Arithmetical Reasoning Questions And Answers For Government Exam

Q-46. John and Khan start together from a particular point in the direction on opposite motorcycle. The speed of John is 25 km/ hr and Khan is 35 km/hr. What will be the distance between them after 15 minutes?

(a) 15 km (b) 20 km
(c) 5km (d) 10km

View Answer and Solution 
  
Answer: (a)
Solution:
Relative speed of John and Khan
= (25+35)/2 = 30 kmph
Distance covered in 15 minutes
= 60 × 15/60
= 15 km

Q-47. Two trains A and B running at 60 kmph and 40 kmph respectively in opposite directions from stations X and Y 200km apart will cross or collide at a moment exactly after.

(a) 1 hour and 30 minutes
(b) 3 hours and 20 minutes
(c) 2 hours
(d) 2 hours and 80 minutes

View Answer and Solution 
  
Answer: (c)
Solution:
The two trains are running in opposite directions.
The relative speed of the two trains
(60 + 40 ) kmph = 100 kmph
Time taken to cover 200 km
=200/100
= 2 hours

Q-48. The sum of a number and its reciprocal is \frac{17}{4} find the , 4 numbers.

(a) 4\frac{1}{2}
(b) 4\frac{1}{4}
(c) 3\frac{1}{3}
(d) 5\frac{1}{5}

View Answer and Solution 
  
Answer: (b)
Solution:
Suppose the number is F
Its reciprocal
=  \frac{1}{F} 
According to question.
 F +\frac{1}{F}= \frac{17}{4}= 4\frac{1}{4}= 4+\frac{1}{4}
=  4 , \frac{1}{4} 

Q-49. A father is 5 times as old as his son. His son is 6 years old. After how many years, will the father be 4 times as old as his son?

(a) 5 years (b) 6 years
(c) 4 years (d) 2 years

View Answer and Solution 
  
Answer: (d)
Solution:
Age of son = 6 years
Age of father = 6 × 5 = 30 years
After 2 years
Age of son = 6 + 2 = 8 years
Age of father
= 30 + 2 = 32 years
=32/8 = 4

Q-50. The average age of father and his son is 22 years. The ratio of their ages is 10 : 1 respectively. What is the age of the son?

(a) 24 (b) 4
(c) 40 (d) 14

View Answer and Solution 
  
Answer: (b)
Solution:
Suppose the age of son is Fyears
Therefore, age of father = 10F years
According to question,
 \frac{10F + F}{2}=22 
11F = 44
F = 4 years