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CAT 1999 Question Paper with Solutions

68 questions in 120 minutes, in three timed sections. Below: how the paper is built, the topics each section tested, and a solved sample from every section. Take the whole paper in the simulator to get your Score Waterfall, Topic ROI Map and Strategic IQ.

Paper structure and topics

VARC

Verbal Ability & Reading Comprehension

24 questions · 24 MCQ · 0 TITA

  • Reading Comprehension · 22
  • Verbal Ability · 2

DILR

Data Interpretation & Logical Reasoning

22 questions · 22 MCQ · 0 TITA

  • Data Interpretation · 13
  • Logical Reasoning · 9

QA

Quantitative Ability

22 questions · 22 MCQ · 0 TITA

  • Arithmetic · 8
  • Algebra · 6
  • Geometry · 3
  • Modern Math · 3
  • Number System · 2

Sample questions with solutions

15 of the 68 questions: the first passage, the first DILR set and the first QA questions of the paper.

VARC · Verbal Ability & Reading Comprehension

Passage

The World Trade Organization (WTO) was formed in the early 1990s as a component of the Uruguay Round negotiation. However, it could have been negotiated as part of the Tokyo Round of the 1970s, since that negotiation was an attempt at a ‘constitutional reform’ of the General Agreement on Tariffs and Trade (GATT). Or it could have been put off to the future, as the US Government wanted. What factors led to the creation of the WTO in the early 1990s?

One factor was the pattern of multilateral bargaining that developed late in the Uruguay Round. Like all complex international agreements, the WTO was a product of a series of trade-offs between principal actors and groups. For the United States, which did not want a new organization, the dispute settlement part of the WTO package achieved its longstanding goal of a more effective and more legal dispute settlement system. For the Europeans, who by the 1990s had come to view GATT dispute settlement less in political terms and more as a regime of legal obligations, the WTO package was acceptable as a means to discipline the resort to unilateral measures by the United States. Countries like Canada and other middle and smaller trading partners were attracted by the expansion of a rules-based system and by the symbolic value of a trade organization, both of which inherently support the weak against the strong. The developing countries were attracted due to the provisions banning unilateral measures. Finally, and perhaps most important, many countries at the Uruguay Round came to put a higher priority on the export gains than on the import losses that the negotiation would produce, and they came to associate the WTO and a rules-based system with those gains. This reasoning — replicated in many countries — was contained in US Ambassador Kantor’s defence of the WTO, and it amounted to a recognition that international trade and its benefits cannot be enjoyed unless trading nations accept the discipline of a negotiated rules-based environment.

A second factor in the creation of the WTO was pressure from lawyers and the legal process. The dispute settlement system of the WTO was seen as a victory of legalists over pragmatists but the matter went deeper than that. The GATT, and the WTO, are contract organizations based on rules, and it is inevitable that an organization created to further rules will in turn be influenced by the legal process. Robert Hudec has written of the ‘momentum of legal development’, but what is this precisely? Legal development can be defined as promotion of the technical legal values of consistency, clarity (or, certainty) and effectiveness: these are values that those responsible for administering any legal system will seek to maximize. As it played out in the WTO, consistency meant integrating under one roof the whole lot of separate agreements signed under GATT auspices; clarity meant removing ambiguities about the powers of contracting parties to make certain decisions or to undertake waivers: and effectiveness meant eliminating exceptions arising out of grandfather-rights and resolving defects in dispute settlement procedures and institutional provisions. Concern for these values is inherent in any rules-based system of cooperation, since without these values, rules would be meaningless in the first place. Rules, therefore, create their own incentive for fulfilment.

The momentum of legal development has occurred in other institutions besides the GATT, most notably in the European Union (EU). Over the past two decades the European Court of Justice (ECJ) has consistently rendered decisions that have expanded incrementally the EU’s internal market, in which the doctrine of ‘mutual recognition’ handed down in the
case Cassis de Dijon in 1979 was a key turning point. The court is now widely recognized as a major player in European integration, even though arguably such a strong role was not originally envisaged in the Treaty of Rome, which initiated the current European Union. One means the court used to expand integration was the ‘teleological method of interpretation’, whereby the actions of member states were evaluated against ‘the accomplishment of the most elementary community goals set forth in the Preamble to the [Rome] Treaty’. The teleological method represents an effort to keep current policies consistent with stated goals, and it is analogous to the effort in GATT to keep contracting party trade practices consistent with stated rules. In both cases legal concerns and procedures are an independent force for further cooperation.

