Aptitude and Reasoning Questions

1. ANSWERS  : D  

Explanation-   Required difference = (128000 - 107000) = 21000.

2. ANSWERS  : C  

Explanation-  From the line-graph it is clear that the productions of Company X in the   years 1997, 1998, 1999, 2000, 2001 and 2002 are 119000, 99000, 141000, 78000, 120000 and 159000 and those of Company Y are 139000, 120000,100000, 128000, 107000 and 148000 respectively. 

Total production of Company X from 1997 to 2002 

= 119000 + 99000 + 141000 + 78000 + 120000 + 159000 

= 716000. 

and total production of Company Y from 1997 to 2002 

= 139000 + 120000 + 100000 + 128000 + 107000 + 148000 

= 742000. 

Difference = (742000 - 716000) = 26000.

3. ANSWERS  : A 

Explanation-  Average number of vehicles manufactured by Company X  

= 16×119000+99000+141000+78000+120000+159000 

 = 119333.

4. ANSWERS  : D  

Explanation-   The difference between the productions of Companies X and Y in various years are: 

 For 1997 (139000 - 119000)  = 20000. 

 For 1998 (120000 - 99000)  = 21000. 

 For 1999 (141000 - 100000)  = 41000. 

 For 2000 (128000 - 78000) = 50000. 

 For 2001 (120000 - 107000) = 13000. 

 For 2002 (159000 - 148000) = 11000. 

 Clearly, maximum difference was in 2000.

5. ANSWERS  :  B

Explanation  - Required percentage= 12800078000×100 % = 164%

First is prepared from the second. Here Wine is prepared from grapes andsimilarly, vodka is prepared from flour.

Hence, Wine : Grapes :: Vodka : Flour.

You can find the integers which when divided by 5 have a remainder 2 by adding 2 to all multiples of 5. So we have n = 7 , 12, 17, 22 etc.

From this series we can see that n does not have to be odd.

Also n + 1 can be a prime because, for example, 12 + 1 = 13

And (n + 2) / 7 has a remainder 2 in some cases but not all.

Remember the question asks us for what MUST be true, and we see that none of the statements are true in all cases. However, adding 3 to any of the values of n will always give a multiple of 5.

Let us calculate both the length and width of the room in centimeters.

Length = 6 meters and 24 centimeters = 624 cm

width = 4 meters and 32 centimeters = 432 cm

As we want the least number of square tiles required, it means the length of each square tile should be as large as possible.Further,the length of each square tile should be a factor of both the length and width of the room.

Hence, the length of each square tile will be equal to the HCF of the length and width of the room = HCF of 624 and 432 = 48

Thus, the number of square tiles required = (624 x 432 ) / (48 x 48) = 13 x 9 = 117

Since  Area of Rectangle = side1 x side2
Therefore, error% in area
= x + y + xy100 %
= [20 - 10 + ( -10 x 20)/100]% or 8%
i.e. 8% excess.

let inner radius be r meters. 

$$\begin{gathered} 2πr=440⇒r=440×744=70m \\ radius of outer circle =70+14m \end{gathered}$$  

Therefore, Radius of outer circle = 70 + 14 = 84m

x – y = 5

4x – 6y = 6

x = 12 y = 7

Days remaining 124 – 64 = 60 days

Remaining work = 1 - 2/3 = 1/3

Let men required men for working remaining days be 'm'

So men required = (120 x 64)/2 = (m x 60)/1 => m = 64

Men discharge = 120 – 64 = 56 men.