Arithmetical Reasoning Questions

Q:

The expression of 5008 km in scientific notation is

A) 50.08 x 10^3 kms B) 5.008 x 10^-3 kms
C) 5.008 x 10^3 kms D) 500.8 x 10^3 kms
 
Answer & Explanation Answer: C) 5.008 x 10^3 kms

Explanation:

We know that, any decimal number when multiplied by the multiples of 10, the decimal point moves to right the number of zeroes in the multiplying number.

 

For example :: 

0.0410 x 100 = 4.10 (Number of zeros in 100 are 2. So, the decimal point in 0.0410 moves two places to the right and becomes 4.10.)

 

Similarly, here in the option C) 5.008 x 10^3 kms it makes 5008 kms as the number of zeros in 10^3  i.e,  1000 are 3 and 5.008 becomes 5008.

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Q:

The binary system uses powers of

A) 0 B) 1
C) 2 D) None of the above
 
Answer & Explanation Answer: C) 2

Explanation:

Binary system is what the representation uses only two digits 0 & 1.

It uses only the powers of 2.

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Q:

Insert the missing character marked as '?'.

 

 

A) 2 B) 3
C) 4 D) 5
 
Answer & Explanation Answer: B) 3

Explanation:
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Q:

A tangent contains at most how many chords?

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

Explanation:

A tangent contains ZERO chords, as it touches the circle at only one point.

 

Hence, it does not contain any chord.

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Q:

Which of the following number is divisible by 24?

A) 37804 B) 2015736
C) 36718 D) 53810
 
Answer & Explanation Answer: B) 2015736

Explanation:

Divisibility rule for 24 is the number should be divisible by 3 and 8. As we know that 24 = 3 x 8

Now, 

Divisibility rule for 3 :

If the sum of the digits of a number is divisible by 3, then the number is divisible by 3.

 

Divisibility rule for 8 :

The last three digits of a number should be divisible by 8.

Hence, check for the given options,

A) 37804 => 804 is not divible by 8.

C) 36718 => 718 is not divible by 8.

D) 53810 => 810 is not divible by 8.

B) 2015736 => 736 is divisble by 8 and sum 2 + 0 + 1 + 5 + 7 + 3 + 6 = 24 which is divisible by 3.

 

Hence, 2015736 is divisible by 24.

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Q:

Use each of the following figures only once and form three groups. The three groups so formed are

 

 

A) (1,3,5), (2,6,8), (4,7,9) B) (1,3,5), (2,7,8), (4,6,9)
C) (1,3,9), (2,6,8), (4,7,5) D) (1,3,5), (2,6,9), (4,7,8)
 
Answer & Explanation Answer: A) (1,3,5), (2,6,8), (4,7,9)

Explanation:
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Q:

Points that lie on the same line are called

A) Congruent B) Coplanar points
C) Collinear points D) None
 
Answer & Explanation Answer: C) Collinear points

Explanation:

Points that lie on the same line are called Collinear points. And that points lie on the same plane are called Coplanar points. 

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Q:

Multiplicative inverse of 7?

A) 1 B) -1/7
C) 0 D) 1/7
 
Answer & Explanation Answer: D) 1/7

Explanation:

Multiplicative inverse is nothing but a reciprocal of a number. 

It is defined as one of a pair of numbers that when multiplied with another number equals the number 1.

Multiplicative inverse or reciprocal of 7 is 

7 x n = 1

=> n = 1/7.

 

Hence, Multiplicative inverse or reciprocal of 7 is  1/7.

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