CAT 2024 Slot 1 · DILR · Question 2
CAT 2024 Slot 1 previous year question on Mixed DI (Radar, Triangular, Stock etc), with the answer and a step-by-step solution.
Set 1: Candlestick Plot of Seven Shares — this question belongs to a set. Read the full set with all 4 questions →
The chart below shows the price data for seven shares - A, B, C, D, E, F, and G as a candlestick plot for a particular day. The vertical axis shows the price of the share in rupees. A share whose closing price (price at the end of the day) is more than its opening price (price at the start of the day) is called a bullish share; otherwise, it is called a bearish share. All bullish and bearish shares are shown in green and red colour respectively.
Daily Share Price Variability (SPV) is defined as (Day’s high price - Day’s low price) / (Average of the opening and closing prices during the day). How many shares had an SPV greater than 0.5 on that day?
Answer & solution
Answer: 4
Solving the set
How to read a candle: the thick body shows the opening and closing prices, and the thin lines (wicks) above and below show the day's high and low.
• Red (bearish) candle: top of the body = opening price, bottom of the body = closing price (the price fell).
• Green (bullish) candle: bottom of the body = opening price, top of the body = closing price (the price rose).
Step 1 – Read all seven candles against the price axis (gridlines every Rs 200).
|
Share |
Colour |
Opening (Rs) |
Closing (Rs) |
High (Rs) |
Low (Rs) |
|
A |
Red (bearish) |
2200 |
1800 |
2400 |
1200 |
|
B |
Red (bearish) |
2000 |
1700 |
2000 |
1400 |
|
C |
Green (bullish) |
800 |
1200 |
1400 |
800 |
|
D |
Green (bullish) |
500 |
1000 |
1200 |
300 |
|
E |
Red (bearish) |
1300 |
1100 |
1400 |
1100 |
|
F |
Red (bearish) |
1800 |
1600 |
2000 |
1200 |
|
G |
Green (bullish) |
1200 |
1700 |
1900 |
1000 |
Step 2 – Classify the shares. Bullish (green): C, D and G. Bearish (red): A, B, E and F.
Step 3 – Compute SPV = (High − Low) / ((Open + Close)/2) for every share.
|
Share |
High − Low |
Average of Open & Close |
SPV |
SPV > 0.5? |
|
A |
2400 − 1200 = 1200 |
(2200 + 1800)/2 = 2000 |
0.60 |
Yes |
|
B |
2000 − 1400 = 600 |
(2000 + 1700)/2 = 1850 |
0.32 |
No |
|
C |
1400 − 800 = 600 |
(800 + 1200)/2 = 1000 |
0.60 |
Yes |
|
D |
1200 − 300 = 900 |
(500 + 1000)/2 = 750 |
1.20 |
Yes |
|
E |
1400 − 1100 = 300 |
(1300 + 1100)/2 = 1200 |
0.25 |
No |
|
F |
2000 − 1200 = 800 |
(1800 + 1600)/2 = 1700 |
0.47 |
No |
|
G |
1900 − 1000 = 900 |
(1200 + 1700)/2 = 1450 |
0.62 |
Yes |
Step 4 – Compute the daily loss = (Open − Close)/Open for the bearish shares named in the questions. A bullish share closes higher than it opens, so its 'loss' is negative (it gained).
|
Share |
Opening − Closing |
Daily loss |
|
A |
2200 − 1800 = 400 |
400/2200 ≈ 18.2% |
|
B |
2000 − 1700 = 300 |
300/2000 = 15% |
|
F |
1800 − 1600 = 200 |
200/1800 ≈ 11.1% |
|
G |
1200 − 1700 = −500 (a gain) |
Negative (no loss) |
This question
From Step 3, SPV is above 0.5 for A (0.60), C (0.60), D (1.20) and G (0.62). B (0.32), E (0.25) and F (0.47) are below 0.5.
So 4 shares had SPV greater than 0.5.
Shortcut: SPV > 0.5 means High − Low > (Open + Close)/4. For F: 800 > 3400/4 = 850 is false; for G: 900 > 2900/4 = 725 is true.
Hence, the answer is 4.
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