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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: $3\sqrt{3}$
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 =
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
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:
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
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.
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°
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
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
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 ×
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
Correct Answer: High and mighty
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
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
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
Question : The line chart given below shows the production of bikes and trucks by five companies. Which of the following statements is NOT correct? I. The total production of trucks by all 5 companies is 201.50 percent of the total production of bikes by all 5 companies. II. The average production of bikes and trucks by company R is 800.
Option 1: Only I
Option 2: Both I and II
Option 3: Only II
Option 4: Neither I nor II
Correct Answer: Only I
Solution : I. Total production of trucks by all 5 companies = 700 + 500 + 400 + 800 + 850 = 3250 units Total production of bikes by all 5 companies = 900 + 650 + 700 + 450 + 500 = 3200 units Required
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
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
Question : Select the correctly spelt word.
Option 1: Entirely
Option 2: Entierely
Option 3: Entierly
Option 4: Entyrely
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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