CAT Questions

Q:

The sum of the ages of 5 children born at the intervals of 3 years each is 50 years. What is the age og the youngest child ?

A) 8 yrs B) 16 yrs
C) 6 yrs D) 4 yrs
 
Answer & Explanation Answer: D) 4 yrs

Explanation:

Let the age of the youngest child is 'X' years.
Then the child elder than the yongest is 'X + 3' yrs
Since each have 3yrs difference upto 5 children
And given that
=> X + X+3 + X+6 + X+9 + X+12 = 50
=> 5X + 30 = 50
=> X = 4 yrs.

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Filed Under: Problems on Ages
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5 5720
Q:

A secret can be told to only 3 persons in 3 minutes. Each person in turn tells 3 other persons in the next 3 minutes and the processes continues accordingly. In 30 minutes how many persons can be told this secret in this way ?

A) 88572 B) 77854
C) 99584 D) 55654
 
Answer & Explanation Answer: A) 88572

Explanation:

Given a secret is told to 3 persons in 3 minutes.
And if the process continues with each person saying 3 other persons,
In 30 minutes => the rocess for 10 times because each person time is 3 minutes.
Required number of persons = 3 + 32 + 33 + .... + 39 + 310

 

Now it forms a geometric progression,

 

Sum to n terms is S = arn - 1r - 1

 

Here a = 3, r = 3

 
=> 59048 x 3 /2

 

= 88572.

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Filed Under: Simplification
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5 5719
Q:

The Salal project is on the river

A) Ravi B) Sutlej
C) Ganges D) Chenab
 
Answer & Explanation Answer: D) Chenab

Explanation:

The_Salal_project_is_on_the_river1561015286.jpg image

The Salal project or Dam also known as Salal Hydroelectric Power Station, is a run-of-the-river power project on the Chenab River in the Reasi district of the Indian state of Jammu and Kashmir.

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Filed Under: Indian Geography
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16 5718
Q:

What is the Logo and mascot of Asian Athletics Championships that is scheduled to be held from 6 to 9 july 2017  ?

A) Fishing cat B) Olive Ridley turtles.
C) Sanderlings D) Irrawaddy Dolphins
 
Answer & Explanation Answer: B) Olive Ridley turtles.

Explanation:

Odisha Chief Minister Naveen Patnaik has unveiled the logo and mascot of the 22nd Asian Athletics Championships scheduled to be held at the Kalinga Stadium in Bhubaneshwar from July 6 to 9, 2017.

 Mr. Patnaik also formally announced Bhubaneswar as the host for the sports event. The mascot, named Olly Turtle, depicts the Olive Ridley turtles.

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Filed Under: General Awareness
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3 5718
Q:

Which statement best compares a line and a point?

A) A point has no dimension and a line has one dimension. B) A line can have line segments on it whereas a point cannot be on any line segment.
C) point is a location whereas a line has several planes located on it D) A line can lie on a plane whereas a point cannot lie on a plane.
 
Answer & Explanation Answer: A) A point has no dimension and a line has one dimension.

Explanation:

A point has no dimension and a line has one dimension is the statement that best compares a line and a point.

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Filed Under: Arithmetical Reasoning
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4 5717
Q:

A man reads 3/7 of a book on a day and 2/5 of the remaining, on the second day. If the number of pages still unread are 36, how many pages did the book contain ?

A) 105 B) 101
C) 98 D) 109
 
Answer & Explanation Answer: A) 105

Explanation:

Let number of pages in a book = p

According to questions

p - [3p/7 + (2/5 x 4p/7)] = 36

= p - 23p/35 = 36

=> 12p = 36 × 35

p = 105

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Filed Under: Percentage
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10 5715
Q:

A simple interest earned on certain amount is triple the money when invested for 16 years.what is the interest rate offered ?

A) 13.33 % B) 14.25 %
C) 16.98 % D) 18.75 %
 
Answer & Explanation Answer: D) 18.75 %

Explanation:

Given,
S.I = 3 Principal Amount
=> 3A = A x 16 x R/100
By solving, we get
=> R = 18.75%

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Filed Under: Simple Interest
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7 5714
Q:

Malaria : Disease :: Spear : ?

A) Death B) Weapon
C) Sword D) Wound
 
Answer & Explanation Answer: B) Weapon

Explanation:

Second denotes the class to which the first belongs to. Here Malaria belongs to disease class and similarly, Spear belongs to weapon class.

 

Hence,  Malaria : Disease :: Spear : Weapon.

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Filed Under: Analogy
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5 5714