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Reasoning Aptitude

ARITHMETIC REASONING MCQs

Arithmetical Reasoning

Total Questions : 278 | Page 9 of 28 pages
Question 81. A monkey climbs 30 feet at the beginning of each hour and rests for a while when he slips back 20 feet before he again starts climbing in the beginning of the next hour. If he begins his ascent at 8.00 a.m., at what time will he first touch a flag at 120 feet from the ground?
  1.    4 p.m.
  2.    5 p.m.
  3.    6 p.m.
  4.    None of these
 Discuss Question
Answer: Option C. -> 6 p.m.
Question 82. A number consists of two digits whose sum is 11. If 27 is added to the number, then the digits change their places. What is the number ?
  1.    47
  2.    65
  3.    83
  4.    92
 Discuss Question
Answer: Option A. -> 47
Question 83. An enterprising businessman earns an income of Re. 1 on the first day of his business. On every subsequent day, he earns an income which is just double of that made on the previous day. One the 10th day of business, his income is
  1.    Rs. 29
  2.    Rs. 210
  3.    Rs. 10
  4.    Rs. 102
 Discuss Question
Answer: Option A. -> Rs. 29
Question 84. Nitin's age was equal to square of some number last year and the following year it would be cube of a number. If again Nitin's age has to be equal to the cube of some number, then for how long he will have to wait?
  1.    10 years
  2.    38 years
  3.    39 years
  4.    64 years
 Discuss Question
Answer: Option B. -> 38 years
Question 85.

There are 50 students admitted to a nursery class. Some students can speak

only English and some can speak only Hindi. Ten students can speak both

English and Hindi. If the number of students who can speak English is 21, then

how many students can speak Hindi, how many can speak only Hindi and how

many can speak only English ? 


  1.    39, 29 and 11 respectively
  2.    37, 27 and 13 respectively
  3.    28, 18 and 22 respectively
  4.    21, 11 and 29 respectively
 Discuss Question
Answer: Option A. -> 39, 29 and 11 respectively

Let circles E and H represent students who can speak English and Hindi respectively.  Number of students who can speak both English and Hindi = Y = 10  Number of students who can speak English = X + Y = 21  There Are 50 Students Admitted To A Nursery Class. Some Stud... Total number of students = X + Y + Z = 50  Number of students who can speak only English  = X = (X + Y) - Y = 21 - 10 = 11  Number of students who can speak only Hindi  = Z = (X + Y + Z) - (X + Y) = 50 - 21 = 29  Number of students who can speak Hindi = (Y + Z) = 10 + 29 = 39


Question 86.

In a town, 65% people watched the news on television, 40% read a newspaper

and 25% read a newspaper and watched the news on television also. What

percent of the people neither watched the news on television nor read a news-

paper ?


  1.    5
  2.    10
  3.    15
  4.    20
 Discuss Question
Answer: Option D. -> 20

People watching Television is 65%. People watching only Television is 65% - 25% = 40%

People reading newspaper is 40%. People reading only newspaper is 40% - 25% = 15%

Thus percentage of people watching TV, reading newspaper and

Both TV and newspaper is  40% + 15% + 25% = 80%

Hence percentage of people neither watching TV nor reading newspaper is  100% - 80% = 20%    


Question 87.

Ravi's brother is 3 years aertter to him. His father was 28 years of age when

his sister was born while Ms mother was 26 years of age when he was born. If

his sister was 4 years of age when his brother was born, what was the age of

Ravi's father and mother respectively when his brother was born ?


  1.    32 years. 23 years
  2.    32 years, 29 years
  3.    35 years, 29 years
  4.    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.


Question 88.

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 ? 


  1.    7 years
  2.    10 years
  3.    14 years
  4.    19 years 9 year
 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 89.

A father is now three times did as his son. Five years back, he was four

times as old as his son. The age of the son is 


  1.    12
  2.    15
  3.    18
  4.    20
 Discuss Question
Answer: Option B. -> 15

Let sons age be x. Then, father's age is3x .

Five years ago, father's age = 3x - 5 and son's age = x - 5.

So, 3x - 5 = 4(x - 5) or 3x - 5 = 4x - 20 or x = 15.


Question 90.

In a family, a couple has a son and a daughter. The age of the father is three

times that of his daughter and the age of the son is half of his mother. The

wife is 9 years younger to her husband and the brother is seven years older

than his sister. What is the age of the mother ? 


  1.    40 years
  2.    45 years
  3.    50 years
  4.    60 years
 Discuss Question
Answer: Option D. -> 60 years

Let the daughter's age be x years.

Then, father's age = (3x) years.

Mother's age = (3x - 9) years; Son's age = (x + 7) years.

So, x + 7 = (3x-9)/2 or 2x + 14 = 3x - 9 or x = 23.

Therefore Mother's age = (3X - 9) = (69 - 9) years = 60 years.


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