Aptitude and Reasoning Questions

Q:

A person says that his son is 5 times as old as his daughter and his wife is 5 times older than his son and he is twice the age of his wife . The sum total of all the ages equals the age of the grand mother who celebrated her 81st birthday today. How old was his son?

A) 50 yrs B) 25 yrs
C) 72 yrs D) 40 yrs
 
Answer & Explanation Answer: A) 50 yrs

Explanation:

Let the daughter age be 'x'
Therefore, Son age = 5x, Mother age = 25x, Person age = 50x.

Thus we get, x+5x+25x+50x = 81
81x = 81
x = 1

Daughter's age = 1, Son's = 5, Mother's = 25, Person's age = 50.

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Filed Under: Problems on Ages
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Q:

What was the day on 25th Jan,1981?

A) Monday B) Friday
C) Sunday D) Tuesday
 
Answer & Explanation Answer: C) Sunday

Explanation:

25 Jan, 1981 = (1980 years + Period from 1.1.1981 to 25.1.1981)

 

Odd days in 1600 years = 0

Odd days in 300 years = 1

80 years = (60 ordinary years + 20 leap year) = (60 x 1 + 20 x 2)= 2 odd days

Jan = 25 days = (3 weeks + 4 days) = 4 odd days.

 

Total number of odd days = (0 + 1 + 2 + 4) = 7= 0 odd day.

Given day is Sunday.

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Filed Under: Calendar

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Q:

At an examination in which maximum marks are 500. K got 10% less than L, L got 25% more than M and M got 20% less than N. If K got 360 marks what percentage of marks was obtained by N ?

A) 80 B) 87
C) 78 D) 76
 
Answer & Explanation Answer: A) 80

Explanation:

Let marks obtained by N = x

M's marks = 0.80x

L's marks = 1.25 (0.80x)

K's marks = (0.90) (1.25) (0.80x)

= 0.9x

But 0.9x = 360 ⇒ x = 400

Percentage of Marks obtained by N

= 400 x 100/500 = 80%

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Filed Under: Percentage
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7 6628
Q:

Ten years ago, A was half of B in age. If the ratio of their present ages is 3:4, then what will be the total of their present ages?

Answer

Let A's age 10 years ago be x years 


Then B's age 10 years ago  be 2x yeats


\inline \Rightarrow \frac{x+10}{2x+10}=\frac{3}{4}


\inline \Rightarrow 4(x+10)=3(2x+10)


\inline \Rightarrow x=5


\inline \therefore Total of their present ages =                                        


                                          = 


                                          = 35 years

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Subject: Problems on Ages

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Q:

Raju sold an article by giving a discount of 8% for Rs. 17,940 and earn profit of 19.6 %. If he did not give discount then how much profit percentage he gets ?

A) 27% B) 30%
C) 32% D) 25%
 
Answer & Explanation Answer: B) 30%

Explanation:
Let the M.R.P of an article be 100 %
 
Selling price of article =Rs. 17940
 
If he give a discount of 8 % then S.P = 92 %
92 % = 17490
100 % = 19500
 
Now C.P of the article is 
 
17490 x 100/119.6 = 15000
 
If he did not give the discount, then 
 
Required profit percentage = 
 
SSC Quiz : Quantitative Aptitude  | 03 - 08 - 17
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Filed Under: Profit and Loss
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15 6606
Q:

Which value is equal to 5% of 1,500?

A) 35 B) 55
C) 75 D) 45
 
Answer & Explanation Answer: C) 75

Explanation:

In the question it is asked for 5% of 1500

5 x 1500/100 = 15 x 5 = 75.

 

Hence, 5% of 1,500 is equal to 75.

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10 6603
Q:

Den Bosch and Eastbourne are two famous cities 300 km apart. Maradona starts from Den Bosch at 8:24 am . An hour later pele starts from Den Bosch. After travelling for 1 hour , Pele reaches Nottingham that Maradona had passed 40 minutes earlier. Nottingham falls on the way from Den Bosch to Eastbourne. If pele and Maradona just reaches  Eastbourne at the same time, what are thespeeds of the Maradona and Pele Respectively? 

A) 100 km/h , 125 km/h B) 60 km/h , 80 km/h
C) 60 km/h , 75 km/h D) 75 km/h , 100 km/h
 
Answer & Explanation Answer: D) 75 km/h , 100 km/h

Explanation:

Let Pele x km in 1 hour. so Maradona takes (2h-40min)=1 h 20 min to cover x km. Let speed of Maradona and Pele be M and P respectively than 

                            x =M x (4/3)  and x= P x 1

  => M/P = 3/4 

 Again      300M=300P=1

3003k-3004k=1 

 => k= 25

  M= 3k = 75 km/h   and   P= 4k = 100 km/h 

( Through options it is very easy to solve)

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Filed Under: Time and Distance

9 6603
Q:

Multiplicative inverse of 0

A) 0 B) 1
C) infinity D) None of the above
 
Answer & Explanation Answer: D) None of the above

Explanation:

In the real numbers, zero does not have a reciprocal because no real number multiplied by 0 produces 1 (the product of any number with zero is zero).

 

Hence, 0 doesn't have any multiplicative inverse.

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Filed Under: Arithmetical Reasoning
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