Question
In the given figure, radius of a circle is 14 √2 cm.
PQRS is a square. EFGH, ABCD, WXYZ and LMNO are four identical squares. What is the total area (in cm2 ) of all the small squares?Solution
Radius → 14√2, diameter = 28√2 Side = diagonal / √2 = 28√2 / √2 = 28 Side of square = 28 JO = 14 and JK = side of square small s Ok = 14 + 5 Kr = s/2 , and OX = 14√2 PGT ∆ OKx (S/2)2 + (14 + S)2 = (14√2)2 S2 / 4 + 196 + S2 + 285 = 392 S = 5.6 a2 = (5.6)2 = 31.36 = 31.36 × 4 = 125.44 cm2
4096 2048 514 64 4
...5     16     ?      66     119      200
...The number of terms in the sequence 5, 20, 80, 320,……………., 5120 is:
If Series II follows the same pattern as Series I, then determine the value of 'p'.
Series I: 36, 38, 48, 78, 146, 276
Series II: 49, __, __, __, __, p.
1 4 13 46 ? 976
...32 63 121 ? 453 889
...5Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â 6.5 Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â 20 Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â 113.5 Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â 799 Â ...
366Â Â Â 276Â Â Â 196Â Â Â 126Â Â Â 66Â Â Â ?
Select the option in which the numbers are related in the same way as are the numbers of the following set.
(25, 18, 225)
16 4 2 1.5 1 1.875
...
