LTIMindtree Aptitude Questions 2026: Worked Solutions

The LTIMindtree online test allocates 15 marks to quantitative aptitude: no negative marking, one mark per question, and topics running from percentages to probability.

The 7 worked questions below cover every topic in the syllabus. Each solution is derived from first principles. The section on logical reasoning is a separate part of the test and is covered in the LTIMindtree aptitude and logical reasoning guide.

What the LTIMindtree Aptitude Section Covers

Mindtree and L&T Infotech merged in December 2022 to form LTIMindtree. The hiring test is now called the LTIMindtree National Hiring Test (NTH). The overall structure still includes a quantitative aptitude component alongside logical reasoning, verbal ability, and a coding section.

Section	Questions	Marks	Negative Marking
Quantitative Aptitude	15	15	None
Logical Reasoning	15	15	None
Verbal Ability	25	25	None
Coding	Multiple	Varies	None

The quantitative aptitude syllabus spans:

• Percentages and percentage change
• Profit, loss, and mixtures
• Time, speed, and distance
• Time and work (pipes, workers)
• Ratios, proportions, and ages
• Permutations and combinations
• Probability

See the full test pattern and syllabus breakdown for section-by-section time allocation and cut-off context.

Percentages and Profit/Loss — Worked Problems

Q1 — Percentage Change

• Problem: A product is marked up 40% above its cost price. The shopkeeper then offers a 25% discount on the marked price. Find the net profit percentage.
• Step 1: Assume cost price (CP) = 100 units.
• Step 2: Marked price (MP) = 100 + 40% of 100 = 140 units.
• Step 3: Selling price (SP) after 25% discount = 140 × 0.75 = 105 units.
• Step 4: Profit = SP − CP = 105 − 100 = 5 units.
• Step 5: Profit percentage = (5 ÷ 100) × 100 = 5%.
• Answer: 5% profit.

The key point: the markup and discount percentages operate on different bases (CP and MP respectively), not on the same base. Swapping the order of operations here produces the same answer for this particular pair of percentages, but that is coincidental. Work through both bases explicitly to avoid the commutative-swap error.

Q2 — Profit/Loss Mixture

• Problem: A vendor produces 160 litres of a drink. Some litres are sold at 10% profit, the rest at 6% profit. The overall profit on all 160 litres is 9%. How many litres were sold at 10% profit?
• Step 1: Let cost price per litre = ₹1, so total CP = ₹160.
• Step 2: Total SP at 9% overall profit = 160 × 1.09 = ₹174.4.
• Step 3: Let x litres be sold at 10% profit; (160 − x) litres at 6% profit.
• Step 4: Write the SP equation: 1.1x + 1.06(160 − x) = 174.4.
• Step 5: Expand: 1.1x + 169.6 − 1.06x = 174.4.
• Step 6: 0.04x = 4.8, so x = 120 litres.
• Answer: 120 litres sold at 10% profit.

Time-Speed-Distance and Time-and-Work — Worked Problems

Q3 — Train Crossing

• Problem: A train 200 m long passes two signposts 7.8 km apart in 400 seconds. Find the speed of the train in km/h.
• Step 1: Convert train length to km: 200 m = 0.2 km.
• Step 2: Total distance covered = distance between signposts + length of train = 7.8 + 0.2 = 8 km.
• Step 3: Convert time to hours: 400 seconds = 400 ÷ 3600 = 1/9 hours.
• Step 4: Speed = Distance ÷ Time = 8 ÷ (1/9) = 8 × 9 = 72 km/h.
• Answer: 72 km/h.

Note: a common error is to treat the train length as already included in the 7.8 km figure, omitting the 0.2 km addition. Whenever a moving body must completely clear a fixed stretch, always add the body’s own length to the gap.

Q4 — Time and Work

• Problem: A completes a task in 10 days; B completes the same task in 15 days. They work together for 4 days, after which A leaves. How many more days does B need to finish the remaining work?
• Step 1: LCM(10, 15) = 30 units. Treat 30 units as the total work.
• Step 2: A’s rate = 30 ÷ 10 = 3 units per day; B’s rate = 30 ÷ 15 = 2 units per day.
• Step 3: Combined rate = 3 + 2 = 5 units per day.
• Step 4: Work done in 4 days together = 5 × 4 = 20 units.
• Step 5: Remaining work = 30 − 20 = 10 units.
• Step 6: B alone completes 10 units at 2 units per day = 5 days.
• Answer: B needs 5 more days.

Ratio, Permutations, and Probability — Worked Problems

Q5 — Ratio and Ages

• Problem: A is currently 50 years old; B is currently 70 years old. How many years ago was the ratio of their ages 2:3?
• Step 1: Let x = number of years ago when the ratio was 2:3.
• Step 2: Set up the equation: (50 − x) ÷ (70 − x) = 2 ÷ 3.
• Step 3: Cross-multiply: 3(50 − x) = 2(70 − x).
• Step 4: 150 − 3x = 140 − 2x.
• Step 5: 150 − 140 = 3x − 2x, so x = 10.
• Verify: (50 − 10) ÷ (70 − 10) = 40 ÷ 60 = 2:3. ✓
• Answer: 10 years ago.

Q6 — Combinations

• Problem: A project team forms a committee of 2 engineers and 2 analysts from a pool of 5 engineers and 4 analysts. In how many distinct ways can the committee be formed?
• Step 1: Choose 2 engineers from 5 (order does not matter): C(5,2) = 5! ÷ (2! × 3!) = (5 × 4) ÷ (2 × 1) = 10 ways.
• Step 2: Choose 2 analysts from 4: C(4,2) = 4! ÷ (2! × 2!) = (4 × 3) ÷ (2 × 1) = 6 ways.
• Step 3: Total = 10 × 6 = 60 ways (multiplication principle: independent selections multiply).
• Answer: 60 distinct committees.

Q7 — Probability

• Problem: A bag contains 5 red balls and 3 blue balls. Two balls are drawn at random without replacement. What is the probability that both balls are red?
• Method 1 (step-by-step conditional probability):
  • P(first ball red) = 5 ÷ 8.
  • After one red is removed, bag has 4 red and 3 blue (7 total).
  • P(second ball red given first was red) = 4 ÷ 7.
  • P(both red) = (5 ÷ 8) × (4 ÷ 7) = 20 ÷ 56 = 5/14.
• Method 2 (combinations):
  • Favourable outcomes = C(5,2) = 10.
  • Total outcomes = C(8,2) = 28.
  • P(both red) = 10 ÷ 28 = 5/14.
• Answer: 5/14.

Both methods agree. Method 1 uses the multiplication rule for conditional probability: P(A and B) = P(A) × P(B given A). This is not the addition theorem; do not confuse the two when labelling your working.

Scoring Strategy for the Aptitude Section

No negative marking changes the optimal strategy: attempt every question. In a timed 15-question set, a question left blank is a guaranteed zero; a guessed answer has at minimum a one-in-four chance of earning a mark.

Time allocation: with typically 20 to 25 minutes for the aptitude section, that is roughly 1.5 minutes per question. Percentages and ratios tend to resolve fastest; probability and combinations take longer. Tackle the high-speed topics first, flag the combinations and probability questions for the end.

LTIMindtree resumed campus hiring in 2025 and aims to onboard around 5,000 freshers this fiscal, using AI-assisted coding evaluation to differentiate candidates. The company’s BlueVerse AI platform launch signals that AI capability will weigh heavier in the premium-track evaluation over time. Clearing the 15-question aptitude section is the gate to the coding round where that evaluation happens. See the full selection process steps for what comes after the aptitude screen.

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