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Previous Year Paper

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CAT-2006-Previous Years Paper

Question
18 out of 25
 

The number of employees in Obelix Menhir Co. is a prime number and is less than 300. The ratio of the number of employees who are graduates and above, to that of employees who are not, can possibly be



A 101 : 88

B 87 : 100

C 110 : 111

D 85 : 98

E 97 : 84

Ans. E

The sum of the numerator and denominator of the ratio should be a prime number.

Note that the number of employees is less then 300.

Consider options. (a) 101 : 88

101 + 88 = 189

189 × 2 > 300 Number of employees who are graduates and above = 101 and the others are 88 in number 189 is not a prime number. Option (a) is eliminated.

(b) 87 : 100

87 + 100 = 187, 187 × 2 > 300

187 is not a prime number.

(c) 110 : 111

110 + 111 = 221, 221 × 2 > 300

221 is not a prime number.

(d) 85 : 98

85 + 98 = 183, 183 × 2 > 300

183 is not a prime number.

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