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CAT 2022 Slot 1 · DILR · Networks and Routes · medium

CAT 2022 Slot 1 DILR: Four-City Flight Network

A regional airline operates direct flights between only some pairs of four cities — Delhi, Mumbai, Chennai and Kolkata. The one-way fares on the direct routes that exist are given below; there is no direct flight between any pair of cities not listed. Fares are the same in both directions on a route.

| Route | Direct fare (₹) |
|---|---|
| Delhi – Mumbai | 4,500 |
| Delhi – Kolkata | 5,200 |
| Mumbai – Chennai | 3,800 |
| Chennai – Kolkata | 4,700 |

There is no direct flight between Delhi and Chennai, and none between Mumbai and Kolkata; travellers between these pairs must take one connecting flight through a common city, and the total fare is the sum of the fares of the two legs. Assume every itinerary uses the minimum possible number of connections.

Question 1

Single correct option

What is the cheapest total fare for a traveller flying from Delhi to Chennai?
  1. A. ₹8,200
  2. B. ₹8,300
  3. C. ₹8,500
  4. D. ₹9,900
Show answer and solution

Answer: (B) ₹8,300

There is no direct Delhi–Chennai flight, so the traveller must connect. Via Mumbai: 4,500 + 3,800 = ₹8,300. Via Kolkata: 5,200 + 4,700 = ₹9,900. The cheaper option is via Mumbai at ₹8,300.

Question 2

Single correct option

What is the cheapest route (and its fare) from Mumbai to Kolkata?
  1. A. Via Delhi, ₹9,700
  2. B. Via Chennai, ₹8,500
  3. C. Via Delhi, ₹8,500
  4. D. Via Chennai, ₹9,700
Show answer and solution

Answer: (B) Via Chennai, ₹8,500

There is no direct Mumbai–Kolkata flight. Via Delhi: 4,500 + 5,200 = ₹9,700. Via Chennai: 3,800 + 4,700 = ₹8,500. The cheaper route is via Chennai at ₹8,500.

Question 3

Numerical answer

A traveller flies Delhi → Kolkata → Chennai → Mumbai (three separate direct legs, no shorter route taken). What is the total fare paid, in ₹?
Show answer and solution

Answer: 13700

Sum the fares of the three direct legs actually flown: Delhi–Kolkata (5,200) + Kolkata–Chennai (4,700) + Chennai–Mumbai (3,800) = 5,200 + 4,700 + 3,800 = ₹13,700.

Question 4

Single correct option

Between the two city-pairs that have no direct flight (Delhi–Chennai and Mumbai–Kolkata), which one has the higher cheapest connecting fare, and what is that fare?
  1. A. Delhi–Chennai, ₹8,300
  2. B. Mumbai–Kolkata, ₹8,500
  3. C. Delhi–Chennai, ₹9,900
  4. D. Mumbai–Kolkata, ₹9,700
Show answer and solution

Answer: (B) Mumbai–Kolkata, ₹8,500

Cheapest fare for Delhi–Chennai = ₹8,300 (via Mumbai). Cheapest fare for Mumbai–Kolkata = ₹8,500 (via Chennai). Comparing the two, Mumbai–Kolkata has the higher cheapest fare at ₹8,500.

Question 5

Numerical answer

Using the cheapest available route each way, what is the total fare (in ₹) for a round trip from Delhi to Chennai and back to Delhi?
Show answer and solution

Answer: 16600

The cheapest one-way fare from Delhi to Chennai is ₹8,300 (via Mumbai, as shown earlier). Since fares are the same in both directions, the return leg also costs ₹8,300. Total round-trip fare = 8,300 × 2 = ₹16,600.
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Original question written in the CAT 2022 Slot 1 pattern and checked twice for the correct answer. Not an official question paper. How we write and check questions · Corrections policy · Report a mistake