CAT is conducted for admission to the MBA courses offered by 20 IIMs and over 1,200 B-schools in India. The CAT question paper comprises MCQs & non-MCQs from Verbal Ability & Reading Comprehension (VARC), Data Interpretation & Logical Reasoning (DILR) and Quantitative Ability (QA). It is very important to solve the previous year question papers of CAT in order to crack it. Check here the complete solved CAT 2007 paper.

**Section I**

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**1. The price of Darjeeling tea (in rupees per kilogram) is 100 + 0.10 n, on the nth day of 2007 (n = 1, 2, ..., 100), and then remains constant. On the other hand, the price of Ooty tea (in rupees per kilogram) is 89 + 0.15n, on the nth day of 2007 (n = 1, 2, ..., 365). On which date in 2007 will the prices of these two varieties of tea be equal?**

(a) June 30

(b) May 21

(c) April 11

(d) May 20

(e) April 10

**Ans: (d) **

**2. A quadratic function f(x) attains a maximum of 3 at x = 1. The value of the function at x = 0 is 1. What is the value of f(x) at x = 10?**

(a) -105

(b) –119

(c) –159

(d) –110

(e) -180

**Ans: (c)**

**3. Two circles with centres P and Q cut each other at two distinct points A and B. The circles have the same radii and neither P nor Q falls within the intersection of the circles. What is the smallest range that includes all possible values of the angle AQP in degrees?**

(a) Between 0 and 45

(b) Between 0 and 90

(c) Between 0 and 30

(d) Between 0 and 60

(e) Between 0 and 75

**Ans: (d) **

**6. The maximum guaranteed return to Shabnam is**

(a) 0.30%

(b) 0.25%

(c) 0.10%

(d) 0.20%

(e) 0.15%

**Ans: (d)**

**7. What strategy will maximize the guaranteed return to Shabnam?**

(a) 30% in option A, 32% in option B and 38% in option C

(b) 100% in option A

(c) 36% in option B and 64% in option C

(d) 64% in option B and 36% in option C

(e) 1/3 in each of the three options

**Ans: (c)**