Tag: maths

Quizzes (518) Questions (9324)

Questions Related to maths

Multiple choice maths hcf-lcm introduction to multiples multiples lcm

Find a possible value of $v$, if the least common multiple of $9, 10, 12$ and $v$ is $540$.

  1. 18

  2. 24

  3. 27

  4. 36

  5. 45
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

LCM of 9,10,12

$9=3\times 3$
$10=2\times 5$
$12=2\times 2\times 3$
$LCM(9,10,12)=2\times 2\times 3\times 3\times 5=180$
180 is also multiply of 18,36,45.If v is 18,36 and 45 than LCM of all the number would be 180 but its 540 so the answer is Option C.

Multiple choice maths hcf-lcm introduction to multiples multiples lcm

The greatest number with four digits which when divided by $3, 5, 7, 9$ leaves the remainders $1, 3, 5, 7$ respectively, is _______.

  1. $9763$
  2. $9673$
  3. $9367$
  4. $9969$
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Since on dividing by $3$ the remainder is $1$, the sum of digits of the number must add upto a number, dividing which by $3$ we get remainder $1$

Since on dividing by $5$ remainder is $3$, unit place digit has to be either $3$ or $8$
Since on dividing by $9$ remainder is $7$, sum of digits should give remainder $7$ when divided by $9$ 
Only options (A), (B) satisfy these criteria
Since (A) is bigger, we divide it by $7$ and find remainder which turns out to be $5$. 

Multiple choice maths hcf-lcm introduction to multiples multiples lcm

When $31513$ ad $34369$ are divided by a certain three digit number, the remainders are equal, then the remainder is ______.

  1. $86$
  2. $97$
  3. $374$
  4. $113$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let the divisor be $a$ and remainder be $r$

Let $31513 = am+r$
and $34369 = an+r$
Then, $a(n-m) = 2856 = 24\times119 = 12\times238 = 8\times357= 6\times476=4\times714$
All three digit numbers give same remainder $=$ $97$

Multiple choice maths hcf-lcm introduction to multiples multiples lcm

The numbers which are multiples of $2$ are called ____.

  1. odd

  2. even

  3. prime

  4. composite
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

The numbers $2,4,6,8,10$ are known as even number. 

The numbers which are completely divisible by $2$ are known as even numbers.
So, the numbers which are multiples of $2$ are called even numbers.

Multiple choice maths lines equations of lines parallel to the x-axis and y-axis graphs of linear equations graph of linear equations in two variables

A straight line parallel to the $x$-axis has equation 

  1. $x = a$
  2. $y = a$
  3. $y = x$
  4. $y = -x$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let the equation of line be $y=mx+c  ...(1)$
Since, the line is parallel to $x$-axis, so slope of line, $m =0$
So, equation $(1)$ becomes $y=c$
Let the line is at a distance of $a$ from $x$-axis.
$a=c$
$\Rightarrow y=a$