1. A
   $2:1:1$ and $4:2:1$
2. B
   $1:2:4$ and $2:1:1$
3. C
   $1:2:4$ and $1:1:2$
4. D
   $4:2:1$ and $2:1:1$

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1. A
   $A$ is true but $R$ is false
2. B
   Both $A$ and $R$ are true and $R$ is the correct explanation of $A$
3. C
   Both $A$ and $R$ are true but $R$ is NOT the correct explanation of $A$
4. D
   $A$ is false but $R$ is true

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1. A
   $16\widehat{i} + 24\widehat{j} - 32\widehat{k}$
2. B
   $- 16\widehat{i} - 24\widehat{j} - 32\widehat{k}$
3. C
   $- 16\widehat{i} - 24\widehat{j} + 32\widehat{k}$
4. D
   $- 16\widehat{i} + 24\widehat{j} + 32\widehat{k}$

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1. A
   $\frac{8}{1}$
2. B
   $\frac{1}{8}$
3. C
   $\frac{3}{1}$
4. D
   $\frac{1}{3}$

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1. A
   (A) $\rightarrow$ (ii), (B) $\rightarrow$ (iii), (C) $\rightarrow$ (iv), (D) $\rightarrow$ (i)
2. B
   (A) $\rightarrow$ (i), (B) $\rightarrow$ (ii), (C) $\rightarrow$ (iv), (D) $\rightarrow$ (iii)
3. C
   (A) $\rightarrow$ (iii), (B) $\rightarrow$ (ii), (C) $\rightarrow$ (iv), (D) $\rightarrow$ (i)
4. D
   (A) $\rightarrow$ (iii), (B) $\rightarrow$ (iv), (C) $\rightarrow$ (ii), (D) $\rightarrow$ (i)

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1. A
   $1.64\text{ }mm$
2. B
   $1.80\text{ }mm$
3. C
   $0.82\text{ }mm$
4. D
   $0.90\text{ }mm$

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1. A
   $2\pi^{2}{\text{ }ms}^{- 2}$
2. B
   $16\text{ }m/s^{2}$
3. C
   $9.8{\text{ }ms}^{- 2}$
4. D
   $\pi^{2}{\text{ }ms}^{- 2}$

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1. A
   8
2. B
   2.8
3. C
   3.8
4. D
   7.8

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1. A
   Both A and R are correct but R is NOT the correct explanation of A
2. B
   $A$ is correct but $R$ is not correct
3. C
   Both $A$ and $R$ are correct and $R$ is the correct explanation of $A$
4. D
   $A$ is not correct but $R$ is correct

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1. A
   $0.8H$ and $250\mu F$
2. B
   $0.8H$ and $150\mu F$
3. C
   $1.33H$ and $250\mu F$
4. D
   $1.33H$ and $150\mu F$

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1. A
   $\frac{2\sqrt{2x}}{x + 1}$
2. B
   $\frac{\sqrt{2x}}{2x + 1}$
3. C
   $\frac{2\sqrt{2x}}{2x + 1}$
4. D
   $\frac{\sqrt{2x}}{x + 1}$

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1. A
   $0.15\text{ }m$
2. B
   $0.2\text{ }m$
3. C
   $0.1\text{ }m$
4. D
   $1.0\text{ }m$

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1. A
   $\Delta G$ vs $T$
2. B
   $(\Delta G - T\Delta S)$ vs $T$
3. C
   $\Delta H$ vs $T$
4. D
   $\Delta$ G vs P

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1. A
   ${Cl}_{2} + H_{2}O_{2} \rightarrow 2HCl + O_{2}$
2. B
   ${KlO}_{4} + H_{2}O_{2} \rightarrow {KlO}_{3} + H_{2}O + O_{2}$
3. C
   $2I^{-} + H_{2}O_{2} + 2H^{+} \rightarrow I_{2} + 2H_{2}O$
4. D
   $I_{2} + H_{2}O_{2} + 2{OH}^{-} \rightarrow 2I^{-} + 2H2O + O_{2}$

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1. A
   $\infty$
2. B
   1
3. C
   zero
4. D
   $\frac{1}{n}$

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1. A
   ${He}_{2}^{-}$
2. B
   ${He}_{2}\ ^{+}$
3. C
   $O_{2}\ ^{2 -}$
4. D
   ${Be}_{2}$

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1. A
   
2. B
   
3. C
   
4. D
   

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1. A
   Statement I is true, statement II is false
2. B
   Statement I is false, statement II is true
3. C
   Both Statement I and Statement II are false
4. D
   Both Statement I and Statement II are true

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1. A
   63.53
2. B
   53.33
3. C
   51.63
4. D
   50.33

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1. A
   All $B - H - B$ angles are of $120^{\circ}$.
2. B
   Its fragment, ${BH}_{3}$, behaves as a Lewis base.
3. C
   Terminal $B - H$ bonds have less $p$-character when compared to bridging bonds.
4. D
   The two B-H-B bonds are not of same length.

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1. A
   ${Fe}^{2 +}$ and ${Co}^{+}$
2. B
   ${Cr}^{+}$and ${Mn}^{2 +}$
3. C
   ${Ni}^{2 +}$ and ${Cu}^{+}$
4. D
   $V^{2 +}$ and ${Cr}^{+}$

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1. A
   Buna-S is a synthetic and linear thermosetting polymer
2. B
   Neoprene is addition copolymer used in plastic bucket manufacturing
3. C
   Synthesis of Buna-S needs nascent oxygen
4. D
   Buna- $N$ is a natural polymer

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1. A
   Statement I and Statement II are true
2. B
   Statement I is true about Statement II is false
3. C
   Both Statement I and Statement II are false
4. D
   Statement I is false but Statement II is true

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1. A
   $D$
2. B
   $B$
3. C
   $A$
4. D
   C

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1. A
   $C - 1$ of glucose and $C - 6$ of galactose
2. B
   $C - 1$ of galactose and $C - 4$ of glucose
3. C
   $C - 1$ of glucose and $C - 4$ of galactose
4. D
   C-1 of galactose and C- 6 of glucose

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