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CAT 2019 Slot 1 · DILR · Data Interpretation · easy

CAT 2019 Slot 1 DILR: Smartphone Market Shares

The table below gives the total number of smartphones sold in a country (in million units) in each of four years, and the market share (by units sold) of four brands — Pixelon, Quanta, Rivo and Sonix. All other brands are grouped together as 'Others'.

| Year | 2015 | 2016 | 2017 | 2018 |
|---|---|---|---|---|
| Total units sold (million) | 120 | 150 | 160 | 200 |

| Brand | 2015 | 2016 | 2017 | 2018 |
|---|---|---|---|---|
| Pixelon | 30% | 28% | 25% | 22% |
| Quanta | 20% | 22% | 25% | 24% |
| Rivo | 15% | 16% | 20% | 25% |
| Sonix | 10% | 12% | 10% | 14% |
| Others | 25% | 22% | 20% | 15% |

Assume that each brand's unit sales = market share × total units sold in that year.

Question 1

Numerical answer

In how many instances did one of the four named brands (Pixelon, Quanta, Rivo, Sonix) sell fewer units in a year than it did in the previous year? (Each brand–year combination counts as one instance.)
Show answer and solution

Answer: 2

Convert shares to units (million):

| Brand | 2015 | 2016 | 2017 | 2018 |
|---|---|---|---|---|
| Pixelon | 36 | 42 | 40 | 44 |
| Quanta | 24 | 33 | 40 | 48 |
| Rivo | 18 | 24 | 32 | 50 |
| Sonix | 12 | 18 | 16 | 28 |
| Others | 30 | 33 | 32 | 30 |

Decreases: Pixelon 2016 → 2017 (42 → 40) and Sonix 2016 → 2017 (18 → 16). Quanta and Rivo rose every year. Total = 2.

Trap: Pixelon's share fell every year, but falling share does not mean falling units when the market is growing.

Question 2

Single correct option

Which brand recorded the highest percentage increase in units sold from 2015 to 2018?
  1. A. Rivo
  2. B. Pixelon
  3. C. Quanta
  4. D. Sonix
Show answer and solution

Answer: (A) Rivo

Units (million) 2015 → 2018:

- Pixelon 36 → 44: +22.2%
- Quanta 24 → 48: +100%
- Rivo 18 → 50: +177.8%
- Sonix 12 → 28: +133.3%

Rivo has the highest growth.

Shortcut: growth factor = (share ratio) × (market ratio 200/120 = 5/3). Rivo's share ratio 25/15 = 5/3 is the largest, so its factor 25/9 ≈ 2.78 is the largest.

Question 3

Numerical answer

In 2018 the average selling price of a Quanta smartphone was ₹12,500. What was Quanta's total revenue from smartphones in 2018, in ₹ crore? (1 crore = 10 million)
Show answer and solution

Answer: 60000

Quanta's 2018 units = 24% of 200 million = 48 million.

Revenue = 48,000,000 × 12,500 = ₹6,00,000,000,000 = 6 × 10¹¹.

1 crore = 10⁷, so revenue = 6 × 10¹¹ / 10⁷ = 60,000 crore.

Tip: 48 million = 4.8 crore units; 4.8 crore × 12,500 = 60,000 crore.

Question 4

Single correct option

By what percentage did the units sold by 'Others' change from 2015 to 2018?
  1. A. +5%
  2. B. −40%
  3. C. −10%
  4. D. 0%
Show answer and solution

Answer: (D) 0%

Others' units: 2015 = 25% of 120 = 30 million; 2018 = 15% of 200 = 30 million. The change is 0%.

(2016: 33, 2017: 32.)

−40% is the change in market share (25% → 15%), not in units — the classic share-versus-volume trap.
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Original question written in the CAT 2019 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