CAT Questions

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Cost of each cake P1 & P2 = Rs. 12

Offer decrease in % = 20%

Increase in sale per day (Q2) = 250 - 18%

Total quantity per day (Q1) = 250

Hence, required change total revenue

TR = P2Q2 - P1Q1 = (12 x 0.8 x 250 x 1.18) -  (12 x 250) = - Rs.168.

Let the leak will empty the tank in x hrs 

Then, 1/9 - 1/x = 1/13

x = 29.25 hrs

Here the P is the wife of Q who is brother of T who is daughter of U.

That implies P is wife of U's son Q => U is father-in-law of P.

The path traced by planet is called Orbit. Similarly, the path traced by projectile is called Trajectory.

Hence, Planet : Orbit : : Projectile : Trajectory.

6,400 gents, 2400 ladies in that company.
So total 8,800employees.
for 8,800 employees, we want 2400 ladies.
for 12,100employees we want how many ladies ?
=> (12,100/8,800) x 2400 = 3300.
So we want 3300 - 2400 = 900 more ladies.

circumference of a circle = 2πr

=> 2 × 22/7 × r – r = 37

=> 37/7 × r = 37

=> r = 7 cm.

Diameter D = 2r = 7×2 = 14 cm.

Survey of India publishes maps and the unrestricted category maps can be obtained at very affordable prices from its several Geospatial data centers. Restricted category maps require due approval from government authorities. Many other rules govern the sale and use of Survey of India maps. Only an Indian citizen may purchase topographic maps and these may not be exported from India for any reason.

The Survey of India is India's central engineering agency in charge of mapping and surveying, set up in 1767. Its members are from Survey of India Service cadre of Civil Services of India. It is headed by the Surveyor General of India.

Let CP = 100,
42 % increase => SP = 142
10 % discount in SP => ((142 x 10)/100) = 14.2
So 1st SP = (142 - 14.2) = 127.8, again 12 % discount in 1st SP ((127.8 x 11)/100) = 14.058
2nd SP = (127.8 - 14.058) = 113.742,
So finally CP = 100, SP = 113.742, => gain = 13.742%.