LINEAR EQUATIONS IN ONE AND TWO VARIABLES (CDS)

Total Questions: 41

1. If the sum of a real number and its reciprocal is 26/5, then how many such numbers are possible? [2019 (II) Evening Shift]

Correct Answer: (b) One
Solution:Let the number be x.

2. Radha and Rani are sisters. Five years back, the age of Radha was three times that of Rani, but one year back the age of Radha was two times that of Rani. What is the age difference between them? [2019 (II) Evening Shift]

Correct Answer: (a) 8
Solution:Let the present age of Radha be x and Rani be y.

3. A person carries ₹500 and wants to buy apples and oranges out of it. If the cost of one apple is ₹5 and the cost of one orange is ₹7, then what is the number of ways in which a person can buy both apples and oranges using total amount? [2019 (II) Evening Shift]

Correct Answer: (b) 14
Solution:Let there are x number of apples and y number of oranges

4. Priya’s age was cube of an integral number (different from 1) four years ago and square of an integral number after four years. How long should she wait so that her age becomes square of a number in the previous year and cube of a number in the next year ? [2019 (I) Morning Shift]

Correct Answer: (c) 14 year
Solution:Let say Priya age 4 yr ago = x year.

5. A person bought two articles X and Y from a departmental store. The sum of prices before sales tax was ₹130. There was no sales tax on the article X and 9% sales tax on the article Y . The total amount the person paid, including the sales tax was ₹136.75. What was the price of the article Y before sales tax ? [2018 (II) Evening Shift]

Correct Answer: (a) ₹75
Solution:Let the cost of article X and Y before sales tax be ₹x and ₹y, respectively.

6. The solution of linear inequalities x + y ≥ 5 and x - y ≤ 3 lies [2018 (II) Evening Shift]

Correct Answer: (b) In the first and second quadrants
Solution:We have,

7. According to Mr. Sharma’s will, half of his property goes to his wife and the rest in equally divided between his two sons, Ravi and Raj. Some years later, Ravi dies and leaves half of his property to his brother Raj. [2018 (II) Evening Shift]

When Raj dies has leaves half of his property to his widow and remaining to his mother, who is still alive. The mother now owns ₹88000 worth of the property. The total worth of the property of Mr. Sharma was

Correct Answer: (c) ₹128000
Solution:Let total property of Mr. Sharma be ₹16x.

8. X bought 4 bottles of lemon juice and Y bought one bottle of orange juice. Orange juice per bottle costs twice the cost of lemon juice per bottle. Z bought nothing but contributed ₹50 for his share of the drink which they mixed together and shared the cost equally. If Z’s ₹50 is covered from his share, then what is the cost of one bottle of orange juice? [2018 (II) Evening Shift]

Correct Answer: (b) ₹50
Solution:Let the cost of 1 bottle of lemon juice be ₹x.

9. If 65x - 33y = 97 and 33x - 65y = 1 then what is xy equal to? [2018 (I) Morning Shift]

Correct Answer: (a) 2
Solution:


10. At present the average of the ages of father and a son is 25 year. After 7 year the son will be 17 year old. What will be the age of the father after 10 year? [2018 (I) Morning Shift]

Correct Answer: (c) 50 year
Solution: