Number System - Questions & Discussions

MBA CAT 2022
3719

Q. Number of pairs of natural number such that their LCM is 20 ?


3720

What would be the last two digits of (121^47) - (149^124)


3721

A teacher counted the number of students in a certain number system. He counted the number of boys as 35 and number of girls as 45. He quoted that that the total number of students is 124. if a number 3152 in that number system is converted to decimal, the result will be

  • 704
  • 632
  • 716
  • 648

0 voters

3722

A king wants to give some gold coins to a group of people such that the first person gets 1 coin, the second gets 3 coins, the third gets 6 coins, the fourth gets 10 coins and so on. If the king gave out a total of 3276 gold coins in this manner, then find the number of people that he gave the gold coins to.

  • 24
  • 25
  • 26
  • 27

0 voters

3723

fgfdfgdfgdfgsdfgsdfgfgfg

3724

suppose q is number of worker employed by the x.ltd for one of its project. The average cost of production c is given by c=q^3/3 + 5q/2 - 150 + 75/q. In the interest of company it should employ ________ workers.

ans is 10
please help
3725

Last 2 digits : (79)^83 ??

3726

while solving for last 2 digits of a no. if we get the product of 2 2 digit no. then how we get the ans. ?

eg:

62 ^ 586 9 (last 2 digits)


3727

@nandonachi

find gcd of 111....11 huindred ones; 11....111 sixty ones



1) 111...forty ones



2) 111..... twenty five ones



3) 111...twenty ones



4) 111...sixty ones Skip



—

20 ones

3728

There are exactly 1000 tokens in a big box which are numbered from 1 to 1000. There is a group of 30 students who have taken the tokens one after the other in the following way. The first student took all the tokens which were numbered with multiples of 2, the second student took all the tokens that are multiples of 3 and so on. Finally, the 30th student takes the tokens that are numbered with multiples of 31.

a) How many tokens did the 10th student take??

b) How many students took minimum (same) number of tokens?

3729
@anytomdickandhary Sir please explain me how to find the last two digits of X^Y. I see a lots of questions on this but don't know how to do this. I only know about single digit question using cyclicity.
3730

The difference between the compound interest, being compounded annually, on a sum of Rs. 1,00,000 and the simple interest at the same rate on the same sum for 2 years is Rs.225. What is the rate of interest per annum ?

3731

@sauravtalky

The total no. of integer pairs (x,y) satisfying the equation x+y=xy is



1) 3



2) 4



3) 6



4) 2 Skip



—

there are two such values. 0 and 2


3732

hey puys,

is anyone of you a Career launcher student??

plz reply, i need help ASAP..

Thanks.

3733

@bhoomi236

x

x+1/y+1/z = 1

then what is the y????



1) o



2) 1



3) 2



4) none of these Skip



—

can anyone give me solution for dis


3734

The total number of prime factors of the number (72^18)*(96^2)*(144^12) are
174 or 240 or 280 or 370

3736

What is the sum of all the numbers which are less than 100 and are co-prime to 100 ?

  • 2600
  • 2000
  • None of these
  • 1050

0 voters

3737
WHAT IS THE TENS DIGIT OF 45407^356? dont know hw to do......plz sm1 helprolleyes
3738

(1^2)+(1^2 +2^2)+(1^2 +2^2+ 3^2)+(1^2 +2^2+ 3^2+ 4^2)+(1^2 +2^2+ 3^2+ 4^2 +........ +100^2)

3739

sum of all the natural numbers from 200 to 600 (both inclusive) which are neither divisible by 8 nor by 12 is???? please give complete approach