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A square is inscribed in a quarter circle in such a way that two of its adjacent vertices on the radius are equidistant from the centre and other two vertices lie on the circumference. If the side of square is √(5/2) cm, then what is the radius (in cm) of the circle?

A square is inscribed in a quarter circle in such a way that two of its adjacent vertices on the radius are equidistant from the centre and other two vertices lie on the circumference. If the side of square is √(5/2) cm, then what is the radius (in cm) of the circle? Correct Answer 2.5

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A square is inscribed in a quarter circle in such a way that two of its vertices on the radius are equidistant from the centre and one vertice lie on the circumference. If the side of square is √(5/2) cm, then what is the radius (in cm) of the circle?
In a city, in the year 2019, the price of petrol increased by 25% in the first quarter, increased by 33.33% in the second quarter, fell by 20% in the third quarter and then, again fell by X% in the fourth quarter. If the price of petrol at the end of the fourth quarter was the same as it was at the beginning of the first quarter, then, what is the value of X?
The following table gives the average prices per quarter of vegetables over 2 years. In which quarter was the difference in price maximum?   price per kg (in ₹) year 1 price per kg (in ₹) year 2  quarter 1 36 40  quarter 2 80 80  quarter 3 65 40  quarter 4 43 40
If XYZ is a quarter circle and a circle is inscribed in it and if XY = 7 cm, then, what is the area of the circle inscribed in the quarter circle?
Which of the following statements is/are true? A: If a circle is formed from a wire, which was initially in the shape of a semi-circle, then ratio of radius of circle and that of semi-circle will be 7: 11. B: If in a semi-circle of radius ‘r’, another semi-circle of radius ‘4r/5’ is drawn, then area of the remaining part of larger semi-circle will be ‘3πr2/5’. C: In a circle of radius ‘r’, if ‘O’ is the center of circle and radii OA and OB are at the angle of 45°, then the length of major arc AB will be ‘7πr/8’.
Given below are three quantities named 1, 2 and 3. Based on the given information, you have to determine the relationship between the three quantities. You should use the given data and knowledge of Mathematics to choose between the possible answer. Quantity 1: Area of the innermost square. A square is made by joining the midpoints of a square of area 200 sq. m. The outermost square is called Square 1, The square inside it is called Square 2. The next square is made by joining midpoints of square 2 and is called Square 3. This process goes on. Square 5 is the innermost square. Quantity 2: A man starts with a speed of 10 km/hr. He increases his speed by 10 km/hr every hour at the start and drives at the same speed for that hour. If he traveled a total distance of 550 km. Find the time Quantity 3: Height of cylinder Its volume is equal to the volume of a cone whose radius is 14 cm and height is 39.3 cm. The radius of the cylinder is 14 cm
The volume of sales in a store is recorded for four different quarters. The following is the data. Quarters Volume of sales Quarter 1 200 Quarter 2 100 Quarter 3 350 Quarter 4 550   What are the average sales per quarter?
Consider a circle with centre at C. Let OP, OQ denote respectively the tangents to the circle drawn from a point O outside the circle. Let R be a point on OP and S be a point on OQ such that OR × SQ = OS × RP. Which of the following statement(s) is/are correct? (1) If X is the circle with centre at O and radius OR, and Y is the circle with centre at O and radius OS, then X = Y (2) ∠POC + ∠QCO = 90° Select the correct answer using the code given below.
Inside a circle with centre O, two equal chords of length 8 cm are drawn parallel to each other. If the distance between the chords is 6 cm, then find the area of the rhombus which can be formed between the chords whose two vertices lie on the circle and the other two lie on the chords.
In each question below is given a statement numbered I, II and III. An assumption is something supposed or taken for granted. You have to consider the following assumption and decide which of the assumption is implicit in the statement. Statement: The June 2018 quarter results of Infosys reflect that the investors waiting for the company to perform as good, if not better, than its largest peer Tata Consultancy Services (TCS) may have to wait a little longer. Infosys, the country’s second-largest software exporter reported slower sequential growth in revenue and profit than TCS for the June quarter (Q1). It also lagged on the fronts of employee attrition and growth in the banking, financial services, and insurance (BFSI) vertical.  Assumptions: I. On the positive side, Infosys continued to add large clients – four in the above $100-million billing category compared with the previous quarter. It continued to retain guidance of 6-8% revenue growth for FY19 while retaining the operating margin band of 22-24%. II. In the near term, the stock performance of TCS is likely to overshadow Infosys given the difference in their growth trajectories. III. The growth momentum of Infosys has slowed relative to TCS. The year-on-year growth in trailing 12-month (TTM) revenue of Infosys in each of the four quarters up to the June 2018 quarter has lagged TCS after leading in the previous five quarters.