How many ways are there to arrange the letters of the word EDUCATION so that all the following three conditions hold ? – the vowels occur in the same order (EUAIO) – the consonants occur in the same order (DCTN) – no two consonants are next to each other 

(A)  15

(B)   24

(C)  72

(D)   120

Consider the set A = {1, 2, 3, ….., 30}. The number of ways in which one can choose three distinct number from A so that the product of the chosen numbers is divisible by 9 is

(a) 1590

(b) 1505

(c) 1110

(d) 1025

Restriction endonucleases are enzymes that are used by biotechnologists to –

(A) cut DNA at specific base sequence

(B)  join fragments of DNA

(C)  digest DNA from the 3′ end

(D)  digest DNA from the 5′ end

A bird sitting on a single high tension wire does not get electrocuted because

(A)  the circuit is not complete.

(B)  the bird feet has an insulating covering.

(C)  capacitance of the bird is too small and the line frequency is too small.

(D)  resistance of the bird is too high  

Concentration of Na⁺ ions outside a nerve cell is ~100 times more than inside. The concentration of K⁺ ions is more inside the cells. The levels of Na+ ions and K⁺ ions are maintained by

(A) free diffusion of Na⁺ ions and pumping of K + ions across the membrane.

(B)  Na⁺ and K⁺ pumps in the membrane.

(C)  free diffusion of K⁺ ions and pumping of Na + ions across the membrane.

(D)  water channels formed by lipids in the membrane.  

At 298 K, assuming ideal behaviour, the average kinetic energy of a deuterium molecule is

(a) two times that of a hydrogen molecule

(b) four times that of a hydrogen molecule

(c) half of that of a hydrogen molecule

(d) same as that of a hydrogen molecule

The electronegativity of the following elements increases in the order 

(a) C < N < Si < P 

(b) N < Si < C < P 

(c) Si < P < C < N 

(d) P < Si < N < C

A spring balance A reads 2 kg when a block of mass m suspended from it. Another balance B reads 3 kg when a beaker with a liquid is put on its pan. The two balances are now so arranged that the hanging mass m is fully immersed inside the liquid in to be beaker as shown in the figure. In this situation.

(A) the balance A will read 2 kg and B will read 5 kg.

(B) the balance A will read 2 kg and B will read 3 kg.

(C) the balance A will read less than 2 kg and B will read between 3 kg and 5 kg.

(D) the balance A will read less than 2 kg and B will read 3 kg.

In the figure below a ray of light travelling in a medium of refractive index µ passes through two different connected rectangular blocks of refractive indices µ₁ and µ₂ (µ₂ > µ₁). 

The angle of incidence θ₁ is increased slightly. The angle θ₂  

(A) increases. 

(B) decreases. 

(C) remains the same 

(D) increases or decreases depending on the value of (µ₁ /µ₂)

DNA fragments are 

(a) positively charged 

(b) negatively charged 

(c) neutral 

(d) either positively or negatively charged depending on their size