Logical Reasoning set 11

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) What seven-letter word has hundreds of letters in it?

Time:  

solution: 

Mailbox

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2) 3,4,7,10,13,16,19,22,find 10th term in series

Time:  

A) 21

wrong answer

B) 18

wrong answer

C) 15

wrong answer

D) 28

right answer

solution: D) 28

explanation:
3
3*1=3+1=4
3*2=6+1=7
3*3=9+1=10
3*4=12+1=13
3*5=15+1=16
3*6=18+1=19
3*7=21+1=22
3*8=24+1=25
3*9=27+1=28

10th term = 28

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3) 4, 6, 10, 14, 22, 26, 34, 38, 46 ? what is next term in the series.

Time:  

A) 59

wrong answer

B) 85

wrong answer

C) 58

right answer

D) 72

wrong answer

solution: C) 58

explanation:
if you divide all the terms of the series by 2 , then you'll get ; 2, 3, 5, 7, 11, 13, 17, 19, 23 ... which are the first nine consecutive primes.  The next prime will naturally be 29.  The double will give 58.
So the next one will be 58.

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4)Four people played cards, which had colors on both of their sides. 
The colors on the two sides were different and no two cards had the same color combination. When the cards were distributed to them, they kept their cards on the table with one side per card facing up, of course. Each card holder knew the color of the hidden side of his card. They spoke up one by one as follows:
A: My card, showing Red above, has either Green or Blue color beneath
B: My card, showing Green above, has neither Green nor Blue color beneath
C: My card, showing Yellow above, has either Blue or Yellow color
beneath
D: My card, showing Blue above, has either Blue or Yellow color beneath 
However, later it was found that exactly two of them were lying. Can you find who was lying and what were the colors on the hidden sides of each card?

Time:  

A) c and d are lying

right answer

B) b and c are lying

wrong answer

C) b and d are lying

wrong answer

D) a and c are lying

wrong answer

solution: c and d are lying

explanation:

key: The colors on the two sides were different and no two cards had the same color combination.

c and d are lying because if yellow cannot have yellow on other side as c said so if lets consider that that yellow card on onside which c said contains blue then card on d hand containing blue should not contain the same yellow combination so c and d are lying

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5)The hour hand lies between 3 and 4.the difference between hour and minute hand is 50 degree.What are the two possible timings?

Time:  

A) 3:17 , 3:7 

wrong answer

B)3: 21, 3:7

wrong answer

C) 3:25 , 3:7

right answer

D) 3: 25, 3:8

wrong answer

solution: C) 3:25 , 3:7

explanation:

Angle between X and Y =[(X*30)-((Y*11)/2)]                where X is hour and Y is minute

If hour hand is ahead (angle =50)
50=[3*30-(Y*11)/2]
50=90-(Y*11)/2
(Y*11)/2=90-50=40
Y=2/11*(40)= 7.27
time = 3 : 7.27

If minute hand is ahead (angle = -50)

-50=[3*30-(Y*11)/2]
-50=90-(Y*11)/2
(Y*11)/2=90+50=140
Y=2/11*(140)=25.45
time = 3 : 25.45

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6)A circle is inscribed in a square, which is circumscribed by another circle. If the diagonal of square is 2x, find the ratio of the area of the large circle to the area of the small circle? 

Time:  

A) 2

right answer

B) 1

wrong answer

C) 3

wrong answer

D) 4

wrong answer

solution:  A) 2

explanation:

Find the area of the large area circle

x = the radius of the large circle
then
Area= pi*x^2;

Find the area of the small circle

Let s = side of the square, given that 2x = diagonal of the square
s^2 + s^2 = (2x)^2
2s^2 = 4x^2
Divide both sides by 2
s^2 = 2x^2
s = sqrt(2x^2)
s = x*sqrt(2)
the side of the square is also the diameter of the small circle,therefore:
diamiter= x*sqrt(2)
radius = x*sqrt(2)/2
Area=pi*[x*sqrt(2)/2]^2
Area=pi*[(x/2)^2]*2
Area=pi*[(x)^2]/2

ratio=[ large area ]/[small area]
ratio=[ pi*x^2 ]/[ pi*[(x)^2]/2 ]
ratio=1/(1/2)
ratio=2

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7)Complete the Table given below. Three football teams are there. Given below is the group table. Fill in the x's 

	Played	Won	Lost	Draw	Goals For	Goals Against
A	2	2	X	X	X	1
B	2	X	X	1	2	4
C	2	X	X	X	3	7

Time:  

solution: 

	Played	Won	Lost	Draw	Goals For	Goals Against
A	2	2	0	0	7	1
B	2	0	1	1	2	4
C	2	0	1	1	3	7

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8)Two trains are on the same track a distance 100 km apart heading towards one another, each at a speed of 50 km/h.

Time:  

A) 1953225 * 512

wrong answer

B) (2^9)*(5^9)

right answer

C) 1952125 * 512

wrong answer

D) (2^8)*(5^9)

wrong answer

solution:  (2^9)*(5^9)= 1000000000

explanation:

1953125 * 512 = 1000000000
OR
(2^9)*(5^9)= 1000000000

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9)If you are driving from PUNE to MUMBAI and distance is 240Km. The speed of the car is 4000mph. The the car will stopped for 1 hour during the traveling for drivers hospital chekup then what is the age of Driver?

Time:  

solution: 

since you are driver. so your age is the age of driver.

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10)A girl is blind, deaf, dumb and also uneducated a boy loves her without touching the girl how to propose the love to her?

Time:  
  

solution: 

He gives her a Rose, She can smell it and understands his LOVE,
Since she s deaf, she cant hear,
She s blind and not see,
And since he should not touch her she cant feel…
But she can smell…..

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