Arithmetical Reasoning Questions

Q:

The following equation is incorrect. Which two signs should be interchanged to correct the equation?

 

14 + 16 ÷ 40 x 8 - 48 = 46

 

A) ÷ and x B) x and -
C) ÷ and - D) - and +
 
Answer & Explanation Answer: A) ÷ and x

Explanation:
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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:

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:

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:

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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