Aptitude and Reasoning Questions

Q:

How many three digit numbers 'abc' are formed where two of the three digits are same ?

A) 252 B) 648
C) 243 D) 900
 
Answer & Explanation Answer: C) 243

Explanation:

Digits are 0,1,2,3,4,5,6,7,8,9. So no. of digits are 10

 

First all possible case => 9(0 excluded) x 10 x 10 = 900

 

Second no repetition allowed =>9 x 9 x 8 = 648

 

Third all digits are same => 9 (111,222,333,444,555,666,777,888,999)

 

Three digit numbers where two of the three digits are same = 900 - 648 - 9 = 243 ;

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Filed Under: Permutations and Combinations
Exam Prep: GATE , CAT , Bank Exams , AIEEE
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4 8183
Q:

Three men, four women and six children can complete a work in 9 days. A women does  double the work a man does and a child does half the work a man does. How many women alone can complete this work in 9 days?

A) 7 B) 8
C) 9 D) 6
 
Answer & Explanation Answer: A) 7

Explanation:

Given (3 Men + 4 Women + 6 Children) -----> 9 days

But W = 2M and C = M/2

Now, convert Men and Children into Women by

3W2 + 4W + 6W4=> 32 + 4 + 32 = 7 Women 

Therefore, 7 women alone can complete this work in 9 days.

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12 8177
Q:

In a mixture, the ratio of juice and water is 4 : 3. By adding 6 litre water the ratio of juice and water will be 8 : 7. What is the amount of juice in the original mixture ?

A) 38 lit B) 96 lit
C) 48 lit D) 52 lit
 
Answer & Explanation Answer: C) 48 lit

Explanation:

Let the amount of juice and water in original mixture '4x' litre and '3x' litre respectively.

According to given data,

4x/3x+6 =8/7

28x=24x+48

28x–24x=48

4x = 48

x = 12

Amount of juice = 4x = 4×12 = 48 litre.

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Filed Under: Alligation or Mixture
Exam Prep: AIEEE , Bank Exams , CAT , GATE
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7 8176
Q:

If it is possible to make a meaningful word from the second, the seventh, the ninth and the eleventh letters of the word ORGANISATION using each letter only once, then which will be the third letter of that word ? If no such word can be formed, your answer would be 'X' and if more than one such words can be formed, your answer would be 'M' ?

A) T B) R
C) M D) X
 
Answer & Explanation Answer: B) R

Explanation:

The second, seventh, ninth and eleventh letters of the word ORGANISATION are R, S, T and O respectively. Clearly, only one word can be formed using these letters,
which is SORT. The third letter in SORT is R.

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Filed Under: Alphabet Test
Exam Prep: Bank Exams , CAT
Job Role: Bank Clerk , Bank PO

12 8172
Q:

The average age of a couple and their son was 40 years, the son got married and a child was born just two years after their marriage. When child turned to 10 years, then the average age of the family becomes 38 years. What was the age of the daughter in law at the time of marriage ?

A) 12 years B) 10 years
C) 14 years D) 13 years
 
Answer & Explanation Answer: A) 12 years

Explanation:

Given the average age of couple and their son = 40

=> Sum of age (H +W +S) = 40×3

Let the age of daughter in law at the time of marriage = D years

Now after 10 years,

(H + S +W) + 3×12 + D +12 + 10 = 38×5

178 + D = 190

D = 190 -178 = 12 years

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Filed Under: Problems on Ages
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13 8171
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

11 8166
Q:

Three of the following four are alike in a certain way and hence form a group. Which is the one that does not belong to that group?

A) Clove B) Cinnamon
C) Pepper D) Apricot
 
Answer & Explanation Answer: D) Apricot

Explanation:

An apricot is a fruit while others are spices.

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Filed Under: Classification

38 8165
Q:

If the simple interest on a sum of money for 2 years at 5% per annum is Rs. 50, what is the compound interest on the same at the same rate and for the same time?

A) Rs.51.25 B) Rs.52
C) Rs.53 D) Rs.54
 
Answer & Explanation Answer: A) Rs.51.25

Explanation:

Sum =Rs.(50 x 100/2x5)

= Rs. 500.

Amount

=[Rs.500x(1+5/100)²]

=Rs(500x21/20x21/20).

=Rs. 551.25

 

C.I

= Rs. (551.25 - 500)

= Rs. 51.25

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

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