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Q:

Two trains of equal length, running with the speeds of 60 and 40 kmph, take 50 seconds to cross each other while they are running in the same direction. What time will they take to cross each other if they are running in opposite directions  ?

A) 10 sec B) 11 sec
C) 12 sec D) 8 sec
 
Answer & Explanation Answer: A) 10 sec

Explanation:

Relative Speed = 60 -40 = 20 x 5/18 = 100/18

Time = 50

Distance = 50 x 100/18 = 2500/9

Relative Speed = 60 + 40 = 100 x 5/18

Time = 2500/9 x 18/500 = 10 sec.

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Filed Under: Problems on Trains
Exam Prep: AIEEE , Bank Exams , CAT , GATE
Job Role: Bank Clerk , Bank PO

13 15282
Q:

A man rows his boat 60 km downstream and 30 km upstream taking 3 hrs each time. Find the speed of the stream ?

A) 5 kmph B) 10 kmph
C) 15 kmph D) 45 kmph
 
Answer & Explanation Answer: A) 5 kmph

Explanation:

Speed of the boat downstream  s=a/t= 60/3 = 20 kmph

Speed of the boat upstream s= d/t = 30/3= 10 kmph

 

Therefore,  The speed of the stream = speed of downstream - speed of upstream2=5 kmph

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Filed Under: Boats and Streams
Exam Prep: GATE
Job Role: Bank Clerk

34 15267
Q:

Mr. A, Miss B, Mr. C and Miss D are sitting around a table and discussing their trades.

1. Mr. A sits opposite to cook
2. Miss b sits right to the barber.
3. The washer man is on the left of the tailor
4. Miss D sits opposite Mr. C

What are the trades of A and B ?

A) Tailor and Barber B) Tailor and cook
C) Barber and cook D) washer man and cook
 
Answer & Explanation Answer: B) Tailor and cook

Explanation:

Clealry, C and D sit opposite to each other. So, if A sits opposite to cook, B shall be the cook.
Now, B is to the right of barber. So, one of the rest, say C will be barber.
Clealry, then D on the opposite side shall be washerman or tailor. But, washerman is left of tailor and D on the left of A.
So, D is washerman and A is tailor.

Thus, A and B are Tailor and Cook.

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Filed Under: Deriving Conclusions From Passages
Exam Prep: AIEEE , Bank Exams , CAT , GATE , GRE , TOEFL
Job Role: Analyst , Bank Clerk , Bank PO , Database Administration , IT Trainer

17 15251
Q:

Count the number of triangles and squares in the given figure.

A) 36 triangles, 7 Squares B) 38 triangles, 9 Squares
C) 40 triangles, 7 Squares D) 42 triangles, 9 Squares
 
Answer & Explanation Answer: C) 40 triangles, 7 Squares

Explanation:

The figure may be labelled as shown 

 

 

Triangles :

 


The Simplest triangles are BGM, GHM, HAM, ABM, GIN, IJN, JHN, HGN, IKO, KLO, LJO, JIO, KDP, DEP, ELP, LKP, BCD and AFE i.e 18 in number

 

The triangles composed of two components each are ABG, BGH, GHA, HAB, HGI, GIJ, IJH, JHG, JIK, IKL, KLJ,LJI, LKD, KDE, DEL and ELK i.e 16 in number.

 

The triangles composed of four components each are BHI, GJK, ILD, AGJ, HIL and JKE i.e 6 in number.

 

Total number of triangles in the figure = 18 + 16 + 6 =40.

 

Squares :

 


The Squares composed of two components each are MGNH, NIOJ, and OKPL i.e 3 in number

 

The Squares composed of four components each are BGHA, GIJH, IKJL and KDEL i.e 4 in number

 

Total number of squares in the figure = 3 + 4 =7

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Filed Under: Analytical Reasoning
Exam Prep: AIEEE , Bank Exams , CAT
Job Role: Bank Clerk , Bank PO

90 15251
Q:

In a party there are 5 couples. Out of them 5 people are chosen at random. Find the probability that there are at the least two couples ?

A) 6/7 B) 19/21
C) 7/31 D) 5/21
 
Answer & Explanation Answer: D) 5/21

Explanation:

Number of ways of (selecting at least two couples among five people selected) = (⁵C₂ x ⁶C₁)

As remaining person can be any one among three couples left.

Required probability = (⁵C₂ x ⁶C₁)/¹⁰C₅
= (10 x 6)/252 = 5/21

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Filed Under: Probability
Exam Prep: AIEEE , Bank Exams , CAT , GATE
Job Role: Bank Clerk , Bank PO

12 15245
Q:

Which sentence is capitalized correctly?

A) on a cloudless night, I studied pisces, a constellation in the north sky. B) On a cloudless night, I studied Pisces, a constellation in the North sky.
C) on a Cloudless Night, i studied Pisces, a constellation in the North Sky. D) On a cloudless night, I studied pisces, a constellation in the north sky.
 
Answer & Explanation Answer: B) On a cloudless night, I studied Pisces, a constellation in the North sky.

Explanation:
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Filed Under: Verification of Truth of the statement
Exam Prep: AIEEE , Bank Exams , CAT , GATE , GRE , TOEFL
Job Role: Analyst , Bank Clerk , Bank PO , Database Administration , IT Trainer

14 15232
Q:

Find the number of triangles in the given figure ?

                analyticalreasoning1331484546669.png image

A) 5 B) 8
C) 9 D) 10
 
Answer & Explanation Answer: D) 10

Explanation:

The given figure can be labelled as :

   analyticalreasoning13answer121484546728.png image

The simplest triangles are AJF, FBG, HDI, GCH and JEI i.e 5 in number.
The triangles composed of the three components each are AIC, FCE, ADG, EBH and DJB i.e 5 in number.
Thus, there are 5 + 5 = 10 triangles in the given figure.

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Filed Under: Analytical Reasoning
Exam Prep: Bank Exams , CAT
Job Role: Bank Clerk , Bank PO

66 15203
Q:

Second & fourth Saturdays and every Sunday is a holiday. How many working days will be there in a month of 31 days beginning on a Friday ?

A) 24 B) 23
C) 22 D) 25
 
Answer & Explanation Answer: A) 24

Explanation:

Given that the month begins on a Friday and has 31 days

 

Sundays = 3rd, 10th, 17th, 24th, 31st
=> Total Sundays = 5

 

Every second & fourth Saturday is holiday.
2nd & 4th Saturday in every month = 2

 

Total days in the month = 31

 

Total working days = 31 - (5 + 2) = 24 days.

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Filed Under: Calendar
Exam Prep: GATE , CAT , Bank Exams , AIEEE
Job Role: Bank PO , Bank Clerk

68 15184