Jitender Gupta and Divya Malik Solutions for Exercise 3: SAMPLE QUESTION PAPER

For what values of $a$ is $2x^3+a{x}^2+11x+a+3$exactly divisible by $(2x-1)$?

Rashmi deposits $₹240$ per month at $10\%$ per annum in a bank and the bank pays her $₹4662$ on maturity, then find the total time(in months) for which the account is held.

The third term of a GP is $4$. Find the product of first five terms.

$17$ cards numbered $1,2,3, ... ,17$ are put in a box and mixed thoroughly. One person draws a card from the box. Find the probability that the number on the card is odd.

$17$ cards numbered $1,2,3, ... ,17$ are put in a box and mixed thoroughly. One person draws a card from the box. Find the probability that the number on the card is a prime.

$17$ cards numbered $1,2,3, ... ,17$ are put in a box and mixed thoroughly. One person draws a card from the box. Find the probability that the number on the card is divisible by $3$.

$17$ cards numbered $1, 2, 3,...,17$ are put in a box and mixed thoroughly. One person draws a card from the box. Find the probability that the number on the card is divisible by $3 \text{and} 2$ both.

The price of a spider toy is $₹3136$ inclusive tax (under GST) at the rate of $12\%$ on its listed price. A buyer asks for a discount on the listed price, so that after charging GST, the selling price becomes equal to the listed price. Find the amount of discount (in rupees) which the seller has to allow for the deal.