The logical reasoning, also known as critical thinking or analytic reasoning, involves one's ability to isolate and identify the various components of any given argument.So, it is not a surprise that the logical reasoning questions commonly appear in any placement tests, competitive exams or entrance exams.

1) 21 km road can be done by 45 workers in 300 days.100 days later only 5 km road is completed. So how many workers should more join to complete work in same time.

Time:  

A) 72

wrong answer

B) 27

right answer

C) 45

wrong answer

D)62

wrong answer

solution: 27

explanation :
capacity of doing work of a man before and after will be same
100*45/5=200*x/(21-5)
x=72
total increase in workers=72-45=27

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2)a,b,c,d,e are distinct numbers. If (75-a) (75-b) (75-c) (75-d) (75-e) =2299.
Then a+b+c+d=? 
Hint(as given): 2299 is divisible by 11. 

Time:  

A) 308

wrong answer

B) 281

wrong answer

C) 280

wrong answer

D) 306

right answer

solution: 306

explanation:
2299 = 11×11×19×1×1 = 11× (−11)×19× (−1) × 1
but Two of the terms in the given expression should equal to 1. As all the digits are distinct, two of the terms should be negative.

One possible solution = (75 - 64)(75 - 56)(75 - 86)(75 - 74)(75 - 76)
Then a + b + c + d + e = 64 + 56 + 86 + 74 + 76 = 356

But as the sum of only 4 terms was asked, we have to subtract one term.
So given answer can be one of 292, 306, 270, 282, 280.

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3) A beaker contains 180 liters of alcohol. On 1st day, 60 l of alcohol is taken out and replaced by water.  2nd day, 60 l of mixture iss taken out and replaced by water and the process continues day after day. What will be the quantity of alcohol in beaker after 3 days ?

Time:  

A) 30

wrong answer

B)0

wrong answer

C) 53.3

right answer

D) 108

wrong answer

solution: 53.3

explanation:
Final Alcohol = Initial Alcohol ×( 1− Replacementquantity/FinalVolume) ^ n
Where n is no of days.
Here n is 3.
Final Alcohol = 180 ×( 1− 60/180) ^ 3== 180 ×( 2/3) ^ 3=53.3

Hence quantity of alcohol in beaker after 3 days is 53.3

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4) Sum of number between 200 and 300 which is multiple of 3?

Time:  

A) 8517

right answer

B) 8217

wrong answer

C) 10380

wrong answer

D) 8818

wrong answer

solution: A) 8517

explanation:

multiple of 3 between 200 and 300
201,204,207,......297,300
hear a= 201, d=3,last term=300
Last term= a+ (n-1)d
300= 201+ (n-1)x3
Therefore n=34

sum of numbers(201+204+...+297+300)= (n(a+last term))/2 = 34(201+300)/2 = 8517
Sum of number between 200 and 300 which is multiple of 3 is 8517

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5) Mother, daughter and infant total weight is 74 kg. Mother's weight is 46 kg more than daughter and infant's weight. Infant's weight is 60% less than daughter's weight. Find daughter's weight.

Time:  

A) 10Kg.

right answer

B) 20Kg.

wrong answer

C) 15Kg.

wrong answer

D) 7Kg.

wrong answer

solution: A) 10Kg.

explanation:

Mother, daughter and infant total weight is 74 kg.
M+D+I = 74 .....(I)

Mother's weight is 46 kg more than daughter and infant's weight
M= (D+I)+46.....(II)

Substitute value of M in eq(I)
M+D+I = 74
(D+I)+46+D+I = 74
2(D+I)=74-46
2(D+I)=28
D+I = 14.....(III)

Infant's weight is 60% less than daughter's weight.
I= D*(1-60%)=D*(40%)=D*40/100
I=D*2/5

Substitute value of I in eq(III)
D+I = 14
D+D*2/5 = 14
7D/5=14
D=10

Daughters weight is 10Kg.

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6) A man goes upstream for 10 km in 5 hour .another man goes downstream for 10 km in 3 hour .if speed of stream is 15 km/h what is the difference in speed of both men.

