Explanation

LCM is the smallest number that both 4 and 12 divide evenly into.

12 is a multiple of both 4 and 12, so it's the LCM.

Explanation

1 meter = 100 centimeters

So, 600 ÷ 100 = 6 meters

Explanation

Any number raised to a power means multiplying that number by itself repeatedly.

Since 1 × 1 = 1, even when repeated, 1 raised to any power is always 1.

Explanation

Odd numbers from 21 to 33:

21, 23, 25, 27, 29, 31, 33

(7 numbers)

Step-by-step:

Sum = 21 + 23 + 25 + 27 + 29 + 31 + 33 = 189

Average = 189 ÷ 7 = 27

Explanation

Every element of set A is related to an element in B, so it's a function.

Since not every element of B is mapped (e.g., c is not an image), it’s into function.

Explanation

Intersection of sets includes only the elements common to all given sets.

It is denoted by the symbol ∩.

Explanation

The original equation is: b - 15 = 32

Solving:

b = 32 + 15 = 47

Explanation

13 + 12 = 25 is mathematically correct.

Explanation

We use the unitary method:

Cost of 30 kg sugar = Rs. 1200

Cost of 1 kg sugar = 1200 ÷ 30 = Rs. 40

Cost of 35 kg sugar = 40 × 35 = Rs. 1400

Explanation

To find the answer, check if 423 is divisible by any of the options:

423 ÷ 47 = 9