Let N be the least positive integer such that whenever a non-zero digit c is written after the last digit of N, the resulting number is divisible by c. The sum of the digits of N is

(a) 9

(b) 18

(c) 27

(d) 36

The pair in which the first compound is ionic and the second compound is covalent, is

(a) Fe(OH)₂, CH₃OH

(b) Fe(OH)₂, Cu(OH)₂

(c) CH₃OH, CH₃CH₂OH

(d) Ca(OH)₂, Cu(OH)₂

A gas at initial temperature T undergoes sudden expansion from volume V to 2V. Then –

(A)  The process is adiabatic

(B)  The process is isothermal

(C)  The work done in this process is nRTln_e(2) where n is the number of moles of the gas.

(D)  The entropy in the process does not change 

In biotechnology applications, a selectable marker is incorporated in a plasmid 

(A)  to increase its copy number

(B)  to increase the transformation efficiency

(C)  to eliminate the non-transformants

(D)  to increase the expression of the gene of interest 

What fraction of the assimilated energy is used in respiration by the herbivores?

(a) ~ 10 per cent

(b) ~ 60 per cent

(c) ~ 30 per cent

(d) ~ 80 per cent

The mutation of a purine to a pyrimidine is known as 

(A)  transition

(B)  frame shift

(C)  nonsens

 (D)  transversion 

A positive integer K is said to be good if there exists a partition of {1, 2, 3,….,20} K in to disjoint proper subsets such that the sum of the numbers in each subset of the partition is K. Then good number are there 

(a) 5 

(b) 6 

(c) 7 

(d) 4

Consider the regular array of vertical identical current carrying wires (with direction of current flow as indicated in the figure below) protruding through a horizontal table. If we scatter some diamagnetic particles on the table, they are likely to accumulate –

(A)  around regions such as A 

(B)  around regions such as B

(C)  in circular regions around individual wires such as C

(D) uniformly everywhere

Let x, y, z be non-zero real numbers such that x/y+y/z+z/x=7 and y/x+z/y+x/z=9, then x³/y³+y³/z³+z³/x³-3 is equal to 

(A) 152 (B) 153 (D) 154 (D) 155

Which of the following is not true about the total lunar eclipse?

(a) A lunar eclipse can occur on a new moon and full moon day

(b) The lunar eclipse would occur roughly every month, if the orbits of earth and moon were perfectly coplanar

(c) The moon appears red during the eclipse because the blue light is absorbed in earth’s atmosphere and red is transmitted

(d) A lunar eclipse can occur only on a full moon day