Number Systems, Progressions

Which of the following is/are not prime?
1. (2^5001)+1
2.(2^5002)+1
3.(2^5003)+1

  • 1&3
  • 1&2
  • 2&3
  • 1,2,3

0 voters

What is exponent of 11 in C(1000,500)

  • 121
  • 20
  • 0
  • 4

0 voters

sum of divisors of 2^5*3^4*5^2 is
  • 3^2.7.11^2
  • 3^2.7.11^2.31
  • 3.7.11.31
  • None

0 voters

Find the sum of all the factors of 18000, which are divisible by 8 but not by 25.
please tag &give; the approach
  • 1560
  • 1872
  • 1440
  • 1300

0 voters

(1+tan1)(1+tan2)(1+tan3)......(1+tan45)

  • 2^45
  • 2
  • 45
  • 2^22

0 voters

how we fine a smallest no..when divided bu 3,7,and 11 gives remainder..2,1,2...respetevly.

i got answer bt i want a proper mathod...

M and N and are positive integers and neither of [them] are divisible by 10 . If the product of M and N equals 200000, find the absolute value of the difference of M and N.


  • 3061
  • 3050
  • 5912
  • 844

0 voters

how many 3 dig nums in base10 are there which can b expressed using 3 digs in base9 as well as in base 11


OA not available :slight_smile:

  • 608
  • 609
  • 580
  • 720
  • None of these

0 voters

2x+5y+10z=210
No of non negative integer solutions.

  • 210
  • 231
  • 253
  • None of these.

0 voters

The sum of 32 consecutive natural no.s is a perfect square. What is the least possible sum of the smallest and the largest no.s

  • 36
  • 49
  • 64
  • 81

0 voters

X and Y are natural numbers. X is odd and less than 100. Find the number of solutions of

(1/x)=(1/18)-(3/y)

plz give the approach

  • 5
  • 3
  • 4
  • 2
  • 1

0 voters

A given sequence of numbers is such that in any set of four consecutive numbers, the sum of the first and third terms is equal to the sum of the second and fourth terms. If the 3rd and 14th terms are 4 and 7 respectively and the sum of the first 18 terms is 57, what is the sum of the first 23 terms?

  • 13
  • 63
  • 73
  • 0

0 voters

Let T be the set of integers {2, 12, 22, 32 …, 542, 552} and S be a subset of T such that the sum of no two elements of S is divisible by 3. The maximum possible number of elements in S is

  • 18
  • 19
  • 20
  • 21

0 voters

If a^6 + b^6 is prime number.

and a , b are distinct integers , then what is their sum?


  • 2
  • 1
  • 5
  • 0

0 voters

N = 7777………………7777, where the digit 7 repeats itself 429 times. What is the remainder left when N is divided by 1144? 

  • 913
  • 1129
  • 777
  • none

0 voters

What are the last two digits of 9483^67483?

  • 27
  • 21
  • 87
  • none

0 voters

The units digit of expression



post answer plz

  • 7
  • 2
  • 1
  • 0

0 voters

Find the remainder when 432104321043210. . . . . . (upto 3000 digits) is divided by 9999.

  • 1407
  • 3333
  • 6666
  • 8592

0 voters

Find the remainder when 1729 ^ 17280 is divided by 1001.

  • 546
  • 728
  • 1
  • 364

0 voters

If all the six-digit numbers in which each successive digit exceeds its predecessor digit are arranged in an increasing order, then find the digit(s) which is/are not contained in the 84th number of this series.

  • All of above
  • 2
  • 1
  • 3

0 voters