Arithmetic Reasoning(Reasoning Aptitude ) Questions and answers for exam Preparation

Reasoning Aptitude

ARITHMETIC REASONING MCQs

Arithmetical Reasoning

Total Questions : 278 | Page 28 of 28 pages

Question 271. A motorist knows four different routes from Bristol to Birmingham. From Birmingham to Sheffield he knows three different routes and from Sheffield to Carlisle he knows two different routes. How many routes does he know from Bristol to Carlisle ?

Discuss Question

Answer: Option D. -> 24
Total number of routes from Bristol to Carlisle = (4 x 3 x 2) = 24.

Question 272. There are deer and peacocks in a zoo. By counting heads they are 80. The number of their legs is 200. How many peacocks are there ?

Discuss Question

Answer: Option D. -> 60
Let x and y be the number of deer and peacocks in the zoo respectively. Then,
x + y = 80 ...(i) and
4x + 2y = 200 or 2x + y = 100 ...(ii)
Solving (i) and (ii), we get) x = 20, y = 60.

Question 273. A man wears socks of two colours - Black and brown. He has altogether 20 black socks and 20 brown socks in a drawer. Supposing he has to take out the socks in the dark, how many must he take out to be sure that he has a matching pair ?

3
20
39
None of these

Discuss Question

Answer: Option A. -> 3
Since there are socks of only two colours, so two out of any three socks must always be of the same colour.

Question 274. 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 ?

1/3
3/11
12/13
5/8
None of these

Discuss Question

Answer: Option B. -> 3/11

Question 275. 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 ?

Only 20% of the total members own three cars each.
48% of the total members own only one car each.
60% of the total members own at least two cars each.
80% of the total members own at least one car.
None of these

Discuss Question

Answer: Option B. -> 48% of the total members own only one car each.
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.

Question 276. 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 Question

Answer: Option C. -> 14
Let number of horses = number of men = x.
Then, number of legs = 4x + 2 x (x/2) = 5x.
So, 5X = 70 or x = 14.

Question 277. 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 ?

7 years
10 years
14 years
19 years

Discuss Question

Answer: Option B. -> 10 years
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.

Question 278. 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 ?

32 years, 23 years
32 years, 29 years
35 years, 29 years
35 years, 33 years

Discuss Question

Answer: Option A. -> 32 years, 23 years
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.