Number Systems, Progressions

my ATM pin is a four digit number.My father's ATM pin is also a four digit number using the same digits of my ATM pin but in a different order.when i subtract the two numbers, i get a four digit number whose first three digits are 2,3 & 9.what is the unit digit of the difference???
PLZ POST THE APPROACH

  • 6
  • 3
  • 4
  • 5

0 voters

A 10 digit palindrome in base 16(hexa decimal)will always be divisible by????

  • 10
  • 11
  • 16
  • 17

0 voters

baghira,the oldest inmate of tihar jail is learning mathematics.he notices the following facts about his prisoner number:
a.it is a three digit number not bigger than 500
b.if u sum the cubes of the digits of the numebr,you get the number itself.
c.the number if sum of consecutive factorials

then,the sum of the digits of baghirs's prisoner number is????

  • 12
  • 6
  • 9
  • 10

0 voters

A two-digit number having distinct digits when divided by the sum of the digits gives the same remainder as when a two-digit number that is formed by reversing the digits of original number is divided by the sum of the digits.


Out of all such possible two-digit numbers, a number is randomly picked. What is the probability that this number is divisible by 4?

  • 7/12
  • 2/7
  • 5/12
  • 3/8

0 voters

in a planet N, the people follows base system other than 10. on their base system 53*15=732.what is the base system in planet N?

  • 15
  • 10
  • 12
  • 13

0 voters

The integers 1, 2, …., 40 are written on a blackboard. The following operation is then repeated 39 times: In each repetition, any two numbers say a and b, currently on the blackboard is erased and a new number a + b - 1 is written. What will be the number left on the board at the end?

  • 820
  • 780
  • 819
  • 821
  • 781

0 voters

Rahul had some chocolates with him. He had just enough chocolates to distribute them
among two groups of children A and B in the following manner. He distributed the chocolates
among the children in group A such that each child got as many chocolates as the number of
children in it. He distributed the chocolates among the children in group B such that each child
got as many chocolates as the square of the number of children in it. He distributed 9 more
chocolates to children in group A than in group B. If he had less than 600 chocolates, how
many possibilities exist for the number of chocolates with him?

  • 3
  • 2
  • 1
  • 4

0 voters

How many natural numbers less than 100 when squared and then divided by 24 leave
a remainder of 1?

  • 28
  • 34
  • 32
  • 30

0 voters

How many ordered pairs (a, b) exist such that L.C.M. of a and b is (2^3)(5^7)(11^13) (a, b
∈N)?

  • 2460
  • 2840
  • 2645
  • 2835

0 voters

A natural number has only two prime factors. It is 100 times the number of its factors.
Find the sum of the digits of the least number satisfying these conditions.

  • 1
  • 4
  • 3
  • 2

0 voters

The number of positive integers 'n' for which 1!+2!+3!+..........+(n-1)!+n! is a perfect square is

  • 2
  • 23
  • 39
  • Infinite
  • 16

0 voters

mg

@Anonymous

Twinkle tellsRaveena that she has got 3 kids and 2 of these kids are twins, andalso that their ages are all integers. She tells Raveena the sum of theages of her kids and also the product of their ages. Raveena says thatshe has insuficient information to determine the ages, but onepossibility is that the twins are a prime number of years old. IfTwinkle's twins are teenagers and their age is not prime, then the sumof the ages of her kids is

1 vote A prime number



0 vote Is greater than 43



0 vote A composite number



0 vote Exactly 2 of the foregoing



4 votes Still undeterminable



×

@mlvka kaise kiya ye

@rick1291

how many terms of the series 1+3+5+7+.................amount to 123454321

0 vote 11101



0 vote 11011



0 vote 10111



2 votes 11111


@gd19 kaise kiya bhai ye

×

@rick1291

how many terms of the series 1+3+5+7+.................amount to 123454321

0 vote 11101



0 vote 11011



0 vote 10111



3 votes 11111



×

Since sum of n odd number is n^2. Therefore n^2 = 123454321 => 11111😃

@rick1291

how many terms of the series 1+3+5+7+.................amount to 123454321

0 vote 11101



0 vote 11011



0 vote 10111



4 votes 11111



×

koi spolution daloo

@Apurv

All IndiaPagalguy Meet of year 2008' is in June (which has 30 days), but Allwinforgot which day, so he asked around. Rohit said that the date was anodd number; Apurv claimed it was greater than 13. Divya declared it wasnot a perfect square, while Sonam swore it was a perfect cube. Finally,Grand-ma tells Allwin the date was less than one-fourth her(Grand-ma's)age, which Allwin knew to be 68. Yesterday Allwin learnedthat only one of them had told the truth! If the date of the All IndiaPG Meet is D (numerical value), then

4 votes D is uniquely determinable



4 votes D can have exactly 2 values



0 vote D doesn't exist



0 vote D has atleast 4 values



0 vote None of the foregoing



×

Is it 4?

@Apurv

All IndiaPagalguy Meet of year 2008' is in June (which has 30 days), but Allwinforgot which day, so he asked around. Rohit said that the date was anodd number; Apurv claimed it was greater than 13. Divya declared it wasnot a perfect square, while Sonam swore it was a perfect cube. Finally,Grand-ma tells Allwin the date was less than one-fourth her(Grand-ma's)age, which Allwin knew to be 68. Yesterday Allwin learnedthat only one of them had told the truth! If the date of the All IndiaPG Meet is D (numerical value), then

10 votes D is uniquely determinable



6 votes D can have exactly 2 values



1 vote D doesn't exist



0 vote D has atleast 4 values



2 votes None of the foregoing


i feel the values are 27 and 15

@Apurv

All IndiaPagalguy Meet of year 2008' is in June (which has 30 days), but Allwinforgot which day, so he asked around. Rohit said that the date was anodd number; Apurv claimed it was greater than 13. Divya declared it wasnot a perfect square, while Sonam swore it was a perfect cube. Finally,Grand-ma tells Allwin the date was less than one-fourth her(Grand-ma's)age, which Allwin knew to be 68. Yesterday Allwin learnedthat only one of them had told the truth! If the date of the All IndiaPG Meet is D (numerical value), then

30 answers D is uniquely determinable



22 answers D can have exactly 2 values



16 answers D doesn't exist



14 answers D has atleast 4 values



19 answers None of the foregoing



×

where is the soltn.......??