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

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1. A
   ${VOSO}_{4}$ is a reducing agent
2. B
   Red colour of ruby is due to the presence of ${CO}^{3 +}$
3. C
   ${Cr}_{2}O_{3}$ is an amphoteric oxide
4. D
   ${RuO}_{4}$ is an oxidizing agent

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1. A
   (C) only
2. B
   (A) and (D) only
3. C
   (A) only
4. D
   (A), (C) and (D) only

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

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1. A
   $LiF > LiCl;NaCl > MgO$
2. B
   $LiF > LiCl;MgO > NaCl$
3. C
   $LiCl > LiF;NaCl > MgO$
4. D
   $LiCl > LiF;MgO > NaCl$

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1. A
   $5.92,4.90$ and $0BM$
2. B
   $5.82,0$ and $0BM$
3. C
   $4.90,0$ and $1.73BM$
4. D
   4.90, 0 and $2.83BM$

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1. A
   Red $P + {Cl}_{2}$
2. B
   ${NH}_{2} - {NH}_{2}/C_{2}H_{5}ONa$
3. C
   $Ni/H_{2}$
4. D
   ${NaBH}_{4}$

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

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1. A
   $\overset{\phantom{Sn/HCl}}{\rightarrow}/\overset{\phantom{{Br}_{2}}}{\rightarrow}/\overset{\phantom{{NaNO}_{2}}}{\rightarrow}/\overset{\phantom{\text{~NaBr~}}}{\rightarrow}$
2. B
   $\overset{\phantom{Sn/HCl}}{\rightarrow}/\overset{\phantom{KBr}}{\rightarrow}/\overset{\phantom{{Br}_{2}}}{\rightarrow}/\overset{\phantom{H^{+}}}{\rightarrow}$
3. C
   $\overset{\phantom{{NaNO}_{2}}}{\rightarrow}/\overset{\phantom{HCl}}{\rightarrow}/\overset{\phantom{KBr}}{\rightarrow}/\overset{\phantom{H^{+}}}{\rightarrow}$
4. D
   $\overset{\phantom{{Br}_{2}/Fe}}{\rightarrow}/\overset{\phantom{Sn/HCl}}{\rightarrow}/\overset{\phantom{{NaNO}_{2}/HCl}}{\rightarrow}/\overset{\phantom{CuBr/HBr}}{\rightarrow}$

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1. A
   Trigonal planar; $120^{\circ}$
2. B
   Distorted trigonal planar; $135^{\circ}$ and $90^{\circ}$
3. C
   Linear; $180^{\circ}$
4. D
   T-shaped; $180^{\circ}$ and $90^{\circ}$

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1. A
   $Cr < Fe < Co < Cu < Zn$
2. B
   $Cr < Zn < Co < Cu < Fe$
3. C
   $Zn < Cu < Co < Fe < Cr$
4. D
   $Zn < Cr < Fe < Co < Cu$

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1. A
   (a)-(ii), (b)-(i), (c)-(iv), (d)-(iii)
2. B
   (a)-(iii), (b)-(iv), (c)-(i), (d)-(ii)
3. C
   (a)-(iii), (b)-(i), (c)-(iv), (d)-(ii)
4. D
   (a)-(ii), (b)-(iv), (c)-(i), (d)-(iii)

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1. A
   Styrene
2. B
   Sulphur
3. C
   Strength
4. D
   Sulphonation

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1. A
   $Mg\left( {HCO}_{3} \right)_{2}$
2. B
   ${FeSO}_{4}$
3. C
   ${NaHCO}_{3}$
4. D
   ${FeCl}_{3}$

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1. A
   86
2. B
   88
3. C
   84
4. D
   90

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1. A
   $(9,12)$
2. B
   $(6,9)$
3. C
   $(3,6)$
4. D
   $(0,3)$

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1. A
   $\frac{1}{2\sqrt{2}}$
2. B
   $\frac{1}{\sqrt{7}}$
3. C
   $\sqrt{7} - 1$
4. D
   $2\sqrt{2} - 1$

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1. A
   $\frac{65}{2^{7}}$
2. B
   $\frac{135}{2^{9}}$
3. C
   $\frac{65}{2^{8}}$
4. D
   $\frac{35}{2^{7}}$

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1. A
   $\overrightarrow{r} \cdot (\widehat{i} - 7\widehat{j} + 3\widehat{k}) = \frac{7}{3}$
2. B
   $\overrightarrow{r} \cdot (\widehat{i} + 7\widehat{j} + 3\widehat{k}) = 7$
3. C
   $\overrightarrow{r} \cdot (3\widehat{i} + 7\widehat{j} + 3\widehat{k}) = 7$
4. D
   $\overrightarrow{r} \cdot (\widehat{i} + 7\widehat{j} + 3\widehat{k}) = \frac{7}{3}$

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1. A
   $( - 2,8)$
2. B
   $(1,5)$
3. C
   $(3,13)$
4. D
   $(2,8)$

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1. A
   $\frac{71}{256}$
2. B
   $- \frac{69}{256}$
3. C
   $\frac{69}{256}$
4. D
   $- \frac{71}{256}$

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1. A
   -4
2. B
   -5
3. C
   $- \sqrt{2} - \sqrt{3} - 1$
4. D
   $- \sqrt{2} - \sqrt{3} + 1$

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1. A
   . $a = 1,b = 1,c = 0$
2. B
   $a = - 1,b = 1,c = 1$
3. C
   $a = 1,b = 0,c = 1$
4. D
   $a = \frac{1}{2},b = \frac{1}{2},c = 1$

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1. A
   $\sim p \land q$
2. B
   $p \land \sim q$
3. C
   $\sim p \vee q$
4. D
   $p \vee \sim q$

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1. A
   (B) and (E) only
2. B
   (C) and (D) only
3. C
   (A) and (D) only
4. D
   (A) and (E) only

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