Time:  

A)5.33 kmph

right answer

B) 3.85 kmph

wrong answer

C) 4.67 kmph

wrong answer

D) 6.33 kmph

wrong answer

solution: A)5.33 kmph

explanation:

A man goes upstream for 10 km in 5 hour
speed in upstream = 10/5 = 2 kmph

another man goes downstream for 10 km in 3 hour
speed in downstream = 10/3 kmph

but speed of stream is 15 km/h
upstream = 15-2 = 13 kmph
downstream = 15+10/3 = 18.33 kmph

difference in speed of both men = 18.33-13.00= 5.33 kmph

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7)Price in taai is 15rs/km. in train 21rs/km. Total distance 450 km. Total amount paid 8130 rs. Journey travel by train?

Time:  

A) 230Km

right answer

B) 200Km

wrong answer

C) 220Km

wrong answer

D) 240Km

wrong answer

solution:  230Km

explanation:

let distance by taai is x then by train will be y.
Total distance traveled is 450 km.
x+y=450....(I)

Price in taai is 15rs/km and in train 21rs/km.Total amount paid 8130 rs.
15x+21y=8130....(II)

from (I) & (II),
x=220
y=230

Journey travel by train =y=230Km

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8)There are 12 towns grouped into four zones with three towns per zone. It is intended to connect the towns with a telephone lines such that every two towns are connected with three direct lines if they belong to the same zone, and with only one direct line otherwise. How many direct telephone lines are required?

Time:  

A) 72

wrong answer

B) 90

right answer

C) 96

wrong answer

D) 144

wrong answer

solution:  90

explanation:

In each zone, there are 3 towns and so each town in any particular zone will be connected to each of the remaining two towns in the same zone with 3 lines( as given in question). So, in each such zone, there will be a total of 3 x 3 = 9 lines connecting towns of a that zone to itself and since there are four such zones, there will be a total of 9 x 4 = 36 lines.

Now, since there are four zones with 3 towns in each zone, each town of a particular zone will be connected by a single line to the remaining 9 towns with a total of 1 x 9  = 9 lines.

Similarly other two towns of first zone will connected to 9 towns.So, the towns of the first zone will be connected to the towns of the remaining three zones with a total of 3 x 9 = 27 lines.

 Similarly, the towns of the second zone with now be connected to the towns of the remaining two zones with a total of 2 x 9 = 18 lines and finally the towns of the thirds zone will be connected to the towns of the fourth zone with a total of 9 lines, thus giving us a total of 27 + 18 + 9 = 54 lines.

Hence, the total number of lines = 36 + 54 = 90.

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9)A salesman buy 20 kg rice at the rate of 26 per kg and another rice item 30 kg at the rate of 40 per kg. Now he mix both and sell a part at Rs572 now on what price he sells the remaining part so that he earns total 25% profit . 

Time:  

A) 1578

right answer

B) 1478

wrong answer

C) 2150

wrong answer

D) 3150

wrong answer

solution:  A) 1578

explanation:

A salesman buy 20 kg rice at the rate of 26 per kg and another rice item 30 kg at the rate of 40 per kg.
Total cost price =(20*26)+(30*40)=1720

he want to earns total 25% profit
25%profit =1720*25/100 =430
so total selling price =1720+430 =2150

he sell a part at Rs572
hence another part should be sell at 2150-572=1578 Rs

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10)A does a work in 15 days B and C does the same work in 12 and 20 days respectively. C left the work after two days and B left before completion of 3 days. Find the total no. of days in which work completed.

Time:  

A)3.5

wrong answer

B)7.66

right answer

C)6.25

wrong answer

D)6

wrong answer

solution:  B)7.66

explanation:

Let they complete work in "x" days.

A works for x days= x/15

B left before complimantation of 3 days.
B works for (x-3) days=(x-3)/12

C left the work after two days
C works for 2 days= 2/20

x/15+ (x-3)/12 + 2/20=1
x=7.66

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The logical reasoning, also known as critical thinking or analytic reasoning, involves one's ability to isolate and identify the various components of any given argument.So, it is not a surprise that the logical reasoning questions commonly appear in any placement tests, competitive exams or entrance exams.

1) Look at this series: 31, 29, 24, 22, 17, ... What number should come next?

