CAT Questions

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Lets say shyam sells at 100,

Since Ram sells 25% cheaper than Shyam,

Therefor Ram sells at less than 25% of100 or 75 rs.

Ram sells 25% dearer than Bram or 125% of Ram =100% of Bram or

125% of x (say x price of bram )=75rs.
or 100% of x =60rs.
hence price of bram is 60rs.

now Bram's good is cheaper than Shyam's as (100-60)x100/100% or 40%.

Hence Brams Good is 40% cheaper than that of Shyam's good.

Here the series of the form is x2 - 1, x2 - 2, x2 - 3,...

 53 x 2 - 4 = 106 - 4 = 102

Given number of boxes = 14

Number of workers = 4

Now, number of whole boxes per worker = 14/4 = 3.5 

Hence, number of whole boxes per each coworker = 3

1. Answer : 2

Explanation : Productivity = Total production/area of Agr.land 

Productivity of UP = [ (35000+30000+25000) / (30/100) ] = 300000  

Productivity of MP = [ (30000+37500+27500) / (25/100) ] = 380000  

Productivity of Bihar = [ (22500+27500+25000) / (20/100) ] = 375000 

Productivity of Odisha = [ (22500+15000+10000) / (5/100) ]= 950000  

Productivity of Haryana = [ (30000+25000+35000) / (8/100) ] = 1125000  

Productivity of Punjab = [ (40000+35000+30000) / (12/100) ] = 875000 

The Productivity of Haryana is the maximum.  

2. Answer : 5  

Explanation : Production of Punjab is maximum = 105000 tonnes 

3. Answer : 3 

Explanation : Production of Wheat in Punjab = 40000 tones

Production of Maize in Odisha = 10000 tones

Required % = (40000 - 10000)/100 = 300% 

4. Answer : 4 

Explanation : The ratio of prodution of Rice in Bihar to the production of Wheat in Haryana = 25000 tonnes : 25000 tonnes = 1 : 1  

5. Answer : 1  

Explanation : Income of MP from export of 40% of Rice at the rate of Rs.30 per kg = Rs.39crore

Income of UP from export of 30% of Rice at the rate of Rs.32 per kg = Rs.28.8 crore 

Required ratio = 39 : 28.8 = 390 : 288 = 65 : 48

From the given information, the sitting arrangement can be

 P-Q-W-S-U-V-T-R  i.e. in circular as

From the above figure it is clear that opposite to U is P.

M x T / W = Constant
where, M= Men (no. of men)
T= Time taken
W= Work load
So, here we apply
M1 x T1/ W1 = M2 x T2 / W2
Given that, M1 = 4 men, T1 = 7 hours ; T2 = 2 hours, we have to find M2 =?
Note that here, W1 = W2 = 1 road, ie. equal work load.
Clearly, substituting in the above equation we get, M2 = 14 men.

To rotate is to energy to stop is to inertia. From the definition itself we know that inertia is a property by virtue of which a body continues to be in the state of rest or in state of motion. So over here whenever energy is supplied then the body starts to move that is a displacement is there and it is rotating where as whenever the body is stopped an inertia of rest is created.

So, Rotate : Energy :: Stop : Inertia.