\[\begin{gathered} What\,will\,be\,the\,value\,of\,'a'\,in\,the\,given\,divide\,difference\,table? \hfill \\\ \begin{array}{*{20}{c}} x&y&{1stD.D}&{2ndD.D}&{3rdD.D} \\\\ 2&{0.5}&{0.3}&a&{} \\\\ 4&{1.1}&{0.3}&{ - 0.0125}&{ - 0.0021} \\\\ 6&{1.7}&{0.25}&{}&{} \\\\ 8&{2..2}&{}&{}&{} \end{array} \hfill \\\\ \end{gathered} \]

• A) 0.0893
• B) 0.0612
• C) 0.0115
• D) 0

If any ten data points are given,the degree of Lagrange's interpolation polynomial could be

• A) eleven
• B) twelve
• C) nine
• D) ten

\[\Delta = - - - \]

• A) $E\,\, - \,\,1$
• B) $1 - E$
• C) \[\frac{{E - 1}}{2}\]
• D) None

\begin{gathered} Which\,of\,the\,following\,method\,can\,be\,used\,for\,{\text{interpolation}}\,for\,the\,given\,values\,of\,x\,and\,y? \hfill \\ \begin{array}{*{20}{c}} x&3&4&6 \\\ y&{0.067}&{0.248}&{0.518} \end{array} \hfill \\\ \end{gathered}

• A) Lagrange’s interpolation formula
• B) Newton’s backward difference formula
• C) Newton’s forward difference formula
• D) Newton’s interpolation formula

\[\begin{gathered} What\,will\,be\,the\,value\,of\,'a'\,in\,the\,given\,divide\,difference\,table? \hfill \\ \begin{array}{*{20}{c}} x&y&{1stD.D}&{2ndD.D} \\\ 3&{0.4}&{}&{} \\\ 6&{0.9}&{0.1667}&{} \\\ 9&{1.7}&{0.2667}&a \end{array} \hfill \\\ \end{gathered} \]

• A) 0.0349
• B) 0.0254
• C) 0.0167
• D) 0.0211

\[For\,the\,given\,data\,{\text{points}}\,(2,0.3),\,(4,1),\,and\,(6,1.2)\,\,the\,divide\,difference\,table\,will\,be\,given\,as\]

• A) \[\begin{array}{*{20}{c}} x&y&{1stD.D}&{2ndD.D} \\\ 2&{0.3}&{0.1}&{} \\\ 4&1&{ - 0.0625}&{0.35} \\\ 6&{1.2}&{}&{} \end{array}\]
• B) \[\begin{array}{*{20}{c}} x&y&{1stD.D}&{2ndD.D} \\\ 2&{0.3}&{0.35}&{} \\\ 4&1&{0.1}&{ - 0.0625} \\\ 6&{1.2}&{}&{} \end{array}\]
• C) \[\begin{array}{*{20}{c}} x&y&{1stD.D}&{2ndD.D} \\\ 2&{0.3}&{ - 0.0625}&{} \\\ 4&1&{0.1}&{0.35} \\\ 6&{1.2}&{}&{} \end{array}\]
• D) \[\begin{array}{*{20}{c}} x&y&{1stD.D}&{2ndD.D} \\\ 2&{0.3}&{ - 0.0625}&{} \\\ 4&1&{0.35}&{0.1} \\\ 6&{1.2}&{}&{} \end{array}\]

\[For\,the\,given\,data\,{\text{points}}\,(2,5),\,(4,7),\,and\,(6,9),\,the\,zero - order\,divide\,difference\,will\,be\,\]

• A) 2
• B) 5
• C) 0
• D) 1

\[\begin{gathered} Which\,of\,the\,following\,method\,can\,be\,used\,for\,{\text{interpolation}}\,for\,the\,given\,values\,of\,x\,and\,y? \hfill \\ \begin{array}{*{20}{c}} x&3&4&6 \\\ y&{0.067}&{0.248}&{0.518} \end{array} \hfill \\\ \end{gathered} \]

