Two statements are given below:
I. Milk sugar is a disaccharide of \( \alpha \)-D-galactose and \( \beta \)-D-glucose.
II. Sucrose is a disaccharide of \( \alpha \)-D-glucose and \( \beta \)-D-fructose. The correct answer is:
Step 1: Understanding the Structure of Disaccharides
1. Milk Sugar (Lactose)
- Lactose is composed of \( \beta \)-D-galactose and \( \beta \)-D-glucose, not \( \alpha \)-D-galactose.
- The glycosidic bond in lactose is a \( \beta \)-1,4 linkage.
2. Sucrose (Table Sugar)
- Sucrose is composed of \( \alpha \)-D-glucose and \( \beta \)-D-fructose.
- It has a \( \alpha \)-1,2 glycosidic linkage.
Step 2: Evaluating the Statements
- Statement I is incorrect, as lactose contains \( \beta \)-D-galactose, not \( \alpha \)-D-galactose.
- Statement II is correct, as sucrose consists of \( \alpha \)-D-glucose and \( \beta \)-D-fructose.
Step 3: Evaluating the Given Options
- Option (1): Incorrect, as statement I is incorrect.
- Option (2): Incorrect, as statement II is correct.
- Option (3): Incorrect, as statement I is incorrect.
- Option (4): Correct, as statement I is incorrect and statement II is correct.
Thus, the correct answer is Option (4).
Assertion (A): Aromatic primary amines cannot be prepared by Gabriel Phthalimide synthesis. Reason (R): Aryl halides do not undergo nucleophilic substitution reaction with the anion formed by phthalimide.
Given the vectors:
\[ \mathbf{a} = \mathbf{i} + 2\mathbf{j} + \mathbf{k} \]
\[ \mathbf{b} = 3(\mathbf{i} - \mathbf{j} + \mathbf{k}) = 3\mathbf{i} - 3\mathbf{j} + 3\mathbf{k} \]
where
\[ \mathbf{a} \times \mathbf{c} = \mathbf{b} \]
\[ \mathbf{a} \cdot \mathbf{x} = 3 \]
Find:
\[ \mathbf{a} \cdot (\mathbf{x} \times \mathbf{b} - \mathbf{c}) \]
If three numbers are randomly selected from the set \( \{1,2,3,\dots,50\} \), then the probability that they are in arithmetic progression is:
A student has to write the words ABILITY, PROBABILITY, FACILITY, MOBILITY. He wrote one word and erased all the letters in it except two consecutive letters. If 'LI' is left after erasing then the probability that the boy wrote the word PROBABILITY is: \