Calculate the area (in cm2 ) of a circle of radius 10.5 cm.
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If three numbers are in the ratio 2 : 3 : 5 and the twice their sum is 100. Find the square of the largest of the three numbers.
Which one among the following does not belong to the group?
What is the value of (32 cos6x – 48 cos4x + 18 cos2x – 1)/[4 sin x cos x sin (60 – x) cos (60 – x) sin (60 + x) cos (60 + x)]?
Shaan got a total of Rs. 912 in the denomination of equal numbers of Rs. 1, Rs. 5 and Rs. 10 coins. How many coins do Shaan posses?
Let O be the orthocentre of the triangle ABC. If ∠BOC = 150°, Then ∠BAC is
A cylindrical vessel of radius 6 cm is partially filled with water. By how much will the water level rise if a sphere of radius 5 cm is completely immersed in this water? (Take π = 22/7)
A number is greater than thrice its reciprocal by 26/3. What is the number?