CBSE Class 10 Mathematics Value Based Questions Set 03

VALUE BASED QUESTIONS

Q1. Mohit and Sahil are driving on two roads represented by the equation 2x+3y= 7 and 4x + 6y =12.
They drive within the speed limit.
(a) Will they meet at some point? Justify your answer.
(b) What value is depicted by Mohit and Sahil?
Solution: (i) They will never meet as the equations have no solution.
(ii)They are following the traffic rules.

Q2. A test contains ‘true’ or ‘false’ questions. One mark is awarded for every correct answer while ¼ mark is deducted for every wrong answer. A student knew answers to some of the questions. Rest of the questions he attempted by cheating. He answered 120 questions and got 90 marks. If answer to all questions he attempted by cheating were wrong, then how many questions did he answer correctly? How the habit of cheating will effect his character building.
Solution: 96 questions. Self respect, trust, personal integrity, wastage of time, reputation

Q3. A man wished to donate some money to a group of poor people, he decided to give Rs. 120 to each person and found that he fell short of Rs. 60, when he wanted to give to all the people present. He therefore, distributed Rs. 90 to each person and found that Rs 90 were left over. How much money did he have and how many people were there? What value is depicted by the man?
Solution. No of people= 5
Total money= 540
Values- Peace of mind, care, sympathy

Q4. A trust has Rs. 30,000. It is invested in two different types of bonds. The first bond pays 5% interest per annum which will be given to orphanage and second bond pays 7% interest per annum which will be given to an NGO for cancer aid. Trust obtains an annual interest of Rs 1800.
(a) How much amount is invested in each type of bond?
(b) Which value is depicted by trust?
Solution: Rs. 15000 in each bond.
Values depicted: Caring, showing concern

Q5. (i) Find the HCF of No of girls 861 and No of boys 1353 using Euclid’s Division Algorithm.
(ii) Deduce the LCM of 861 and 1353.
(iii) What do think about gender ratio now days ?
Solution. (i) 123
(ii) 9471
(iii) The Gender ratio should be balance by saving girls.

Q6.(i) If two zeroes of the polynomial x⁴-6x³-26x²+138x-35 are 2±√3, find the other zeroes.
(ii) Deduce the other two zeroes are of opposite signs.
(iii) Meenu confesses that the sum of the absolute values of the other two zeros is greater than their sum. Is she correct? If so, which value of Meenu is depicted by her confession?
(iv) Which mathematical concept has been covered in this problem?
Solution. (i) The other two zeroes of the given polynomial are 7 and -5
(ii) As 7 is positive and -5 is negative, so the other two zeroes are of opposite signs.
(iii) Meenu is correct. The value ‘ wiseness ‘ is depicted by Meenu’s confession.
(iv) The mathematical concept ‘polynomials’ has been used in the solution.

Q7.(i) If secA + tan A = p, find the value of sec A- tanA

Solution: (i) x= 9
(ii)1/2
(iii)1/2
(iv) She is correct. The value ‘ intelligence’ is depicted by her assertion
(v) The mathematical concept ‘Triangle’ has been covered in this problem.

Q9. Raj, on his birthday, distributed chocolates in an orphanage. He gave 2 chocolates to each child and 20 chocolates to adults. Considering number of children as x and total number of chocolates distributed is y, form the linear equation. If the total number of chocolates distributed is 150, how many children are there in the orphanage. Explain the value depicted by Raj in the question.
Solution: 2x+20=y ; y=150
Number of children= 65
Sympathetic/empathetic attitude of Raj towards orphan children is depicted here. 

Q10. The percentage of salary that 10 households donate to an orphanage is given below: 5, 3,10, 5, 2, 4, 7, 8, 1, 5 Find the mean, median and mode of the data. Also tell the values depicted by the persons of these households.

Solution: Mean= 5

Median= 5

Mode= 5

These persons have shown their responsibility towards society. Also they have shown sympathetic attitude towards orphans.

