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Chemical Bonding and Molecular Structure
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Some Basic Concepts of Chemistry
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Organic Chemistry- Some Basic Principles and Techniques
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States of Matter: Gases and Liquids
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Permutations and Combinations

**Correct Marks**
4

**Incorrectly Marks**
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Q 1. {tex} ^ n C _ { r - 1 } = 36 , ^ { n } C _ { r } = 84 {/tex} and {tex} ^ { n } C _ { r + 1 } = 126 , {/tex} then {tex} r {/tex} is

1

2

3

None of these

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4

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Q 2. The value of the expression {tex} ^ { 47 } C _ { 4 } + \sum _ { j = 1 } ^ { 5 }{^{ 52 - j }C _ { 3 }} {/tex} is equal to

{tex} ^ { 47 } C _ { 5 } {/tex}

{tex} ^ { 52 } C _ { 5 } {/tex}

{tex} ^ { 52 } C _ { 4 } {/tex}

none of these

**Correct Marks**
4

**Incorrectly Marks**
-1

Q 3. If the LCM of {tex} p , q {/tex} is {tex} r ^ { 2 } t ^ { 4 } s ^ { 2 } , {/tex} where {tex} r , s , t {/tex} are prime numbers and {tex} p , q {/tex} are the positive integers then the number of ordered pair {tex} ( p , q ) {/tex} is

252

254

225

224

**Correct Marks**
4

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-1

Q 4. The number of seven digit integers, with sum of the digits equal to {tex}10{/tex} and formed by using the digits {tex} 1,2 {/tex} and {tex}3{/tex} only, is

55

66

77

88

**Correct Marks**
4

**Incorrectly Marks**
-1

Q 5. Six cards and six envelopes are numbered {tex} 1,2,3,4,5,6 {/tex} and cards are to be placed in envelopes so that each envelope contains exactly one card and no card is placed in the envelope bearing the same number and moreover the card numbered {tex}1{/tex} is always placed in envelope numbered {tex} 2 . {/tex} Then the number of ways it can be done is

264

265

53

67

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