Question

20. A shopkeeper has 5 red pens, x green pens and
8 black pens. If range of the data is a multiple of 7
and x is a two-digit prime number, then the sum of
digits of maximum possible value of x is
(1) 17
(2) 12
(3) 16
(4) 15​

Answer 1

Answer:

Given: The range  of data has to be a multiple of 7, sum of all the three pens

5+ 8+ x= 13+x which is a multiple of 7 and it is also given such that x is a prime number for the sum of digit of x to be 17 the digits has to be 8 and 9

89 is a prime number 89+ 13= 102 but 102 is not a multiple of 7

Sum to be 16  digits has to be 9 and 7  

97+13= 110 but 110 is not a multiple of 7

79+13= 92 not a multiple of 7

Sum to be 15 digits has to be 9 and 6

Prime number is not possible with these digits

Sum to be 12 digits has to be 8 and 4, no prime number is possible with these digits, so none of the above examples are true.

Answer 2

Answer:

the correct answer is 17

Step-by-step explanation:

because i got this answer from anthe sample paper solution sheets