Q11 .A man hires a taxi to cover a certain distance. The fare is Rs 50 for first kilometre and Rs 25 for subsequent kilometers. Taking total distance covered as x km and total fare as y:

( a). Write a linear equation for this.

(b). The man covers a distance of 10 km and gave Rs 300 to the driver. Driver said “It is not the correct amount” and returned him the balance. Find the correct fare and the amount paid back by the driver.

(c) Which value is depicted by the driver in the question?

Solution. (a) 25x-y+25=0

(b) Correct fare= Rs 275

(c) The values depicted by the driver in the question are honesty and truthfulness

Q12. (i) Find the value of p for which the arithmetic mean of the following distribution is 52:

Wages( in rupees)     Number of workers

10-20                               5

20-30                               3

30-40                              4

40-50                              P

50-60                              2

60-70                              6

70-80                             13

(ii) Is p an even or an odd number?

(iii) Mithilesh thinks that the value p can be expressed as the sum of two prime numbers. Is she correct? If so, which value of Mithilesh is depicted by her thought?

(iv) Which mathematical concept has been covered in this problem?

Solution: (i) p= 7

(ii) Odd

(iii) 7 can be expressed as the sum of two prime numbers.

The value ‘ Good Arithmetical Knowledge’ is depicted by her thought.

(iv) The mathematical concept ‘statistics’ has been covered in the solution

Q13. In a housing society, people decided to do rainwater harvesting. Rainwater is collected in the underground tank at the rate of 30 cm³/sec. Taking volume of water collected in x seconds as y cm3.

(a) Form a linear equation.

(b) Write it in standard form as ax + by + c = 0.

(c) Which values are promoted by the members of this society?

Solution: Rate at which rainwater is collected in the tank = 30 cm³/sec .

Time for which water is collected = x seconds.

Total amount of water collected = y cm³

(a) According to the given condition, linear equation formed is y = 30x

(b) The equation in standard form is 30x – y + 0 = 0

(c) Values promoted by the members of the society are environmental protection and cooperation.

Q14. After every 6 months, price of petrol increases at the rate of Rs 4 per litre. Taking price of petrol in December 2010 as x and present price of petrol as y,

(a) Form a linear equation showing the price of petrol in December 2014.

(b) Due to continuous rise in the price of petrol, people are more interesting in CNG whose price is increasing at the rate of Rs 3 per litre in a year. Form a linear equation taking price of CNG in

December 2010 as ‘a’ and in December 2014 as ‘b’.

(c) Which value is depicted by using CNG over petrol?

Solution: (a) Price of petrol in December 2010 = x Price of petrol in December 2014 = y Price of

petrol increased in 1 year = 4 × 2 = Rs 8 Price of petrol increased in 4 years (December 2010- December 2014) = 8 × 4 = Rs 32

Equation representing the price of petrol in December 2014 = y = x + 32

(b) Price of CNG in December 2010 = a Price of CNG in December 2014 =b Price of CNG increased in 1 year = Rs 3 Price of CNG increased in 4 years (December 2010- December 2014)

= 3 × 4 = Rs 12

Equation representing the price of CNG in December 2014 = b = a + 12

(c) The value depicted by using CNG over petrol is environmental protection.

Q15. In a seminar on the topic ‘Liberty and Equality’ the number of participants in hindi, social science and English are 60 , 84 and 108 respectively.

(i) Find the minimum number of rooms required if in each room the same number of participants are to be seated and all of them being from the same subject.

(ii) Which mathematical concept has been used in this problem?

(iii) Which values are discussed in the above problem?

Solution: (i) No of rooms required= 21

(ii) HCF

(iii) Liberty and equality are the pay marks of democracy.

Q16. Some people of a society decorated their area with flags and tricolor ribbons on republic day. The following data shows the number of persons in different age group who participated in the decorations

(i) Find the Mode of above data.

(ii) What values do these persons possess?

Solution: (i) Mode= 36.8

(ii) National integrity, unity, beauty