In large part, the WTO was an exercise in consolidation. In the context of a trade negotiation that created a near-revolutionary expansion of international trade rules, the formation of the WTO was a deeply conservative act needed to ensure that the benefits of the new rules would not be lost. The WTO was all about institutional structure and dispute settlement: these are the concerns of conservatives and not revolutionaries, which is why lawyers and legalists took the lead on these issues. The WTO codified the GATT institutional practice that had developed by custom over three decades, and it incorporated a new dispute settlement system that was necessary to keep both old and new rules from becoming a sham. Both the international structure and the dispute settlement system were necessary to preserve and enhance the integrity of the multilateral trade regime that had been built incrementally from the 1940s to the 1990s.

Question 1 · MCQ

What could be the closest reason why the WTO was not formed in the 1970s?
  1. A.
    The US government did not like it.
  2. B.
    Important players did not find it in their best interest to do so.
    ✓ Correct
  3. C.
    Lawyers did not work for the dispute settlement system.
  4. D.
    The Tokyo Round negotiation was an attempt at constitutional reform.
Solution
The passage indicates that the WTO could have been part of the Tokyo Round, but key players did not find sufficient benefit at that time. By the 1990s, the US, Europe, developing countries, and others each saw advantages (dispute settlement, discipline on unilateral measures, rules-based gains). Thus, the alignment of interests was missing in the 1970s.

Question 2 · MCQ

The most likely reason for the acceptance of the WTO package by nations was that
  1. A.
    it had the means to prevent the US from taking unilateral measures.
  2. B.
    they recognized the need for a rule-based environment to protect the benefits of increased trade.
    ✓ Correct
  3. C.
    it settles disputes more legally and more effectively.
  4. D.
    its rule-based system leads to export gains.
Solution
The passage states that the most important factor was that "many countries ... came to put a higher priority on the export gains ... and they came to associate the WTO and a rules-based system with those gains. This reasoning ... amounted to a recognition that international trade and its benefits cannot be enjoyed unless trading nations accept the discipline of a negotiated rules-based environment." Thus, they accepted it to protect trade benefits via a rules-based system.

Question 3 · MCQ

According to the passage, WTO promoted the technical legal values partly through
  1. A.
    integrating under one roof the agreements signed under GATT.
    ✓ Correct
  2. B.
    rules that create their own incentive for fulfilment.
  3. C.
    grandfather-rights exceptions and defects in dispute settlement procedures.
  4. D.
    ambiguities about the powers of contracting parties to make certain decisions.
Solution
The passage defines how the WTO promoted legal values: "consistency meant integrating under one roof the whole lot of separate agreements signed under GATT auspices." This directly matches option 1. The other options distort the text (grandfather-rights were eliminated, not promoted; rules creating their own incentive is a consequence, not a method).

Question 4 · MCQ

In the method of interpretation of the European Court of Justice,
  1. A.
    current policies needed to be consistent with stated goals.
  2. B.
    contracting party trade practices needed to be consistent with stated rules.
  3. C.
    enunciation of the most elementary community goals needed to be emphasised.
  4. D.
    actions of member states needed to be evaluated against the stated community goals.
    ✓ Correct
Solution
The passage directly describes the teleological method: “the actions of member states were evaluated against ‘the accomplishment of the most elementary community goals set forth in the Preamble to the [Rome] Treaty’.” This matches option 4 exactly.

Question 5 · MCQ

In the statement “ . . . it amounted to a recognition that international trade and its benefits cannot be enjoyed unless trading nations accept the discipline of a negotiated rules-based environment”, ‘it’ refers to
  1. A.
    Ambassador Kantor’s defence of the WTO.
  2. B.
    the higher priority on export gains placed by many countries at the Uruguay Round.
  3. C.
    the export gains many countries came to associate with a rule-based system.
    ✓ Correct
  4. D.
    the provision of a rule-based system by the WTO.
Solution
The “it” refers back to “This reasoning” from the previous sentence. That reasoning is that many countries “came to associate the WTO and a rules‑based system with those [export] gains.” Thus the recognition flows from the idea that export gains and the rules‑based system are linked. Option 3 captures this association.

