Mathematics
Madan Singh runs a rental car company. He charges ₹ 250 per day plus ₹ 15 for every kilometre the car is driven. Professor Dayal rents a car for 1 day, while his own car is being repaired. He assures Madan Singh that he will pay him more than ₹ 500 as rent for the day.
(1) The inequality for the rent paid by Dayal for 1 day is :
- 3x < 100
- x > 25
- 3x > 50
- x < 75
(2) The solution set for the inequality obtained above is given by :
- {16, 17, 18, ……………}
- {17, 18, 19, ……………}
- {19, 20, 21, ……………}
- {20, 21, 22, ……………}
(3) Dayal estimated that the rent for 1 day would be less than ₹ 600 as he calculated the distance he has to drive the car. The inequality for the rent in this case would be :
- y > 30
- 2y < 35
- 3y < 70
- 4y > 45
(4) The solution set for the above inequality is given by :
- {……………, 20, 21, 22, 23}
- {……………, 17, 18, 19, 20}
- {……………, 18, 19, 20, 21}
- {……………, 15, 16, 17, 18}
Related Questions
Assertion: If 2x + 3 > 8, then 2x + 3 - 3 > 8 - 3.
Reason: Subtracting a number from each side of an inequality reverses the inequality.
- Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A).
- Both Assertion (A) and Reason (R) are true and Reason (R) is not the correct explanation of Assertion (A).
- Assertion (A) is true but Reason (R) is false.
- Assertion (A) is false but Reason (R) is true.
Assertion: The solution set of the inequality 2x - 1 > 7, x ∈ N is {1, 2, 3}.
Reason: Taking the reciprocal of each side of an inequality, reverses the inequality.
- Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A).
- Both Assertion (A) and Reason (R) are true and Reason (R) is not the correct explanation of Assertion (A).
- Assertion (A) is true but Reason (R) is false.
- Assertion (A) is false but Reason (R) is true.