Number System Quantitative Aptitude Exercise I


Ques 1 Number System


Find the number of trailing zero in 100! ?
  a) 20
  b) 22
  c) 24
  d) 25


c is the correct option

By using the above formula..

no of trailing zero=(n5)+(n25)+(n125)+(n625)+.......................

no of trailing zero in 100!=(1005)+(10025)+(100125)

no of trailing zero in 100!=20+4+0
no of trailing zero in 100!=24




Ques 2 Number System


Find the number of Unit Digit of 1345 ?
  a) 3
  b) 9
  c) 7
  d) 1


a is the correct option

The unit digit of power of 13 is repeated 3,9,7,1.
  so as we see the power is 45 so if we repeat 3,9,7,1 so at 45th place, the unit digit is 3.
  or
  This is for finding the unit digit every times this 3,9,7,1 four number are repeated,so
  45%4 so we will get the reminder is 1 so for 1th place 3 present in 3,9,7,1 numbers so 3 is the unit digit.




Ques 3 Number System


What is the greatest five-digit number that is completely divisible by 8, 15, 16, 21 and 5 ?
  a) 95760
  b) 95765
  c) 95120
  d) 95769


c is the correct option




Ques 4 Number System


When (224 – 1) is divided by 7 , the remainder is
  a) 4
  b) 2
  c) 1
  d) 0


d is the correct option




Ques 5 Number System


If the five-digit number 672 xy is divisible by 3, 7 and 11, then what is the value of (6x + 5y) ?
  a) 16
  b) 32
  c) 17
  d) 43


c is the correct option




Ques 6 Number System


If the nine-digit number 87605x31y is divisible by 72, then the value of 2x-3y is:
  a) 0
  b) 1
  c) 2
  d) 3


c is the correct option




Ques 7 Number System


If 7183 +7383 is divided by 36, the remainder is:
  a) 0
  b) 4
  c) 7
  d) 9


a is the correct option




Ques 8 Number System


If 3147 +4347 is divided by 37, the remainder is:
  a) 0
  b) 4
  c) 7
  d) 9


a is the correct option




Ques 9 Number System


If the number 4A306768B2 is divisible by both 8 and 11, then the smallest possible values of A and B will be
  a) A = 3, B = 5
  b) A = 5, B = 4
  c) A = 5, B = 2
  d) A = 5, B = 3


d is the correct option




Ques 10 Number System


The unit digit in the product (124)372 + (124373 is.
  a) 10y+8
  b) y+8
  c) 11y-8
  d) y-8


a is the correct option