Number Systems, Progressions

(a+2b-3c)^15 is expanded & all like terms are collected , how many terms will be there in all ?


OA not available. share yr approach
  • 105
  • 136
  • 210
  • 455

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how many no.s are co-prime to 2304 and lie b/w 1000 and 2000?


share approach plz
  • 334
  • 332
  • 333
  • 500

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The left most digit of an integer of length 2000 digit is 3. In this integer , any 2 consecutive digits must be divisible by 17 or 23. The 2000th digit may be either x or y. What is the values of x+y?

  • 12
  • 8
  • 7
  • 6
  • 5

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What is the smallest integer n such that square root of n + square root of (n+2005) is an integer?

  • 39204
  • 4568
  • 217
  • 459988

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2000!/1000=n(1*3*5*7*....*1997*1999) What is the value of n in the above calculation?

  • 3^100
  • 2^100*3^100
  • 2^1000
  • 2^100

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What is the value of the following expression?

{1/(2^2-1}+{1/(4^2-1}+{1/(6^2-1}+.......+{1/(20^2-1}
  • 11/21
  • 10/21
  • 10/19
  • 9/19

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What is the last two digits of 37^12345??

  • 57
  • 77
  • none of these
  • 47

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what is the last two digits of 164^359,when divided by 100??

  • 87
  • 84
  • 34
  • 64

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Find the last three digits of 57^802

  • 249
  • 197
  • 193
  • 250

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What is the remainder when 28! is divided by 29?

  • 1
  • 26
  • 28
  • 29
  • NOT

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what is the remainder when 27! is divided by 29

  • 27
  • 01
  • 28
  • 02

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A number when successively divided by 5,6,7 leaves remainder 2,5,1 respectively.What is the remainder when the same number is divided by 210?

  • 57
  • 120
  • 40
  • 182

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10000! = (100!)K × P, where P and K are integers. What can be the maximum value of K?

  • 105
  • 102
  • 104
  • 103

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Find the sum pf all three digit number that give a remainder of 4 when they are divided by 5..please explain the procedure....

  • 90270
  • 98270
  • 99270
  • 102090

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what is the remainder 52^60 divided by 31

  • 21
  • 01
  • 35
  • non of these

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A natural no n has 4 factors .IF the sum of its factors excluding itself is 57.

a)find the sum of all possible values of N
b)find the sum of all possible values of N
Dont have the OA.. wanted to confirm the approach

find remainder when 1^39+2^39+3^39.......12^39 is divide by 39

  • 0
  • 1
  • 4
  • 9
  • non of these

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All the natural numbers which are multiples of 7 are written one beside the other. What will be the 5000th digit? (share approach)

  • 9
  • 8
  • 2
  • 5

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What is the Last 3 Digit of the number (902)^12?

  • 496
  • 096
  • 448
  • 048

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A = {1, 4, 7, 10, …, 2004th term}
B = {9, 16, 23, 30, …, 2004th term}

If , how many elements are there in S?

pls explainn.

  • 3914
  • 3732
  • 3722
  • 3924

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