Question 14 Marks
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.
Q.1. The inequality for the rent paid by Dayal for 1 day is :
(a) $3 x<100$$\quad$$\quad$ (b) $x>25$ $\quad$$\quad$(c) $3 x>50$ $\quad$$\quad$(d) $x<75$
Q.2. The solution set for the inequality obtained above is given by :
(a) $\{16,17,18, \ldots\}$ $\quad$(b) $\{17,18,19, \ldots\}$$\quad$ (c) $\{19,20,21, \ldots\}$ $\quad$(d) $\{20,21,22, \ldots\}$
Q.3. Dayal estimated that the rent for 1 day would be less than $₹ 600$ as he calculated the distance he has to drive the car. The inequality for the rent in this case would be :
(a) $y>30$ $\quad$$\quad$(b) $2 y<35$ $\quad$$\quad$(c) $3 y<70$ $\quad$$\quad$(d) $4 y>45$
Q.4. The solution set for the above inequality is given by :
(a) $\{\ldots ., 20,21,22,23\}$ $\quad$$\quad$(b) $\{\ldots ., 17,18,19,20\}$
(c) $\{\ldots ., 18,19,20,21\}$ $\quad$$\quad$(d) $\{\ldots ., 15,16,17,18\}$
Q.1. The inequality for the rent paid by Dayal for 1 day is :
(a) $3 x<100$$\quad$$\quad$ (b) $x>25$ $\quad$$\quad$(c) $3 x>50$ $\quad$$\quad$(d) $x<75$
Q.2. The solution set for the inequality obtained above is given by :
(a) $\{16,17,18, \ldots\}$ $\quad$(b) $\{17,18,19, \ldots\}$$\quad$ (c) $\{19,20,21, \ldots\}$ $\quad$(d) $\{20,21,22, \ldots\}$
Q.3. Dayal estimated that the rent for 1 day would be less than $₹ 600$ as he calculated the distance he has to drive the car. The inequality for the rent in this case would be :
(a) $y>30$ $\quad$$\quad$(b) $2 y<35$ $\quad$$\quad$(c) $3 y<70$ $\quad$$\quad$(d) $4 y>45$
Q.4. The solution set for the above inequality is given by :
(a) $\{\ldots ., 20,21,22,23\}$ $\quad$$\quad$(b) $\{\ldots ., 17,18,19,20\}$
(c) $\{\ldots ., 18,19,20,21\}$ $\quad$$\quad$(d) $\{\ldots ., 15,16,17,18\}$
Answer
View full question & answer→1. (C)
2. (B)
3. (C)
4. (A)
2. (B)
3. (C)
4. (A)