GATE Questions

Q:

If x = 2 + 223 + 213 then find the value of x3-6x2+6x ?

A) 1 B) 2
C) 3 D) 4
 
Answer & Explanation Answer: B) 2

Explanation:

Given that x = 2+ 223 + 213

 

So x - 2 = 223 + 213

 

Now cubing on both sides, we get

 

 

=> x3-8-6x2+12x = 4 + 2 + 6(x-2)

 

Therefore, x3-6x2+6x = -6 + 8 = 2

 

 

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Filed Under: Square Roots and Cube Roots
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Q:

5 + 2 x 10/2 = ?

A) 15 B) 35
C) 10 D) 20
 
Answer & Explanation Answer: A) 15

Explanation:

Using BODMAS Rule,

First solve division, mutiplication and Addition

So here 10/2 = 5

Then 2 x 5 =  10

Now, 5 + 10 = 15.

 

Hence, 5 + 2 x 10/2 = 15.

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Filed Under: Simplification
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Q:

Current search engines function by recognizing keywords.

A) TRUE B) FALSE
Answer & Explanation Answer: A) TRUE

Explanation:

A search engines are a software systems used for searching about any information in the world on the web.


                         current_search_engines_function_by_recognizing_keywords1536129682.png image


Search engines like Google, Bing, Internet explorer, Yahoo, etc... functions by providing relevant search results for the keywords user searches. 


 


Hence, the given statement is TRUE.

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Q:

Which of the following describes the process of glycolysis?

A) It represents the first stage in the chemical oxidation of glucose by a cell. B) Breakdown of Glucose
C) Converts Glucose to Pyruvate D) All the above
 
Answer & Explanation Answer: D) All the above

Explanation:

Glycolysis is the chemical process that converts glucose C₆H₁₂O₆, into Pyruvate, CH₃COCOO− + H⁺.

    • It represents the first stage in the chemical oxidation of glucose by a cell.

 



    • The free energy released in this process is used to form the high-energy molecules ATP and NADH.

 Which_of_the_following_describes_the_process_of_glycolysis1556258113.png image

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Filed Under: Chemistry
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Q:

Which term is a type of detail?

A) chronology B) prose
C) style D) statistic
 
Answer & Explanation Answer: A) chronology

Explanation:

In chronology, the sequence of events from the latest to the oldest events or vice versa is laid. In this case, the details of how a particular event or place or thought developed through time is detailed in a chronology. 

 

Hence, the term chronology is a type of detail.

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Filed Under: Alphabet Test
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Q:

How many right angles does a square have?

A) 2 B) 6
C) 4 D) 8
 
Answer & Explanation Answer: C) 4

Explanation:

A square and a rectangle each have 4 right (90 deg) angles. 

Both square and rctangle have 4 sides and 4 angles, but the only difference is square is a rectangle with all sides equal.

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Filed Under: Arithmetical Reasoning
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Q:

If cost price of an article is 75% of its selling price, then what will be the profit percentage?

A) 23.47 B) 25
C) 33.33 D) 20
 
Answer & Explanation Answer: C) 33.33

Explanation:
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Filed Under: Profit and Loss
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Q:

Materials that allow electricity to flow are called

A) Insulators B) Conductors
C) Electron flows D) Stimulators
 
Answer & Explanation Answer: B) Conductors

Explanation:

Materials that allow electricity to flow are called electrical conductors and that materials which does not allow electricity to flow are called Insulators.

materials_that_allow_electricity_to_flow_are_called1535107310.png image

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Filed Under: Physics
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