Number Systems, Progressions

MBA CAT 2022
1

Twinkle tells Raveena that she has got 3 kids and 2 of these kids are twins, and also that their ages are all integers. She tells Raveena the sum of the ages of her kids and also the product of their ages. Raveena says that she has insufic…

2

Let n be positive integer and g(n) denotes the gcd of n2 + 11 and (n+1)2 + 11, then max(g(n)) is

3

Let m = 12/1 + 22/3 + 32/5 + ... + 5002/999, and n = 12/3 + 22/5 + 32/7 + ... + 5002/1001, then the integer closest to m - n is

4

Find the reminder when 75!*130! is divided by 211

5

Find the highest power of 3 in N = 1!*2!3!…*99!

  • 2280
  • 2260
  • 2240
  • 2220
  • N.O.T.

0 voters

6

If S be a set of all 2 digit numbers which can be expressed as the product of 2 distinct primes then how many numbers in S will have exactly 14 coprimes less than the number

  • 2
  • 0
  • 3
  • 1

0 voters

7
Remainder of 104^303 when divided by 101 ?
Could you please explain the steps !
Thank you 😃
8

remainder wen factorial of 25 is divided by 10^7 ???

9

If a is single digit number and a^n-a is divisible by 10,where n is any natural number,how many values can a take?

  • 3
  • 4
  • 2
  • none

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10

Given that:

p, q, r are natural nos if p^4 + q^4 = r^4 which of the following

is always correct

  • option 1 and 2
  • p, qandr can never be primes.
  • if p, q is a prime then r is also a prime.
  • either p is a prime or q is a prime
  • option 2 and 3

0 voters

11

what is the remainder when 2^64 divided by 641

12

What is the Summation of n^n, where n ranges from 2 to 50?

13

The largest integer n such that 3^n divides 101! is.....

  • 37
  • 47
  • 46
  • 48

0 voters

14

The arithmetic mean of two numbers is smaller by 24 than the larger of the two numbers and the GM of the same numbers exceeds by 12 the smaller of the numbers.Find the numbers.(Kindly provide the solution as well)

  • none of these
  • 7 and 55
  • 12 and 60
  • 8 and 56
  • 6 and 54

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15

Find the number of zeros in 5*10*25*40*50*55*65*125*80

16

Reminder 1!+2*2!+3*3!..........+12*12! / 13 ?

  • 12
  • 11
  • 0
  • 1

0 voters

17

10^10+10^100+.....................10^10000000000 divided by 7 what is the remainder ?

  • 0
  • 2
  • 5
  • 4
  • 1

0 voters

18

n is a number such that 2n has 28 factors and 3n has 30 factors, 6n will have how many factors ?

  • 35
  • 32
  • 28
  • None of this

0 voters

19

N=202 x 20002 x 200000002 x 20000000000000002(15 zeros) x 2000000....2(31 zeros). The sum of digits in this multiplication will be ?
Plz post the ans.

  • 112
  • 160
  • 144
  • 108

0 voters

20
The number 523abc is divisible by 7,8 and 9. Then a* b* c is equal to?