Aptitude and Reasoning Questions

Q:

The banker's discount on Rs. 1650 due a certain time hence is Rs. 165. Find the true discount and the banker's gain.

A) 15 B) 20
C) 18 D) 13
 
Answer & Explanation Answer: A) 15

Explanation:

   Sum = [(B.D.xT.D.)/ (B.D.-T.D.)]

              = [(B.D.xT.D.)/B.G.]

T.D./B.G.  = Sum/ B.D.

   =1650/165

               =10

Thus, if B.G. is Re 1, T.D. = Rs. 10.

If B.D.is Rs. ll, T.D.=Rs. 10.

If B.D. is Rs. 165, T.D. = Rs. [(10/11)xl65]

            =Rs.150

 And, B.G. = Rs. (165 - 150) = Rs, 15.

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Filed Under: Banker's Discount

6 7313
Q:

Choose the number which is different from others in the group?

A) 183 B) 137
C) 121 D) 231
 
Answer & Explanation Answer: C) 121

Explanation:

121 is the only perfect square number in the group.

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Filed Under: Classification

37 7271
Q:

A mixture contains 25% milk and rest water. What percent of this mixture must taken out and replaced with milk so that in mixture milk and water may become equal. 

A) 31.8% B) 31%
C) 33.33% D) 29.85%
 
Answer & Explanation Answer: C) 33.33%

Explanation:

Now, take percentage of milk and applying mixture rule

25          100

       50

50            25  = 2 : 1

 

Hence required answer =  1/3 or 33.33%

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Filed Under: Alligation or Mixture
Exam Prep: AIEEE , Bank Exams , CAT
Job Role: Analyst , Bank Clerk , Bank PO

27 7264
Q:

A train runs through cities A, B, C, D, E, F, G and H. The line graph indicates the time schedule of the train including times of arrival and departure.

1. The total stoppage time at the cities in the first half and second half of the total distance is in the ratio.

1. 1 : 3             2. 3 : 1             3. 2 : 1             4. 1 : 2


2. Between how many pairs of consecutive stations does the speed run below the overall average speed of the entire trip?

1. 2                     2. 1                    3. 3                     4. 4


3. If the train stops at each city for 50% more time than what it is at present, then at what time will it arrive at city H after departing from city A as per schedule ?

1. 20.16             2. 19.02             3. 18.51             4. 18.59


4. The overall average speed of the entire trip excluding stoppage time is nearly :

1. 75 km/h        2. 81 km/h        3. 46 km/h        4. 65 km/hr


5. What percent of time of the entire trip was actually spent travelling between the cities ?

1. 91.8%             2. 7.6%             3. 76%               4. 24%

Answer

1. Answer : 4


Explanation : Required ratio = 10+2+510+15+10=173512=1:2 


 


2. Answer : 1


Explanation : 


A to B Speed =140×35  = 84  


B to C Speed = 91×34 = 68.25 


C to D Speed = 149×60103 = 86.796  


D to E Speed = 88×34 = 66  


E to F Speed =  106×45= 84.8  


F to G Speed = 1762 = 88  


G to h Speed =  110×45= 88  


Average speed of entire trip = 84+68.25+86.796+66+84.8+88+887 =80.83 


 


3. Answer : 3 


Explanation :  Total half time = 10 + 2 + 5 + 10 + 15 + 10 = 52 


Total half time, if the train stops at each city for 50% more=52×150100=78 


Train will arrive at city H after departing from city A = 18.25 + (78 - 52 )=18.25 + 26=18.51


 


4. Answer : 2 


 Explanation : Average speed = 84+68.25+86.796+66+84.8+88+887=80.83=81 km/hr


 


5. Answer : 1 


Explanation :  Required percentage of time = 1.40+1.20+1.43+1.20+1.15+2+1.1518.25-7×10010.2311.25×100 = 91.8 %

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Subject: Line Charts

10 7264
Q:

The mean of 100 observations is 40. It is found that an observation 84 was misread as 48. Then the correct mean is ?

A) 40.36 B) 41.24
C) 41.92 D) 42.05
 
Answer & Explanation Answer: A) 40.36

Explanation:

Given,

mean of 100 observations is 40

=> Total of 100 observations = 40 x 100 = 4000

84 is misread as 48

=> Difference = 84 - 48 = 36

=> Now, new total of 100 observations = 4000 + 36 = 4036

Correct Mean = 4036/100 = 40.36

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

17 7254
Q:

In a cinema hall for the matinee show which started at 2.30 pm and ended at 5.30 pm the vehicle parking lot had only three wheelers (auto rickshaws) and four wheelers. Today the wheels of the vehicles parked was counted and found to be 240. What could be the number of three wheelers parked therein ?

A) 48 B) 41
C) 45 D) 43
 
Answer & Explanation Answer: A) 48

Explanation:

3X + 4y = 240
by substitute through options 48 is correct

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Filed Under: Average
Exam Prep: AIEEE , Bank Exams , CAT
Job Role: Bank Clerk

5 7254
Q:

A rectangular lawn of dimensions 80 m x 60 m has two roads each 10 m wide running in the middle of the lawn, one parallel to the length and the other parallel to the breadth. What is the cost of traveling the two roads at Rs.3 per sq m ?

A) Rs. 3600 B) Rs. 3800
C) Rs. 3900 D) Rs. 3700
 
Answer & Explanation Answer: C) Rs. 3900

Explanation:

Area = (l + b – d) d

= (80 + 60 – 10)10

=> 1300 sq.mts

=> 1300 x 3 = Rs.3900

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

4 7251
Q:

If the radius of base and height of a cone are increased by 10%, find the percentage of increase of its volume

A) 33.5% B) 33.1%
C) 32.1% D) 53.1%
 
Answer & Explanation Answer: B) 33.1%

Explanation:

v1= 13πr12h1

 

v2=13πr22h2

 

% Increase in volume = (V2-V1) / (V2*100)

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Filed Under: Volume and Surface Area
Exam Prep: Bank Exams
Job Role: Bank PO

9 7245