CAT Questions

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There are 7 digits 1, 2, 0, 2, 4, 2, 4 in which 2 occurs 3 times, 4 occurs 2 times.

 Number of 7 digit numbers = 7!3!×2! = 420

But out of these 420 numbers, there are some numbers which begin with '0' and they are not 7-digit numbers. The number of such numbers beginning with '0'.

=6!3!×2! = 60

Hence the required number of 7 digits numbers = 420 - 60 = 360

Here the given words follow a relation in such a way that, grapes are made into wine. Similarly, squid are made into calamari.

Hence, Grapes : Wine :: Squid : Calamari

In economics, we come across Demand management in macro-levels and at micro-levels within individual organizations.

Demand management is a planning methodology used to forecast, plan for and manage the demand for products and services.  

Activity based, Business activity patterns and user profiles are the types of activity within demand management.

125 over 1000 in Simplest Form means 1251000 in its simple fraction form.

Now, to get the simplest form of 125/1000, find the HCF or GCD of both numerator and denominator i.e, 125 and 1000.

HCF of 125, 1000 = 125

Then, divide both numerator and denominator by 125

i.e, 1251251000125 = 18

Hence, 18 is the simplest form of 125 over 1000.

SP = Rs.800 ; Profit = 25%

 CP = SP x 100100+P% = 800 x 100100+25 = 640

 Now, CP = Rs.640

Loss = 25% = 25% of Rs.640 = Rs.160

Thus, SP = CP - Loss = Rs.640 - Rs.160 = Rs.480

The given number puzzle can be soved in two ways.

Logic 1 ::

Row 1  - 2 x 3 = 6 , 6 x 3 = 18

Row 2  - 4 x 5 = 20 , 20 x 5 = 100

Row 3  - 3 x 7 = 21 , 21 x 7 = 147

Hence, the missing number could be 3.

Logic 2 ::

Row 1 - 6 x (2+1) = 18

Row 2 - 20 x (4+1) = 100

Row 3 - 21 x (6+1) = 147

Hence, the missing number could be 6.

Therefore, 3 or 6 is the right answer.