Logical Reasoning set 3

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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