A) 15

right answer

B) 14

wrong answer

C) 13

wrong answer

D) 12

wrong answer

solution: 15

explanation :

1st number is 31
2nd number is 29 (31 -2)
3rd number is 24 (29 -5)
4th number is 22 (24 -2)
5th number is 17 (22 -5)
6th number is 15 (17 -2)

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2) The age of the grand lady is between 50-70 where each of her son has as many sons as many brothers he has. The grand lady's age is equal to the number of sons and grand sons. What is the age of the grand lady?

A) 55

wrong answer

B) 64

right answer

C) 65

wrong answer

D) 69

wrong answer

solution: 64

explanation:

The age of the grand lady is between 50-70 where each of her son has as many sons as many brothers he has.
The grand lady's age is equal to the number of sons and grand sons. What is the age of the grand lady

Assume the grand lady has x sons.
Each of her sons has x-1 brothers. Therefore they should each have x-1 sons.
Since there are x sons and each has x-1 sons, the total number of grandsons is: x(x-1)

The total number of grand lady sons and grandsons=x + x(x-1) = x + x^2 - x = x^2
it is given that grand lady age is between 50 and 70 and grand lady's age is equal to the number of sons and grand sons.

Now we have 50 <= x^2 <= 70

Take the square root and we get

sqrt(50) <= x <= sqrt(70)

The only natural number that satisfies these inequalities is x=8.
So grand lady has 8 sons. Each of them has 7 sons.
The total number of grandsons : 8x7=56
The total number of grandsons and sons: 64

grand Lady's age = 64

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3)A cube of volume 1000 cm^3 is divided into small cubes of 1 cm^3 & all the outer surfaces are painted how many cubes will be there with at least one side painted and no side painted ?

A) 512,488

wrong answer

B) 520,384

wrong answer

C) 488,512

right answer

D) 384,512

wrong answer

solution: 488,512

explanation:

click here for tricks to solve cube problem
0 sides painted = (n-2)^3            where n is number blocks on one row or column of the cube
here x =cube root of 1000=10
so ans is (10-2)^3=8^3=512
Number of cubes with atleast one side painted = 1000-512= 488

so
Number of cubes with No side painted = 512

Number of cubes with atleast one side painted = 1000-512= 488

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4)In a group of six women, there are four dancers, four vocal musicians, one actress and three violinists. Girija and Vanaja are among the violinists while Jalaja and Shailja do not know how to play on the vilion. Shailja and Tanuja are among the dancer. Jalaja, Vanaja, Shailja and Tanuja are all vocal musicians and two of them are also violinists. If Pooja is an actress, who among the following is both a dancer and a violinist ?

A) Jalaja

wrong answer

B) Shailja

wrong answer

C) Tanuja

right answer

D) Pooja   

wrong answer

solution: Tanuja

explanation:

The four vocal musicians and one actress in the group are given. Two dancers are Shailja and Tanuja. Two violinists are Girija and Vanaja. Since Jalaja and Shailja cannot be violinists. so, remaining two violinists are Tanuja and Pooja.
Clearly, Tanuja is both a violinist andd a dancer.

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5) A sixth grade teacher asked her students to draw rectangles with positive integer length and a perimeter of 42.the difference between the largest and smallest possible ares of the rectangles that the students could have come up with is?

A) 20 

wrong answer

B) 10

wrong answer

C) 110 

wrong answer

D) 90 

right answer

solution: 90

explanation:

sum of length and breadth will be 21 units .
2(l+b)=42
l+b=21
area will be max
when length=11 and breadth =10
area (lxb) = 11x10=110 sq units

area will be min
when length=20 and breadth =1
area (lxb) = 20x1=20 sq units

therefore difference between the largest and smallest possible areas of the rectangles that the students could have come up with= 110-20=90 sq units

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6) Find the number of 6 digit numbers consisting only of even digits

A) 625

wrong answer

B) 15625.

wrong answer

C) 12500

right answer

D) 20625

wrong answer

solution:  12500.

explanation:

even digits are 0,2,4,6,8... as we normally consider 0 as even number.
We can choose the 1st digit as 2,4,6, or 8.  That's 4 ways. ( as first digit can not be zero.)
We can choose the 2nd digit as 0,2,4,6, or 8.  That's 5 ways.
We can choose the 3rd digit as 0,2,4,6, or 8.  That's 5 ways.
We can choose the 4th digit as 0,2,4,6, or 8.  That's 5 ways.
We can choose the 5th digit as 0,2,4,6, or 8.  That's 5 ways.
We can choose the 6th digit as 0,2,4,6, or 8.  That's 5 ways.
number of 6 digit numbers consisting only of even digits= 4*5*5*5*5*5 = 4*3125 = 12500.

