Aptitude and Reasoning Questions

Q:

Three numbers are in the ratio of 3:4:5 and their L.C.M is 3600.Their HCF is:

A) 40 B) 60
C) 100 D) 120
 
Answer & Explanation Answer: B) 60

Explanation:

Let the numbers be 3x, 4x, 5x.

 

Then, their L.C.M = 60x.

 

So, 60x=3600 or x=60.

 

Therefore,  The numbers are (3 x 60), (4 x 60), (5 x 60).

 

Hence,required H.C.F=60

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Filed Under: HCF and LCM
Exam Prep: CAT
Job Role: Bank PO

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Q:

Joel introduces Mary as the daughter of the only son of my father’s wife. How is Joel related to Mary ?

A) Daughter B) Brother
C) Son D) Father
 
Answer & Explanation Answer: D) Father

Explanation:

Resolving from the last , In the view of joel,
My father’s wife – mother
Only son of mother – himself i.e. joel
Daughter of john– daughter.

So Joel is Father of Mary.

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

29 12476
Q:

8 years ago there were 5 members in the Arthur's family and then the average age of the family  was 36 years. Mean while Arthur got married and gave birth to a child. Still the average age of his family is same now. What is the age of his wife at the time of his child's birth was.If the difference between the age of her  child and herself was 26 years.

A) 25 years B) 26 years
C) 20 years D) can't be determined
 
Answer & Explanation Answer: B) 26 years

Explanation:

Since we know that the difference b/w the age of any two persons remains always constant, while the ratio of their ages gets changed as the time changes.

 

so, if the age of his child be x (presently)

 

Then the age of  wife be x + 26 (presently)

 

Thus the total age = x + ( x + 26) = 32  [252-220 =32]

=> x = 3

Therefore, The age of her child is 3 years and her self  is 29 years. Hence her age at the time of the birth of her child was 26 years.

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Filed Under: Average

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Q:

The area of a field in the shape of a trapezium measures 1440sq m. The perpendicular distance between its parallel sides is 24cm. If the ratio of the sides is 5:3, the length of the longer parallel side is:

A) 75 B) 85
C) 95 D) 105
 
Answer & Explanation Answer: A) 75

Explanation:

Area of field = 12*5x+3x*24 = 96x sq.m  

96x = 1440       => x =144096 = 15  

Hence, the length of longer parallel side = 5x = 75m

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Filed Under: Area
Exam Prep: Bank Exams
Job Role: Bank PO

7 12458
Q:

Srinivas bought 10 cycles for Rs. 1,750 each. He sold 4 cycles for Rs 8,400, 3 for Rs 1900 each . At what price should he sell the remaining cycles so as to earn an average profit of Rs 320 per cycle ?

A) Rs. 1580 B) Rs. 2200
C) Rs. 1785 D) Rs. 1950
 
Answer & Explanation Answer: B) Rs. 2200

Explanation:

He sold 4 cycles for Rs. 8400
[It means each cycle price is Rs. 2100]
And again he sold 3 cycles for Rs. 1900 each
If he want to gain avg profit on each cycle is Rs. 320 per cycle.
So profit for 10 cycles is @ Rs.320 is,
10 x 320 = Rs. 3200
He already got Rs. 1850 profit by selling 7 cycles.
Now, remaining amount is 3200 - 1850 = 1350
So from remaining 3 cycles we want to get Rs. 1350 profit ,
1350/3 = 450
so he must sell remaining 3 cycles at Rs. 2200 each one.

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Filed Under: Problems on Numbers
Exam Prep: Bank Exams , CAT
Job Role: Bank Clerk

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Q:

At an examination in which maximum marks are 500. P got 10% less than Q, Q got 25% more than R and R got 20% less than S. If P got 360 marks what percentage of marks was obtained by S ?

A) 77 B) 74
C) 80 D) 83
 
Answer & Explanation Answer: C) 80

Explanation:

Let marks obtained by S = M

R's marks = 0.80M

Q's marks = 1.25 (0.80M)

P's marks = (0.90) (1.25) (0.80M)

= 0.9M

But 0.9M = 360

M = ?

M = 400

Hence % of marks obtained by S

= 400/500 x 100 = 80%.

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

11 12454
Q:

The perimeter of a square is 40 meters. Find the length of one side of the square

A) 10m B) 20m
C) 30m D) 40m
 
Answer & Explanation Answer: A) 10m

Explanation:

P = 4 x s

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Filed Under: Area
Exam Prep: Bank Exams
Job Role: Bank PO

17 12453
Q:

The sum of first 45 natural numbers is:

Answer

The sum of n natural numbers 

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Subject: Numbers

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