Mu Sigma Placement Papers with Solutions – FACE Prep
Mu Sigma Placement Papers | Latest Questions & Solutions
Introduction
Preparing for the Mu Sigma recruitment process? The Mu Sigma Test, popularly known as MuApt, is conducted by CoCubes, a leading assessment platform used by multiple companies. This test evaluates candidates on Quantitative Aptitude, Logical Reasoning, and Verbal Ability.
In this guide, you will find detailed insights into the test pattern, frequently asked questions, and their solutions. These questions are derived from past Mu Sigma placement papers, ensuring that you focus on the most relevant concepts.
Mu Sigma Placement Papers Analysis
The Mu Sigma placement test is divided into three main sections:
tests mathematical and analytical skills, assessing numerical problem-solving abilities.
Evaluates critical thinking and problem-solving through patterns, sequences, and logical deductions.
Measures language proficiency, comprehension, and grammatical accuracy.
Each section has a time constraint, making speed and accuracy essential.
Mu Sigma Quantitative Aptitude
Quantitative Aptitude is a crucial part of the Mu Sigma test. This section assesses your mathematical ability and problem-solving skills. Below is an overview of commonly asked topics:
| Topic | Importance |
|---|---|
| Time, Speed & Distance | High |
| Probability | Medium |
| Permutations & Combinations | High |
| Profit & Loss | Medium |
| Data Interpretation | High |
Sample Questions
1. Speed Ratio Problem
Question: Two cars start at the same time from two garages 200 km apart and move toward each other. They cross at a point 110 km from one of the garages. What is the ratio of their speeds?
A) 11:9
B) 7:3
C) 18:4
D) None of these
Solution:
- One car covers 110 km while the other covers 90 km.
- Since they travel for the same time, their speed ratio is 110:90 = 11:9.
- Correct answer: Option A
2. Average Sale Calculation
Question: A trader records monthly sales of Rs. 6435, Rs. 6927, Rs. 6855, Rs. 7230, and Rs. 6562. What should be the sales in the sixth month to achieve an average sale of Rs. 6500 per month?
A) Rs. 4991
B) Rs. 6991
C) Rs. 6001
D) Rs. 5991
Solution:
- Total sales for 5 months = Rs. (6435 + 6927 + 6855 + 7230 + 6562) = Rs. 34009.
- Required total for 6 months = 6500 × 6 = Rs. 39000.
- Required sixth-month sales = 39000 – 34009 = Rs. 4991.
- Correct answer: Option A
3. Time, Speed, and Distance
A train 180 meters long is running at a speed of 54 km/hr. How much time will it take to cross a platform 120 meters long?
A) 10 sec
B) 15 sec
C) 20 sec
D) 25 sec
Answer: B) 15 sec
Explanation:
- Speed = 54 km/hr = (54 × 5/18) m/s = 15 m/s
- Total distance to be covered = Train length + Platform length = 180 + 120 = 300 m
- Time = Distance / Speed = 300 / 15 = 15 seconds
2. Ratio and Proportion
The ratio of the ages of A and B is 4:5. After 6 years, the ratio becomes 5:6. Find A’s present age.
A) 20 years
B) 24 years
C) 30 years
D) 36 years
Answer: A) 20 years
Explanation:
- Let A’s and B’s present ages be 4x and 5x respectively.
- After 6 years: 4x+65x+6=56\frac{4x + 6}{5x + 6} = \frac{5}{6}5x+64x+6=65
- Cross multiplying: 6(4x+6)=5(5x+6)6(4x + 6) = 5(5x + 6)6(4x+6)=5(5x+6) 24x+36=25x+3024x + 36 = 25x + 3024x+36=25x+30 x=6x = 6x=6
- A’s age = 4 × 6 = 20 years
3. Probability
A bag contains 4 red balls, 5 blue balls, and 6 green balls. If a ball is drawn at random, what is the probability of drawing a blue ball?
A) 5/15
B) 4/15
C) 1/3
D) 2/5
Answer: C) 1/3
Explanation:
- Total balls = 4 + 5 + 6 = 15
- Favorable outcomes (blue balls) = 5
- Probability = 5/15 = 1/3
4. Simple Interest
A sum of money becomes ₹7800 in 2 years and ₹9000 in 5 years at simple interest. Find the rate of interest per annum.
A) 10%
B) 12%
C) 15%
D) 20%
Answer: A) 10%
Explanation:
- Interest for 3 years = ₹9000 – ₹7800 = ₹1200
- Interest per year = 1200/3 = ₹400
- Principal = ₹7800 – (2 × ₹400) = ₹7000
- Rate = (400 × 100) / 7000 = 10% per annum
5. Number Series
Find the missing number in the series:
3, 8, 15, 24, 35, ?
A) 48
B) 49
C) 50
D) 51
Answer: B) 49
Explanation:
- The pattern is: (n² + 2)
- 1² + 2 = 3
- 2² + 4 = 8
- 3² + 6 = 15
- 4² + 8 = 24
- 5² + 10 = 35
- 6² + 12 = 49
Mu Sigma Logical Reasoning
Logical Reasoning tests decision-making skills. Below are key areas of focus:
| Topic | Importance |
|---|---|
| Coding-Decoding | High |
| Number Series | High |
| Logical Puzzles | Medium |
| Data Sufficiency | Medium |
| Blood Relations | Medium |
Sample Questions
1. Alphanumeric Series Check
Question: SC-4408XXCVI-TT5564 SC-4408XXCVI-TT4564
A) Alike
B) Different
Solution: The two sequences differ in the last four digits.
