EASY
CAT
IMPORTANT
Earn 100

An octagon is inscribed in a circle. One set of alternate vertices forms a square of area 5 units. The other set forms a rectangle area of 4 units. What is the maximum possible area for the octagon (in sq. units)?

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Important Questions on Measurement

EASY
CAT
IMPORTANT
Quantitative Aptitude for the CAT>Chapter 4 - Measurement>Benchmarking Test 4>Q 28
What is the largest number of the quadrilaterals formed by four adjacent vertices of an convex polygon of n sides that can have an inscribed circle?
EASY
CAT
IMPORTANT
Quantitative Aptitude for the CAT>Chapter 4 - Measurement>Benchmarking Test 4>Q 29
There are two circles with centres at A and B, respectively. The circle with centre A has a radius of 8 units and the circle with centre B has a radius of 6 units and the distance of AB is 12 units. Both the circles meet at points P and S. A line through P meets the circles again at Q and R (with Q on the larger circle) in such a way that Q P=P R. Find the length of Q P.
HARD
CAT
IMPORTANT
Quantitative Aptitude for the CAT>Chapter 4 - Measurement>Benchmarking Test 4>Q 30
A circle of 4 units is taken. Now, n circles of the same radii are inserted in this circle (1≤n≤10, where n is a natural number) in such a way that they are encompassing the maximum possible areas of the circle and are inside the bigger circle along its circumference. (Obviously, for n=1, radius of the inside circle will be same as the radius of the outside circle. Similarly, for n=2, radius of the inside circle will be half of the outside bigger circle and so on.) For how many values of n, radius of the circle will be an integer?