Number Systems, Progressions

A number when successively divided by 8, 7 and 6 leaves respective remainder of 6, 5 and 5. Find the remainder when the number is divided by 52.
  • Cannot be determined
  • 16
  • 14
  • 12

0 voters

From the first 'n' consecutive natural numbers written on a blackboard, one of the numbers is
removed. If the average of the remaining numbers is
32+2/9
then find the number removed.

explaination needed
  • none of these
  • 50
  • 64
  • 46

0 voters

how many terms,at the minimum of sequence 1+1/2+1/3+....must be together so that sum will not be less than 3.

  • 17
  • 20
  • 18
  • 16

0 voters

A no. has 15 composite factors. what can be the maximum number of prome factors of this number?


Approach plzz
  • None
  • 4
  • 3
  • 2

0 voters

remainder when (17)(19!) + 18! is divided by (9!)8704?

  • 1
  • 17(9!)
  • 17(10!)
  • 8!
  • 10!

0 voters

find the digit at tens place of 7^281 * 3^264?


please explain the soln too
  • 7
  • 3
  • 4
  • 5
  • 6

0 voters

sum of 20 distinct numbers is 801. what can be their minimum LCM?


  • 480
  • 360
  • 840
  • 42
  • None

0 voters

N= (2^15) * (3^12)

how many factors of N^2 are less than N but do not divide N completely?

  • 387
  • 180
  • 208
  • 310
  • None

0 voters

N is the smallest no. such that N/2 is a perfect square and N/3 is a perfect cube then no. of divisors of N are

  • None
  • 5
  • 4
  • 3
  • 2

0 voters

remainder when sum of cubes from 10 to 15 are divided by 225

  • 1
  • 25
  • none
  • 40
  • 0

0 voters

find the total number of sets of factors of 264 which are co-prime to each other.

plz explain..
  • 11
  • 21
  • 31
  • 1

0 voters

Find the highest power of 84 which divides 342!
Just correct approach needed!!!

A B C D ARE FOUR TOWNS, ANY THREE OF WHICH ARE NON COLLINEAR.NUMBER OF WAYS TO CONSTRUCT THREE ROADS EACH JOINING A PAIR OF TOWN SO THAT ROADS DO NOT FORM A TRIANGLE IS:

CAT 1995…DONT KNOW OA

  • MORE THAN 9
  • 9
  • 7
  • 8

0 voters

remainder when 888222888222888222...........upto 9235 digit is divided by 5^3 ??????????? ans. this with approach

  • 103
  • can't be determine
  • none of this
  • 38

0 voters

when 50! is divided by 16^15 what will be the reminder ?

answer nahi pta hai so please dnt ask the OA... method btao
  • 2
  • 4
  • 1
  • 0

0 voters

the value of set of silver coins varies as the square of its diameter,if its thickness remains constant,and it varies as thickness if diameter remains constant.if the diameter of two coins are in the ratio 4:3,what should be the ratio of their thickness be if the value of first is 4 times that of second.

  • 9:4
  • 9:16
  • 4:9
  • 16;9

0 voters

What is the reminder when 12345678987654321 divided by 1001


  • 10
  • 995
  • 692
  • 309

0 voters

The sum of 2 natural numbers when added to their LCM gives a total of 143 .

How many such paired numbers exist

  • 9
  • 12
  • 8
  • 6

0 voters

How many 2-digit numbers, divisible by 10, can be formed by adding four consecutive integers?
5
4
6
3
None of these