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The product of the units, tens, and hundreds digits of the positive 3-digit integer x is 42. Is x even?
(1)  x is less than 300. ?
(2)  The tens digit of x is 7. ?
  • a)
    Exactly one of the statements can answer the question
  • b)
    Both statements are required to answer the question
  • c)
    Each statement can answer the question individually
  • d)
    More information is required as the information provided is insufficient to answer the question
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
The product of the units, tens, and hundreds digits of the positive 3-...
Correct Answer :- d
Explanation : If the product of the three digits is 42 then the possible set of three digits is 2,3,7 or 6,7,1
Numbers from 2,3,7 are 237,273,327,372,723,732
Numbers from 6,7,1 are 167,176,617,671,716,761
Numbers less than 300 are 237,273,167,176 so x can be both even or odd- Insufficient.
Tens digit is 7
Numbers can be 273,372,671,176.. x can be both even and odd -Insufficient
Taking both the statements together
Number <300 and tens digit is 7 nos are 273,176 both even and odd possible so Insufficient
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Community Answer
The product of the units, tens, and hundreds digits of the positive 3-...
Statement 1

X is less than 300.

The three factors which 42 can be divided into are (7, 3, and 2) and (6, 7, 1) We know that x is less than 300, so therefore the only possible 3-digit numbers are (237 and 273) and (167, 176) out of which 3 are odd and 1 is even. So it can't be implied that x is odd or even. That's why first information is not sufficient.

Statement 2

The tens digit of X is 7

In this case the possible numbers will be 273, 372, 176, 671 out of which 2 are odd and 2 are even, so again we can't tell with this piece of information alone that x is even or not. So statement 2 also not sufficient.

If we combine both piece of information, then also the set will be 273 and 176 ( Less than 300, tens digit is 7 ) with 1 number to be even and another odd. So both statement together also not sufficient.

So answer is D.
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The product of the units, tens, and hundreds digits of the positive 3-digit integer x is 42. Is x even?(1) x is less than 300. ?(2) The tens digit of x is 7. ?a)Exactly one of the statements can answer the questionb)Both statements are required to answer the questionc)Each statement can answer the question individuallyd)More information is required as the information provided is insufficient to answer the questionCorrect answer is option 'D'. Can you explain this answer?
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The product of the units, tens, and hundreds digits of the positive 3-digit integer x is 42. Is x even?(1) x is less than 300. ?(2) The tens digit of x is 7. ?a)Exactly one of the statements can answer the questionb)Both statements are required to answer the questionc)Each statement can answer the question individuallyd)More information is required as the information provided is insufficient to answer the questionCorrect answer is option 'D'. Can you explain this answer? for GMAT 2025 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about The product of the units, tens, and hundreds digits of the positive 3-digit integer x is 42. Is x even?(1) x is less than 300. ?(2) The tens digit of x is 7. ?a)Exactly one of the statements can answer the questionb)Both statements are required to answer the questionc)Each statement can answer the question individuallyd)More information is required as the information provided is insufficient to answer the questionCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for GMAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The product of the units, tens, and hundreds digits of the positive 3-digit integer x is 42. Is x even?(1) x is less than 300. ?(2) The tens digit of x is 7. ?a)Exactly one of the statements can answer the questionb)Both statements are required to answer the questionc)Each statement can answer the question individuallyd)More information is required as the information provided is insufficient to answer the questionCorrect answer is option 'D'. Can you explain this answer?.
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