Question 6 · MCQ

The importance of Cassis de Dijon is that it
  1. A.
    gave a new impetus to the momentum of legal development at the European Court of Justice.
  2. B.
    resulted in a decision that expanded incrementally the EU’s internal market.
  3. C.
    strengthened the role of the court more than envisaged in the Treaty of Rome.
  4. D.
    led to a doctrine that was a key turning point in European integration.
    ✓ Correct
Solution
The passage states that the doctrine of mutual recognition from the Cassis de Dijon case “was a key turning point” in the incremental expansion of the EU’s internal market. Option 4 directly paraphrases this as a doctrine that was a key turning point in European integration.

DILR · Data Interpretation & Logical Reasoning

Set

Each question has a main statement followed by four statements labelled A, B, C and D. Choose the ordered pair of statements where the first statement implies the second, and the two statements are logically consistent with the main statement.

Question 1 · MCQ

Either the orangutan is not angry, or he frowns upon the world.
A. The orangutan frowns upon the world.
B. The orangutan is not angry.
C. The orangutan does not frown upon the world.
D. The orangutan is angry.
  1. A.
    CB only
  2. B.
    DA only
  3. C.
    AB only
  4. D.
    CB and DA
    ✓ Correct
Solution
Let Angry = A, Frown = F. Main statement: ¬A ∨ F.

Check ordered pairs:
  • CB (C: ¬F, B: ¬A): ¬F ⇒ ¬A (if ¬F, then ¬A must hold for ¬A ∨ F to be true). Valid.
  • DA (D: A, A: F): A ⇒ F (if A, then ¬A is false, so F must be true). Valid.
  • AB (A: F, B: ¬A): F does not force ¬A (when F is true, ¬A can be false). Invalid.
Both CB and DA are valid. Answer: option 4.

Question 2 · MCQ

Either Ravana is a demon, or he is a hero.
A. Ravana is a hero.
B. Ravana is a demon.
C. Ravana is not a demon.
D. Ravana is not a hero.
  1. A.
    CD only
  2. B.
    BA only
  3. C.
    CD and BA
  4. D.
    DB and CA
    ✓ Correct
Solution
Let Demon = D, Hero = H. Main statement: D ∨ H.

Check ordered pairs:
  • DB (D: ¬H, B: D): ¬H ⇒ D (if ¬H, then H is false, so D must be true). Valid.
  • CA (C: ¬D, A: H): ¬D ⇒ H (if ¬D, then D is false, so H must be true). Valid.
  • CD (C: ¬D, D: ¬H): ¬D ⇒ ¬H? No, ¬D forces H, not ¬H. Invalid.
  • BA (B: D, A: H): D ⇒ H? No, D true leaves H free. Invalid.
Both DB and CA are valid. Answer: option 4.

Question 3 · MCQ

Whenever Rajeev uses the Internet, he dreams about spiders.
A. Rajeev did not dream about spiders.
B. Rajeev used the Internet.
C. Rajeev dreamt about spiders.
D. Rajeev did not use the Internet.
  1. A.
    AD
    ✓ Correct
  2. B.
    DC
  3. C.
    CB
  4. D.
    DA
Solution
Main statement: \( \mathrm{Use} \rightarrow \mathrm{Dream} \).

Option AD: first A (\( \neg \mathrm{Dream} \)), second D (\( \neg \mathrm{Use} \)).

The contrapositive of the main statement is \( \neg \mathrm{Dream} \rightarrow \neg \mathrm{Use} \). Therefore, A implies D.

Both are consistent: \( \neg \mathrm{Dream} \) and \( \neg \mathrm{Use} \) together do not contradict \( \mathrm{Use} \rightarrow \mathrm{Dream} \).

Other options:
  • DC fails because \( \neg \mathrm{Use} \) does not imply \( \mathrm{Dream} \).
  • CB fails because \( \mathrm{Dream} \) does not imply \( \mathrm{Use} \).
  • DA fails because \( \neg \mathrm{Use} \) does not imply \( \neg \mathrm{Dream} \).

Question 4 · MCQ

If I talk to my professors, then I do not need to take a pill for headache.
A. I talked to my professors.
B. I did not need to take a pill for headache.
C. I needed to take a pill for headache.
D. I did not talk to my professors.
  1. A.
    AB only
  2. B.
    DC only
  3. C.
    CD only
  4. D.
    AB and CD
    ✓ Correct
Solution
Main statement: \( \text{Talk} \to \neg \text{Pill} \).

AB: first A (\( \text{Talk} \)), second B (\( \neg \text{Pill} \)). Given the main statement, \( \text{Talk} \) directly implies \( \neg \text{Pill} \). Both are consistent.

