CAT Questions

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From above diagram
AC represents the hill and DE represents the tower

Given that AC = 100 m

angleXAD = angleADB = 30° (∵ AX || BD )
angleXAE = angleAEC = 60° (∵ AX || CE)

Let DE = h

Then, BC = DE = h, AB = (100-h) (∵ AC=100 and BC = h), BD = CE

tan 60°=AC/CE => √3 = 100/CE =>CE = 100/√3 ----- (1)

tan 30° = AB/BD => 1/√3 = 100−h/BD => BD = 100−h(√3)
∵ BD = CE and Substitute the value of CE from equation 1
100/√3 = 100−h(√3) => h = 66.66 mts

The height of the tower = 66.66 mts.

From the given data,

Ratio of capital = 12000 : 14400 = 5 : 6

Required Difference = 

$$\begin{gathered} 6 - 56 + 5 88100 x 7500 + 12100 x 7500 \\ = 111 x 88 x 75 + 12 x 75 \\ = 600 + 900 \\ = 1500 \end{gathered}$$

The total angle traced by the hour hand is the angle traced in 7 hours and 10 minutes.
We know that the angle traced by the hour hand in one hour is 30º and in one minute is 1/2º.
Therefore, (30º x 7) + (10 x 1/2º) = 215º is the angle traced by the hour hand.

Amount = 80001+51002

= 8000 x 21/20 x 21/20 

= Rs. 8820

Since Eric's father and Ivanka's mother are Brother and sister, 

=> Ivanka is Eric's Aunt Daughter => Cousin Sister. 

The largest desert in Asia is called the Gobi Desert. It covers an area of 500,000 square miles stretching from southern Mongolia to northern China.

-5-----------------------5-------------------20

5-(-5) = 10

20-5= 15

Ratio of cost price of book1 and book2 = 3:2 

Then cost price of book 1 is given by

(3/5) x 100 = Rs. 60.

Given that,

1st train speed = 62 km/hr 

2nd train speed  = 44 km/hr

Hence the relative speed of two trains is : 62-44 = 18 km/hr = 18×518 m/s = 5 m/s.

There fore, the first train crosses the second train i.e (85+75)mts of distance with a speed of 5m/s in, 

time = distancespeed = 85+755 = 32 sec.