Explanation

log₁₀(1000) means “10 raised to what power gives 1000?”  

Since 10³ = 1000,  

log₁₀(1000) = 3.

Explanation

The value of the log can be either with base 10 or with base e.

The log10 10 value is 1

while the value of loge 10 or ln(10) is 2.302585.

ND18-9-2023

Explanation

The standard derivative of sin(x) with respect to x is cos(x).  

d/dx [sin(x)] = cos(x)

Explanation

Dog, Cow, and Tiger are mammals — they are warm-blooded, have fur/hair, and give birth to live young (most of the time).

Snake is a reptile — it is cold-blooded, has scales, and lays eggs.

So, Dog, Cow, and Tiger are more alike, and Snake is the odd one out.

Explanation

51, 64, 121, 144, 256

Check if they are perfect squares:

- 51 → Not a perfect square  

- 64 → 8²  

- 121 → 11²  

- 144 → 12²  

- 256 → 16²  

All are perfect squares except 51.

Explanation

The odd one out is 13545

Because it is the only number in the list that is odd,

While 17458, 13762, 29498, and 27993 are all even numbers. 

Even Numbers: Numbers that are divisible by 2 (end in 0, 2, 4, 6, or 8).

Odd Numbers: Numbers that are not divisible by 2 (end in 1, 3, 5, 7, or 9)

Explanation

January    31

July            31

March         31

February    28

Explanation

Blue, Red ,Green are primary colours

While yellow is secondary colour obtained by mixing two primary colours.

Explanation

• X does not have any sons or brothers but Y’s father is X’s father-son. Daughter is Y to X
• ***
  
  
• Y term is used here as female.
• X is a boy and Y is a girl.
• X does not have a son or brother.
• Y’s father and X are the same people.
• Therefore, Y is the daughter of X.

Explanation

Let's look at the pattern in the sequence:

23, 5, 63, 9, 73, ?

Break it into two alternating sequences:

- 1st, 3rd, 5th terms (odd positions): 23, 63, 73  

- 2nd, 4th, 6th terms (even positions): 5, 9, ?  

Odd positions:  

23 → 63 → 73  

→ +40 → +10  

Even positions:  

5 → 9 → ?  

→ +4 → ?  

If the pattern of +4 continues:

9 + 4 = 13