Explanation

Using difference of squares:

a² - 9 = a² - 3² = (a+3)(a-3)

Last verified on 16-03-2026

Explanation

In a base-5 number system, the numerals used are 0, 1, 2, 3, 4.

Last verified on 16-03-2026

Explanation

Let equal sides = x, third side = x + 5

Perimeter: x + x + (x+5) = 50

3x + 5 = 50

3x = 45

x = 15

Third side = x+5 = 15+5 = 20

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Explanation

To convert marks to percentage:

Formula: (Marks obtained / Total marks) × 100

= (72 / 80) × 100

= 0.9 × 100

= 90%

Last verified on 16-03-2026

Explanation

To find the largest number, first subtract the remainder:

92 - 2 = 90

74 - 2 = 72

Now, find the HCF of 90 and 72:

HCF(90, 72) = 18

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Explanation

Roman numerals do not have a symbol for zero.

All other numbers like Four (IV) and Thousand (M) have specific Roman numeral symbols.

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Explanation

Multiples of 70 between 200 and 600:

210, 280, 350, 420, 490, 560

Checking the conditions:

210: hundreds (2-even), tens (1-odd) ❌

280: hundreds (2-even), tens (8-even) ❌

350: hundreds (3-odd), tens (5-odd) ✅

420: hundreds (4-even), tens (2-even) ❌

490: hundreds (4-even), tens (9-odd) ❌

560: hundreds (5-odd), tens (6-even) ❌

Last verified on 16-03-2026

Explanation

To find the number of students, we need to find the LCM of 3, 4, 6, and 8.

LCM(3, 4, 6, 8) = 24

So, the number of students is a multiple of 24.

Last verified on 16-03-2026

Explanation

The multiplicative inverse of a fraction a/b is b/a, with the same sign. So, for -3/6:

Flip the fraction: 6/-3

Simplify: -6/3

-3/6 × -6/3 = 1 (proves it's the inverse)

Last verified on 16-03-2026

Explanation

U − B contains all elements in the universal set U that are not in B, which is called the complement of B.

The standard notation for the complement of a set is B′.

Last verified on 16-03-2026