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7) There are 15 stepping stones numbered from 1 to 15. A frog jumps from the 1st stone as follows; Every minute it jumps to the 5th stone from where it started - that is from 1st it would go to 6th and from 6th it would go to 11th and from 11th it would go to 16th etc. And another frog jumps from 1st stone in the same manner but it takes 4 minutes for each jump. What would be the number of stepping stones between the two frogs at the 60th minute if they start at 1st step?

A) 0

right answer

B) 14

wrong answer

C) 12

wrong answer

D) 5

wrong answer

solution:  0

explanation:

To find the position of the 1st frog at 60 minute:
1st minute : 1 + 5 = 6th step
2nd minute : 6 + 5 = 11th step
3rd minute : 11 + 5 = 15 + 1 = 1st step
(next step was 11+ 5=16 but we have only 15 stones so it will start back to 1st  for remaining steps)
4th minute : 1 + 5 = 6th step
5th minute : 6 + 5 = 11th step
6th minute : 11 + 5 = 15 + 1 = 1st step

The same process is repeated 20 x 3 times.

Then, the jumping positions are

1 6 11
1 6 11
1 6 11 and so on.

after 20th cycle it will be in the 1st position

i.e., at 60th minute it will be in the step numbered 1.

Now, to find the position of the 2nd frog at 60 minute:

It takes 4 minutes for each jump.

End of 4 minutes : 1 + 5 = 6th step
End of 8 minutes : 6 + 5 = 11th step
End of 12 minutes : 11 + 5 = 15 + 1 = 1st step
End of 16 minutes : 1 + 5 = 6th step
End of 20 minute : 6 + 5 = 11th step

To make it easy we have written the above pattern again as follows:

Minutes : 4 8 12 16 20 24 28 32 36 40 44 48 52 56 60
Steps : 6 11 1 6 11 1 6 11 1 6 11 1 6 11 1

At 60th minute the 2nd frog will be in 1st step.

Thus, the two frogs are in same position in 60th minute.
Then the number of stepping stones between them is 0.
Hence, the answer is 0.

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8) The average price of 14 different dolls is Rs 18 while the average price of 20 of these dolls is Rs 18.20. Of the remaining two dolls if the price of one is 50% more than the price of the other. What is the price of these two dolls?

A) 44.8 & 67.2

right answer

B) 67.2 & 44.8

wrong answer

C) 54.8 & 37.4

wrong answer

D)  47.2 & 64.8

wrong answer

solution:  (A) 44.8 & 67.2

explanation:

18 dolls price= 18*14=252
20 dolls price = 20*18.20 = 364
remaining (20-18)=2 dolls price = (364-252)=112

let price of 1 doll be 'X'
price of 2nd doll is 50% more than the price of doll 1
price of 2nd doll = X + (50/100)X=x+x

so total price of the dolls =X + X/2 + X = 112
X=44.8

price of 1st doll = 44.8
price of 2nd doll = x+x/2= 44.8 + 44.8/2=67.2

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9) There are 3 temples and river.location of river and temple is alternative.(such as river, temple, river, temple, river, temple) A person having some flowers and when that person moves in river the flower got doubled and person put equal no of flowers in each temple.At the end no flower is left with him then how many flowers initially person carried and how many flowers he put in each temple ?

A) 1

wrong answer

B) 2

wrong answer

C) 5

wrong answer

D) 7

right answer

solution:  7

explanation:


Let m be initial number of flowers and n be the flowers offered at each temple by the person.
Initial flowers = m
After stepping into the first temple = 2m
Flowers offered at the first temple = n
Remaining flowers = 2m – n

After stepping into the second temple = 2*(2m – n) = 4m – 2n
Flowers offered at the second temple = n
Remaining flowers = 4m – 3n

After stepping into the third temple = 2*(4m – 3n) = 8m – 6n
Flowers offered at the third temple = n
Remaining flowers = 8m – 7n

Now as per the question (8m – 7n) must be equal to 0.
i.e. 8m – 7 n = 0
8m = 7n
m/n = 7/8
Thus m = 7; n = 8
Which means, the person had 7 flowers in the beginning and he offered 8 flowers at each temple.

