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This page contains Deloitte aptitude questions with detailed solutions. Take the free mock quiz below for timed practice with scoring, then work through the solved set.
Timed placement-style MCQs with score and explanations after you submit. Use it to check speed and accuracy before the real test.
Quantitative
A man can do a piece of work in 10 days, and another man can do it in 15 days. How long will they take to complete the work together?
First man's 1 day work = 1/10 Second man's 1 day work = 1/15 Combined 1 day work = 1/10 + 1/15 = (3+2)/30 = 5/30 = 1/6 Time taken together = 6 days
Reasoning
Find the next number: 1, 4, 9, 16, 25, ?
Correct answer: 36
Verbal
Choose the correct sentence:
Neither takes singular verb; "options" is plural noun with of.
Quantitative
If a number is increased by 20% and then decreased by 15%, what is the net change?
Correct answer: +2% increase
Verbal
Problem: Choose the synonym for "Ephemeral": a) Eternal b) Transient c) Permanent d) Perpetual
"Ephemeral" means lasting for a very short time, temporary. "Transient" has the same meaning.
Reasoning
If BOOK is coded as 43 (sum of letter positions), PEN is coded as:
P+E+N = 16+5+14 = 35.
Quantitative
If "INFOSYS" is coded as "SYFOSNI", how is "SYSTEM" coded?
Pattern: Letters are reversed INFOSYS → SYFOSNI (reversed) SYSTEM → METSYS (reversed)
Reasoning
Find next number: 3, 6, 12, 24, 48, ?
Pattern: Each number = previous × 2 3×2=6, 6×2=12, 12×2=24, 24×2=48 Next: 48×2 = 96
Quantitative
The LCM of 12 and 18 is:
LCM(12,18) = 36.
Verbal
Choose the correct preposition: The meeting will be held _____ 3 PM.
Correct answer: at
Reasoning
Statements: All dogs are animals. Some animals are pets. Conclusion: Some dogs are pets.
No definite relation that dogs are pets.
Verbal
A man sells two articles for ₹4000 each, one at 20% profit and the other at 20% loss. Find his overall profit or loss percentage.
Correct answer: 4% loss
Reasoning
If letter positions are summed (A=1…Z=26), ART equals:
Sum of positions = 39.
Quantitative
A person walks 5 km at 5 km/h and 10 km at 10 km/h. Average speed is:
Time = 1 h + 1 h = 2 h. Average = 15/2 = 7.5 km/h.
Quantitative
In a class of 40 students, Ravi ranks 15th from the top. What is his rank from the bottom?
Total students = 40 Rank from top = 15 Rank from bottom = 40 - 15 + 1 = 26
Your score
0/15(0%)
Typical aptitude mix (from student reports):
Let original = 100 → 120 → 96. Net = 4% decrease.
Answer: 4% decrease
Reduction = 25/(100+25)×100 = 20%.
Answer: 20%
SP = 1.4 × 0.9 × CP = 1.26 CP → 26% profit.
Answer: 26%
0.9P + 60 = 1.05P → P = ₹400.
Answer: ₹400
1/12 + 1/18 = 5/36 → 7.2 days.
Answer: 7.2 days
Man-days = 80 → 8 days.
Answer: 8 days
60×2.5 = 150 km.
Answer: 150 km
3:7 after canceling middle 5s carefully → actually 3/5 × 5/7 = 3:7.
Answer: 3:7
₹1200.
Answer: ₹1200
18.
Answer: 18
Answer: Plentiful
Answer: goes
Answer: Malevolent
Answer: Accommodate
Answer: Drill 10 S-V questions/day in your error log.
42.
Answer: 42
Rate = 1/12 + 1/19. Days = reciprocal of that sum.
Answer: compute exactly before the exam; practice the fraction form daily.
Reduction % = r/(100+r)×100 with r=18.
Answer: 18/(100+18)×100 (simplify).
Sum 126 → 112 → average 16.
Answer: 16
SI = 8000×7.5×2/100 = ₹1200.
Answer: ₹1200
Answer: Alleviate / reduce
Multiply by 3 → 243.
Answer: 243
Practice coding-decoding patterns: +1/−1, reverse, position sums.
Answer: pattern-dependent; master 4 common patterns.
Does not follow necessarily.
Answer: Does not follow
(40+50+60+70)/4 = 55.
Answer: 55
100.
Answer: 100
Always draw. Do not solve arrangement fully in your head under time.
A is child of C (daughter if genders standard as stated).
Answer: Daughter (given A is sister)
| Section | Practice block | Target accuracy |
|---|---|---|
| Numerical | 15 Q / 15 min | 80%+ |
| Reasoning | 15 Q / 15 min | 75%+ |
| Verbal | 12 Q / 10 min | 85%+ |
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