Mu Sigma Sample Aptitude Questions and Answers

Q1 A container holds 4 blue, 6 black, and 2 white marbles. If 3 marbles are drawn at random, what is the probability that all are black?

Q2 Second term in an AP is 8 and the 8th term is 2 more than thrice the second term. Find the sum up to 8 terms of this AP.

Q3 The average weight of a mother and her daughter is 60 kg. The ratio of their weights is 5:3 respectively. What is the mother's weight?

Q4 The ratio of the capacity to do work of A and B is 3 : 2. If they together can complete a work in 18 days, then how long does A take to complete the work alone?

Q5 What is 20% of 50% of 1/4 of 1600?

Q6 A Postman buys a cycle for Rs. 1400 and sells it at a loss of 15%. What is the selling price of the cycle?

Q7 A retailer mixes 50 kg of nuts at Rs. 300 per kg with 70 kg of nuts at Rs. 500 per kg and sells the mixture at Rs. 450 per kg. His profit percent is:

Q8 Two cars starting at the same time from 2 garages 200 km apart and going in opposite directions cross each other at a distance of 110 km from one of the garages. What is the ratio of their speeds?

Q9 Ulaganathan can paddle 6 km/hr in still water and finds that it takes her three times as long to paddle upstream as to paddle downstream. What is the rate of the river's current?

Q10 A criminal steals a car and drives it at 15 km/hr. The theft was discovered after one hour and the owner of the car set off in another car at 25 km/hr. When will the owner overtake the criminal from the starting point?

Q11 Find out the alternative figure which contains figure (X) as its part.

Q12 Find out the alternative figure which contains figure (X) as its part.

Q13 Find whether the given content is alike or different:
Ph #844-46484844 : Ph #844-46484844

Q14 Pointing towards a girl, Kumar says, "This girl is the daughter of the only child of my father." What is the relation of Kumar's wife to that girl?

Q15 Find the statement that must be true according to the given information.
On weekends, Mr. Ashwin spends many hours working in his vegetable and flower gardens.

Q16 Find the statement that must be true according to the given information.
Arun lives in a large city on the East Coast. Her younger cousin Ravi lives in the Midwest in a small town.

Q17 Find the statement that must be true according to the given information.

When they heard news of the hurricane, Rohini and Tara decided to change their vacation plans. Instead of traveling to the island beach resort, they booked a room at a fancy new spa in the mountains. Their plans were a bit more expensive, but they'd heard wonderful things about the spa and they were relieved to find availability on such short notice.

Q18 Find the statement that must be true according to the given information.
Melvin's commute never bothered him because of the train's comfort, which changed with a new schedule.

Q19 In each question below is given a statement followed by two conclusions numbered I and II. You have to assume everything in the statement to be true, then consider the two conclusions together and decide which of them logically follows beyond a reasonable doubt from the information given in the statement.

Statements:
All the organised persons find time for rest.
Selena, in spite of her very busy schedule, finds time for rest.

Conclusions:

I.Selena is an organised person.

II.Selena is an industrious person.

Q20 In each question below is given a statement followed by two conclusions numbered I and II. You have to assume everything in the statement to be true, then consider the two conclusions together and decide which of them logically follows beyond a reasonable doubt from the information given in the statement.

Statements:
Players who break various records in a fair way get special gifts.
Player Ian broke the world record but was found to be under the influence of a prohibited drug.
Conclusions:

Ian will get the special gift.

Ian will not get the special gift.

Q21 Read the passage given below and solve the questions based on the passage

How quickly tides turn in the social media industry! Just a decade ago, Apex was the dominant and admired leader of social networks, commanding respect and fear from all corners. Back then, small entities named ConnectTech and ByteWare were just starting as minor ventures tasked with creating algorithms and data management tools for Apex’s revolutionary platforms. Although their technologies soon became crucial to the industry, these companies stayed under the radar, overshadowed by their giant partner.

Fast forward to today, and Apex is grappling with the deepest crisis in its 50-year existence. It has gone through four major overhauls in the last five years, along with constant layoffs that have seen over 50,000 positions cut since 1990. Recently, Apex shocked its investors by announcing a loss of $3.25 billion this past year — one of the largest financial downturns seen in the sector.

Meanwhile, as Apex stumbled from one market loss to another, ConnectTech and ByteWare have risen as the most robust competitors in the social media sphere. The figures from Wall Street are revealing. A decade ago, the combined market value of ConnectTech and ByteWare was merely one-eighth that of Apex. Now, with Apex’s shares hitting a decade low, ByteWare’s value ($15.8 billion) has just surpassed its former mentor’s value ($15.5 billion) for the first time, and ConnectTech ($14.9 billion) is quickly catching up. While Apex faces financial losses, ConnectTech’s profits surged by 25%, and ByteWare’s by 35%.

How many times has Apex undergone major overhauls in the last five years?

Q22 Change the given sentence into direct/indirect speech.

He exclaimed with relief that they had finally arrived.

Q23 Find the Antonym of the following word:
COURAGEOUS

Q24 Find the Synonym of the following word:
PLETHORA

Q25 Fill the blank with the suitable option given below:
Our project's progress relies ...... effective communication.

Q26 In questions given below, a part of the sentence is underlined. Below are given alternatives to the underlined part which may improve the sentence. Choose the correct alternative.

He is too excited for staying calm during the performance.

Q27 In questions given below, a part of the sentence is underlined. Below are given alternatives to the underlined part which may improve the sentence. Choose the correct alternative.

His reaction was rather milder than we had feared.

Q28 Fill the blank with the suitable option given below:
Finishing the project early gives us the ...... to review and refine the details.