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Q:

A tennis ball machine serves a ball vertically into the air from a height of 2 feet, with an initial speed of 110 feet per second. After how many seconds does the ball attain its maximum height?

A) 2.87 sec B) 3.44 sec
C) 4.65 sec D) 5.41 sec
 
Answer & Explanation Answer: B) 3.44 sec

Explanation:

It is launched vertically with an initial speed of 110 ft/sec.

It will reach maximum height when the speed drops to 0.

Vo=110 feet per second 

ho=2 feet 

So, h(t) = -16t^2 +110t +2 

Take the derivative: h'(t) = 110 -32t 

The maximum height will be at the inflection when the derivative crosses the x-axis, then h'(t)=0. 

So, set h'(t)=0 and solve for t: 

0 = 110 -32t 

-110 = -32t 

t=3.4375 

t=3.44 seconds.

 

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Filed Under: Physics
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Q:

Which is a pair of allotropes?

A) carbon-16 and carbon-12 B) diamond and graphite
C) carbon dioxide and graphite D) diamond and carbon dioxide
 
Answer & Explanation Answer: B) diamond and graphite

Explanation:

Allotropes are the different physical forms of an element. Here in the given options, diamond and graphite are the pair of allotropes of carbon.

 

Some more examples are Molecular oxygen and ozone are pair of allotropes, Black and red phosphorous are also pairs of allotropes.

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Filed Under: Chemistry
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Q:

Which must be true for metamorphism to occur?

A) The grain size must become smaller B) The process must take place underwater
C) The parent rock must be in solid form D) The parent rock must be igneous
 
Answer & Explanation Answer: C) The parent rock must be in solid form

Explanation:

Metamorphism is the method of changing the structure of a rock by using heat and temperature.

Hence, for this to happen the parent rock must be in solid form only. Therefore, option C) is true.

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Filed Under: Physics
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Q:

Which is required for karst topography to form?

A) Limestone B) Sinkholes
C) Both A & B D) Rain
 
Answer & Explanation Answer: C) Both A & B

Explanation:

Karst topography is a landscape formed from the dissolution of soluble rocks such as limestone, dolomite, and gypsum.

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Filed Under: Indian Geography
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Q:

Which of the following is an example of parasitism?

A) Leeches consume blood of their host B) Ticks that live on dogs
C) Aphid insects eat the sap of the host plant D) All of the above
 
Answer & Explanation Answer: D) All of the above

Explanation:

The relationship between two organisms such that one lives on the other and one gets benefited while the other get infected.

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Filed Under: Biology
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Q:

Which of the following statements about taxes is false?

A) Some states don’t collect income tax B) Taxes at the local, state and federal level are all equal
C) Taxes are collected at the local, state and federal level D) Some states don’t collect sales tax
 
Answer & Explanation Answer: A) Some states don’t collect income tax

Explanation:
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Filed Under: Indian Economy
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Q:

World Wrestling Championship has recently begun at

A) Hungary B) Poland
C) Belgium D) None of the above
 
Answer & Explanation Answer: A) Hungary

Explanation:

Hungarian capital city Budapest is where the World Wrestling Championship has begun in which Bajrang Punia resembles India.

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Filed Under: General Awareness
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Q:

Shahi Litchi of which recently got a GI tag?

A) Telangana B) Bihar
C) Odisha D) Maharastra
 
Answer & Explanation Answer: B) Bihar

Explanation:

Shahi Litchi of Bihar recently got a GI tag and got official recognition for Muzaffarpur in Bihar.

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Filed Under: Indian Geography
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