#### 11th Standard Maths Combinations and Mathematical Induction English Medium Free Online Test One Mark Questions 2020 - 2021

11th Standard

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Maths

Time : 00:10:00 Hrs
Total Marks : 10

Answer all the questions

10 x 1 = 10
1. The sum of the digits at the 10th place of all numbers formed with the help of 2, 4, 5, 7 taken all at a time is

(a)

432

(b)

108

(c)

36

(d)

18

2. The number of ways in which the following prize be given to a class of 30 boys first and second in mathematics, first and second in physics, first in chemistry and first in English is

(a)

304$\times$ 292

(b)

303$\times$ 293

(c)

302$\times$ 294

(d)

30$\times$295

3. The number of ways in which a host lady invite 8 people for a party of 8 out of 12 people of whom two do not want to attend the party together is

(a)

$\times$ 11 C7+10C8

(b)

11C7+10C8

(c)

12C8-10C6

(d)

10C6+2!

4. Everybody in a room shakes hands with everybody else. The total number of shake hands is 66. The number of persons in the room is

(a)

11

(b)

12

(c)

10

(d)

6

5. The product of r consecutive positive integers is divisible by

(a)

r!

(b)

r!+1

(c)

(r+1)

(d)

none of these

6. If mC1 = nC2, then

(a)

2m = n

(b)

2m = n(n+1)

(c)

2m = n(n-1)

(d)

2n=m(m-1)

7. The number of ways of selecting of 3 poets and 4 scientists such that poets are in even places:

(a)

12

(b)

36

(c)

72

(d)

144

8. The number of ways of disturbing 7 identical balls in 3 distinct boxes, so that no box is empty is

(a)

7

(b)

6

(c)

35

(d)

15

9. The number of integers greater than 6000 that can be formed, using the digits 3, 5, 6, 7 and 8 without repetition

(a)

216

(b)

192

(c)

120

(d)

72

10. Each of five questions is a multiple-choice test has 4 possible answers. The number of different sets of possible answers is

(a)

45-4

(b)

54-5

(c)

1024

(d)

1023