Aptitude and Reasoning Questions

Q:

The ratio of the speed of Two trains is 5:8. Sum of their length is 660. The ratio of time taken to cross an Electric Pole by train A and B is 4:3. What is the difference between the length of two trains?

A) 50m B) 40m
C) 60m D) 45m
 
Answer & Explanation Answer: C) 60m

Explanation:

Ans.
Given that length of first train + length of second train = 660
Speed of first train : Speed of second train = 5:8 =5x : 8x
Time taken to cross the poll by two trains = 4:3 =4y:3y
Now ,
(5x*4y) + (8x*3y) = 660
44xy = 660
xy = 15
L1 - L2 = 24xy -20xy = 4xy = 60 m

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Filed Under: Problems on Trains
Exam Prep: AIEEE , Bank Exams , GATE

2 4507
Q:

In the following question, select the related word from the given alternatives. Player : Team : : Minister : ?

A) Army B) Troupe
C) Council D) Crowd
 
Answer & Explanation Answer: C) Council

Explanation:
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Filed Under: Analogy

0 4505
Q:

Kashundra Jones plans to make a lump sum deposit so that she can withdraw $3,000 at the end of each quarter for 10 years. Find the lump sum if the money earns 10% per year compounded quarterly

A) 75263.64 B) 76345
C) 76389 D) 56897
 
Answer & Explanation Answer: A) 75263.64

Explanation:

 

 

A=R[(1+i)^n-1]/i(1+i)^n

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Filed Under: Compound Interest
Exam Prep: Bank Exams
Job Role: Bank PO

0 4505
Q:

The difference between a number and its three-iflh is 50. What is the number ?

A) 75 B) 100
C) 125 D) 150
 
Answer & Explanation Answer: C) 125

Explanation:

Let the number be x. Then, x - 3x/5 = 50  <=>  x = (50 * 5) / 2 = 125..

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Filed Under: Problems on Numbers

0 4504
Q:

A alone can do a work in 20 days. B is 125% more efficient than A. A and B started working and worked for 4 days. If C alone completed the remaining job in 22 days. How many days C alone takes to complete the entire job?

A) 30 B) 35
C) 40 D) 42
 
Answer & Explanation Answer: C) 40

Explanation:
A alone can do = 20days 
 
Efficiency ratio of A & B= 4 : 5

Time required will be in ratio = 5:4

B alone will do it in =16 days

LCM of (16,20)= 80 ,
 
Assume work size of 80 units

 

1 day work of A= 4 units 1 day work of B= 5 units

 

Work done by both in 4 days= 4*(5+4)= 36 units

 

Work left= 80-36= 44 units

 

Now C takes 22 days to complete= 44 units.

 

Time taken by C alone to complete the work= 40 days
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Filed Under: Time and Work
Exam Prep: Bank Exams

0 4500
Q:

What is the value of 28 tens?

A) 28 B) 2
C) 2800 D) 280
 
Answer & Explanation Answer: D) 280

Explanation:

Here asked for the value of 28 tens

=> 28 x 10 = 280.

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Filed Under: Arithmetical Reasoning
Exam Prep: AIEEE , Bank Exams , CAT , GATE
Job Role: Analyst , Bank Clerk , Bank PO

2 4495
Q:

Two trains running in opposite directions cross a pole placed on the platform in 47 seconds and 31 seconds respectively. If they cross each other in 33 seconds, what is the ratio of their speeds?

A) 1:7 B) 7:1
C) 2:3 D) 3:2
 
Answer & Explanation Answer: A) 1:7

Explanation:

Let the speed of the trains be x and y respectively
length of train1 = 47x
length of train2 = 31y
Relative speed= x + y
Time taken to cross each other = 33 s
=> 47x+31yx+y= 33
=> (47x + 31 y) = 33(x + y)
=> 14x = 2y
=> x/y = 2/14 = 1/7

 = 1:7

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

4 4488
Q:

Find the number of triangles in the given figure.

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

Explanation:

  

The simplest triangles are ABG, BCG, CGE, CDE, AGE and AEF i.e. 6 in number.

The triangles composed of two components each are ABE, ABC, BCE and ACE i.e. 4 in number.

There are 6 + 4 = 10 triangles in the figure.

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Filed Under: Analytical Reasoning

33 4488