Aptitude and Reasoning Questions

Q:

Jay wants to buy a total of 100 plants using exactly a sum of Rs 1000. He can buy Rose plants at Rs 20 per plant or marigold or Sun flower plants at Rs 5 and Re 1 per plant respectively. If he has to buy at least one of each plant and cannot buy any other type of plants, then in how many distinct ways can Jay make his purchase?

A) 3 B) 6
C) 4 D) 2
 
Answer & Explanation Answer: A) 3

Explanation:

Let the number of Rose plants be ‘a’.
Let number of marigold plants be ‘b’.
Let the number of Sunflower plants be ‘c’.
20a+5b+1c=1000; a+b+c=100

 

Solving the above two equations by eliminating c,
19a+4b=900

b = (900-19a)/4 

b = 225 - 19a/4----------(1)


b being the number of plants, is a positive integer, and is less than 99, as each of the other two types have at least one plant in the combination i.e .:0 < b < 99--------(2)

Substituting (1) in (2),

 0 < 225 - 19a/4 < 99

225 <  -19a/4 < (99 -225)

=> 4 x 225 > 19a > 126 x 4

=> 900/19 > a > 505

 

a is the integer between 47 and 27 ----------(3)
From (1), it is clear, a should be multiple of 4.


Hence possible values of a are (28,32,36,40,44)


For a=28 and 32, a+b>100
For all other values of a, we get the desired solution:
a=36,b=54,c=10
a=40,b=35,c=25
a=44,b=16,c=40


Three solutions are possible.

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2 6822
Q:

Identify the diagram that best represents the relationship among the given classes.

Prime Minister, Chief Minister, Governor, State

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

Explanation:
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Filed Under: Logical Venn Diagram
Exam Prep: Bank Exams

5 6820
Q:

Find the area of a square, one of whose diagonals is 3.8 m long.

A) 4.22 sq.m B) 5.22 sq.m
C) 6.22 sq.m D) 7.22 sq.m
 
Answer & Explanation Answer: D) 7.22 sq.m

Explanation:

Area of the square = 12×diagonal2=  1/2 * 3.8 * 3.8 = 7.22 sq.m

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

2 6811
Q:

If all the letters in the word  MERCIFUL are rearranged in alphabetical order and substituted by the alphabet preceding them in the English alphabet. What will be the new arrangement of letters?

A) BDHEKLQT B) BDEHKLQT
C) BDEHLKQT D) BDEJMLQT
 
Answer & Explanation Answer: B) BDEHKLQT

Explanation:

MERCIFUL   =>   CEFILMRU   => BDEHKLQT

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Filed Under: Alphabet Test

8 6810
Q:

A family consists of six members P, Q, R, X, Y and Z. Q is the son of R but R is not mother of Q. P and R are a married couple. Y is the brother of R. X is the daughter of P. Z is the brother of P. Who is the brother-in-law of R ? 

A) P B) Z
C) Y D) X
 
Answer & Explanation Answer: B) Z

Explanation:

Q is the son of R but R is not the mother. So, R is the Father of Q. P is married to R 

So, P is the wife of R and the mother of Q, X is the daughter of P and hence of R and so she is the Sister of Q, Y is the brother of R and Z is the brother of P. 

It is the husband of P and Z 13 the brother of P So, Z Is the brother-In-law of R 

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Filed Under: Blood Relations

9 6803
Q:

Answer the questions based on the following bar chart

 

The following bar chart shows the trends of mutual funds investments into India from all over the world.

 

 

If India mutual funds investments from countries was proportionately the same in 1992 and 1997 as the total funds investments from all over the world and if the mutual funds investments in 1992 from the countries was Euro 2 million. What was the amount of mutual funds investments from the countries in 1997?

A) 11 B) 0.72
C) 11.28 D) 11.5
 
Answer & Explanation Answer: A) 11

Explanation:
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Filed Under: Bar Charts
Exam Prep: Bank Exams

0 6801
Q:

If the sum of two numbers is 55 and the H.C.F. and L.C.M. of these numbers are 5 and 120 respectively, then the sum of the reciprocals of the numbers is equal to ?

A) 13/125 B) 14/57
C) 11/120 D) 16/41
 
Answer & Explanation Answer: C) 11/120

Explanation:

Let the numbers be a and b.
We know that product of two numbers = Product of their HCF and LCM
Then, a + b = 55 and ab = 5 x 120 = 600.
=> The required sum = (1/a) + (1/b) = (a+b)/ab
=55/600 = 11/120

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Filed Under: HCF and LCM
Exam Prep: AIEEE , Bank Exams , CAT
Job Role: Bank Clerk , Bank PO

23 6798
Q:

Indicating to a photo, Mukesh said that this Man’s son is my father’s son. Who was there in the photo ?

A) Mukesh Uncle B) Mukesh Brother
C) Mukesh Grandfather D) Mukesh Father
 
Answer & Explanation Answer: D) Mukesh Father

Explanation:

That man's son means Mukesh

=> Mukesh father's son is Mukesh

=> It is Mukesh's father.

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

43 6785