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Arithmetic 

Mango Juice maker prepares delicious Mango shakes. At times, he adjusts the ratios of Mango, Milk, and Water in the shake as per customer’s need but the deliciousness of final preparation is never lost. One day he prepared the mango shake two times with two different compositions of ingredients, call A & B. Now when customers came, he prepared three different mixtures by mixing the already prepared shakes (A & B) in different proportions. The percentage compositions of Mango and Milk, in the newly prepared three mixtures, are given as (16%, 12%), (20%, 11%), and (28%, x%). Find x.

1. 7
2. 8
3. 9
4. 10
5. None of these

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[latexpage]

Algebra

 

Given the sets of consecutive integers {1}, {2,3}, [4,5,6}, {7, 8, 9, 10} where each set contains one more element than the preceding one, and where the first element of each set is one more than the last element of the preceding set. Let Sn be the sum of the elements in the nth set. Find S15.

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[latexpage]

Arithmetic 

All the students in the number system class took a 100 point test. Five students scored 100, each student scored atleast 60 and the mean score was 76. What is the smallest possible number of students in the class?

A. 9
B. 10
C. 11
D. 13

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[latexpage]

Geometry

 

Two of the sides of a triangle are in the ratio 3:4. The medians to these sides are perpendicular to each other. If the third side of the triangle is 12√5, find the smaller of the first two sides of the triangle.

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FILL IN THE BLANKS

The following question has a sentence with two blanks. Given below it are four pairs of words. Choose the pair that best completes the sentence.

Ironically, the normally ________ speaker became diffident and ______ when confronted with the approbatory stares of her eager spectators.

  1. quiet, fervent
  2. garrulous, reticent
  3. dispassionate, tacit
  4. humble, supercilious

See our previous ‘Questions of the Day’:  

Verbal Question of the Day: 52

Verbal Question of the Day: 51

PARAJUMBLE

The five sentences (labelled 1,2,3,4, and 5) given in this question, when properly sequenced, form a coherent paragraph. Decide on the proper order for the sentences and key in this sequence of five numbers as your answer.

  1. The Chinese effectively demanded that the global corporation shift its entire Asian business out of their Indian operation and move it to China.
  2. After they had covered the listed agenda, they found their local CEO cribbing about their Indian operation and how his Indian counterpart was dropping the ball, missing business opportunities and suchlike.
  3. Two of the Chinese executives involved were ranking members of the Communist Party of China, and the Westerners noticed their Chinese colleagues’ proposal end with a distinct “or else…”.
  4. A couple of years ago, top executives of a mid-sized Western multinational found themselves in Beijing attending a strategy meeting of their Chinese subsidiary.
  5. The visiting executives thought this was the usual office politics until they found that two others joined in.

 

Please Note: The answer to this question will be posted tomorrow morning as a comment below.

See our previous ‘Questions of the Day’: 

Verbal Question of the Day: 51

Verbal Question of the Day: 50

Critical Reasoning (CR)

Q. The Department of Telecom has said that it is considering a policy to block mobile applications such as WhatsApp and Facebook during emergencies, especially when national security and public order are under threat. The trigger behind this move is the growing incidents of lynchings invariably based on fake news that goes viral on social media channels. Government departments training their policy guns on technologies and companies that provide them in the marketplace are ill advised on several counts. Such a ban would violate the fundamental right of free speech. It would mean withholding services for most genuine consumers so that a tiny majority of trouble-makers are restricted. Bringing in such a policy also ignores the efforts of the industry to self-regulate itself.

Which one of the following most accurately expresses the gist of the given argument?

  1. ‘Managing the symptoms and ignoring the cause’ is an apt description of the policy to block certain mobile apps during emergencies.
  2. The Department of Telecom’s move to block some mobile applications during emergencies would be a misguided one.
  3. The Department of Telecom’s policies are a threat to citizens’ constitutionally guaranteed rights.
  4. While it has certain drawbacks, the Department of Telecom’s move to block some mobile apps during emergencies is necessary to curb lynchings.

Please Note: The answer to this question will be posted tomorrow morning as a comment below.

See our previous ‘Questions of the Day’:  

Verbal Question of the Day: 50

Verbal Question of the Day: 49