Aptitude and Reasoning Questions

Q:

The least number which when divided by 5, 6, 7 and 8 leaves a remainder 3, but when divided by 9 leaves no remainder, is

A) 1677 B) 1683
C) 2523 D) 3363
 
Answer & Explanation Answer: B) 1683

Explanation:

 L.C.M of 5, 6, 7, 8 = 840

 

Therefore, Required Number is of the form 840k+3.

 

Least value of k for which (840k+3) is divisible by 9 is k = 2 

 

Therefore, Required  Number = (840 x 2+3)=1683

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Filed Under: HCF and LCM

38 11847
Q:

5% of a number is 25% more than another number. The difference between the numbers is 96. Then find the value of the numbers?

A) 102 & 6 B) 99 & 3
C) 104 & 8 D) 100 & 4
 
Answer & Explanation Answer: D) 100 & 4

Explanation:

Let the first number be x and the second number be y.

Given

5% of x = (25% of y) + y

=> 5x/100 = 5y/4

=> x = 25y ......(1)

and also given that, x - y = 96

=> x = 96 + y .....(2)

From (1)&(2)

25y = 96 + y

=> 24y = 96

=> y = 4

From (1)

x = 96 + 4 = 100

Hence, the numbers are 100 & 4.

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

15 11842
Q:

If LBAEHC is the code for BLEACH then which of the following is coded as NBOLZKMH?

A) OBNKZLHM B) LOBNHMKZ
C) OCPMALNI D) BNLOKZHM
 
Answer & Explanation Answer: D) BNLOKZHM

Explanation:

The word if formed into pairs of letters and the letters in each pair are reversed

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Filed Under: Coding and Decoding

38 11826
Q:

If the price of a commodity is decreased by 20% and its consumption is increased by 10%, what will be the increase or decrease in the expenditure on the commodity?

A) increase 12% B) decrease 12%
C) increase 16% D) decrease 16%
 
Answer & Explanation Answer: B) decrease 12%

Explanation:

Given the price of a commodity is decreased by  p = 20%

And its consumption is increased by q = 10%

Now, required increase or decrease in the expenditure on the commodity can be 

p + q + pq/100 = -20 + 10 - 200/100 = -10 - 2 = -12%.

 

Hence, decrease in the expenditure = 12%

 

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Filed Under: Percentage
Exam Prep: AIEEE , Bank Exams , CAT , GATE
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8 11820
Q:

Study the following line graph and answer the questions based on it.

Number of Vehicles Manufactured by Two companies ove the Years (Number in Thousands)

 

1. What is the difference between the number of vehicles manufactured by Company Y in 2000 and 2001 ?

A. 50000                   B. 42000                   C. 33000                   D. 21000

 

2. What is the difference between the total productions of the two Companies in the given years ?

A. 19000                   B. 22000                   C. 26000                   D. 28000

 

3. What is the average numbers of vehicles manufactured by Company X over the given period ? (rounded off to nearest integer)

A. 119333                 B. 113666                 C. 112778                 D. 111223

 

4. In which of the following years, the difference between the productions of Companies X and Y was the maximum among the given years ?

A. 1997                     B. 1998                     C. 1999                     D. 2000

 

5. The production of Company Y in 2000 was approximately what percent of the production of Company X in the same year ?

A. 173                       B. 164                       C. 132                       D. 97

Answer

1. ANSWERS  : D  


Explanation-   Required difference = (128000 - 107000) = 21000.


 


2. ANSWERS  : C  


Explanation-  From the line-graph it is clear that the productions of Company X in the   years 1997, 1998, 1999, 2000, 2001 and 2002 are 119000, 99000, 141000, 78000, 120000 and 159000 and those of Company Y are 139000, 120000,100000, 128000, 107000 and 148000 respectively. 


Total production of Company X from 1997 to 2002 


= 119000 + 99000 + 141000 + 78000 + 120000 + 159000 


= 716000. 


and total production of Company Y from 1997 to 2002 


= 139000 + 120000 + 100000 + 128000 + 107000 + 148000 


= 742000. 


Difference = (742000 - 716000) = 26000.


 


3. ANSWERS  : A 


Explanation-  Average number of vehicles manufactured by Company X  


16×119000+99000+141000+78000+120000+159000 


 = 119333.


 


4. ANSWERS  : D  


Explanation-   The difference between the productions of Companies X and Y in various years are: 


 For 1997 (139000 - 119000)  = 20000. 


 For 1998 (120000 - 99000)  = 21000. 


 For 1999 (141000 - 100000)  = 41000. 


 For 2000 (128000 - 78000) = 50000. 


 For 2001 (120000 - 107000) = 13000. 


 For 2002 (159000 - 148000) = 11000. 


 Clearly, maximum difference was in 2000.


 


5. ANSWERS  :  B


Explanation  - Required percentage= 12800078000×100 % = 164%

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Subject: Line Charts

22 11807
Q:

Wax : Grease :: Milk : ?

A) Protein B) Drink
C) Ghee D) Curd
 
Answer & Explanation Answer: D) Curd

Explanation:

First is used to prepare the second.

Hence, Wax : Grease :: Milk : Curd.

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Filed Under: Analogy
Exam Prep: AIEEE , Bank Exams , CAT
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19 11804
Q:

In the following question, select the missing number from the given series.

 

13, 16, 20, 23, 27, ?

 

A) 30   B) 29  
C) 31   D) 33
 
Answer & Explanation Answer: A) 30  

Explanation:
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Filed Under: Number Series
Exam Prep: Bank Exams

1 11803
Q:

A room is 6 meters 24 centimeters in length and 4 meters 32 centimeters in Width. Find the least number of square tiles of equal size required to cover the entire floor of the room.

A) 107 B) 117
C) 127 D) 137
 
Answer & Explanation Answer: B) 117

Explanation:

Let us calculate both the length and width of the room in centimeters.

Length = 6 meters and 24 centimeters = 624 cm

width = 4 meters and 32 centimeters = 432 cm

As we want the least number of square tiles required, it means the length of each square tile should be as large as possible.Further,the length of each square tile should be a factor of both the length and width of the room.

Hence, the length of each square tile will be equal to the HCF of the length and width of the room = HCF of 624 and 432 = 48

Thus, the number of square tiles required = (624 x 432 ) / (48 x 48) = 13 x 9 = 117

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Filed Under: HCF and LCM

20 11800