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Natwar Thakkar, a Padma Shree awardee was popularly known as Nagaland's Gandhi as he had founded Gandhi Ashram in Nagaland's Chuchuyimlang.

Om Prakash Rawat is the Chief Election Commissioner of India where Ashok Lavasa & Sunil Arora are the Election Commissioners of India. The Election Commission of India had announced Assembly elections for 5 states recently.

Given total number of smileys = 5 + 6 + 3 = 14

Now, required probability = 

$$\begin{gathered} 5C214C2 + 3C214C2 \\ = 1091 + 391 \\ = 1391 \\ = 17 \end{gathered}$$

Initial amount spent on trouser by the man = Rs. 1250

Now, by the reduction of 20% in 1250, he can buy t-shirt too.

=> t-shirt cost = 20% of 1250 = 20 x 1250/100 = 250

Therefore, the price of the t-shirt = Rs. 250.

The owner first lost Rs. 100 in cash, but after the thief bought Rs. 60 goods, he get back that Rs. 100 but he lost Rs. 60 value of goods and Rs. 40 in change.

So, a total of 60 + 40 = Rs. 100 the owner lose.

Given total number of students = 80

Total teachers = 5

Number of coupons each student got = 15 x 80/100 = 12

Number of coupons each teacher got = 25 x 80/100 = 20

Therefore, total number of shopping coupons = 80 x 12 + 5 x 20 = 960 + 100 = 1060.

Here given formula is 

a2 + b2 + c2 -ab- bc - ca = 0

and it is possible if and only if a = b = c.

From the trial and error method, 

1) Let a = b = c = 1

Now substitute these values of a, b, c in the above formula.

We get 1 + 1 + 1 - 1 - 1 - 1 = 3 - 3 = 0

2) Now, let a = b = c = 4

Now substitute these values of a, b, c in the above formula.

We get 16 + 16 + 16 - 16 - 16 - 16 = 48 - 48 = 0.

Hence, it is possible that 

a2 + b2 + c2 -ab- bc - ca = 0 iff a = b = c.

Let the actual distance be t kms

Now, According to the data,

$$\begin{gathered} 5t + 860 = 6t \\ => 560t + 860 = 6t \\ => 60t + 8 = 72t \\ => 8 = 12t \\ => t = 8/12 = 2/3 hrs \end{gathered}$$

Now, the total distance = 6t = 6 x 2/3 = 2 x 2 = 4 kms.