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Q:

What is the value of 100P2 ?

A) 10000 B) 9900
C) 8900 D) 7900
 
Answer & Explanation Answer: B) 9900

Explanation:

Here in 100P2, P says that permutations and is defined as in how many ways 2 objects can be selected from 100 and can be arranged.

 

That can be done as,

 

100 P2  = 100!/(100 - 2)!

= 100 x 99 x 98!/98!

= 100 x 99 

= 9900.

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Filed Under: Permutations and Combinations
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Q:

A train travels 360 km at a uniform speed. If the speed had been 5 km/h more, it would have taken 1 hour less for the same journey. Find the speed of the train?
     

A) 42 kmph B) 43 kmph
C) 40 kmph D) 45 kmph
 
Answer & Explanation Answer: C) 40 kmph

Explanation:

We know that,  Speed = Distance/time

 

Let the speed of the train be = x kmph

           NORMAL SPEED                           SPEED 5 KMPH MORE

          Distance = 360 Km                         Distance =360
 
          speed    =  X Kmph                        Speed = (x+5)
 
            Time =360/X                              Time =360/(x+15)
          

 

For the same journey if the speed increased 10 kmph more it will take 1 hour less

 


Time with original speed - time with increased speed = 1

 => (360/x) - (360/x+10) =  1                               

 =>  (360(x+5)-360x)/x(x+5) =1

 =>   360X + 1800 -360X  = X(X+5)

  =>   X^2 + 5x - 1800 = 0

  X = 40 or -45

 X cannot be negetive value
                  

 X = 40 kmph.

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Filed Under: Problems on Trains
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Q:

H.C.F of 3240, 3600 and a third number is 36 and their L.C.M is 24 x 35 x 52 x 72 . What is the third number?

A) 47628 B) 49874
C) 24157 D) 42146
 
Answer & Explanation Answer: A) 47628

Explanation:

hcf_of_three_numbers_3240,_3600_and_third_number_is_361542439249.jpg image

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Filed Under: HCF and LCM
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Q:

Mount Damavand is the highest peak in

A) Iraq B) Papua New Guinea
C) Oman D) Iran
 
Answer & Explanation Answer: D) Iran

Explanation:

Mount Damavand is the highest peak in Iran and also a potentially active volcano.

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Filed Under: World Geography
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Q:

Which city is the venue of the Women's World Boxing Championships 2018?

A) Pune B) New Delhi
C) Patna D) Hyderabad
 
Answer & Explanation Answer: B) New Delhi

Explanation:

New Delhi is the venue of the Women's World Boxing Championships 2018 started from Nov 15 to Nov 24.

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Filed Under: General Awareness
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Q:

Which state police has launched e-learning portal 'Nipun' for training its personnel?

A) Delhi B) Uttar Pradesh
C) Telangana D) Maharashtra
 
Answer & Explanation Answer: A) Delhi

Explanation:

Delhi state police has launched e-learning portal 'Nipun' for training all its police officers to give up to date information through specialized courses designed by experts.

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Filed Under: General Awareness
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Q:

Which acid is present in tomato?

A) Sulphuric acid B) HCl
C) Both A & B D) Citric acid
 
Answer & Explanation Answer: D) Citric acid

Explanation:

which_acid_is_present_in_tomato1542371895.jpg image

Citric acid is present in tomatoes.

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Filed Under: Chemistry
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Q:

21 is 35 of what number?

A) 60 B) 85
C) 300 D) 21
 
Answer & Explanation Answer: A) 60

Explanation:

The given sentence 21 is 35 of what number means that 

21 is 35 % of what number

Let that number be P

=> 35P/100 = 21

35P = 2100

P = 2100/35 = 300/5 = 60

 

Hence, 21 is 35 of 60.

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Filed Under: Percentage
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