Aptitude and Reasoning Questions

Q:

Buses start from a bus terminal with a speed of 20 km/hr at intervals of 10 minutes. What is the speed of a man coming from the opposite direction towards the bus terminal if he meets the buses at intervals of 8 minutes?

A) 5 kmph B) 6 kmph
C) 7.5 kmph D) 8 kmph
 
Answer & Explanation Answer: A) 5 kmph

Explanation:

Let p be the speed of man in kmph

According to the given data in the question,

Distance travelled by bus in 10 min with 20 kmph == Distance travelled by man in 8 min with (20 + p) kmph in opposite direction

=> 20 x 10/60 = 8/60 (20 + p)

=> 200 = 160 + 8p

=> p = 40/8 = 5 kmph.

Report Error

View Answer Report Error Discuss

14 10048
Q:

Identify the diagram that best represents the relationship among the given classes.

Human being, Doctors, Post­graduates

A) 1 B) 2
C) 3 D) 4
 
Answer & Explanation Answer: B) 2

Explanation:
Report Error

View Answer Report Error Discuss

Filed Under: Logical Venn Diagram
Exam Prep: Bank Exams

7 10047
Q:

Veeru is the brother of the son of Raghu's son. Then what is the relationship of Veeru to Raghu ? 

A) Grand son B) Brother
C) Cousin D) Nephew
 
Answer & Explanation Answer: A) Grand son

Explanation:

k441483001425.jpg image

Report Error

View Answer Report Error Discuss

Filed Under: Blood Relations
Exam Prep: CAT
Job Role: Analyst

11 10047
Q:

A train is traveling at 48 kmph . It crosses another train having half of its length , traveling in opposite direction at 42 kmph, in 12 seconds. It also passes a railway platform in 45 seconds. What is the length of the platform ?

A) 500 B) 400
C) 360 D) 480
 
Answer & Explanation Answer: B) 400

Explanation:

Speed of train 1 = 48 kmph
Let the length of train 1 = 2x meter

Speed of train 2 = 42 kmph
Length of train 2 = x meter (because it is half of train 1's length)

Distance = 2x + x = 3x
Relative speed= 48+42 = 90 kmph = (90*5/18)  m/s = 25 m/s 


Time = 12 s

Distance/time = speed 

=>3x/12 = 25 (25*12)/3 

Length of the first train = 2x = 200 meter
Time taken to cross the platform= 45 s

Speed of train 1 = 48 kmph = 480/36 = 40/3 m/s

Distance = 200 + y     [where y is the length of the platform] 

x =100m => 200+y = 45* 40/3
y = 400m

Report Error

View Answer Report Error Discuss

Filed Under: Problems on Trains

13 10040
Q:

If x is chosen at random from the set {1,2,3,4} and y is to be chosen at random from the set {5,6,7}, what is the probability that xy will be even?

A) 1/2 B) 2/3
C) 3/4 D) 4/3
 
Answer & Explanation Answer: B) 2/3

Explanation:
 

S ={(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)}
Total element n(S)=12

xy will be even when even x or y or both will be even.
Events of x, y being even is E.
E ={(1,6),(2,5),(2,6),(2,7),(3,6),(4,5),(4,6),(4,7)}
n(E) = 8

P(E)=n(E)n(S)=812 = 4/3

Report Error

View Answer Report Error Discuss

Filed Under: Probability

15 10032
Q:

If M $ N means M is the brother of N; M # N means M is the mother of N; M * N means M is the daughter of N. Then in I # J $ K * L, who is the father ?

A) L B) K
C) J D) I
 
Answer & Explanation Answer: A) L

Explanation:

I is the mother of J, J is the brother of K and K is the daughter of L. Hence , L is the Father.

Report Error

View Answer Report Error Discuss

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

16 10025
Q:

45 men working 9 hours per day dig 40 m deep. How many extra men should be put to dig to a depth of 56 m working 7 hours per day ?

A) 36 B) 61
C) 48 D) 54
 
Answer & Explanation Answer: A) 36

Explanation:

(45 x 9)/40 = (M x 7)/56 => M = 81

=> 81 – 45 = 36

Report Error

View Answer Report Error Discuss

Filed Under: Time and Work
Exam Prep: AIEEE , Bank Exams , CAT , GATE
Job Role: Bank Clerk , Bank PO

6 10025
Q:

Sword : Slaughter : : Scalpel : ?

A) Chopping B) Surgery
C) Stab D) Murder
 
Answer & Explanation Answer: B) Surgery

Explanation:

Second denotes the purpose for which the first is used .

Report Error

View Answer Report Error Discuss

Filed Under: Analogy
Exam Prep: AIEEE , Bank Exams
Job Role: Analyst , Bank Clerk

32 10024