Tag: maths

Questions Related to maths

Calculate the time $1:30+4:45$.

maths how much does it weigh? basic operations with same units operations involving units of length calculations define weight and units of weight

  1. $5:15$

  2. $5:45$

  3. $6:15$

  4. $6:45$

Show answer
Correct Option: C
Explanation:

$1:30+4:45$

Adding hours $=1+4=5$ hours
Adding minutes $30+45=75$ minutes
Now $60$ minutes $=1 $ hour
$\therefore 75$ minutes $=1$ hour $+15$ minutes
So total time is $(5+1=6)$ hours and  $15$ minutes 
$=6:15$

If Tina weighs $\dfrac{2}{3}$times than Reema and Reema weighs $45$ kg, then Tina's weight is

maths how much does it weigh? basic operations with same units operations involving units of length calculations define weight and units of weight

  1. $45$

  2. $30$

  3. $15$

  4. $50$

Show answer
Correct Option: B
Explanation:

Weight of Reema $=w=45\ \ Kg$

Weight of Tina $=\dfrac{2}{3}w=\dfrac{2}{3}\times{45}=30\ \ Kg$
Option $B$ is correct.

What is $3:50-2:45$ ? 

maths how much does it weigh? basic operations with same units operations involving units of length calculations define weight and units of weight

  1. $1:00$

  2. $1:05$

  3. $1:15$

  4. $1:25$

Show answer
Correct Option: B
Explanation:

$3:50-2:45$

Subtracting hour from hour and minutes from minutes 
$\Rightarrow 1:05$
So option $B$ is correct.

What is $4:15-3:30$ ?

maths how much does it weigh? basic operations with same units operations involving units of length calculations define weight and units of weight

  1. $00:45$

  2. $-1:15$

  3. $-00:15$

  4. $1:15$

Show answer
Correct Option: A
Explanation:

$4:15$

$=4\times 60+15$ minutes
$=255$ minutes
$3:30$
$=3\times 60+30$ minutes
$210$ minutes
$\therefore 4:15-3:30=255-210=45$ minutes
So time is $00:45$

Gabriel watched $3$ old movies on videotape. The first movie was $62$ minutes long. The
second was $1$ hour $34$ minutes long. The third was $1$ hour $25$ minutes long. He started
watching at $3:15$ P.M. At what time did the last movie end?

maths how much does it weigh? basic operations with same units operations involving units of length calculations define weight and units of weight

  1. $7:00$ P.M.

  2. $7:08$ P.M.

  3. $7:12$ P.M.

  4. $7:16$ P.M.

Show answer
Correct Option: D
Explanation:

First movie $62$ min.

Second movie $94$ min
Third movie $85$ min
so total time of movie will be $241$ minutes
which makes $4$ hours and 1 minute
So he should finish $3:15 + 4:01$ = $7:16 $ P.M.

The ratio at which the point $(5,4)$ divides the line $(3,2)$ and $(8,7)$

maths how much does it weigh? basic operations with same units operations involving units of length calculations define weight and units of weight

  1. $\dfrac 23$

  2. $\dfrac{-3}{2}$

  3. $\dfrac{1}{2}$

  4. $\dfrac{1}{9}$

Show answer
Correct Option: A
Explanation:
Given points $(3,2);(8,7)$
Let the ratio be $m:n$
The dividing point is given as $\dfrac{8m+3n}{m+n}=5\\8m+3n=5m+5n\\3m=2n\\\dfrac mn=\dfrac 23$

Mr Sahoo attended a 1-day workshop from 09:15 a.m. to half five in the evening. The workshop included a $1\frac{1}{4}$ hour lunch break, two 15 minutes tea breaks and 13 activities, each of equal duration. Calculate the duration of each activity.

maths how much does it weigh? basic operations with same units operations involving units of length calculations define weight and units of weight

  1. $30$ minutes

  2. $20$ minutes

  3. $25$ minutes

  4. $40$ minutes

Show answer
Correct Option: A
Explanation:

Total time of the workshop =$8$ hours and $15$ min

$=8 \times 60+15=495 $ min

Total time of tea break = $30$ min

lunch break time = $75$ min

hence time available for 13 activities 
$=495-75-30$ $=6$ hours and $30$ min
$=390 $ min

So, time devoted to each activity $=\dfrac{390}{13}=30$ min

The greatest length which may be used to measure exactly $\displaystyle13\frac{3}{4}:ft$., $\displaystyle17\frac{1}{2}$., 20 ft. and $\displaystyle21\frac{1}{4}:ft$. is given by

maths how much does it weigh? basic operations with same units operations involving units of length calculations define weight and units of weight

  1. 3"

  2. 15"

  3. 18"

  4. 21"

Show answer
Correct Option: B
Explanation:

$\displaystyle13\frac{3}{4}:ft=165:inches$

$\displaystyle17\frac{1}{2}:ft=210:inches$ 

$20:ft=240:inches$ 

and $\displaystyle21\frac{1}{4}:ft=255:inches$ 

In order to find the greatest length we have to find the G. C. M. of 165", 210", 240" and 255" and the G. C. M. of these four numbers is 15".

One inch is equivalent to $2.54$ cm. How many centimeters are in two feet? Round your answer to two decimal places.

maths how much does it weigh? basic operations with same units operations involving units of length calculations define weight and units of weight

  1. $5.08$ cm

  2. $12.62$ cm

  3. $60.96$ cm

  4. $30.48$ cm

Show answer
Correct Option: C
Explanation:

First convert 2 feet to inches and then convert the result to centimeters. One foot is equivalent to 12 inches, so there are 24 inches in 2 feet. Since there are 2.54 cm in a foot, multiply 24 by 2.54 to convert feet to centimeters.
$24$ $\times$ $2.54 = 60.96$
Therefore, there are $60.96$ cm in $2$ feet.

Subtract $778\ m\ 78\ cm$ from $2\ km\ 768\ cm$

maths how much does it weigh? basic operations with same units operations involving units of length calculations define weight and units of weight

  1. $1228.9\ m$

  2. $571.1\ m$

  3. $1221.988\ m$

  4. $189.22\ m$

Show answer
Correct Option: A
Explanation:

First we have to convert both the quantities in $m$

$1\ \ m=100\ \ cm$
$\Rightarrow 1\ \ cm=.01 \ m$
$778 \ \ m\ \ 78\ \ cm =778+.01\times 78=778.78\ \ m$
$1\ \ km=1000\ \ m$
$2\ \ km\ \ 768\ \ cm =2\times1000+.01\times768=2007.68\ \ m$
Now subtracting both 
$2007.86-778.8=1128.9\ \ m$
Option $A$ is correct.