Practice every past-year question.

1. A
   Four spheres are involved in the formation of a tetrahedral void.
2. B
   The octahedral void is surrounded by six spheres.
3. C
   There are two tetrahedral voids associated with each atom.
4. D
   There is one octahedral void associated with two atoms.

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1. A
   $[\text{Cr(H}_2\text{O)}_6]\text{Cl}_3$ and $[\text{Cr(H}_2\text{O)}_5\text{Cl}]\text{Cl}_2\cdot\text{H}_2\text{O}$
2. B
   $[\text{CO(NH}_3)_5\text{SO}_4]\text{Br}$ and $[\text{CO(NH}_3)_5\text{Br}]\text{SO}_4$
3. C
   $[\text{CO(NH}_3)_6][\text{Cr(CN)}_6]$ and $[\text{Cr(NH}_3)_6][\text{CO(CN)}_6]$
4. D
   $[\text{Fe(H}_2\text{O)}_5\text{SCN}]^+$ and $[\text{Fe(H}_2\text{O)}_5\text{NCS}]^+$

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1. A
   Dy
2. B
   Ag
3. C
   Pu
4. D
   Pa

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1. A
   4d and 5d
2. B
   5d and 6d
3. C
   3d and 4d
4. D
   3d and 6d

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1. A
   order and molecularity both are 1
2. B
   order is 1 and molecularity is 2
3. C
   order and molecularity both are 2
4. D
   order is 2 and molecularity is 1

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1. A
   12.25 g
2. B
   15.32 g
3. C
   20.40 g
4. D
   49.00 g

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1. A
   $2\text{H}_2\text{O}_{2(l)} \to 2\text{H}_2\text{O}_{(l)} + \text{O}_{2(g)}$
2. B
   $\text{H}_{2(g)} \to 2\text{H}_{(g)}$
3. C
   $\text{CaCO}_{3(s)} \xrightarrow{\Delta} \text{CaO}_{(s)} + \text{CO}_{2(g)}$
4. D
   $2\text{H}_{2(g)} + \text{O}_{2(g)} \to 2\text{H}_2\text{O}_{(l)}$

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1. A
   $23032\text{ cm}^{-1}$
2. B
   $46064\text{ cm}^{-1}$
3. C
   $69096\text{ cm}^{-1}$
4. D
   $92128\text{ cm}^{-1}$

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1. A
   decreases by one times
2. B
   increases by one times
3. C
   increases by 10 times
4. D
   decreases by 10 times

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1. A
   TTTF
2. B
   FFFF
3. C
   TTTT
4. D
   FFTT

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1. A
   4 : 1
2. B
   2 : 3
3. C
   1 : 5
4. D
   1 : 3

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1. A
   $x - y = 0$
2. B
   $x + y = 0$
3. C
   $x = 2y$
4. D
   $y = 2x$

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1. A
   2 : 1
2. B
   5 : 7
3. C
   7 : 5
4. D
   1 : 2

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1. A
   $(n-1)!$
2. B
   $n!$
3. C
   $(-1)(n-1)!$
4. D
   $(-n)(n-1)!$

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1. A
   $\frac{n-k}{k-1}\cdot\frac{p}{q}$
2. B
   $\frac{n-k+1}{k+1}\cdot\frac{p}{q}$
3. C
   $\frac{n+1}{k}\cdot\frac{q}{p}$
4. D
   $\frac{n-k+1}{k}\cdot\frac{p}{q}$

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1. A
   $y = (x-1)\frac{dy}{dx} - 1$
2. B
   $x = (x-1)\frac{dy}{dx} + 1$
3. C
   $y = (x-1)\frac{dy}{dx}$
4. D
   $y = 2(x-1)\frac{dy}{dx}$

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

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1. A
   $\sqrt{14}$
2. B
   14
3. C
   $\sqrt{7}$
4. D
   2

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1. A
   $\frac{8}{3}$ sq. units
2. B
   $\frac{5}{3}$ sq. units
3. C
   $\frac{4}{3}$ sq. units
4. D
   $\frac{2}{3}$ sq. units

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

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1. A
   $\frac{3}{10}$
2. B
   $\frac{2}{15}$
3. C
   $\frac{1}{15}$
4. D
   $\frac{3}{20}$

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1. A
   $\frac{19}{7}$ units
2. B
   $\frac{17}{7}$ units
3. C
   $\frac{11}{7}$ units
4. D
   $\frac{15}{7}$ units

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1. A
   $\sqrt[5]{\left(\frac{y}{x}\right)^3}$
2. B
   $-\sqrt[5]{\left(\frac{x}{y}\right)^3}$
3. C
   $\sqrt[5]{\left(\frac{x}{y}\right)^3}$
4. D
   $-\sqrt[5]{\left(\frac{y}{x}\right)^3}$

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1. A
   5
2. B
   2
3. C
   4
4. D
   6

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1. A
   $\frac{\pi}{12}$
2. B
   $\frac{\pi}{4}$
3. C
   $\frac{\pi}{3}$
4. D
   $\frac{\pi}{6}$

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