CAT Questions

---

W1:A1 W2:A2 ..... WN:AN

  2 : 3                   4 : 5                    5 : 7 

W1W1+A1 = 25 W2W2+A2=49 WNWN+AN = 512

= 72/180

= 80/180

= 75/180  

 =>     5   :   3

Therefore, the ratio is  5: 3

$$\begin{gathered} 13 x ? + 47 x 114 x 539 = 31100 x 2000 \\ ? = 378 x 3 \\ ? = 1134 \end{gathered}$$

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

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.

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.

The basic operations performed by a computer are Arithmetic operation, Logical operation and Storage and relative.

The given number series 2676, 445, ?, 21,6, 2, 1 follows a pattern that,

From right side,

1

1 x 1 + 1 = 2

2 x 2 + 2 = 6

6 x 3 + 3 = 21

21 x 4 + 4 = 88

88 x 5 + 5 = 445

445 x 6 + 6 = 2676

Hence the missing number in the given number series is 88.

Ratio of times taken by A and B = 100 : 130 = 10 : 13.
Suppose B takes x days to do the work.

Then, 10 : 13 :: 23 : x     =>     x = ( 23 x 13/10 )     =>     x = 299 /10.

A's 1 day's work = 1/23 ;
B's 1 day's work = 10/299 .

(A + B)'s 1 day's work = ( 1/23 + 10/299 ) = 23/299 = 113 .

Therefore, A and B together can complete the work in 13 days.