Directions (1-3): Pie-chart given below shows investment (in terms of percentage) out of total investment of five different persons. Study the questions carefully and answer them.
Q1. B and E started a business together. B left the business 9 months after starting of business. Find the difference between profit shares of B and E if total annual profit is Rs. 15,400?
Q2. A and D started a business together, after 6 months ‘A’ is replaced by ‘C’. D left the business after 2 months of ‘A’ while ‘C’ worked for total ‘x’ months. Out of total profit of Rs 13,050, ‘A’ got Rs 6750, then find the value of ‘x’.
Q3. ‘A’, ‘F’ and ‘C’ started a business together. F invested Rs. 4000 more than the amount invested by C. F left the business after 6 months of starting of business. After 2 more months, ‘C’ left the business. Out of annual profit if A and C together got Rs 8750, then find total annual profit got by all three together?
Directions (4-6): The following questions are accompanied by three statements (I), (II), and (III). You have to determine which statement(s) is/are sufficient /necessary to answer the questions
Q4. What is the distance between A and B ?
I. Two persons Amit and Abhi started simultaneously from A to B with their speed in ratio 4 : 5.
II. Abhi reached B one hour earlier than Amit.
III. Difference between speed of Amit and Abhi is 20 km/hr.
Q5. What is the area of rectangle ?
I. If ratio of length and breadth of the rectangle is 3 : 2.
II. Circumference of a circle is 440 m and breadth of rectangle is 1/7th of radius of the circle.
III. If length is 50% more than breadth.
Q6. How many students failed in class 11th ?
I. 400 Students passed in class 11th.
II. No. of students failed in class 11th is 20% of those failed in class 12th.
III. Ratio of students appeared to that of failed in class 11th is 5 : 3.
Q7. If length of a rectangle is decreased by 6 cm we get a square and the area of square formed is 252less than the area of square formed when breadth of the original rectangle is increased by 6 cm. Find the perimeter of the rectangle.
Q8. Equal distance is covered by a boat in upstream and in down stream in total 5 hours. Sum of speed of the boat in upstream and downstream is 40 km/hr. Speed of boat in still water is 600% more than the speed of stream. Find the approximate distance covered by boat in downstream(in km).
Q9. A starts a business, after 6 months B also joins him with Rs.4500 and after 2 months of B’s joining C also joins them with Rs.4500. If A gets approx Rs 4900 out of total annual profit of Rs.10,000, then find the approximate value of initial investment of A.
Q10. X and Y entered into a partnership with Rs. 700 and Rs. 600 respectively. After 3 months, X withdrew two-sevenths of his stock but after another 3 months, he puts back three-fifths of what he had withdrawn. The total profit at the end of the year is Rs. 726. How much of this should X receive?
Directions (11-15):Solve the given quadratic equations and mark the correct option based on your answer—
Q11.
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