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  • Question 1
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    The only correct statement about the matrix A is

  • Question 2
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    Find the real numbers x and y such that : (x + iy)(3 + 2i) = 1 + i

  • Question 3
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    Express the following in standard form : (2 –√3i) (2 + √3i) + 2 –4i

  • Question 4
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    Find the reciprocal (or multiplicative inverse) of -2 + 5i  

  • Question 5
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    The number of ways in which 6 “+ “and 4 “–“signs can be arranged in a line such that no two “–“signs occur together is

  • Question 6
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    On a railway track, there are 20 stations. The number of tickets required in order that it may be possible to book a passenger from every station to every other is

  • Question 7
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    A class is composed 2 brothers and 6 other boys. In how many ways can all the boys be seated at the round table so that the 2 brothers are not seated besides each other?

  • Question 8
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    The minim um value of the s um of re al numb ers a –5 , a–4 , 3a–3 , 1, a8 and a10 with a >0 is

  • Question 9
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    Let a1 , a2 , a3 , ..., a100 be an arithmetic progression with a1 = 3 and    For any integer n with 1 ≤n ≤20. let m=5n. If Sm /Sn   does not depend on n, then a2 is

  • Question 10
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    Let a1 , a2 , a3 , ..... be in harmonic progression with a1 = 5 and a20 = 25. The least positive integer n for which an <0 is 

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