CAT Questions

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let 'b' be the Length of bridge from cow to the near end of the bridge and 'a' be the distance of the train from the bridge.
'x' be speed of cow => '4x' speed of train
Then the total length of the bridge 2b + 10.
(a-2)/4x = b/x
=> a-2 = 4b........(1)
Now if it had run in opposite direction
(a+2b+10-2)/4x = (b+10-2)/x
=> a - 2b = 24......(2)
Solving (1) and (2)
b = 11 ,
Therefore length of the bridge is 2 x 11 + 10 = 32mts.

Work done by the waste pipe in 1 minute =115-120+124=115-11120 = -140 [-ve sign means emptying]

Volume of 140part = 3 gallons

Volume of whole = (3 x 40) gallons = 120 gallons.

We know that I = PTR/100
=> P = 20250/4.5 = 4500
Now, new Interest at 5% = 4500x1x5/100 = 225
Now the additional amount = 225 - 202.5 = Rs. 22.5

Let the filling capacity of the pump be x m3/min. 

Then, emptying capacity of the pump=(x+10)m3/min.  

so,2400x-2400x+10=8 ⇔x2+10x-3000=0 

⇒x-50+x+60=0 ⇔x=50

BRS - Bank Reconciliation Statement

A bank reconciliation statement is a statement prepared by organizations to reconcile the balance of cash at bank in a company's own records with the bank statement on a particular date.

The differences may arise because of the following reasons:

     - Cheques deposited into bank but not yet collected by bank

     - Cheques issued by the organization but not yet presented for payment

     - Cheques directly deposited by customers into the bank

     - Bank charges debited by bank

     - Interest credited or some receipts directly collected by bank based on org. request.

     - Some payments directly made by bank based on the organizations request.

So, the statement shows the reasons as what are the reasons for difference in balance.

Spouse means a person's partner in marriage, it can be male or female.
But given F is spouse of B
And P is Son in law of N
Relation between F and B
Relation between P and A only
and p is male So, A must be female
=> B is male child.

Annie Besant (1847-1933) – political reformer, women's rights activist, theosophist and Indian nationalist is known as the grand old lady of Indian nationalism.

Let the number of sides be n. 

The number of diagonals is given by ⁿC₂ - n  

^{Therefore, n}C₂ - n = 44, n>0 

ⁿC₂ - n = 44

n² - 3n - 88 = 0 

n² -11n + 8n - 88 = 0  

As n>0, n will not be -8. Therefore, n=11.