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10) I have to catch a train by 6 AM. there is still time remaining to catch the train. My friend told me that 50 min ago the time remaining was 3 times as much time as that after 3 AM. How much time is remaining for my train?

A) 8 hrs 10 mins

right answer

B) 4 hrs 50 mins

wrong answer

C) 6 hrs 50mins

wrong answer

D) 7 hrs 10mins

wrong answer

solution:  8 hrs 10 mins

explanation:

t2----t1---6AM
At t1 it was told 50 mins ago
At t2 time left is 3 times a left at 3AM which is 3 hrs.
So time at t2 is 3*3=9 hrs
so t1=9hrs- 50 mins=8hrs 10mins

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Learn more »

The logical reasoning, also known as critical thinking or analytic reasoning, involves one's ability to isolate and identify the various components of any given argument.So, it is not a surprise that the logical reasoning questions commonly appear in any placement tests, competitive exams or entrance exams.

1) Jack,Doug and Ann, 3 children had a running race while returning from school.Mom asked who won the race. Then Jack replied" I wont tell u.I wil give u a clue,When Ann takes 28 steps Doug takes 24 steps, meantime I take 21 steps. Jack explained that his 6 steps equals Droug's 7 steps and Ann's 8 steps. Who won the race?

i) Jack

wrong answer

ii) Ann

wrong answer

iii) Jack and Ann 

wrong answer

iv) Doug

right answer

solution: iv) Doug

explanation :

Here distance of the race means Ann has to take 28 steps, Doug 24, and Jack 21.
In the time it takes Jack to do 6 steps, Doug does 7, and Ann does 8.

Thus;

Jack takes 21/6 = 3.5 units of time to complete the distance
Doug takes 24/7 = 3.428571 rec. units of time
Ann takes 28/8 = 3.5 units of time

So Doug wins.

look at steps

Ann steps = 8,16,24,28 --- finished by 3 & half full steps

Doug steps=7,14,21,24 --- finished before 3 & half full steps

Jack steps= 6,12,18,21 --- finished by 3 & half full steps

Hence Doug won the race.

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2) A man fixed an appointment to meet the manager, Manager asked him to come two days after the day before the day after tomorrow. Today is Friday. When will the manager expect him?

A) Tuesday

wrong answer

B) Saturday

wrong answer

C) Wednesday

wrong answer

D) Monday

right answer

solution: D) Monday

explanation:

  1        2         3          4        5         6       7
sun     mon     tue      wed     thu      fri   sat

today is Friday = 6
By question
day after tomorrow is sunday
day before sunday is saturday
now 2 days after saturday is monday.
hence answer is monday.

[Don't confuse it with Tuesday.the correct answer is Monday]

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3) 2 men r playing tossing a coin. if one of them wins he gets 1$ frm the loser. at the end of a no. of games one of them had 3$ and the other won 3 times. how many games did they play?

A) 6

wrong answer

B) 24

wrong answer

C) 9

right answer

D) 7

wrong answer

solution: 9

explanation:

Let and A and B are playing and A has 3$ and B won 3 times.

Total money earn by A = no of games A won - no of games A loss
if A loss game means B won.
Therefore
Total money earn by A = no of games A won - no of games B won
3 = no of games A won -3
no of games A won=6
So
A won = 6 games
B won = 3 games

Hence total no of games is 9.

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4)A lady goes for shopping. She bought some shoestrings. 4 times the number of shoestrings, she bought pins and 8 times, handkerchiefs. She paid each item with their count as each piece's cost. She totally spent Rs. 3.24. How many handkerchiefs did she buy? 

