles angles in a clock checking angles between hands of a clock clock with respect to angles measuring and drawing angles

  1. reflex angle

  2. right angle

  3. straight angle

  4. acute angle

Show answer
Correct Option: B
Explanation:

At 3:00 the angle formed between the hands of clock is right angle..