ESE 2022 General Studies Test 4

Three cubes each of volume of 216 m3 are joined end to end. The surface area of the resulting figure is

Two circle touches internally. The sum of their areas is 116π cm2 and distance between their centres is 6 cm. The radius of bigger circle, is

If sum of the roots of the equation ax2 + bx + c = 0 is equal to the sum of their squares, then which one of the following is correct?

What is the least integral value of k for which the equation x2 – 2(k – 1)x + (2k + 1) = 0 has both the roots positive?

In the AMS club, all the members participate either in the Tambola or the Fete, 420 participate in the Fete, 350 particle in the Tambola and 220 participate in both. How many members does the club have?