Directions: Enter your answer as an integer or a decimal if there is a single answer box OR as a fraction if there are two separate boxes — one for the numerator and one for the denominator.
2. Three vertices of a square ABCD are A(3,4), B(9/2,1/2) and D(-1/2,5/2). What is the abscissa of the fourth vertex C if its ordinate is -1?
3. Amit and Pooja take up a contract for Rs 20000. Amit alone can finish the contract in 60 days and Pooja alone can do it in 80 days. With the help of another partner, they finish the job in 30 days. How much is the partner’s share?
Rs
4. How many times in a day are the hands of a clock in a straight line?
5. What is the remainder when x3+4x2+4x+3 is divided by (x+3)?
6. Find the value of (10+a) if (x – 5) is a factor of 2x3-7x2-14x+a.
7. What is the place value of 5 in the number 765432?
8. Three pieces of cloth have lengths 250 meters, 110 meters and 150 meters. What is the longest measuring tape in meters that can be used to measure the lengths of the three pieces exactly?
9. Amit scored 20% in a paper with maximum marks 150. He is to appear for another paper of 350 marks and he has to obtain 50% aggregate to pass both the exams. What are the least marks that he should score in the second exam?