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Standard XII

Mathematics

Combination

A group of st...

Question

A group of students decided to buy a Alarm Clock priced between Rs. 170 to Rs 195. But at the last moment, two students backed out of the decision so that the remaining students had to pay 1 Rupee more than they had planned. If the students paid equal shares, the price of the Alarm Clock is

190

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196

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180

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171

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Solution

The correct option is C
180

Let cost of clock = x

number of students = n

$t h e n \frac{x}{n - 2} = \frac{x}{n} + 1 \Rightarrow x = \frac{n^{2} - 2 n}{2} \Rightarrow 170 \leq \frac{n^{2} - 2 n}{2} \leq 195$

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A group of students decided to buy a Alarm Clock priced between Rs. 170 to Rs 195. But at the last moment, two students backed out of the decision so that the remaining students had to pay 1 Rupee more than they had planned. If the students paid equal shares, the price of the Alarm Clock is

The correct option is C 180 Let cost of clock = x number of students = n then xn−2=xn+1⇒x=n2−2n2⇒170≤n2−2n2≤195

The correct option is C
180

Let cost of clock = x

number of students = n

$t h e n \frac{x}{n - 2} = \frac{x}{n} + 1 \Rightarrow x = \frac{n^{2} - 2 n}{2} \Rightarrow 170 \leq \frac{n^{2} - 2 n}{2} \leq 195$