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Question : In the given figure, BD passes through centre O, AB = 12 and AC = 8. What is the radius of the circle?

Option 1: $3\sqrt{2}$

Option 2: $4\sqrt{3}$

Option 3: $3\sqrt{5}$

Option 4: $3\sqrt{3}$

Team Careers360 15th Jan, 2024

Correct Answer: $3\sqrt{5}$


Solution :
Given: AB = 12 and AC = 8
Let CD = $a$.
We know that,
$AC×AD = AB^2$
⇒ $8×(8+a) = 12^2$
⇒ $64+8a = 144$
⇒ $8a = 80$
$\therefore a = 10$
So, CD = 10
Now, in $\triangle ABD, \angle B =

17 Views

Question : Select the option that can be used as a one-word substitute for the given group of words.

One who studies the evolution of mankind

Option 1: Anarchist

Option 2: Amateur

Option 3: Anthropologist

Option 4: Antagonist

Team Careers360 13th Jan, 2024

Correct Answer: Anthropologist


Solution : The correct choice is the third option.

An anthropologist is a person who studies the development, behaviour, and physical, social, and cultural aspects of humans from primitive times.

The meanings of the other options are as follows:

  • Anarchist: Someone who opposes the government and
20 Views

Question : What is MS-DOS?

Option 1: Multipurpose System Digital Offline Sign

Option 2: Microsoft Disk Operating System

Option 3: Multi-System Disk Operating System

Option 4: Microchip Sign Digital System

Team Careers360 24th Jan, 2024

Correct Answer: Microsoft Disk Operating System


Solution : The correct option is the Microsoft Disk Operating System.

MS-DOS, which stands for Microsoft Disk Operating System, is a Microsoft operating system. During the 1980s and 1990s, it was one of the first and most commonly used operating systems for personal computers.

17 Views

Question : ABCD is a cyclic quadrilateral such that AB is the diameter of the circle circumscribing it and $\angle $ADC = 118°. What is the measure of $\angle$BAC?

Option 1: 28°

Option 2: 45°

Option 3: 32°

Option 4: 30°

Team Careers360 25th Jan, 2024

Correct Answer: 28°


Solution :
Given that ABCD is a cyclic quadrilateral and AB is the diameter of the circle circumscribing it, we know that $\angle$ACB = 90º.
We are also given that $\angle$ADC = 118º.
We can use the fact that the sum of opposite angles in a cyclic

15 Views

Question : Directions: If V stands for ÷, Z stands for ×, M stands for +, and P stands for –, then what will come in place of the question mark (?) in the following equation?
81 M 46 P 72 V 12 Z 12 = ?

Option 1: 10

Option 2: 35

Option 3: 15

Option 4: 55

Team Careers360 14th Jan, 2024

Correct Answer: 55


Solution : Given:
81 M 46 P 72 V 12 Z 12 = ?

After replacing the letters as per the directions given in the question, the equation becomes –
= 81 + 46 – 72 ÷ 12 × 12
= 81 + 46 – 6 ×

15 Views

Question : Select the most appropriate idiom for the underlined segment in the following sentence.

The proud people forget the fact that the world is tangible.

Option 1: Hobson’s choice

Option 2: Head and shoulders

Option 3: High and mighty

Option 4: Hard-nosed attitude

Team Careers360 10th Jan, 2024

Correct Answer: High and mighty


Solution : The correct choice is the third option.

Explanation: "High and mighty" is an idiom used to characterise individuals who are arrogant, self-important, or condescending. It aligns with the idea of pride and a lack of humility, making it a suitable choice in this

15 Views

Question : Which of the following countries is not an exporter of tea?

Option 1: United Kingdom

Option 2: Sri Lanka

Option 3: India

Option 4: Kenya

Team Careers360 25th Jan, 2024

Correct Answer: United Kingdom


Solution : The correct answer is the United Kingdom.

China, Kenya, Sri Lanka and India are the top tea-exporting countries in the world. The United Kingdom is a tea-importing state. Pakistan, the United States, and Russia are the top tea-importing states. The botanical name of tea

5 Views

Question : The detention of a person cannot exceed ________ unless an advisory board consisting of judges of a High Court reports sufficient cause for extended detention.

Option 1: one month

Option 2: three months

Option 3: six months

Option 4: two months

Team Careers360 16th Jan, 2024

Correct Answer: three months


Solution : The correct answer is three months.

The Indian Constitution's Article 22 guarantees freedom from arrest and detention. It states that unless an advisory board finds enough justifiable grounds to extend custody, individuals under preventative detention laws may not be held for more than

9 Views

Question : Select the correctly spelt word.

Option 1: Entirely

Option 2: Entierely

Option 3: Entierly

Option 4: Entyrely

Team Careers360 22nd Jan, 2024

Correct Answer: Entirely


Solution : The correct choice is the first option.

Entirely is the correct spelling, which means completely, and is used to emphasise completeness. It implies that something is whole and complete, and nothing remains.

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