CAT Questions

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From statement (A),

20b = (1/2) × b × h

h = 40 cm.

• Shivanasamudra is a famous waterfall situated in Mandya District of Karnataka State. 
• Gaganachukki and Barachukki Falls are collectively called as Shivanasamudra Falls.

12 N in a C means 12 Numbers in a Clock. 

From first figure : each fig has the value of 20 => It has inside 4 figures => Each individual figure has the value of '5'

From second => Each Triangle has the value of '1' (bcoz it contains two in each)

From third => Figure star has the value of '4'

Then in fourth => 4 + 1 + 15 = 20

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.

A constitutional monarchy is a form of monarchical government established under a constitutional system which acknowledges an elected or hereditary monarch as head of state.

The monarchs in a constitutional monarchy had only the power that was allocated to them in the constitution of their land or republic.

Unit digit of this expression is always 1 as the base ends with 1. 

For the tenth place digit we need to multiply the digit in the tenth place of the base and unit digit of the power and take its unit digit.

i.e, tenth place digit in 2151 is 5 and

tenth place digit in power 415 is 1

And the units digit in the product of 5 x 1 = 5

Therefore, last two digits of 2151415 is 51.

3 x 3 x 3 = 27 - 3 = 24

4 x 4 x 4 = 64 - 4 = 60

5 x 5 x 5 = 125 - 5 = 120

6 x 6 x 6 = 216 - 6 = 210

7 x 7 x 7 = 343 - 7 = 336