A) 16

right answer

B) 20 

wrong answer

C) 18 

wrong answer

D) 8

wrong answer

solution: 16

explanation:

say she has bought x amount of shoestrings
pin=4x
handkerchiefs=8x
She paid each item with their count as each piece's cost
so cost of shoestring=x*x
pin=4x*4x
handkerchiefs=8x*8x
so x*x+4x*4x+8x*8x=3.24 =324paisa
x*x=324/81
x=2
handkerchiefs she bought=8*x=16

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5) A woman says " my age is my husbands age reversed. if u take the difference between my age and my husband's it will be equal to one by eleventh of the sum of our ages. what is my age? "

A) 45

right answer

B) 35 

wrong answer

C)54

wrong answer

D) 63

wrong answer

solution: 200

explanation:

Let husband's age be: 10x+y
Wife's age : 10y+x
therefore according to question: (10x+y)-(10y+x)= 1/11(10x+y + 10y+x)
or,(x+y)/(x-y)=9/1
By componendo-dividendo : x/y=5/4, as x a nd y are single digit, so, x=5 and y=4
So husband's age is 54 and wife's age is 45.

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6) A camel must travel 15 miles in order to reach the nearest city. She have 45 bananas with her but can carry only 15 at a time. Also she eat 1 banana /mile. Then the maximum no of bananas that can be transported to the city?

A) 4

wrong answer

B) 6

wrong answer

C) 8

right answer

D) 12

wrong answer

solution:  8

explanation:

Have the camel travel 3 miles with 15 bananas. She will eat 3.
Drop off 9 bananas at the 3 mile marker, give the camel 3 bananas for the trip back and head to the start. Pick up 15 more bananas.
The camel eats 3 as you head to the 3 mile marker. Drop off another 9, give the camel 3 for the trip back, and head back to get the other 15.
Load the last 15 bananas up, and head for mile 3. The camel eats 3. You now have 9+9+12 = 30 bananas and are 12 miles from the city.

Load up 15 bananas and travel another 5 miles, to mile 8. The camel eats 5 bananas. Drop off 5 bananas, leaving 5 bananas to feed the camel for the trip back. Go back up to mile 3 and load up the last 15 bananas, and travel again to mile 8. The camel eats 5 bananas. You now have 15 bananas and are at mile 8.

Finally, take all 15 bananas and head the rest of the way. You are at mile 8 so you have 7 miles to go. The camel eats 7 bananas, leaving you with 8 bananas when you arrive.

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7) The length of a rectangle is increased by 60%. By what % would the width have to be decreased to maintain the same area?

A) 60%

wrong answer

B) 30%

wrong answer

C) 37.5%

wrong answer

D) 30%

right answer

solution:  37.5%

explanation:

length of a rectangle is increased by 60%. the width is to be decreased to x% to maintain the same area

Area of rectangle = length * width
length of a rectangle is increased by 60% means (60/100)length
therefore new length is 1.6*length
and new width is (x/100)*width
now area of both rectangle is same.
length * width = (1.6*length)* ((x/100)*width)
x= 100/1.6 = 62.5

Hence breadth should be decreased by (100-62.5) = 37.5 %

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8) A and B are shooters and having their exam. A and B fall short of 10 and 2 shots respectively to the qualifying mark. If each of them fired atleast one shot and even by adding their total score together, they fall short of the qualifying mark, what is the qualifying mark?

A) 9

wrong answer

B) 10

wrong answer

C) 11

right answer

D) 1

wrong answer

solution:  11

explanation:

If a & b are scores of A and B respectively and Q is qualifying score, then
Q = a+10, a = Q-10
Q=b+2, b= Q-2
Q = a+b+1 = Q-10+Q-2+1= 2Q-11
Q=11
a=1
b=9

Hence 11 is the qualifying mark.

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9) What is the sum of first 100 terms which are common to both the progressions? 17,21,25,... and 16,21,26,...

A) 120000

wrong answer

B) 100000

wrong answer

C) 101111

wrong answer

D) 101100

right answer

solution:  101100.

explanation:

1st series is  17,21,25,...
2nd series is 16,21,26,...
Common  difference  of  1st series = 4.
common  difference  of  2nd series = 5.
Now,  common  difference  of  sequence of  identical  terms = LC.M.  of  4  and  5 = 20.
First  term = 21,
Sum of 1st 100 term = (100/2)[ 2 x 21 + (100-1) x 20 ]= 101100.

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10) A car owner buys petrol at Euro 7.50, Euro 8 and Euro 8.50 per litre for three successive years. What approximately is the average cost per litre of petrol if he spends Euro 4000 each year?

