Arithmetical Reasoning Questions

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:

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:

Absolute value of 9?

A) 0 B) 9
C) 8 D) -9
 
Answer & Explanation Answer: B) 9

Explanation:

Absolute value of a number :

It means that the distance of a number from 0 on a number line. 

 

Here absolute value of 9 is that on a number line 9 is 9 units away from 0. Hence its absolute value is 9. Similarly, absolute value of -9 means -9 is also 9 units away from the 0 on number line. Hence, absolute value of -9 is also 9.

 

Hence, the absolute value of 9 is 9.

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Q:

Five friends are standing in a line. Nishu is taller than Riya but shorter than Pooja. Amrita is the shortest.Riya is shorter than Nishu but taller than Nikita. Who is the second tallest?

A) Amrita B) Pooja
C) Riya D) Nishu
 
Answer & Explanation Answer: D) Nishu

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:

What is the four-digit number in which the first digit is 1/3 of the second,the third is the sum of the first and second, and the last is three times the second ?

Answer

It is given that the first digit is 1/3 of the second. There are 3 such possibilities


1)1 and 3
2)2 and 6
3)3 and 9
Now, the third digit is the sum of the first and second digits.
1)1 + 3 = 4
2)2 + 6 = 8
3)3 + 9 = 12
It is clear that option 3 is not possible. So we are left with only two options. Also, the last digit is three times the second, which rules out the second option.


Hence, the answer is 1349.

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Q:

Vishu,Pooja,Vishakha,Rani and Ram are sitting in a line. Pooja is third to the extreme right end. Vishu is second to the left of Pooja. Vishakha is to the right of Pooja. Rani is third to the right of Ram, who is the immediate neighbour of Vishu. Who is sitting in the middle?

A) Pooja B) Ram
C) Visakha D) Rani
 
Answer & Explanation Answer: A) Pooja

Explanation:
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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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