How many circles can be drawn in the plane such that any two of them touch each other at the same fixed point.

(A) Two 

(B) Three 

(C) Four 

(D) Infinitely many

Which of the following best describes what the microwave background radiation is ?

(A) The particles that move throughout the Universe that were created during the Big Bang and thrown out

(b) Radiation that is present everywhere in the Universe that came from time when light first was able to travel through the early universe without being absorbed. 

(C) The shock wave or echo that travels throughout the Universe that marks the event we call the Big Bang.

(D) The total light we observe when we look at the black body curve for all the wavelengths of radiation given off by all the stars in the Universe.

If all nuclear reaction in the sun now were to suddenly stop for ever, then

(A) Distances between planets and sun would decrease

(B) Angular momentum of planets would increase

(C) Inner planets will be engulfed by the sun

(D) Speed of rotation of the sun would increase

Let z be a complex number such that |z + 2| + |z – 3| = 5. Then the locus of z is :

(A) and ellipse 

(B) a straight line segment

(C) a circle 

(D) a hyperbola

A certain number of boys and girls can be seated in a row such that no two girls are together in 1440 ways. If one more boy joins them, the number of ways in which they can be seated in a row such that no two girls are together increases.

(A) 4-fold 

(B) 6-fold 

(C) 8-fold 

(D) 10-fold

3D images of moon were obtained by

(A) Luna mission 

(B) Apollo mission

(C) Hubble Space Telescope 

(D) Chandrayaan mission