CTS - Analytical Reasoning - 4

CTS – Analytical Reasoning - 4

1.       Three thieves were caught stealing sheep, mule and camel. A says "B had stolen the sheep" C says " B had stolen the mule" B says he had stolen nothing. The one who had stolen sheep is speaking truth. The one who had stolen camel is lying. Tell who had stolen what?
Ans: A- camel B- mule C- sheep

Other than B who denied having stolen anything, A and C are the two persons who make comments. If A was telling the truth then he had stolen sheep and C the camel. If it were to be the other way then A stole camel and C the sheep. In either case the left out animal is mule which B had stolen. Between A and C, C correctly tells that B had stolen the mule. Hence the answer is as given above.

2.       A group of friends goes for dinner and gets bill of Rs 2400. Two of them say that they have forgotten their purse so remaining make an extra contribution of Rs 100 to pay up the bill. Tell the number of person in that group.  

Ans: 8 persons

Let ‘x’ be the number of persons and ‘y’ the average amount each one has to pay.

Thus ‘xy’ = 2400 and ‘y’ -> 2400/x

Since two friends are not contributing ‘x-2’ persons contribute Rs 100 more.

Thus (x-2)(y+100) = 2400.   (y+100) = 2400/(x-2)

Hence ‘y’ = 2400/(x-2) -100

We now have two equations:  y = 2400/x   and  y = 2400/(x-2) - 100

Solving these two we get -> x² – 2x – 48 = 0

(x-8)(x+6) = 0   which gives x value as either 8 or -6. Since the value cannot be negative

X = 8. Ie the number of persons is 8

3.       There are some families in a colony who have number of children among them. Going by the following conditions, identify the number of families in the colony.

a)  Number of adults >  Number of sons > Number of daughters >  Number of families.
b)  Each sister must have at least one brother and should have at the most 1 sister.
c)  Number of children in one family exceeds the sum of no of children in the rest of the families.

Ans: 3 families   (It’s a trial and error question)

1st Family : 2 adult, 2 daughters, 3 sons
2nd Family : 2 adult, 2 daughters, 1 son
3rd Family : 2 adult, 1 son
Conditions :
a) no. of adults > no. of sons > no. of daughters > no. of
families
6 > 5 > 4 > 3
b) each sister must have at least one brother and should have
at most 1 sister
in first family 1 sister had 3 bothers and 1 sister
c) no. of children in one family exceeds the sum of no. of
children in the rest families
1st family children > 2nd + 3rd family.

4.       A secret can be told to only 2 persons in 5 minutes .The same person tells to 2 more persons and so on. How long will it take to tell it to 768 persons?

Ans: 47.5 minutes

5.        A and B run in opposite directions from a pt. P on a circle with different but constant speeds. A runs in clockwise direction. They meet for the first time at a distance of 900 m in clockwise direction from P and for the second time at a distance of 800 m in anticlockwise direction from P. If B is yet to complete one round, the circumference of the circle is
a) 1700m              b) 1250m             c) 1300m              d) 1200m

Ans: (c)

The answer can be arrived from the choices.  On the clockwise direction A meets B at 900m from the starting point. In this time B has covered 400m in the anticlockwise direction.

In the second time A meets B at 800m in the anticlockwise direction. Since B has not completed one round it is evident that he has been walking in the same direction. At the time of the second meeting point B has travelled further 400m and A totally covered 400m in the first round and 500m in the second round to meet B at 800m in the anticlockwise direction.

Hence the circumference of the circle is 900 + 400 -> 1300m.

6.       A cube of 12cm sides is painted red on each side. It is cut into cubes of 3cm side each. How many of the smaller cubes do not have any side painted red?
a) 8         b) 12      c) 16       d) 0

Ans: (a)

Total number of smaller cubes is n³ -> 4³ -> 64 pieces.

Number of cubes having no painting is (n -2)³ -> (4 – 2)³ - > 8

7.       In a poultry farm because of cloning, large breeds of hens were produced. This increased the production but the maintenance was very difficult because of the large number. This does not mean that cloning is a disaster in the scientific world but it is a tool which in some ways is constructive but in other ways, it is destructive. What is your inference?

Probable Answer:

All scientific achievements contributing to the human welfare are to be used only upto the acceptable level and nothing more. (Readers can have their own answer)

8.       A ridge formed over Pacific Ocean was because of the intersection of two volcanoes. But in history it was written that it was not due to those volcanoes. It proves contradictory to form the view that history will be proved wrong in the future.
What is your inference?

Probable Answer:

Historical facts are susceptible to change with the advent of improved technologies.  (Readers can have their own answers)

9.       In Bangalore, during income tax verification of deduction for a single person, the percentage was increased by 3% and for a middle-class house-holder; it was decreased by 3%. What can you infer?

Probable Answer:

The tax bracket for a single person and a house holder are different. (Readers can have their own answer)

10.   A drove of sheep and chickens have a total of 99 heads and feet. There are twice as many chickens as sheep. How many of each is there?
Ans:  Nine sheep and eighteen chickens.