Tag: maths

Questions Related to maths

Sate true or false
Line joining them is parallel to Y axis
(i) $(4, 2)$
(ii) $(4, -5)$
(iii) $(4, 0)$
(iv) $(4, -2)$

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

  1. True

  2. False

Show answer
Correct Option: A
Explanation:

All the points have $x-coordinate=4$.

so, all the points lie on line $x=4$, which is parallel to $y-axis$.
hence, the line joining the above points is parallel to $y-axis$.

State true or false
The abscissa of two points is $0$.Line joining them is Y axis

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

  1. True

  2. False

Show answer
Correct Option: A
Explanation:

Given abscissa of two points is $0$.

let's assume the points as $(0,a)$ and $(0,b)$.
line joining these two points is given by $x=0$, which is $y-axis$.

Sate true or false
The ordinates of two points are each $-6$. Line joining them is parallel to X axis

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

  1. True

  2. False

Show answer
Correct Option: A
Explanation:

ordinate of the two points are $-6$.

let's take two points as $(a,-6)$ and $(b,-6)$.
line joining these two points is given by $y=-6$, which is parallel to $x-axis$.

Division of numbers is performed when we ________ certain quantities.

maths ways to multiply and divide mental multiplication multiplication methods multiplication of numbers

  1. Distribute

  2. Share

  3. Divide

  4. Add

Show answer
Correct Option: A,B,C
Explanation:
Division is splitting into equal parts or groups. It is the result of "fair sharing".
Example: there are $12$ chocolates, and $3$ friends want to share them, how do they divide the chocolates?
Answer: They should get $4$ each.

We use the ÷ symbol, or sometimes the / symbol to mean divide:
$12 ÷ 3 = 4$
$12 / 3 = 4$

The product of two consecutive natural numbers is always ________.

maths ways to multiply and divide mental multiplication multiplication methods multiplication of numbers

  1. An even number

  2. An odd number

  3. A prime number

  4. Divisible by 3

Show answer
Correct Option: A
Explanation:

We know that amongst two consecutive natural numbers, one is even and one is odd.

Let even number be $2n$ and odd be $2n+1$
Their product gives $2n(2n+1)$ which is a multiple of $2$, hence it is an even number.

A tyre factory produces $6348$ tyres a day. How many tyres will the factory produce in $460$ days?

maths ways to multiply and divide mental multiplication multiplication methods multiplication of numbers

  1. $29000$ tyres

  2. $2920080$ tyres

  3. $78546080$ tyres

  4. $5667772$ tyres

Show answer
Correct Option: B
Explanation:
Since, the factory produces $6348$ tyres in one day.
$\therefore $ it will produce  460 times the  product in one day in $460$ days.

$\therefore $ $460\times 6348=2920080$.

The unit's digit in the product $274 \times 318 \times 577 \times 313$ is:

maths ways to multiply and divide mental multiplication multiplication methods multiplication of numbers

  1. 2

  2. 3

  3. 4

  4. 5

Show answer
Correct Option: A
Explanation:

$ The\quad units\quad place\quad numbers\quad are\quad 4,\quad 8,\quad 7\quad and\quad 3.\ 4\times 8=32\longrightarrow \quad units\quad place\quad number\quad is\quad 2\ 2\times 7=14\longrightarrow \quad units\quad place\quad number\quad is\quad 4\ 4\times 3=12\longrightarrow \quad units\quad place\quad number\quad is\quad 2\ Answer-\quad Option\quad A $

$1089$ is divisible by ________

maths ways to multiply and divide mental multiplication multiplication methods multiplication of numbers

  1. $11$

  2. $3$

  3. $9$

  4. $All\ of\ these$

Show answer
Correct Option: D
Explanation:
Factors of $1089=3 \times 3 \times 11 \times 11$
Therefore $1089$ is divisible by all of the above

Find the value of $(-1)\times (-1)\times (-1)....1001\ times$

maths ways to multiply and divide mental multiplication multiplication methods multiplication of numbers

  1. $1$

  2. $0$

  3. $-1$

  4. $none\ of\ these$

Show answer
Correct Option: C
Explanation:

$(-1)\times$$(-1)\times$$(-1)$$.....1001$ times 

$(-1)^{1001}=-1$

Total number of divisor of $N$, which are divisible by $15$ but not by $36$ are 

maths ways to multiply and divide mental multiplication multiplication methods multiplication of numbers

  1. $92$

  2. $94$

  3. $96$

  4. $98$

Show answer
Correct Option: A