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14 Apr 2021, 04:00
Kudos
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B
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
25%
(medium)
Question Stats:
76% (01:18) correct
24%
(01:50)
wrong
based on 51
sessions
History
Date
Time
Result
Not Attempted Yet
If x is a two-digit number, is x less than 85?
(1) The sum of the two digits of x is prime.
(2) Each of the two digits of x is prime.
(1) The sum of the two digits of x is prime.
(2) Each of the two digits of x is prime.
Pure algebraic questions like this one are no longer part of the GMAT Data Sufficiency syllabus.
For relevant Data Sufficiency questions, please check the Data Sufficiency forum:
Data Sufficiency Forum
Data Sufficiency Forum
14 Apr 2021, 04:15
Kudos
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(1) The sum of the two digits of x is prime.
75; sum of the digits 13 -Yes
98; sum of the digits 17 -No
Hence, Not sufficient
(2) Each of the two digits of x is prime.
Single digit prime numbers are 2, 3, 5, and 7
Any two digit number formed using these numbers will always be less than 85; hence, Sufficient
B is the Answer
75; sum of the digits 13 -Yes
98; sum of the digits 17 -No
Hence, Not sufficient
(2) Each of the two digits of x is prime.
Single digit prime numbers are 2, 3, 5, and 7
Any two digit number formed using these numbers will always be less than 85; hence, Sufficient
B is the Answer
15 Apr 2021, 09:40
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Bunuel
Statement 1:
If the prime number is 17, we may have 89 or 98. If the prime number is 5, we may have 14 or 41. Insufficient.
Statment 2:
Because the prime numbers are only 2, 3, 5, 7, 11 ... the tens digit must be 7 or less. Thus x has to be less than 85. Sufficient.
Ans: B