CD: first C (\( \text{Pill} \)), second D (\( \neg \text{Talk} \)). Contrapositive is \( \text{Pill} \to \neg \text{Talk} \). So C implies D. Both are consistent.

DC fails: \( \neg \text{Talk} \) does not imply \( \text{Pill} \).

Thus both AB and CD are valid, making option 4 correct.

QA · Quantitative Ability

Question 1 · MCQ

The number of positive integer valued pairs \((x, y)\) satisfying \(4x - 17y = 1\) and \(x \le 1000\) is
  1. A.
    59
    ✓ Correct
  2. B.
    57
  3. C.
    55
  4. D.
    58
Solution
We need positive integer solutions to \(4x - 17y = 1\) with \(x \le 1000\).

Rearrange: \(4x = 17y + 1\) ⟹ \(x = \frac{17y + 1}{4}\).
For integer \(x\), \(17y + 1\) must be divisible by 4. Since \(17 \equiv 1 \pmod 4\), we need \(y + 1 \equiv 0 \pmod 4\), i.e., \(y \equiv 3 \pmod 4\).
Thus \(y = 4k - 1\) for integer \(k \ge 1\) (positive \(y\) starts at \(y=3\) when \(k=1\)).
Substituting: \(x = \frac{17(4k-1)+1}{4} = 17k - 4\).

Now impose \(x \le 1000\): \(17k - 4 \le 1000\) ⟹ \(17k \le 1004\) ⟹ \(k \le \frac{1004}{17} \approx 59.0588\) ⟹ \(k \le 59\).
So \(k = 1,2,\dots,59\) give 59 valid pairs \((x,y)\).

Question 2 · MCQ

The remainder when \(7^{84}\) is divided by 342 is
  1. A.
    0
  2. B.
    1
    ✓ Correct
  3. C.
    49
  4. D.
    341
Solution
Note that \(7^3 = 343 = 342 + 1\).
So \(7^3 \equiv 1 \pmod{342}\).
Then \(7^{84} = (7^3)^{28} \equiv 1^{28} = 1 \pmod{342}\).
Thus the remainder is 1.

Question 3 · MCQ

Ten points are marked on a straight-line and 11 points are marked on another straight-line. How many triangles can be constructed with vertices from among the above points?
  1. A.
    495
  2. B.
    550
  3. C.
    1045
    ✓ Correct
  4. D.
    2475
Solution
Total ways to choose any 3 points from the \(10+11=21\) points:
\(\binom{21}{3} = 1330\).
Subtract the degenerate triangles (all three points collinear):
\(\binom{10}{3} = 120\) from the first line,
\(\binom{11}{3} = 165\) from the second line.
Number of triangles \(= 1330 - 120 - 165 = 1045\).

Question 4 · MCQ

For a scholarship, at the most \(n\) candidates out of \(2n + 1\) can be selected. If the number of different ways of selection of at least one candidate is 63, the maximum number of candidates that can be selected for the scholarship is
  1. A.
    3
    ✓ Correct
  2. B.
    4
  3. C.
    6
  4. D.
    5
Solution
Let the maximum number of candidates to be selected be \(n\). Then the total number of candidates is \(2n+1\).
The number of ways to select at least one candidate and at most \(n\) candidates is \(\sum_{r=1}^{n} \binom{2n+1}{r} = 63\).
Trying \(n=3\): \(\binom{7}{1} + \binom{7}{2} + \binom{7}{3} = 7 + 21 + 35 = 63\).
Hence \(n=3\).

Question 5 · MCQ

Forty per cent of the employees of a certain company are men, and 75% of the men earn more than Rs. 25,000 per year. If 45% of the company's employees earn more than Rs. 25,000 per year, what fraction of the women employed by the company earn less than or equal to Rs. 25,000 per year?
  1. A.
    \(\frac{2}{11}\)
  2. B.
    \(\frac{1}{4}\)
  3. C.
    \(\frac{1}{3}\)
  4. D.
    \(\frac{3}{4}\)
    ✓ Correct
Solution
Let total employees = 100.
Men = 40, Women = 60.
Men earning >25k = 75% of 40 = 30.
Total earning >25k = 45% of 100 = 45.
So women earning >25k = 45 - 30 = 15.
Women earning ≤25k = 60 - 15 = 45.
Fraction = \(45/60 = 3/4\).

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CAT 1999 Question Paper with Solutions | Catalyst