A) Euro 8.50

wrong answer

B) Euro 7.98

right answer

C) Euro 8

wrong answer

D) Euro 9

wrong answer

solution:  Euro 7.98

explanation:

petrol used in 1st year = 4000/7.5 = 533.33 litre
petrol used in 2nd year = 4000/8   = 500 litre
petrol used in 3rd year = 4000/8.5 = 470.59 litre

Total petrol used in 3 years = 533.33 + 500 + 470.59 = 1503.92 litre
Total money spend on petrol in 3 years = 3*4000 =12000 Euro

Average cost per litre = 12000/1503.92 =  7.98 Euro

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The logical reasoning, also known as critical thinking or analytic reasoning, involves one's ability to isolate and identify the various components of any given argument.So, it is not a surprise that the logical reasoning questions commonly appear in any placement tests, competitive exams or entrance exams.

1) At 6'o clock, the clock ticks(strike) 6 times. The time between first and last ticks was 30 sec. How much time it takes at 12'o clock?

i) 24

wrong answer

ii) 33

wrong answer

iii) 66

right answer

iv) 96

wrong answer

solution: 66.

 explanation :

At 6'o clock ticks 6 times
for first strike there is no time needed.
so 5 interval is there.
time between first and last tick is 30 sec.
so
30/5=6
i.e time of each interval is 6 sec.

Similarly at 12'o clock, clock ticks 12 times i.e 11 interval (for first strike there is no time needed.)
so
1 interval time=6
so 11 interval=11*6=66

It will takes 66 sec at 12'o clock.

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2)The cost of 15 apples & 20 mangoes is much as equal to the 15 mangoes & 20 apples then what is the relation between their costs ratio  ?

A)1:1

right answer

B)2:1

wrong answer

C)1:2

wrong answer

D)3:2

wrong answer

solution: 1:1

explanation:

Let the cost of mango be M and apple be A
construct the following equations by the data given,
15A+20M=C---------eq(1) where C-cost
20A+15M=C---------eq(2)
solving the equations we get
A=M
so the cost of apple and mango are same.
hence cost ratio is 1:1

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3)There were some containers of quantity 1,3,4,5,6,12,15,22,24,38 liters.Each was filled with some liquid except one.The liquids are milk, water and oil.Quantity of each was like this
water = 2* milk  
and oil = 2* water
find out which container was empty ?

A) 7 liter

wrong answer

B) 5 liter

wrong answer

C) 4 liter

right answer

D) 12 liter

wrong answer

solution: 4 liter

explanation:
1 + 3 + 4 + 5 + 6 + 12 + 15 + 22 + 24 + 38 = 130
if milk is 1, water is 2 and oil is  4 with  total 7
if milk is 2, water is 4 and oil is  8 with total 14
if milk is 3, water is 6 and oil is 12 with total 21
               .                                                       .
               .                                                       .
               .                                                       .
if milk is n, water is n*2 and oil is n*4 with total n*7
This means the total of all liquids is always like n * 7

130 divided by 7 is 18 with 4 liters left out

milk = 18 liter
water =2*milk=2*18= 36 liter
oil    =2*water=2*36= 72 liter
and 4 liters left out.
Container of 4 liter was empty

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4)If a die has 1,6 and 3,4 and 2,5 opposite each other how many such dies can be made.

A) 12 

right answer

B) 8

wrong answer

C) 2

wrong answer

D) 27

wrong answer

solution: 12

explanation:

Let's take a blank die which has faces a,b,c,d,e,f

(a,b),(c,d),(e,f) are opposite pair of sides

(1,6),(3,4),(2,5) are 3 possible opposite side sets required

These three can be arranged in above blank cube in 3*2 = 6 ways

Each of these pairs can be arranged in 2 ways (1,6) or (6,1).

Therefore Total number of dice possible = 6*2 = 12

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5)The police rounded up Jim, Bud and Sam yesterday because one of them was suspected of having robbed the local bank. The three suspects made the following statements under intensive questioning.
Jim : I’m innocent.
Bud: I’m innocent.
Sam: Bud is the guilty one.
If only one of the statements turned out to be true, who robbed the bank?

