Explanation

Explanation

• The empty set is primarily known as the null set or void set
• Defined as a unique set containing no elements.
• It is denoted by the symbols ∅ or {}

Last updated 11-02-2026

Explanation

The least count of a screw gauge in millimeters is:

$$\text{LC}=0.01\text{ mm}$$

To convert millimeters to centimeters:

$$1\text{ mm}=0.1\text{ cm}$$$$0.01\text{ mm}=0.01\times 0.1=0.001\text{ cm}$$

Explanation

The least count of a screw gauge is the smallest measurement it can measure.

Formula:

$$\text{Least Count }=$$Pitch/Number of divisions on circular scale ​

In a typical screw gauge:

• Pitch = 0.5 mm

• Circular scale divisions = 50

Least Count=0.5/ 50 ​=0.01 mm

$$Last\; updated\; 11-02-2026$$

Explanation

• The odd one out is Heaven.
• Heaven is a metaphysical, spiritual, or religious concept, not a municipal unit. 
• Town, Township, and City are all types of municipal, geographical, or administrative human settlements on Earth.

Last updated 11-02-2026

Explanation

A number divisible by both 3 and 5 must be a common multiple of 3 and 5.

The smallest common multiple (LCM) is:

• Multiples of 3: 3, 6, 9, 12, 15, 18…

• Multiples of 5: 5, 10, 15, 20…

The first common number is 15.

Last updated 11-02-2026

Explanation

The perimeter means the total distance around a shape.

For a rectangle, there are:

• 2 lengths (l)

• 2 breadths (b)

So we add all four sides:

$$l+b+l+b$$

Combine like terms:

$$=2l+2b$$

Explanation

• The word mentor (letters: m, e, n, t, o, r) cannot be formed by the word Leadership. 
• Communication: Contains m, o, n, t, i, c, a, u. (Can form MENTOR)
• Organization: Contains o, r, g, a, n, i, z, t. (Can form MENTOR)

Explanation

First convert 10 minutes into hours:

• 1 hour = 60 minutes $1\text{ hour}=60\text{ minutes}$

• 10 minutes=10/60​=1/6​ hour

Distance = Speed × Time

d = vt

• Speed $v=60$ km/h

• Time $\frac{\mathrm{<span\; style="font-family:\; Overpass,\; sans-serif;\; font-size:\; 0.875rem;">t <span\; style="font-size:\; 0.875rem;">= </span><span\; class="vlist"\; style="font-size:\; 0.875rem;"><span\; class="sizing\; reset-size6\; size3\; mtight"><span\; class="mord\; mtight"><span\; class="mord\; mtight">1</span></span></span></span><span\; class="vlist-s"\; style="font-size:\; 0.875rem;">/6\; h </span></span>}}{}$

d=60×1/6​=10 km

$$\text{Last updated 11-02-2026}$$

Explanation