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#### Algebra - One Mark Questions

11th Standard

Reg.No. :
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Time : 00:30:00 Hrs
Total Marks : 15
15 x 1 = 15
1. If nC3 = nC2, then the value of nC4 is

(a)

2

(b)

3

(c)

4

(d)

5

2. The number of ways selecting 4 players out of 5 is

(a)

4!

(b)

20

(c)

25

(d)

5

3. The greatest positive integer which divide n(n + 1) (n + 2) (n + 3) for n $\in$ N is

(a)

2

(b)

6

(c)

20

(d)

24

4. If n is a positive integer, then the number of terms in the expansion (x + a)n is

(a)

n

(b)

n + 1

(c)

n-1

(d)

2n

5. For all n > 0, nC1 + nC2 + nC3 + ... +nCn is equal to

(a)

2n

(b)

2n- 1

(c)

n2

(d)

n2 - 1

6. The term containing x3 in the expansion of (x - 2y)7 is

(a)

3rd

(b)

4th

(c)

5th

(d)

6th

7. The middle term in the expansion of ${ \left( x+\frac { 1 }{ x } \right) }^{ 10 }$

(a)

10C4$\left( \frac { 1 }{ x } \right)$

(b)

10C5

(c)

10C6

(d)

10C7x4

8. The constant term in the expansion of ${ \left( x+\frac { 2 }{ x } \right) }^{ 6 }$

(a)

156

(b)

165

(c)

162

(d)

160

9. The last term in the expansion of (3 +$\sqrt{2}$ )8 is

(a)

81

(b)

16

(c)

8$\sqrt{2}$

(d)

27$\sqrt{3}$

10. If $\frac { kx }{ (x+4)(2x-1) } =\frac { 4 }{ x+4 } +\frac { 1 }{ 2x-1 }$ then k is equal to

(a)

9

(b)

11

(c)

5

(d)

7

11. The number of parallelograms that can be formed from the set of four parallel lines intersecting another set of three parallel lines is

(a)

18

(b)

12

(c)

9

(d)

6

12. There are 10 true or false questions in an examination. Then these questions can be answered in

(a)

240 ways

(b)

120 ways

(c)

1024 ways

(d)

100 ways

13. The value of (5Co + 5C1) + (5C1 + 5C2) + (5C2 + 5C3) + (5C3 + 5C4) + (5C4 + 5C5 ) is

(a)

26-2

(b)

25-1

(c)

28

(d)

27

14. The total number of 9 digit number which have all different digit is

(a)

10!

(b)

9!

(c)

9$\times$9!

(d)

10$\times$10!

15. The number of ways to arrange the letters of the word "CHEESE" is

(a)

120

(b)

240

(c)

720

(d)

6