Explanation

If the stenographer schedules meetings only on even-numbered days, but both supervisors are satisfied, it implies a change in the original conflicting instruction.

Therefore, one supervisor must have altered their demand to align with even days.

Explanation

The statement says "All efficient typists are good organizers," meaning every efficient typist is included in the group of good organizers.

So it's logically valid to say that some efficient typists are good organizers (since “all” includes “some”).

Explanation

A hexagon is a polygon with 6 sides.

It has 6 angles, one at each vertex.

It also has 6 vertices.

Explanation

Inverse Proportion:

When one quantity increases, the other decreases in such a way that their product remains constant.

Example: Speed increases → Time to cover the same distance decreases.

Direct Proportion:

When one quantity increases, the other also increases at the same rate.

Example: More hours worked → More wages earned.

Explanation

Let's denote the two integers as x and y, where x > y:

Given x - y = 3 and x² + y² = 89.

From x - y = 3, we get x = y + 3.

Substitute x in the second equation:

(y + 3)² + y² = 89

y² + 6y + 9 + y² = 89

2y² + 6y - 80 = 0

y² + 3y - 40 = 0

(y + 8)(y - 5) = 0

y = -8 (not possible since y is positive) or y = 5.

If y = 5, then x = y + 3 = 8.

Check: 8² + 5² = 64 + 25 = 89.

The integers are 8 and 5.

Explanation

An angle less than 90° is called an acute angle.

Exactly 90°: Right angle

Between 90° and 180°: Obtuse angle

Exactly 180°: Straight angle

More than 180° and less than 360°: Reflex angle

Explanation

In Maths, a straight angle is an angle equal to 180°.

It is called straight because it appears as a straight line.

Explanation

The largest 4-digit number is 9999.

Dividing 9999 by 88 gives: 9999 ÷ 88 = 113.625 → Integer part = 113

113 × 88 = 9944, which is the largest 4-digit number divisible by 88.

Explanation

Given:

- 4 weavers weave 4 mats in 4 days  

- So, each weaver weaves 1 mat in 4 days

Now, you have 8 weavers working at the same rate.

If 1 weaver weaves 1 mat in 4 days, then:

- 8 weavers will weave 8 mats in 4 days

Explanation

- Profit = 10% of selling price = 0.10x

- Cost Price = Rs 2

Now use the relation:  

Cost Price = Selling Price – Profit  

⇒ 2 = x – 0.10x  

⇒ 2 = 0.90x  

⇒ x = 2 / 0.90 = 2.22