Tag: forming equations from statements

Questions Related to forming equations from statements

The average of 9  consecutive numbers with difference of 9 is 79 , then with smallest number  among them ?

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

  1. 43

  2. 34

  3. 52

  4. 44

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Correct Option: A

The two parts of $100$ for which the sum of double of first and square of part is minimum. value of the smaller part is:

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

  1. $48$

  2. $1$

  3. $32$

  4. $16$

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Correct Option: A

find the sum of two numbers ,whose ratio is 7:19 and their difference is 12

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

  1. 22

  2. 26

  3. 24

  4. 23

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Correct Option: A

A number is $\dfrac{2}{5}$ of the second number seum of the two number is $70$; then the number are 

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

  1. $20,30$

  2. $20,40$

  3. $50,20$

  4. $20,15$

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Correct Option: A

In an examination Karan got  $10$  marks more than Bhavna. Isha got  $5$  marks less than Bhavna. If Trio get a total of  $170 ,$ then what is the marks obtained by Isha?

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

  1. $65$

  2. $55$

  3. $50$

  4. $45$

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Correct Option: A

Half the number is added to $18$, then sum is $46$, find the number?

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

  1. $26$

  2. $46$

  3. $36$

  4. $56$

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Correct Option: D
Explanation:
Let $x$ be the number

$\dfrac{1}{2}x+18=46$(given)

$\Rightarrow \dfrac{x+36}{2}=46$

$\Rightarrow x+36=92$

$\Rightarrow x=92-36=56$

$\therefore $ the number is $56$

After $12$ years I shall be $3$ times as old as I was $4$ years ago. Find my present age.

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

  1. $12$

  2. $13$

  3. $14$

  4. $15$

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Correct Option: A
Explanation:
Let my present age$=x$ years

After $12$ years my age$=x+12$ years

$4$ years ago my age $=x-4$ years

According to the question,

$x+12=3\left(x-4\right)$

$\Rightarrow x+12=3x-12$

$\Rightarrow 3x-x=12+12$

$\Rightarrow 2x=24$ or $x=\dfrac{24}{2}=12$ years.

$\therefore$ my present age is $12$ years.

If six times of a number is $48$, then the number is

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

  1. $2$

  2. $4$

  3. $6$

  4. $8$

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Correct Option: D
Explanation:
Let $x$ be the number

$6\times x=48$

$\Rightarrow x=\dfrac{48}{6}=8$

$\therefore$ the number is $8$

The number of girls in a class is $5$ times the number of boys.Which of the following can be the total number of children in a class?

maths calculations and mental strategies 1 equations from statements forming equations from statements writing mathematical statements
  1. $x+5y$

  2. $y-5x$

  3. $x-5y$

  4. $x+y=5$

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Correct Option: A
Explanation:
Let the number of girls in a class be $x$

Number of boys be $y$

Given: Number of girls in a class is $5\times$ number of boys

$\therefore x=5y$ 

$\therefore$ total number of children$=x+5y$

Rams age is $1/3$ of his fathers age. Rams fathers age will be $12$ years more than twice of Shyams age after $10$ years. If Shyams $8th$ bright day was celebrated $3$ years before, then what is Rams age at present?

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

  1. $14\ years$

  2. $16\ years$

  3. $11\ years$

  4. $13\ years$

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Correct Option: A