Exams

Number of white marbles = 4

Number of Black marbles = 5

Total number of marbles = 9

Number of ways, two marbles picked randomly = 9C2

Now, the required probability of picked marbles are to be of same color = 4C2/9C2  +  5C2/9C2

= 1/6 + 5/18

= 4/9.

The Economic and Social Council (ECOSOC) is one of the six principal organs of the United Nations for coordinating the economic, social and environmental issues, as well as for implementing internationally agreed development goals. Recently, it is in news because India has been re-elected to the United Nations ECOSOC for another 3-year term. India was among 18 nations to win election to the Economic and Social Council (ECOSOC). India obtained 183 votes, the second highest after Japan in the Asia Pacific category. The elected members of ECOSOC for a three-year term beginning 1 January, 2018 are Belarus, Ecuador, El Salvador, France, Germany, Ghana, India, Ireland, Japan, Malawi, Mexico, Morocco, Philippines, Spain, Sudan, Togo, Turkey and Uruguay. The headquarters of the ECOSOC is located in New York, Unites States.

Pushkalavati was capital of ancient Kingdom of Gandhara. Its ruins are currently located in Charsadda, Pakistan, located in Peshawar valley in the Khyber Pakhtunkhwa province (formerly NWFP). Pushkalavati was home of the Sanskrit grammarian Panini.

Let the speed of boat in still water is ‘x’ km/hr & that of stream is ‘y’ km/hr.
Then, ATQ
(x+y)/y = 9/1 9y = x + y
x = 8y
y = 3 km/hr
So, x = 24 km/hr
Upstream speed = 24-3 = 21 km/hr
Hence, distance travelled upstream in 5 hours = 21*5 = 105 km.

There are many possibilities for this.

We can hold a breathe, meeting, conversation, party, grudge, etc... but cannot touch them.

End of first year     :  10000 x (3/5) = Rs. 6000
End of second year :  6000 x (3/5) = Rs. 3600
End of third year    :  3600 x (3/5) = Rs. 2160

Here in the given number puzzle, the given numbers follows a pattern that 

1 + 4 = 5 => 1 x 4 + 1 = 4 + 1 = 5 

2 + 5 = 12 => 2 x 5 + 2 = 10 + 2 = 12   

3 + 6 = 21 => 3 x 6 + 3 = 18 + 3 = 21 

Similarly, 

8 + 11 = 96 => 8 x 11 + 8 = 88 + 8 = 96  

Hence, the missing number in the given number puzzle is 96.

PW = Amount1+R100T