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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’.
A certain dentist specializes in implanting gold and silver teeth in his patients mouths .He charges $ 650 for a gold tooth an $ 325. for a silver tooth. If his told fees for implanting gold and silver teeth last week were $ 15, 925 in total and he implanted five more gold teeth that silver teeth, how many teeth in total did he implant over the week?
Match List-I with List-II and select the correct answer using the codes given below: List-I (Animal) List-II (Teeth)  (a) Cow  (i) sharp curved teeth  (b) Cat  (ii) short front teeth  (c) Snake  (iii) continuously growing front teeth   (d) Squirrel   (iv) sharp teeth
When subtracting the square root of the square root of 625 from the square root of the square root of 1296, which of the following number is square root of the difference?
Which of the following represents the correct matching set.   Type of root   Example a) Taproot root i) Banyan tree b) Adventitious root ii) Carrot c) Prop root iii) Sugarcane d) Stilt root iv) Sweet potato
The interference between a given pinion tooth and a gear tooth can be avoided by using 1. smaller pressure angle 2. larger pressure angle 3. Less number of teeth on the gear for a pinion with predefined number of teeth 4. More number of teeth on the gear for a pinion with predefined number of teeth Which of the above statements are correct?
Consider the following statement: A ray of light passing through the optical centre of a convex lens emerges without any deviation after refraction. A ray of light passing through the first principal focus of a convex lens  emerges parallel to the principal axis after refraction. A ray of light passing through the optical centre of a convex lens emerges parallel to the principal axis after refraction. Which one of the following statements INCORRECT?
Circle A is 4 cm in diameter; circle B is 5 cm in diameter, Circle C has its circumference equal to the sum of the circumferences of both A and B together, What will be the ratio of the area of circle C, with respect to the area of circle A and circle B respectively? 
Which of the following statements is/are true? A: In a circle, PQ is a chord and OP and OQ are the radii of the circle. If ∠POQ = 90°, then ratio of the area of triangle POQ and that of circle will be 7: 22. B: Area of a circle is one-fourth of the product of ‘π’ and square of diameter of circle. C: Diameter of a semi-circle is 38(8/9)% of its perimeter.
Which two classes use the Shape class correctly?
A. public class Circle implements Shape { private int radius; }B. public abstract class Circle extends Shape { private int radius; }C. public class Circle extends Shape { private int radius; public void draw(); }D. public abstract class Circle implements Shape { private int radius; public void draw(); }E. public class Circle extends Shape { private int radius; public void draw() { /* code here */ } }F. public abstract class Circle implements Shape { private int radius; public void draw() { /* code here */ } }