CAT Questions

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Given 2 is to 55

2 + 3 = 5 

5 x 11 = 55

Similarly, 6

6 + 3 = 9

9 x 11 = 99

Hence, 2 is to 55 as 6 is to 99.

Water in 60 gm mixture=60 x 75/100 = 45 gm. and Milk = 15 gm.

After adding 15 gm. of water in mixture, total water = 45 + 15 = 60 gm and weight of a mixture = 60 + 15 = 75 gm.

So % of water = 100 x 60/75 = 80%.

52 C in a P represents 52 Cards in a Pack.

Similar to 

12 S of the Z 

5 C in an OF

The wages of labourers in a factory increases in the ratio 22:25 and there was a reduction in the number of labourers in the ratio 15:11. Find the original wage bill if the present bill is Rs 5000 ?
Ratio of increase of wages = 22:25
Ratio of decrease of labourers = 15:11
Compound ratio of wages of labourers = 22 x 15 : 25 x 11 = 330:275
Final bill = Rs. 5000
For 275 ratio wages = Rs. 5000
For 1 ratio wages = 5000/275
For 330 ratio wages = 5000/275 x 330 = Rs. 6000

Here the series is:

987654321, 87654321, 7654321, 65...

Paramagnetic Molecules ::

If the Electronic configuration of a molecule has any unpaired electrons, then that molecule is said to be Paramagnetic.

Diamagnetic Molecules ::

If the Electronic configuration of a molecule has only paired or spin paired electrons, then that molecule is said to be Diamagnetic.

Here the molecule C2 has all paired electrons in its electronic configuration. So C2 is Diamagnetic.

Whereas, B2 molecule has unpaired electrons. So B2 is Paramegnetic.

Speed of Boy is B = 4.5 kmph

Let the speed of the stream is S = x kmph

Then speed in Down Stream = 4.5 + x

speed in Up Stream = 4.5 - x

As the distance is same,

=> 4.5 + x = (4.5 - x)2

=> 4.5 + x = 9 -2x

3x = 4.5

x = 1.5 kmph

Let the total number of workers be x. Then, 

Number of women = x/3 and number of men = x - x/3  = 2x/3

Number of women having children = x/18

Number of men having children = x/3

Number of workers having children = (x/18) + (x/3) = 7x/18

Therefore, workers having no children = x - 7x/18 = 11/18 of all workers.