In a 100m race A beats B by 10m, B beats C by 5m. By how many meters does A beat C?

• 15.0 m

• 5.5 m

• 10.5 m

• 14.5 m

Suppose (i) "A*B" means " A is the father of B",(ii) "A Δ B" means "A is the husband of "B, (iii) "A ∇ B" means "A is the wife of B" and (iv) "A $\square$B", means "A is the sister of B". Which of the following represents "C is the father-in-law of sister of D"?

• $\mathrm{C}\nabla \mathrm{E}* \mathrm{F} \square \mathrm{D}$

• $\mathrm{C}*\mathrm{E}\nabla \mathrm{F} \square \mathrm{D}$

• $\mathrm{C}∆\mathrm{E}* \mathrm{F} \square \mathrm{D}$

• $\mathrm{C}*\mathrm{E}\nabla \mathrm{F} \square \mathrm{D}$

In the group of 11 persons, each shakes hand with every other once and only once. What is the total number of such hand shakes?

• 110

• 121

• 55

• 66

Path of a ray of light between two mirrors is shown in the digram. If the lenght of each mirror is 'l', what is the total path lenght of the ray between the mirrors?

• $\frac{3}{4}\mathrm{l}$

• $\frac{4}{3}\mathrm{l}$

• $\frac{3}{2}\mathrm{l}$

• 2l

What is the value of (1+3+5+7+.......+4033)+7903×2017?

• 20170000

• 20172017

• 20171720

• 20172020

The cell maintains a high concentration of protons inside the lysosome because of

• antiporter in the lysosomal membrane

• ATP-powered proton pump in the lysosomal membrane 

• facilitated diffusion proton channel in the lysosomal membrane 

• facilitated diffusion proton uniporter in the lysosomal membrane 

It is known that there is a large difference in the DNA content between two organisms with similar developmental complexity. This is due to large differences in the number of

• transposable elements, repetitive DNA and coding sequences

• transposable elements and repetitive DNA

• introns and coding sequences

•  introns and transposable elements 

A uracil containing plasmid was constructed and was used in transformation into the wild type (ung’) and uracil-N-glycosylase mutated (ung’) E. coli cells and scored for transformants in the presence of appropriate antibiotics. Which one of the following statements correctly describes the experimental outcome?

• ung’ cells will have fewer transformants compared to ung’ cells.

• ung’ cells will give fewer transformants compared to ung’ cells

• No transformants will be obtained in ung’ cells as uracil excision repair will not occur and the plasmid would not replicate.

• Presence of uracil in DNA is unnatural and the plasmid DNA with uracils in it will not produce transformants in either ung’ or ung’ cells. 

E. coli takes 40 min. to duplicate its genome using a bi-directional mode of replication. If E. coli were to use uni-directional mode of replication to synthesize a full copy of DNA complementary to just one of the strands of the genome, it would take

• 40 min

• 80 min

• 20 min

• 60 min

Transcriptional regulation of trp operon by tryptophan inolves binding of tryptophan to 

• the repressor protein and inhibition of transcription by its interaction with the operator region.

• RNA polymerase and inhibition of transcription. 

•  The repressor protein leading to structural changes and its degradation by proteases. 

• the repressor protein leading to its interaction with the sigma subunit and inhibition of transcription.