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 Arithmetical Reasoning Questions

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Q:

If two is subtracted from each odd digit and three is added to each even digit in the number 94257636, how many digits will appear twice in the new number thus formed ?

A) 0 B) 1
C) 2 D) 3
 
Answer & Explanation Answer: D) 3

Explanation:

EXP.

Here 5, 7 & 9 are repeating after modulation.

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Q:

Difference between two numbers is 5, six times of the smaller lacks by 6 from the four times of the greater. Find the numbers ?

A) 12 & 7 B) 13 & 8
C) 15 & 10 D) 14 & 9
 
Answer & Explanation Answer: A) 12 & 7

Explanation:

x – y = 5

4x – 6y = 6

x = 12 y = 7

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Q:

In a family, each daughter has the same number of brothers as she has sisters and each son has twice as many sisters as he has brothers. How many sons are there in the family ?

A) 1 B) 2
C) 3 D) 4
 
Answer & Explanation Answer: C) 3

Explanation:

Assume the family has X girls and Y boys, according to the question,
we can have 2 equations:
X-1=Y, 2(Y-2)=X.
Solve the equations, we get X=4, Y=3.

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Q:

Which of the following is a Composite number?

A) 0 B) 19
C) 29 D) 91
 
Answer & Explanation Answer: D) 91

Explanation:

Here in the given numbers 91 is a Composite number. Since it has factors of 7 and 13 other than 1 and itself.

 

Composite Numbers :

A composite number is a positive integer which is not prime (i.e., which has factors other than 1 and itself).

Examples :: 4, 6, 8, 12, 14, 15, 18, 20, ...

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Q:

The sum of the interior angles of a polygon is twice the sum of its exterior angles. How many sides does the polygon have ?

A) 6 B) 4
C) 5 D) 7
 
Answer & Explanation Answer: A) 6

Explanation:

We know that

Sum of Interior angles of Polygon = 180(n-2)
Sum of Exterior angles of Polygon = 360
so 180(n-2)=2x360
Therefore, by solving we get n=6 sides.

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Q:

17 tens in unit form?

A) One 1 Seven 7 Ten 10 B) One 1 Seven 10 0 ones
C) 1 hundred, 7 tens, 0 ones D) 1 ten and 7 ones
 
Answer & Explanation Answer: C) 1 hundred, 7 tens, 0 ones

Explanation:

Firstly 17 tens = 17 x 10 = 170

17 tens = 170 in unit form can be written as 1 hundred, 7 tens, 0 ones.

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Q:

In a class of students, if 1 is absent rest of people can be divided into 6 equal parts and if 2 are absent rest of them are divided into 7 equal parts, how many students are present in the class ?

A) 28 B) 19
C) 57 D) 37
 
Answer & Explanation Answer: D) 37

Explanation:

Let the number of students in the class be 'x'.
Given if 1 is absent rest of people can be divided into 6 equal parts i.e (x-1)/6.........(1)
And given if 2 are absent rest of people can be divided into 7 equal parts i.e (x-2)/7.....(2)
From (1)&(2), we get
x-1/6 = ((x-2)/7) + 1
=> x = 37.

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Q:

A plane is an undefined term because it

A) is a flat surface that extends indefinitely in all directions B) is where other geometric shapes can be constructed
C) is described generally, not using a formal definition D) can be named using three noncollinear points
 
Answer & Explanation Answer: C) is described generally, not using a formal definition

Explanation:

In geometry, we can define plane as a flat surface with no thickness.

The surface extends with no ends.

A plane does not have any edges even if we draw it on paper with edges, it does't mean it has edges.

 

Hence, A plane is an undefined term because it is described generally, not using a formal definition.

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