CAT Questions

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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%.

Let the shopkeeper buy 300g for Rs.300. Now he sells 100g for Rs.110, another 100g for Rs120, and the rest 100g for Rs94. 

Therefore, the total amount he receives = Rs.110 + Rs.120 + Rs.94 = 324. 

Therefore, the shopkeeper spends Rs.300 and gets back Rs.324.

Therefore, his profit percentage = 24300x100 % = 8%

The given number series is 200, 200, 100, 300, 75, ?

It follows a pattern that,

200

200 x 1 = 200

200 / 2 = 100

100 x 3 = 300

300 / 4 = 75

75 x 5 = 375

Hence, the next number in the given number sequence is 375.

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

6th to the left of 17th letter to the right of 7th letter from the left = 6th to the left of (17+7 =) 24th letter from the left = (24-6 =) 18th letter from the left.

Thus, we have to count from the left and we have to find out 18th letter from the left that falls into the second section of English alphabet.

Here, both the first half and the second half of the English alphabet have been reversed and we have to count from the left end, then the required letter can be found out using the formula given below. Suppose , the first and the second reversed sections of the English alphabet are α and  βrespectively.Then,

  The required letter = 2α+β+1-(required position of letter from left side)

Therefore, The required letter = 26 + 13 + 1 - 18 = 22 = V

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.

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.