CAT4MBA

Q1. ABC is an equilateral triangle inscribed in a circle. P is any point on the minor arc BC. then
a. PA =1.327(PB +PC)
b. PA = PB +PC
c. PA = PB +2 PC
d. PA = 2 PB +PC

Q2. A quadrilateral is inscribed in a circle. If an angle is inscribed in each of the segments outside the quadrilateral, then what is the sum of the four angels?
a. 270 degree
b. 360 degree
c. 540 degree ----
d. 720 degree

Q3. A point P is outside a circle and is 13 inches from the center. A secant from P cuts the circle at Q and R so that the external segment of the secant PQ is 9 inches and QR is 7 inches. The radius of the circle is:
a. 3 in
b. 4 in
c. 5 in
d. None of the above

Q4. Two chords GH and EF are drawn in such a way that chord GH bisects chord EF at point O. If the length of GO is 4 cm and the length of OH is 8 cm, find the length of chord EF
a. 8 √2
b. 7 √3
c. 5 √2
d. None of the above

Q5. P, Q, S and R are points on the circumference of a circle of radius r, such that PQR is an equilateral triangle and PS is a diameter of the circle. What is the perimeter of the quadrilateral PQRS ?
a. r(1+ √3)
b. 2r(1+ √ 3)
c. r(1+ √ 5)
d. 2r+ √ 3
       

Q6. Each of two angles of a triangle is 60 degree and the included side is 4 cm. The area of the triangle, in square cm, is:
a. 8 √ 3
b. 8
c. 4 √ 3
d. None of the above