Daily
CAT question of the day
One Quant question a day, with the full solution after you answer. Come back tomorrow to keep your streak alive. It resets at midnight IST.
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How the question of the day works
Each day the page shows one Quant question chosen from a rotating bank of 256 original questions. Answer it, read the solution and your streak goes up by one. The streak is stored in your own browser, so it stays private, and it resets if you miss a day. Questions are either multiple choice or type in the answer, the two formats used in CAT Quant.
Ten focused minutes a day compound. Use the question as a warm up: if you get it right in under two minutes, try a harder set from the Quant practice tests. If you get it wrong, read the solution, then open the matching topic page and practise that idea until it feels automatic.
Recent questions with solutions
The last six days, in case you missed one.
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2026-10-17
If x + 1/x = 3, what is the value of x² + 1/x²?
- A 5
- B 7
- C 9
- D 11
Show answer and solution
Answer: B
Square both sides: x² + 2 + 1/x² = 9, so x² + 1/x² = 7.
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2026-10-16
What is the area of a triangle with sides 13 cm, 14 cm and 15 cm?
- A 84 sq cm
- B 91 sq cm
- C 96 sq cm
- D 105 sq cm
Show answer and solution
Answer: A
Semi-perimeter s = 21. Area = √(21 × 8 × 7 × 6) = √7056 = 84 sq cm.
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2026-10-15
The ages of A and B are in the ratio 3 : 5. Six years from now the ratio will be 2 : 3. What is the present age of B, in years?
- A 20
- B 25
- C 30
- D 35
Show answer and solution
Answer: C
Let the ages be 3x and 5x. Then (3x + 6)/(5x + 6) = 2/3, so 9x + 18 = 10x + 12 and x = 6. B = 5 × 6 = 30.
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2026-10-14
Two trains of lengths 150 m and 100 m run on parallel tracks in opposite directions at 54 km/h and 36 km/h. How many seconds do they take to cross each other completely?
- A 8
- B 10
- C 12
- D 15
Show answer and solution
Answer: B
Relative speed = 90 km/h = 25 m/s. Distance to cover = 150 + 100 = 250 m. Time = 250/25 = 10 seconds.
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2026-10-13
What is the sum of the first 20 terms of the series 5 + 9 + 13 + 17 + …?
- A 820
- B 840
- C 860
- D 880
Show answer and solution
Answer: C
a = 5, d = 4, n = 20. Sum = n/2 × [2a + (n − 1)d] = 10 × (10 + 76) = 860.
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2026-10-12
What is the smallest positive number that leaves a remainder of 5 when divided by 12, 18 and 30?
- A 175
- B 185
- C 195
- D 365
Show answer and solution
Answer: B
LCM(12, 18, 30) = 180. The number is 180 + 5 = 185.
Make it count
Ten focused minutes a day compound. After the daily question, try a sectional Quant test, flip through the CAT flashcards or sit a full length mock and read the guide to analysing it.