Applications (Word Problem)

Q. Establish an equation based on the given statement: ‘Four added to three times a number gives 10’.

1. $4x=10-3$
2. $3x+4=10$
3. $4x+3=10$
4. $4x+3+10=0$

Q. If the tens digit is twice the units digit in the number 'ab'. Choose the correct option.

1. a = 2b
2. b = 2a
3. a = b
4. a = 0.2 b

Q.

The sum of the digits of a two-digit number is 9. If the digit in tens place is twice the digit in the units place, then the number is:

1. 36

2. 54

3. 63

4. 45

Q. Two prizes are to be distributed in a quiz contest. The value of the second prize is 5/6 of the value of the first prize. If the first prize is Rs. 3000, the second prize is Rs.___.

Q.

If the sum of three consecutive multiples of 9 is 108, then the average of multiples is

___

Q. A student gets 3 marks for answering a question correctly and loses 1 mark for answering it wrong. Suppose if he answers 5 questions correctly and 2 questions wrong, then what is his score?

1. 15
2. 16
3. 13
4. 14

Q.

Three prizes are to be distributed in a quiz contest. The value of the second prize is five-sixth of the value of the first prize and the value of the third prize is four-fifth of the second prize. If the total value of the three prizes is ₹ 1500, then find the value of each prize (in order of 1st, 2nd and 3rd).

1. ₹ 600, ₹ 500, ₹ 400

2. ₹ 500, ₹ 400, ₹ 600

3. ₹ 900, ₹ 400, ₹ 300

4. ₹ 700, ₹ 500, ₹ 300

Q. The length of a rectangle is twice its width. If the perimeter of the rectangle is 42 m, then find the area of the rectangle.

1. $98m^2$
2. $224m^2$
3. $63m^2$
4. $108m^2$

Q.

If a sequence follows the pattern $2.5n-10$, then find the ${10}^{th}$ term of the sequence.

1. 10

2. 15

3. 20

4. 5

Q.

The digit at tens place of a two digit number is two times the digit at its units place. If the digits are interchanged and added to the original number, then the result will be 66. Find the original number.

1. 84

2. 21

3. 42

4. 63