Q:

Find the sum of the Arithmetic Series upto 36 terms

2, 5, 8, 11,...

A) 3924 B) 1962
C) 1684 D) 1452
 
Answer & Explanation Answer: B) 1962

Explanation:

Arithmetic Series ::

 

An Arithmetic Series is a series of numbers in which each term increases by a constant amount.

 

How to find the sum of the Arithmetic Sequence or Series for the given Series ::

 

When the series contains a large amount of numbers, its impractical to add manually. You can quickly find the sum of any arithmetic sequence by multiplying the average of the first and last term by the number of terms in the sequence.

 

That is given by Sn = n(a1 + an)2 Where n = number of terms, a1 = first term, an = last term

 

Here Last term is given by an = a1 + n-1d where d = common difference

 

Now given Arithmetic Series is 

 

2, 5, 8, 11,...

 

Here a1 = 2,  d = 3, n = 36 

 

Now, an= a1 + n - 1d a36= 2 + 36 - 13 = 105 + 2 = 107 

 

Now, Sum to 36 terms is given by

 

S36 = 36(2 + 107)2 = 36 x 1092 = 39242 = 1962

 

 

 

Therefore, Sum to 36 terms of the series 2, 5, 8, 11,... is 1962.

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8 20913
Q:

Which sentence is Punctuated correctly?

A) The conference was only supposed to be an hour; however, it ran for nearly two and half hours. B) The conference was only supposed to be an hour, however; it ran for nearly two and half hours.
C) The conference was only supposed to be an hour. however, it ran for nearly two and half hours. D) The conference was only supposed to be an hour; however it ran for nearly two and half hours.
 
Answer & Explanation Answer: A) The conference was only supposed to be an hour; however, it ran for nearly two and half hours.

Explanation:

The correct punctuated sentence is A

The conference was only supposed to be an hour; however, it ran for nearly two and half hours.

 

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8 2015
Q:

Which is called 'OFF State' in binary?

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

Explanation:

'0' is called OFF State in Binary...

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8 2845
Q:

Select the correct statement about the Heart Valves.

A) Aortic and pulmonary valves control the flow of blood into the heart. B) The AV valves are supported by chordae tendineae so that regurgitation of blood into the atria during ventricular contraction does not occur.
C) The tricuspid valve divides the left atrium from the left ventricle. D) The mitral valve separates the right atrium from the right ventricle.
 
Answer & Explanation Answer: B) The AV valves are supported by chordae tendineae so that regurgitation of blood into the atria during ventricular contraction does not occur.

Explanation:

The correct statement from the given options is

The AV valves are supported by chordae tendineae so that regurgitation of blood into the atria during ventricular contraction does not occur.

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8 4097
Q:

Buoyancy depends on

A) the mass of the liquid displaced B) the mass of the body
C) the depth to which the body is immersed D) the shaped of the body
 
Answer & Explanation Answer: A) the mass of the liquid displaced

Explanation:

Buoyancy or Upthrust, is an upward force exerted by a fluid that opposes the weight of an immersed object.

In a column of fluid, pressure increases with depth as a result of the weight of the overlying fluid.

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8 3032
Q:

Arun’s weight is 140% of Akhil’s weight. Nani’s weight is 90% of Shreyon’s weight. Shreyon’s weight is twice as much as Akhil’s. What percentage of Arun’s weight is Nani’s weight?

A) 76% B) 77%
C) 78% D) 79%
 
Answer & Explanation Answer: C) 78%

Explanation:

Let Akhil's weight = p kg

=> Shreyon's weight = 2p kg

Nani's weight = 0.9 x 2p = 1.8p kg

=> Arun's weight = 1.4p kg

Required percentage = 1.4p1.8p x 100

= 77.8%

~= 78%

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8 6125
Q:

Which of the following is not a function of proteins?

A) Build tissues such as bone and muscle B) Help to fight disease
C) Nail formation D) Store and transmit Heredity
 
Answer & Explanation Answer: D) Store and transmit Heredity

Explanation:

Protiens can help fight specific diseases, always there to regulate cell processes and build muscle/tissues.


Structural proteins also known as Fibrous proteins, are necessary components of your body. They include collagen, keratin and elastin. Collagen forms the connective framework of your muscles, bones, tendons, skin and cartilage. Keratin is the main structural component in hair, nails, teeth and skin.

 

  • Nucleic acids store and transmit heredity.
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8 2001
Q:

9 girls working 7 hours a day can complete a piece of work in 15 day. In how many days can 6 girls working for 9 hours a day, complete the same piece of work?

A) 35/4 days B) 17.5 days
C) 19 3/4 days D) 37/3 days
 
Answer & Explanation Answer: B) 17.5 days

Explanation:

Let the number of days be 'p' 

As the work is same, we know that

M1 x D1 x H1 = M2 x D2 x H2

Where M = Men, D = Days, H = Hours per day 

Here M1 = 9, D1 = 15, H1 = 7 

M2 = 6, D2 = p, H2 = 9 

=> 9 x 15 x 7 = 6 x p x 9 

=> p = 35/2 = 17.5 days.

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8 3544