1
JEE Advanced 2013 Paper 1 Offline
Numerical
+3
-0

EDTA4$$-$$ is ethylenediaminetetraacetate ion. The total number of N$$-$$Co$$-$$O bond angles in [Co(EDTA)]1$$-$$ complex ion is ________.

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2
JEE Advanced 2013 Paper 1 Offline
Numerical
+3
-0

A tetrapeptide has $$-$$COOH group on alanine. This produces glycine (Gly), valine (Val), phenyl alanine (Phe) and alanine (Ala), on complete hydrolysis. For this tetrapeptide, the number of possible sequences (primary structures) with $$-$$NH2 group attached to a chiral center is _______.

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3
JEE Advanced 2013 Paper 1 Offline
MCQ (More than One Correct Answer)
+4
-1
Let $$f\left( x \right) = x\sin \,\pi x,\,x > 0.$$ Then for all natural numbers $$n,\,f'\left( x \right)$$ vanishes at
A
A unique point in the interval $$\left( {n,\,n + {1 \over 2}} \right)$$
B
A unique point in the interval $$\left( {n + {1 \over 2},n + 1} \right)$$
C
A unique point in the interval $$\left( {n,\,n + 1} \right)$$
D
Two points in the interval $$\left( {n,\,n + 1} \right)$$
4
JEE Advanced 2013 Paper 1 Offline
Numerical
+4
-0
A pack contains $$n$$ cards numbered from $$1$$ to $$n.$$ Two consecutive numbered cards are removed from the pack and the sum of the numbers on the remaining cards is $$1224.$$ If the smaller of the numbers on the removed cards is $$k,$$ then $$k-20=$$
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