CAT Questions

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Let the amount of juice and water in original mixture '4x' litre and '3x' litre respectively.

According to given data,

4x/3x+6 =8/7

28x=24x+48

28x–24x=48

4x = 48

x = 12

Amount of juice = 4x = 4×12 = 48 litre.

The Multiples of 6 are 6, 12, 18, 24, 30, 36, 42, 48, 54, 60.

The Multiples of 4 are 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52, 56, 60.

The Common Multiples of 4 & 6 upto 60 numbers are given as 12, 24, 36, 48, 60.

Given C.I = 5984, R = 20% , T = 2yrs

 C.I = P1+201002-1

5984 = 

=> P = (5995x25)/11

P = Rs. 13625

Now S.I = PTR/100

SI = (13625 x 8 x 6)/100 = Rs. 6540

The second, seventh, ninth and eleventh letters of the word ORGANISATION are R, S, T and O respectively. Clearly, only one word can be formed using these letters,
which is SORT. The third letter in SORT is R.

Tea crop is known as Green Gold.

Let investment in each case be Rs. (143 x 117).

Income in 1st case = Rs.11143 x 143 x 117 = Rs. 1287.
Income in 2nd case = Rs.394×117 x 143 x 117= Rs. 1394.25

Clearly, 9 3/4% stock at 117 is better.

The given figure can be labelled as shown :

The spaces P, Q and R have to be shaded by three different colours definitely (since each of these three spaces lies adjacent to the other two).
Now, in order that no two adjacent spaces be shaded by the same colour, the spaces T, U and S must be shaded with the colours of the spaces P, Q and R respectively.
Also the spaces X, V and W must be shaded with the colours of the spaces S, T and U respectively i.e. with the colours of the spaces R, P and Q respectively. Thus, minimum three colour pencils are required.

The letters move two places backward each in the alphabet as given below:

 M→-2K

 P→-2N

Therefore,  D→-2B and G→-2E => BE