LINEAR EQUATIONS IN ONE AND TWO VARIABLES (CDS)

Total Questions: 41

11. ₹120 is distributed among A B, and C so that A’s share is ₹20 more than B’s and ₹20 less than C’s. What is B’s share? [2018 (I) Morning Shift]

Correct Answer: (c) ₹20
Solution:Let B’s share be ₹x.

12. At present the average of the ages of a 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:Given,

13. A gentleman left a sum of ₹39,000 to be distributed after his death among his widow, five sons and four daughters. If each son receives 3 times as much as a daughter receives and each daughter receives twice as much as their mother receives, then what is the widow’s share? [2018 (I) Morning Shift]

Correct Answer: (a) ₹1,000
Solution:Let the share which mother receives be ₹x.

14. Five years ago, Ram was three times as old as Shyam. Four years from now, Ram will be only twice as old as Shyam. What is the present age of Ram? [2017 (II) Evening Shift]

Correct Answer: (b) 32 year
Solution:Let the present age of Shyam be x yr and age of Ram be y yr. Then according to question,

15. If 78 is divided into 3 parts which are proportional to 1, 1/3, 1/6, then the middle part is [2017 (II) Evening Shift]

Correct Answer: (c) 52/3
Solution:

16. Solve the following equation [2017 (I) Morning Shift]

Correct Answer: (c) 25
Solution:


17. The pair of linear equations kx + 3y + 1 = 0 and 2x + y + 3 = 0 intersect each other, if [2017 (I) Morning Shift]

Correct Answer: (b) k ≠ 6
Solution:For the system of linear equations

18. Sunil wants to spend ₹200 on two types of sweets, costing ₹7 and ₹10 repectively. What is the maximum number of sweets he can get so that no money is left over? [2017 (I) Morning Shift]

Correct Answer: (b) 26
Solution:Let the number of sweets purchased at the rate ₹7 and ₹10 be x and y respectively.

19. The system of equations 2x + 4y = 6 and 4x + 8y = 8 is [2017 (I) Morning Shift]

Correct Answer: (c) inconsistent
Solution:

20. Leela got married 6 yr ago. Today her age is 1¼ times her age at the time of her marriage. Her son's age is 1/10 age. What is the present age of her son? [2017 (I) Morning Shift]

Correct Answer: (c) 3 year
Solution:Let the age of Leela at her marriage was x year.