Questions

A card is drawn from a pack of playing cards and a dice is thrown. Events A and B are as follows: 

A: 'Jack is drawn from the pack' & B: ‘ a one is thrown on the dice’.

1. Write down the values of P(A), P(B)
2. Write down the value of P(A and B).

Rs 4500 was distributed equally among a certain number of people. If there were 25 people more, each would have received Rs 9 less.

1. Among how many people was the amount distributed?
2. Find the share of each person.

In an equilateral triangle, the size of the arm is x cm. All three sides of the triangle should be reduced by 2 cm, 4 cm, and 6 cm respectively to form a new right-angled triangle. Based on that, answer the following questions.

1. Draw a right-angled triangle after the reduction of sides by given measure and label the sides in terms of x.
2. Find the value of x.
3. What is the size of the side of the equilateral triangle shown, write the reason.

In an equilateral triangle, the size of the arm is x cm. All three sides of the triangle should be reduced by 12 cm, 13 cm, and 14 cm respectively to form a new right-angled triangle. Based on that, answer the following questions.

1. Draw a right-angled triangle after the reduction of sides by the given measure and label the sides in terms of x.
2. Find the value of x.
3. What is the size of the side of the equilateral triangle, write the reason.

The sides of a right-angled triangle containing the right angle are less than its hypotenuse by 1 em and 8 cm respectively.

1. If the hypotenuse of the triangle be 'h' then write other sides in terms of h.
2. Find the value of h.
3. Find the sides of the right-angled triangle.

The sides of a right-angled triangle containing the right angle are less than its hypotenuse by 5 cm and 10 cm respectively.

1. If the hypotenuse of the triangle be 'h' then write other sides in terms of h. 
2. Find the value of h.
3. Find the sides of the right-angled triangle.

In a two-digit number, the product of two digits is 14 and if 45 is subtracted from the number, the number will be reversed.

1. If b and a be the digits at unit place and tens place then write the two-digit number.
2. Write the number formed by interchanging the digits in terms of a and b.
3. Form the equations to represent given statements.
4. Find the values of a.
5. Find the two digits numbers.

The product of digits in a two-digit number is 12. The number formed by interchanging the digits of that number will be 9 less than the original number.

1. If y and x be the digits at unit place and tens place then write the two-digit number.
2. Write the number formed by interchanging the digits in terms of x and y.
3. Form the equations to represent given statements.
4. Find the values of x.
5. Find the two-digit numbers.

The sum of digits of a two-digit number is 7 and their product is 12.

1. If the digit in unit place be 'x' then write digit in tenth place in terms of x.
2. If the product of the digits be 12 then find the value of ‘x’.
3. Find the two-digit number.
4. By what percent this will be changed when the digits are reversed? 

In a two-digit number, the product of the digits is 18 and their sum is 9.

1. If the digit in unit place be 'u' then write the digit in tenth place in terms of u.
2. If the product of the digits be 18 then find the value of ‘u’.
3. Find the two-digit number.
4. By what percent this will be changed when the digits are reversed?