CAT Questions

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8 S on SS means 8 Sides on a Stop Sign.

This is one type of Letter Equations which are well known phrases or facts where the key words have been replaced with the first letter of that word. These are often in the form of an equation, which contain a number, an = sign and the rest of the obscured phrase or fact.

Some more of them are ::

90 D in a RA

26 L of the A 

12 S of the Z.

The letters of the word are reversed in order, taking two at a time, to obtain the code.

Total Items = 7
Discounted = 1
Percentage = 1/7 x 100
= 14.285%

We know that Time is inversely proportional to Efficiency

Here given time ratio of P & P+Q as

P/P+Q = 150/100 = 3:2

Efficiency ratio of P & Q as

P:Q = 2:1 ....(1)

Given Efficiency ratio of Q & R as

Q:R = 3:1 ....(2)

From (1) & (2), we get

P:Q:R = 6:3:1

P alone can finish the work in

22.5(3+1)/6 = 15 days.

Let number of 2 wheelers be 'x'
and 4 wheelers be 'y'

Given total number of vehicles = 200
i.e, x + y = 200 ....(1)

Given total number of wheels = 580
i.e, 2x + 4y = 580 ...(2)

By solving (1)&(2), we get

y = 90
=> x = 110

Therefore, number of two wheelers = 110
number of four wheelers = 90

Formatting a cell in currency you can specify Currency symbol.

Ratio of shares of A,B,C = (24 x 4) : (10 x 6) : (56 x 5)

                                    = 96 : 60 : 280.

Let total rent be Rs. x. Then, A's share = Rs.96x436

 ∴96x436=960 ⇔x=960×43696=4360

Hence total rent of the field is Rs. 4360.

Relative speed = (72 - 36) x 5/18 = 2 x 5 = 10 mps.
Distance covered in 32 sec = 32 x 10 = 320 m.

The length of the faster train = 320 m.