Tag: maths

Questions Related to maths

There are $50$ plates in a crate and there are $11$ such crates. When they are opened $\dfrac{2}{5}$ of the plates are found to be broken. How many plates are left intact?

maths calculations and mental strategies 1 equations from statements forming equations from statements writing mathematical statements

  1. $220$

  2. $330$

  3. $530$

  4. $320$

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Correct Option: B
Explanation:
$\Rightarrow$Total number of crates$=11$

$\Rightarrow$one crates contain$= 50$plates

$\Rightarrow$so total number plates=$11\times50=550$

$\Rightarrow$the broken part of plates is $\dfrac{2}{5}$

$\Rightarrow$so the number of plates$=550\times\dfrac{2}{5}=220$

$\Rightarrow$the number plats left intact$=550-220=330$

Three friends, Mala, Leela and Sheela, divided a box of apples weighing $15\dfrac{9}{10}$ kg equally between the three of them. How many kgs of apples did each get?

maths calculations and mental strategies 1 equations from statements forming equations from statements writing mathematical statements

  1. $5\dfrac{3}{10} kg$

  2. $3\dfrac{3}{10}  kg $

  3. $3\dfrac{9}{10}  kg $

  4. $5\dfrac{9}{10}  kg $

Show answer
Correct Option: A
Explanation:
Total weight of the apple $15\dfrac{9}{10}kg=\dfrac{(15\times10)+9}{10}=\dfrac{159}{10}$

There are three, they divide the apple equally between them

so one person will get the weight of apple $=\dfrac{159}{3\times10}=\dfrac{159}{30}=5\dfrac{3}{10}kg$

Write the quadrant in which the following point lie
$(5, -3)$

maths linear graphs coordinates of a point plotting and reading points on a coordinate plane position and numbers

  1. $Q _4$

  2. $Q _3$

  3. $Q _2$

  4. $Q _1$

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Correct Option: A
Explanation:
First quadrant        X=positive    and  Y=positive

Second quadrant  X=negative   and  Y=positive

Third quadrant      X=negative    and  Y=negative

Fourth quadrant    X=positive     and  Y=negative

$ (5,-3)$ has $X=5$, positive and $Y=3$,negative

$\therefore$ The point lies in the fourth quadrant.

Write the abscissa and ordinate of the following point.
$(0, 0)$

maths linear graphs coordinates of a point plotting and reading points on a coordinate plane position and numbers

  1. abscissa : $0$
    ordinate : $0$

  2. abscissa : $4$
    ordinate : $0$

  3. abscissa : $0$
    ordinate : $4$

  4. None of these

Show answer
Correct Option: A
Explanation:
The given point is $(0,0)$
The abscissa of given point is $0$
The ordinate of given point is $0$

Write the abscissa and ordinate of the following point.
$(0, -8)$

maths linear graphs coordinates of a point plotting and reading points on a coordinate plane position and numbers

  1. abscissa : $0$
    ordinate : $-8$

  2. abscissa : $9$
    ordinate : $-8$

  3. abscissa : $-8$
    ordinate : $0$

  4. None of these

Show answer
Correct Option: A
Explanation:
The given point is $(0,-8)$
The abscissa of given point is $0$
The ordinate of given point is $-8$

Write the abscissa and ordinate of the following point.
$(5, 0)$

maths linear graphs coordinates of a point plotting and reading points on a coordinate plane position and numbers

  1. abscissa : $5$
    ordinate : $0$

  2. abscissa : $0$
    ordinate : $5$

  3. abscissa : $0$
    ordinate : $0$

  4. None of these

Show answer
Correct Option: A
Explanation:
The given point is $(5,0)$
The abscissa of given point is $5$
The ordinate of given point is $0$

State true or false
The positions of $(5, -8)$ and $(-8, 5)$ is same

maths linear graphs coordinates of a point plotting and reading points on a coordinate plane position and numbers

  1. True

  2. False

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Correct Option: B
Explanation:
The positions of $(5,-8) $ and $(-8,5) $ are not same as the abscissa and ordinate of both the points are not equal. Hence,the given statement is false.

Write down the ordinate of the following point.
$(7, -4)$

maths linear graphs coordinates of a point plotting and reading points on a coordinate plane position and numbers

  1. $-4$

  2. $4$

  3. $7$

  4. None of these

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Correct Option: A
Explanation:

Ordinate is the $y–coordinate$ of any point $A(x, y)$.
So, ordinate of point $(7, –4)$ is $–4$.

State whether TRUE or FALSE 
A point whose x coordinate is zero and y-coordinate is non-zero will lie on the y-axis.

maths linear graphs coordinates of a point plotting and reading points on a coordinate plane position and numbers

  1. True

  2. False

  3. Ambiguous

  4. Data insufficient

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Correct Option: A
Explanation:

$since\quad x \quad coordinate=0,\ \therefore \quad point\quad lies\quad on\quad y\quad axis$

State the following statement is True or False
The coordinates of the origin are $(0, 0)$.

maths linear graphs coordinates of a point plotting and reading points on a coordinate plane position and numbers

  1. True

  2. False

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Correct Option: A
Explanation:

Point of intersection of $x$ and $y$ axes is called origin.
Its co-ordinate is $(0,0)$.
Hence, option A is correct.