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

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?

  1. $65$
  2. $55$
  3. $50$
  4. $45$
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let Bhavna's marks be B. Then Karan's marks are B + 10, and Isha's marks are B - 5. The total sum of their marks is (B + 10) + B + (B - 5) = 170, which simplifies to 3B + 5 = 170, giving 3B = 165 and B = 55. Therefore, Isha's marks are B - 5 = 55 - 5 = 50.

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

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

  1. $12$
  2. $13$
  3. $14$
  4. $15$
Reveal answer Fill a bubble to check yourself
A Correct answer
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.
Multiple choice maths calculations and mental strategies 1 equations from statements forming equations from statements writing mathematical statements

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?

  1. $x+5y$
  2. $y-5x$
  3. $x-5y$
  4. $x+y=5$
Reveal answer Fill a bubble to check yourself
A Correct answer
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$=x+5y$
Multiple choice maths calculations and mental strategies 1 equations from statements forming equations from statements writing mathematical statements

If the sum and the product of the digits of two digit number is the same, then the number is_____________

  1. $11$
  2. $23$
  3. $10$
  4. $22$
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let the two-digit number be 10a + b. The sum of the digits is a + b, and the product of the digits is a * b. We are given a + b = a * b. Testing the options, for 22, the sum is 2 + 2 = 4 and the product is 2 * 2 = 4, which matches the condition.