Quantitative Aptitude – Number System – Zahir and Raman are at the entrance of a dark cave


XAT 2021 Exam Paper – Quantitative Aptitude – Number System – Zahir and Raman are at the entrance of a dark cave

Q. Zahir and Raman are at the entrance of a dark cave. To enter this cave, they need to open a number lock. Raman sees a note on a rock: “ … chest of pure diamonds kept for the smart one … number has six digits … second last digit is 2, third last is 4 … divisible by all prime numbers less than 15 …”. Excited, Zahir and Raman seek your help: which of these can be the first digit of the six-digit number that will help them open the lock?
  1. 9
  2. 3
  3. 1
  4. 4
  5. 5

Answer: 4

Solutions:
Let the 6 digit number be _ _ _ 42_It is divisible by 2,3,5,7,11,13
Since the 6 digit number is divisible by 2 , the last digit should be even and from the given options only 4 is even

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