CAT 1994QA Question 33

2 Variable EquationsEasy
Passage / Data

Answer the next 3 questions based on the information given below: 

Alphonso, on his death bed, keeps half his property for his wife and divide the rest equally among his three sons Ben, Carl and Dave. Some years later Ben dies leaving half his property to his widow and half to his brothers Carl and Dave together, shared equally. When Carl makes his will he keeps half his property for his widow and the rest he bequeaths to his younger brother Dave. When Dave dies some years later, he keeps half his property for his widow and the remaining for his mother. The mother now has Rs. 1,575,000.

Data is provided followed by two statements – I and II – both resulting in a value, say I and II.

As your answer,
Type 1, if I > II.
Type 2, if I < II.
Type 3, if I = II.
Type 4, if nothing can be said.

Last week Martin received 10incommissionforselling100copiesofamagazine.LastweekMiguelsold100copiesofthismagazine.Hereceivedhissalaryof10 in commission for selling 100 copies of a magazine. Last week Miguel sold 100 copies of this magazine. He received his salary of 5 per week plus a commission of 2 cents for each of the first 25 copies sold, 3 cents for each of next 25 copies sold and 4 cents for each copy thereafter. ($1 = 100 cents).
I. Martin’s commission in the last week.
II. Miguel’s total income for last week.

Answer & solution

Answer: 1

Solution

Miguel’s income = 5 + (0.02 × 25) + (0.03 × 25) + (0.04 × 50) = $8.25.
Martin’s commission = $10.
Hence obviously I > II.

CAT 1994 QA Q33: Data is provided followed by two statements &ndash; I and II &ndash; both resulting in a value, say I and II. — Solution | TheCATExam