A)Jim robbed the bank 

right answer

B)Bud robbed the bank

wrong answer

C)Sam robbed the bank

wrong answer

D)Jim, Bud and Sam robbed the bank. 

wrong answer

solution: Jim robbed the bank

explanation:

Key is only one of the statements turned out to be true.

If bud robbed the bank.

Jim "I'm innocent" true
Bud "I'm innocent" false
Sam "Bud did it" true

There's 2 trues it doesn't work.

If Sam robbed the bank 

Jim "I'm innocent" true
Bud "I'm innocent" true
Sam "Bud did it" false

There's 2 trues again.

But if Jim robbed the bank.

Jim "I'm innocent" false
Bud "I'm innocent" true
Sam "Bud did it" false.

only one true statement.

Hence Jim robbed the bank.

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Direction for question(6-9)
A particular seafood restaurant serves dinner Tuesday through Sunday. The restaurant is closed on Monday. Five entrees snapper, halibut, lobster, mahi mahi, and tuna are served each week according to the following restrictions:

Halibut is served on three days each week, but never on Friday.

Lobster is served on one day each week.

Mahi mahi is served on three days each week, but never on consecutive days.

Halibut and snapper are both served on Saturday and Sunday.

Tuna is served five days each week.

No more than three different entrees are served on any given day.

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 6) On which of the following pairs of days could the restaurant's menu of entrees be identical?

A) Friday and Sunday

wrong answer

B) Tuesday and Wednesday

wrong answer

C) Saturday and Sunday

wrong answer

D) Wednesday and Friday

right answer

E) Thursday and Friday 

wrong  answer

solution:  (D) Wednesday and Friday

explanation:

Let's try to make chart of each day

Halibut and snapper are both served on Saturday and Sunday.
and Halibut is served on three days each week, but never on Friday.
we don't about other two days for Halibut. 

Mahi mahi is served on three days each week, but never on consecutive days.
so there is two case
case 1:

case 2:

Tuna is served five days each week.
but we can no serve Tuna  on Sunday because No more than three different entrees are served on any given day.
case 1:

case 2:

now we can fill only this much from given data.
so we try to eliminate options.

(A) Friday and Sunday
In both case Halibut is missing from Friday menu.
Hence A is not possible.

(B) Tuesday and Wednesday
(C) Saturday and Sunday
(E) Thursday and Friday 
In case of (B),(C) and (E) because they are are consecutive days.so we can not serve Mahi Mahi
Hence  (B),(C) and (E)  is not possible.

so remaining option (D) Wednesday and Friday is correct answer.

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7)Which of the following is a complete and accurate list of the days on which halibut and lobster may both be served?

A) Tuesday, Thursday

wrong answer

B) Tuesday, Wednesday, Thursday

right answer

C) Monday, Tuesday, Wednesday

wrong answer

D) Tuesday, Wednesday, Thursday, Friday

wrong answer

E) Tuesday, Wednesday, Thursday, Saturday 

wrong  answer

solution:  (B) Tuesday, Wednesday, Thursday

explanation:

because halibut has to be serverd 3 daysshould be on Saturday and Sunday not on friday.
there may be chance of serving halibut on tue,wed,thurs if we consider two cases and each day should not exceed 3 food items.

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8)If mahi mahi is served on Saturday, it could be true that

A) snapper and mahi mahi are both served on Sunday

wrong answer

B) snapper and halibut are both served on Tuesday

wrong answer

C) lobster and halibut are both served on Thursday

wrong answer

D) tuna and snapper are both served on Saturday

wrong answer

E) lobster and snapper are both served on Friday

right answer

solution:  (E) lobster and snapper are both served on Friday

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9)Which of the following statements provides sufficient information to determine on which three days halibut is served?

A) Mahi mahi and lobster are served on the same day.

wrong answer

B) Lobster and snapper are both served on Tuesday.

wrong answer

C) Tuna is served on Saturday, and lobster is served on Tuesday.

wrong answer

D) Mahi mahi is served on Saturday and snapper is served on all but one of the six days.

wrong answer

E) Tuna is served on Sunday, and snapper is served on Tuesday and Thursday.

right answer

solution:  (E) Tuna is served on Sunday, and snapper is served on Tuesday and Thursday.

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