CAT Questions

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Part IV of Constitution of India deals with Directive Principles of state Policy.

Let the two consecutive odd integers be (2x + 1) and (2x + 3)

Then,

(2x + 3)² - (2x + 1)²

= (2x + 3 + 2x + 1) (2x + 3 - 2x - 1)

= (4x + 4)(2)
= 8 (x + 1), which is always divisible by 8

Given the three mixtures ratio as (1:2),(2:3),(3:4)

(1+2),(2+3),(3+4)

Total content = 3,5,7

Given equal quantities of the three mixtures are mixed, then LCM of 3, 5, 7 = 105

105/3 = 35 , 105/5 = 21 , 105/7 = 15

Now, the individual equal quantity ratios are (35x1, 35x2), (21x2, 21x3), (15x3, 15x4)

 i.e (35,70), (42,63), (45,60)

So overall mixture ratio of milk and water is

35+42+45 : 70+63+60

122:193

But in the question asked the ratio of water to milk = 193 : 122

The largest 4 digit number is = 9999
After dividing 9999 with 88, we get 55 as remainder
so largest 4 digit number divisible by 88 = 9999-55 = 9944.

$$\begin{gathered} 3 \\ 32 + 3 = 12 \\ 5 \\ 52 + 5 = 30 \end{gathered}$$

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.

The pattern is 12 22, 32 42, 52 62, 

∴The next number= 72 82= 4964

Impasse means, a situation in which no progress is possible, especially because of disagreement; a deadlock.

So it is Impasse.