Aptitude and Reasoning Questions

Q:

5 years ago, the mother's age was 3 times of her son's age. 5 years hence, the ratio between the ages of mother and the son becomes 11:5. Find the mother's present age?

Answer

Let the present age's of mother be 'M' and that of her son be 'S'.


According to the given data in the question,


M - 5 = 3(S - 5)


F - 3S = -10  ...............(1)


Then given ,


M + 5 : S + 5 = 11 : 5 


=> 5M - 11S = 30 ..............(2)


 


From (1) & (2), we get


S = 20


Then by substituting S = 20 in (1) or (2), we get


M = 50.


 


Hence, the present age of mother is M = 50 years.

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Subject: Problems on Ages Exam Prep: AIEEE , Bank Exams , CAT , GATE
Job Role: Analyst , Bank Clerk , Bank PO

7 5487
Q:

Which of the following year is a leap year?

A) 2500 B) 1700
C) 1900 D) 2400
 
Answer & Explanation Answer: D) 2400

Explanation:

NOTE: For a century year,it is divided by 400 and leaving a ramainder of 0 results a leap year.

So,2400 when divided by 400 leaves a remainder 0.

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Filed Under: Calendar

7 5484
Q:

Two payments of $10,000 each must be made one year and four years from now. If money can earn 9% compounded monthly, what single payment two years from now would be equivalent to the two scheduled payments?

A) 19296 B) 19396
C) 19496 D) 19596
 
Answer & Explanation Answer: A) 19296

Explanation:

The single equivalent payment will be PV + FV.
FV = Future value of $10,000, 12 months later
 $10,000 *(1.0075)/12
 $10,938.07
PV=  Present value of $10,000, 24 months earlier
 $10,000/(1.0075)24
 $8358.31
The equivalent single payment is
$10,938.07 + $8358.31 = $19,296.38

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

2 5480
Q:

Choose the alternative that will continue the same pattern and replace 'x' 33,40,37,44,x

A) 41 B) 31
C) 42 D) 39
 
Answer & Explanation Answer: A) 41

Explanation:
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Filed Under: Number Series

4 5477
Q:

How many seconds will a 800 meter long train moving with a speed of 63 km/hr take to cross a man walking with a speed of 3 km/hr in the direction of the train ?

A) 48 B) 52
C) 38 D) 42
 
Answer & Explanation Answer: A) 48

Explanation:

Here distance d = 800 mts

speed s = 63 - 3 = 60 kmph = 60 x 5/18 m/s

time t = 800x1860x5= 48 sec.

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Filed Under: Time and Distance
Exam Prep: GATE , CAT , Bank Exams , AIEEE
Job Role: Bank PO , Bank Clerk

3 5471
Q:

A man reads 3/7 of a book on a day and 2/5 of the remaining, on the second day. If the number of pages still unread are 36, how many pages did the book contain ?

A) 105 B) 101
C) 98 D) 109
 
Answer & Explanation Answer: A) 105

Explanation:

Let number of pages in a book = p

According to questions

p - [3p/7 + (2/5 x 4p/7)] = 36

= p - 23p/35 = 36

=> 12p = 36 × 35

p = 105

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Filed Under: Percentage
Exam Prep: AIEEE , Bank Exams , CAT , GATE
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10 5469
Q:

A standard deck of playing cards has 13 spades. How many ways can these 13 spades be arranged?

A) 13! B) 13^2
C) 13^13 D) 2!
 
Answer & Explanation Answer: A) 13!

Explanation:

The solution to this problem involves calculating a factorial. Since we want to know how 13 cards can be arranged, we need to compute the value for 13 factorial.

 

13! = (1)(2)(3)(4)(5)(6)(7)(8)(9)(10)(11)(12)(13) = 6,227,020,800

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2 5469
Q:

A rectangular field is to be fenced on three sides leaving a side of 20 feet uncovered. If the area of the field is 680 sq. feet, how many feet of fencing will be required?

A) 34 B) 40
C) 68 D) 88
 
Answer & Explanation Answer: D) 88

Explanation:

We have: l = 20 ft and lb = 680 sq. ft.

So, b = 34 ft.

Length of fencing = (l + 2b) = (20 + 68) ft = 88 ft.

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2 5469