In each question two equations numbered I and II are given. You have to solve both the equations and mark the appropriate option.

I. 28x² − 79x + 55 = 0  

II. 72y² − 91y + 24 = 0

In each question two equations numbered I and II are given. You have to solve both the equations and mark the appropriate option.

I. 104x² − 131x + 35 = 0

II. 88y² − 181y + 91 = 0

On a sum of money, the simple interest earned for three years is Rs.10,800 and the compound interest earned for two years at the same rate of interest when compounded annually is Rs.7,740. What is the rate of interest?

Kamal scored 86 marks in subject A, 64% of marks in subject B and x marks in subject C. The maximum marks in each subject are 150. The overall percentage of marks scored by him in all the three subjects together was 56%. Find x.

Anil and Bhargav started a business by investing amounts in the ratio 5 : 6. After six months Chanakya joined the business with an amount of Rs.48,000. At the end of the year they shared the profit in the ratio 5 : 6 : 4. What was the total amount invested by Anil and Bhargav together?

A trader sold a television at a discount of 20%, thereby obtaining a profit of 16%. Had he sold it at the marked price, he would have gained a profit of Rs.10,800. What is the price at which he sold the television?

The ratio of the ages of Akhil and his father, three years ago, was 5 : 13. After six years the ratio of the ages of Akhil and his mother will be 4 : 7. The sum of the present ages of his father and mother is 78 years. What is the present age of Akhil?

Three marbles are drawn at random from a bag having three red marbles, four blue marbles and five green marbles. What is the probability that all the marbles are of the same colour?

In an examination there are a total of 150 questions, each correct answer was awarded two marks, half mark was deducted for every wrong answer and no marks for unanswered questions. A student answered 72% of the questions, of which the ratio of the number of correct answers to the number of wrong answers is 5 : 1. What were the marks scored by the student?

A, B and C invest Rs.150000 Rs.250000 and Rs.350000 respectively into a partnership firm. ‘A’ is given Rs.1000 per month as salary, B is given 10% commission of profit after deducting the salary given to A and the remaining profit is shared among them. At the end of the year if ‘B’ received a total of Rs.30000 as his share, find the total profit earned.