Aptitude and Reasoning Questions

Q:

If y/(x - z) = (y + x)/z = x/y then find z : y : x ?

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

Explanation:

Given, y/(x - z) = (y + x)/z = x/y
yz = xy + x2 - yz - xz ....(1)
Also xy = yx-z x2 -xz = y2 ....(2)
Using (1) and (2), we get yz = xy - yz + y2
2yz = xy + y2
2z = x + y
Only option (B) satisfies the equation.

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Filed Under: Ratios and Proportions
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Q:

Find x if 

log1218 = log24x + 1. log24x+1 + 4

A) 0 B) 1
C) 2 D) None of these
 
Answer & Explanation Answer: A) 0

Explanation:

By trial and error method, when we substitute 

x = 0

Both LHS and RHS are equal.

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Filed Under: Logarithms
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24 11436
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

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Q:

FRIEND : FPIBNZ :: PATRON : ? 

A) PTYOPI B) PYTOPJ
C) PYTOOJ D) PYTPOJ
 
Answer & Explanation Answer: C) PYTOOJ

Explanation:

FRIEND : FPIBNZ

Follows a pattern that,

F - F

R- second letter to left of R i.e, P

I - I

E - Third letter to left of E i.e, B

N - N

D - Fourth letter to left of D i.e, Z

Similarly, for PATRON 

P - P

A -  second letter to left of A i.e, Y

T - T

R - Third letter to left of R i.e, O

O - O

N - Fourth letter to left of N i.e, J

PATRON : PYTOOJ

 

Therefore, FRIEND : FPIBNZ :: PATRON : PYTOOJ

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46 11420
Q:

From a total of six men and four ladies a committee of three is to be formed. If Mrs. X is not willing to join the committee in which Mr. Y is a member, whereas Mr.Y is willing to join the committee only if Mrs Z is included, how many such committee are possible?

A) 91 B) 104
C) 109 D) 98
 
Answer & Explanation Answer: A) 91

Explanation:

We first count the number of committee in which

(i). Mr. Y is a member
(ii). the ones in which he is not

Case (i): As Mr. Y agrees to be in committee only where Mrs. Z is a member.
Now we are left with (6-1) men and (4-2) ladies (Mrs. X is not willing to join).

We can choose 1 more in5+2C1=7 ways.

Case (ii): If Mr. Y is not a member then we left with (6+4-1) people.
we can select 3 from 9 in 9C3=84 ways.

Thus, total number of ways is 7+84= 91 ways.

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10 11419
Q:

Find the cost of 96 shares of Rs. 10 each at 34 discount, brokerage being 1/4 per share.

A) 912 B) 921
C) 920 D) 900
 
Answer & Explanation Answer: A) 912

Explanation:

Cost of 1 share  =Rs.10-34+14=Rs192  

 

Cost of 96 shares  = Rs.192*96 = Rs. 912.

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Filed Under: Stocks and Shares

7 11419
Q:

The following question consist of two words each that have a certain relationship to each other, followed by lettered pairs of words . Select the lettered pair that has the same relationship as the original pair of words. 

Proscenium : Stage

A) Lamp : Table B) Lines : Bed
C) Portico : House D) Compass : Needle
 
Answer & Explanation Answer: C) Portico : House

Explanation:

First is a part of the second.

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Filed Under: Analogy

44 11409
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
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