- Correct answer: Option B
2. Phone Number Comparison
Question: Ph #844-46484844 .. Ph #844-46484844
A) Alike
B) Different
Solution: The phone numbers are identical.
- Correct answer: Option A
3. Number Series
Find the missing number in the series:
3, 9, 27, 81, ?
A) 162
B) 243
C) 324
D) 729
Answer: B) 243
Explanation:
Each term is multiplied by 3 to get the next term.
- 3×3=93 × 3 = 93×3=9
- 9×3=279 × 3 = 279×3=27
- 27×3=8127 × 3 = 8127×3=81
- 81×3=24381 × 3 = 24381×3=243
4. Blood Relations
Pointing to a photograph, Rohan said, “She is the only daughter of my father’s only son.” How is the person in the photograph related to Rohan?
A) Sister
B) Niece
C) Mother
D) Daughter
Answer: D) Daughter
Explanation:
- “My father’s only son” refers to Rohan himself.
- “The only daughter of Rohan” is his daughter.
5. Coding-Decoding
If in a certain language, BREAK is coded as 51342, and GATE is coded as 9786, what is the code for BEAT?
A) 5186
B) 5136
C) 5786
D) 5736
Answer: A) 5186
Explanation:
Assigning the same numerical values to the corresponding letters:
B = 5, R = 1, E = 3, A = 4, K = 2
G = 9, A = 7, T = 8, E = 6
For BEAT:
B = 5, E = 1, A = 8, T = 6 → 5186
6. Puzzle (Seating Arrangement)
Five friends—A, B, C, D, and E—are sitting in a row.
- C is sitting to the right of A and left of D.
- B is sitting to the right of D but not at the extreme end.
- E is sitting at one of the ends.
Who is sitting in the middle?
A) A
B) B
C) C
D) D
Answer: D) D
Explanation:
Arranging based on conditions:
- C is between A and D → (A – C – D)
- B is to the right of D, not at the end → (A – C – D – B – E)
So, D is in the middle.
7. Logical Deduction (Syllogism)
Statements:
- All apples are fruits.
- Some fruits are mangoes.
Conclusions:
I. Some apples are mangoes.
II. All mangoes are fruits.
A) Only Conclusion I follows
B) Only Conclusion II follows
C) Both I and II follow
D) Neither I nor II follows
Answer: D) Neither I nor II follows
Explanation:
- Conclusion I is incorrect because the statements do not establish any direct relationship between apples and mangoes.
- Conclusion II is also incorrect because the second statement says “some” fruits are mangoes, not “all”.
Mu Sigma Verbal Ability
The Verbal Ability section is often the easiest but can be tricky. It includes:
| Topic | Importance |
|---|---|
| Synonyms & Antonyms | Medium |
| Sentence Correction | High |
| Reading Comprehension | High |
| Fill in the Blanks | Medium |
Sample Questions
1. Sentence Correction
Identify the grammatically correct sentence.
A. Neither of the students have completed their assignment.
B. Neither of the students has completed his assignment.
C. Neither of the students has completed their assignment.
D. Neither of the students have completed his assignment.
Answer: B. Neither of the students has completed his assignment.
Explanation: “Neither” is singular, so it takes “has” instead of “have.” Also, “his” is preferred over “their” because “neither” refers to a singular entity.
2. Synonyms
Choose the word that is closest in meaning to “Ephemeral”.
A. Permanent
B. Short-lived
C. Strong
D. Lasting
Answer: B. Short-lived
Explanation: “Ephemeral” means something that lasts for a very short time.
3. Antonyms
Choose the word that is opposite in meaning to “Candid”.
A. Honest
B. Frank
C. Secretive
D. Open
Answer: C. Secretive
Explanation: “Candid” means open and honest, so the opposite is “secretive.”
4. Reading Comprehension
Read the passage and answer the question:
“A market is a place where buyers and sellers come together for transactions. In a competitive market, prices are determined by supply and demand. When demand exceeds supply, prices rise; when supply exceeds demand, prices fall.”
Question: What happens when supply is higher than demand?
A. Prices increase
B. Prices decrease
C. Prices remain the same
D. Supply has no effect on prices
Answer: B. Prices decrease
Explanation: When supply is higher than demand, sellers lower prices to attract buyers.
5. Fill in the Blanks
Choose the correct word to complete the sentence:
“The scientist presented a ___ explanation for the phenomenon, leaving no room for doubt.”
A. Vague
B. Ambiguous
C. Lucid
D. Confusing
Answer: C. Lucid
Explanation: “Lucid” means clear and easy to understand, which fits the sentence.
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Final Tips for Cracking Mu Sigma Test
- Time Management: Allocate time wisely for each section.
- Conceptual Clarity: Ensure strong fundamentals in math and reasoning.
- Mock Tests: Regularly practice with sample placement papers.
- Verbal Preparation: Improve vocabulary and grammar for better accuracy.
Conclusion
Preparing for Mu Sigma placements requires a strategic approach, focusing on key areas like Quantitative Aptitude, Logical Reasoning, and Verbal Ability. Since the Mu Sigma Aptitude Test (MuApt) follows a structured pattern with frequently repeated concepts, practicing previous years’ placement papers significantly improves your chances of success.
