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

11th Standard

    Reg.No. :
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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

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