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Arithmetic Reasoning - General Inteligence & Reasoning MCQ Questions and Answers

Learn Arithmetic Reasoning mcq questions and answers with easy and logical explanations - Arithmetic Reasoning is part of competitive reasoning mcq questions. Page-4 section-1

31
A is three times as old as B. C was twice-as old as A four years ago. In four years' time, A will be 31. What are the present ages of B and C ?
Discuss
Answer & Solution
Answer: Option B
Solution:
We have : A = 3B ...(i) and
C - 4 = 2 (A - 4) ...(ii)
Also, A + 4 = 31 or A= 31-4 = 27.
Putting A = 27 in (i), we get: B = 9.
Putting A = 27 in (ii), we get C = 50.
32
Today is Varun's birthday. One year, from today he will be twice as old as he was 12 years ago. How old is Varun today ?
Discuss
Answer & Solution
Answer: Option C
Solution:
Let Varan's age today = x years.
Then, Varan's age after 1 year = (x + 1) years.
Therefore x + 1 = 2 (x - 12) ⇔ x + 1 = 2x - 24 ⇔ x = 25.
33
A bird shooter was asked how many birds he had in the bag. He replied that there were all sparrows but six, all pigeons but six, and all ducks but six. How many birds he had in the bag in all?
Discuss
Answer & Solution
Answer: Option A
Solution:
There were all sparrows but six' means that six birds were not sparrows but only pigeons and ducks.
Similarly, number of sparrows + number of ducks = 6 and number of sparrows + number of pigeons = 6.
This is possible when there are 3 sparrows, 3 pigeons and 3 ducks i.e. 9 birds in all.
34
Mr. Johnson was to earn £ 300 and a free holiday for seven weeks' work. He worked for only 4 weeks and earned £ 30 and a free holiday. What was the value of the holiday?
Discuss
Answer & Solution
Answer: Option B
Solution:

Arithmetic Reasoning mcq solution image
35
What is the smallest number of ducks that could swim in this formation - two ducks in front of a duck, two ducks behind a duck and a duck between two ducks ?
Discuss
Answer & Solution
Answer: Option A
Solution:
Clearly, the smallest such number is 3.
Arithmetic Reasoning mcq solution image
Three ducks can be arranged as shown above to satisfy all the three given conditions.
36
Three friends had dinner at a restaurant. When the bill was received, Amita paid 2/3 as much as Veena paid and Veena paid 1/2 as much as Tanya paid. What fraction of the bill did Veena pay ?
Discuss
Answer & Solution
Answer: Option B
Solution:

Arithmetic Reasoning mcq solution image
37
In a class, 20% of the members own only two cars each, 40% of the remaining own three cars each and the remaining members own only one car each. Which of the following statements is definitely true from the given statements ?
Discuss
Answer & Solution
Answer: Option B
Solution:
Let total number of members be 100,
Then, number of members owning only 2 cars = 20.
Number of members owning 3 cars = 40% of 80 = 32.
Number of members owning only 1 car = 100 - (20 + 32) = 48.
Thus, 48% of the total members own one car each.
38
When Rahul was born, his father was 32 years older than his brother and his mother was 25 years older than his sister. If Rahul's brother is 6 years older than him and his mother is 3 years younger than his father, how old was Rahul's sister when he was born ?
Discuss
Answer & Solution
Answer: Option B
Solution:
When Rahul was born, his brother's age = 6 years;
His father's age = (6 + 32) years = 38 years,
His mother's age = (38 - 3) years = 35 years;
His sister's age = (35 - 25) years = 10 years.
39
A certain number of horses and an equal number of men are going somewhere. Half of the owners are on their horses' back while the remaining ones are walking along leading their horses. If the number of legs walking on the ground is 70, how many horses are there ?
Discuss
Answer & Solution
Answer: Option C
Solution:
Let number of horses = number of men = x.
Then, number of legs = 4x + 2 x (x/2) = 5x.
So, 5X = 70 or x = 14.
40
Ravi's brother is 3 years senior to him. His father was 28 years of age when his sister was born while his mother was 26 years of age when he was born. If his sister was 4 years of age when his brother was born, what were the ages of Ravi's father and mother respectively when his brother was born ?
Discuss
Answer & Solution
Answer: Option A
Solution:
When Ravi's brother was born, let Ravi's father's age = x years and mother's age = y years.
Then, sister's age = (x - 28) years. So, x - 28 = 4 or x = 32.
Ravi's age = (y - 26) years. Age of Ravi's brother = (y - 26 + 3) years = (y - 23) years.
Now, when Ravi's brother was born, his age = 0 i.e. y - 23 = 0 or y = 23.