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Each of the questions below consists of a question and three statements number I, II and III given below it. You have to decide whether the data provided in the statement are sufficient to answer the question.Ali is 3 years older than Bela who is 5 years older than Chals. The ratio of age of Dyna and Ena after two years will be 3 : 4 years. Sum of ages of Dyna, Ena, Fanny and Geet is 50 years.What is the present age of Geet?Statement I: The ratio of ages of Dyna and Fanny is 7 : 15 respectively and Ali is 18 years old.Statement II: The sum of ages of Ena and Fanny is 25 years.Statement III: The sum of ages of Dyna and Ena is 17 years and fanny is 8 years older than Dyna.1. Only statement I is sufficient alone.2. Only Statement II is sufficient alone.3. Either Statement III is sufficient alone or statement I and II together are sufficient.4. Either statement I is sufficient alone or statement II and III together are sufficient.5. All statement I, II and III together are sufficient.

Answer» Correct Answer - Option 3 : Either Statement III is sufficient alone or statement I and II together are sufficient.

Ali = 3 + Bela

Bela = 5 + Chales

(Dyna + 2) : (Ena + 2) = 3 : 4

Dyna = (3 Ena – 2)/4

Dyna + Ena + Fany + Geet = 50

7 Ena + 4 Fany + 4 Geet = 202

Statement I:

Ali = 18

Dyna : Fany = 7 : 15

Dyna = 7Fany/15

Dyna = (3Ena – 2)/4

Fany = (45Ena – 30)/28

Statement II:

Ena + Fany = 25

Statement III :

Dyna + Ena = 17

Dyna = (3Ena – 2)/4 = 17 – Ena

Ena = 10 years

Dyna = 17 – 10 = years

Fany = 8 + Dyna = 8 + 7 = 15 years

7Ena + 4Fany + 4Geet = 202

7 × 10 + 4 × 15 + 4A = 202

Geet = 18 years

From statement I and II :

Fany = (45Ena – 30)/28

Ena + Fany = 25

(45Ena – 30)/28 = 25 – Ena

Ena = 10years

Fany = 25 – 10 = 15 years

7Ena + 4Fany + 4Geet = 202

7 × 10 + 4 × 15 + 4A = 202

Geet = 18 years

Hence, either Statement III is sufficient alone or statement I and II together are sufficient.



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