GATE BT 2018 • Q18 MCQ • 1 Mark

Section 1: Engineering Mathematics

Linear Algebra

Subtopic: Fundamentals of Linear Algebra

Question Statement:

A mixture contains three similarly sized peptides P, Q and R. The peptide P is positively charged, Q is weakly negative and R is strongly negative. If this mixture is passed through an ion-exchange chromatography column containing an anionic resin, their order of elution will be

Options:

  • (A) P, Q, R
  • (B) R, Q, P
  • (C) Q, R, P
  • (D) P, Q and R elute together

Official Answer Key:

B

Step-by-Step Solution & Explanation

### **Official Solution & Step-by-Step Derivation (GATE BT 2018 Q.18)** **1. Governing Concept & Question Classification**: - **Section**: BT - **Question Type**: **MCQ** (1 Mark) - **Topic**: Downstream Processing / Chromatography (Ion Exchange & Hydrophobic Interaction Chromatography) **2. Detailed Step-by-Step Analysis**: - The peptide mixture consists of similarly sized peptides: - Peptide **P**: Positively charged. - Peptide **Q**: Negatively charged. - Peptide **R**: Electrically neutral, highly hydrophobic. - **Anion-exchange chromatography (AEC)**: - The stationary phase has a **positively charged matrix** (e.g., DEAE). - Positively charged peptide **P** is repelled by the cationic matrix and elutes immediately in the flow-through/unbound fraction. - Neutral peptide **R** does not bind via ionic interactions and elutes without binding. - Negatively charged peptide **Q** binds strongly to the positively charged matrix via electrostatic interactions and is retained until eluted with high salt (e.g., NaCl gradient). - Therefore, AEC successfully binds and purifies peptide **Q**, separating it from P and R. - **Hydrophobic interaction chromatography (HIC)**: - Relies on hydrophobic interactions between nonpolar patches on proteins and hydrophobic ligands (e.g., phenyl, octyl, or butyl groups) on the matrix at high salt concentrations (e.g., $(NH_4)_2SO_4$). - Peptide **R** is highly hydrophobic, so it binds tightly to the HIC matrix, whereas hydrophilic/charged peptides P and Q have minimal hydrophobic affinity and elute earlier. - Eluting with a decreasing salt gradient releases peptide **R** in pure form. - Thus, Anion-exchange followed by Hydrophobic interaction chromatography (or vice versa) uniquely resolves all three peptides. - **Option-by-Option Evaluation**: - **Option (A) [INCORRECT]**: Cation exchange binds P, but reverse phase would not cleanly resolve Q from R without severe denaturing conditions compared to HIC. - **Option (B) [CORRECT]**: Anion-exchange separates negatively charged Q, and Hydrophobic interaction chromatography isolates neutral hydrophobic peptide R. - **Option (C) [INCORRECT]**: Size-exclusion chromatography (gel filtration) cannot separate similarly sized peptides. - **Option (D) [INCORRECT]**: Cation exchange and size exclusion fails because size exclusion cannot resolve similarly sized peptides. **3. Final Answer / Verification Summary**: - **Official GATE Answer Key**: **B** - **Scoring Criteria**: +1.0 Mark (Negative marking: -0.33 marks).

Practice This in Real CBT Exam Interface

Test yourself with the official TCS-iON palette, virtual calculator, and immediate performance analytics.

Launch CBT Mock Test