• A) Newton’s forward difference formula
• B) Lagrange’s interpolation formula
• C) Newton’s interpolation formula
• D) Newton’s backward difference formula

\[\begin{gathered} For\,the\,given\,divide\,difference\,table \hfill \\ \begin{array}{*{20}{c}} x&y&{1stD.D}&{2ndD.D} \\\ 2&{2.2}&{0.325}&{} \\\ 6&{3.5}&{0.15}&{ - 0.0219} \\\ {10}&{4.1}&{}&{} \end{array} \hfill \\ the\,Newton's\,divide\,difference\,\,{\text{interpolation}}\,formula\,will\,be \hfill \\\ \end{gathered} \]

• A) \[y = f(x) = 2.2 + (x - 6)(0.325) + (x - 12)((x - 6)( - 0.0219)\]
• B) \[y = f(x) = 2.2 + (x - 2)(0.325) + (x - 2)((x - 6)( - 0.0219)\]
• C) \[y = f(x) = 2.2 + (x - 2)((x - 6)(0.325) + (x - 2)( - 0.0219)\]
• D) \[y = f(x) = 2.2 + (x - 12)(0.325) + (x - 6)((x - 2)( - 0.0219)\]

For\,the\,given\,data\,{\text{points}}\,(4,2.2),\,(8,3.5),\,and\,(12,4.1)\,\,the\,divide\,difference\,table\,will\,be\,given\,as

• A) \begin{array}{*{20}{c}} x&y&{1stD.D}&{2ndD.D} \\\ 4&{2.2}&{0.325}&{} \\\ 8&{3.5}&{0.15}&{ - 0.098} \\\ {12}&{4.1}&{}&{} \end{array}
• B) \begin{array}{*{20}{c}} x&y&{1stD.D}&{2ndD.D} \\\ 4&{2.2}&{0.325}&{} \\\ 8&{3.5}&{0.15}&{ - 0.0108} \\\ {12}&{4.1}&{}&{} \end{array}
• C) \begin{array}{*{20}{c}} x&y&{1stD.D}&{2ndD.D} \\\ 4&{2.2}&{0.325}&{} \\\ 8&{3.5}&{0.15}&{ - 0.0219} \\\ {12}&{4.1}&{}&{} \end{array}
• D) \begin{array}{*{20}{c}} x&y&{1stD.D}&{2ndD.D} \\\ 4&{2.2}&{0.325}&{} \\\ 8&{3.5}&{0.15}&{ - 0.065} \\\ {12}&{4.1}&{}&{} \end{array}

Alanine mostly found in ______.

• A) Alpha Helices
• B) Coils
• C) Loops
• D) Beta Sheets

Which statement is correct for superstring?

• A) Combination of two substring is known as superstring
• B) Superstring is the one that contain at least one substring
• C) Superstring is the one that contain all the substrings
• D) Superstring is achieved by combining two or more substrings

Programmed cell death is also known as …………..

• A) Autophagy
• B) Apoptosis
• C) Necrosis
• D) All these

Chou Fasman Algorithm is used for the prediction of ______.

• A) Tertiary Protein Structure
• B) Quaternary Protein structure
• C) Primary protein structure
• D) Secondary protein structure

In Shortgun sequencing technique genome is fragmented into small pieces by _______.

• A) Nuclease enzyme
• B) Restriction enzyme
• C) Nebulisation
• D) Sonication

Which statement is incorrect for De novo protein sequencing algorithms.

• A) Useful for complete spectra
• B) Valuable for known, unknown proteins
• C) Useful for spectra that are near to complete
• D) Invaluable for known, unknown proteins.

Spliceosome complex of RNA splicing contain ______ protein.

• A) 40
• B) >100
• C) 80
• D) 10

ALU repeat sequence is repeated in approximately ______ times in human genome.

• A) 10 million
• B) 1 million
• C) 3 million
• D) 5 million

Proline (Pro) is most likely to found in ______.

• A) Turns
• B) Helices
• C) Coils
• D) Beta Sheets

Isoleucine (Ile) is most likely to found in ______.

• A) Turns
• B) Beta Sheets
• C) Coils
• D) Helices