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Question : Find the length of a tangent drawn to a circle with a radius of 6 cm, from a point 10 cm from the centre of the circle.
Option 1: 12 cm
Option 2: 9 cm
Option 3: 8 cm
Option 4: 10 cm
Correct Answer: 8 cm
Solution : Given: a circle with a radius $OQ$ = 6 cm $OP$ = 10 cm By using Pythagoras theorem, ⇒ $OP^{2} = PQ^{2}+OQ^{2}$ ⇒ $10^{2} = PQ^{2}+6^{2}$ ⇒ $PQ^{2}=64$ ⇒ $PQ=8$ So, the length of the tangent is 8 cm. Hence, the correct answer is
Question : DE is a chord and KDE is a secant of a circle. If KD = 9 cm, DE = 7 cm and KH is a tangent to the circle at point H, find KH.
Option 2: 25 cm
Option 3: 16 cm
Option 4: 144 cm
Correct Answer: 12 cm
Solution : Suppose a tangent segment and a secant segment are drawn to a circle from an exterior point. In that case, the square of the measure of the tangent segment is equal to the product of the measures of the secant segment and its external
Question : Select the most appropriate synonym of the given word. Rehabilitate
Option 1: Reinstall
Option 2: Develop
Option 3: Absolve
Option 4: Decline
Correct Answer: Develop
Solution : The correct choice is the second option.
Explanation: The synonym for "rehabilitate" is "develop". In the context of rehabilitation, both terms imply a process of improvement, restoration, or progress. The meanings of the other options are as follows:
Question : The following sentence has been split into four segments. Identify the segment that contains a grammatical error. A Prime Minister of India / will address / the nation today / on the occasion of Independence Day.
Option 1: A Prime Minister of India
Option 2: the nation today
Option 3: on the occasion of Independence Day
Option 4: will address
Correct Answer: A Prime Minister of India
Solution : The correct choice is the first option.
The use of the indefinite article "a" before "Prime Minister of India" is incorrect. When referring to a specific position, such as the Prime Minister, the definite article "the" should be used.
Therefore, the
Question : The chemical formula of Gypsum is _________.
Option 1: CaSO4.12H2O
Option 2: MgSO4.12H2O
Option 3: MgSO4.2H2O
Option 4: CaSO4.2H2O
Correct Answer: CaSO4.2H2O
Solution : The correct answer is CaSO4.2H2O.
The chemical formula of Gypsum is CaSO4·2H2O.
Here's a breakdown of the components:
So,
Question : Directions: Select the set in which the numbers are related in the same way as the numbers of the following sets. (68, 46, 22); (242, 160, 82)
Option 1: (108, 75, 33)
Option 2: (38, 12, 18)
Option 3: (176, 55, 148)
Option 4: (209, 78, 33)
Correct Answer: (108, 75, 33)
Solution : Given: (68, 46, 22); (242, 160, 82)
The third number is the difference between the first and the second number. (68, 46, 22)→68 – 46 = 22 (242, 160, 82)→242 – 160 = 82 Let's check each option – First option: (108, 75,
Question :
Animals adapted to life in the air are called:
Option 1:
Fossorial
Option 2:
Arboreal
Option 3: Cursorial
Option 4: Volant
Correct Answer: Volant
Solution : The correct option is Volant.
The term volant refers to species, especially mammals, that can fly or are equipped for flight. Volant creatures, such as birds and bats, as well as some insects, have evolved unique structures and adaptations that allow them to
Question : Select the correctly spelt word.
Option 1: Unrravel
Option 2: Equilibrium
Option 3: Compeling
Option 4: Esctasy
Correct Answer: Equilibrium
Equilibrium is a state of balance. It describes a condition where two opposing forces are balancing each other.
Therefore, the correct answer is equilibrium.
Question : Select the most appropriate synonym of the given word. SUSTAIN
Option 1: design
Option 2: plan
Option 3: generate
Option 4: support
Correct Answer: support
Solution : The fourth option is the correct answer.
Sustain is a term that implies the act of maintaining or supporting something over a period of time. On the other hand, support involves holding up, maintaining, or endorsing, indicating assistance that helps in maintaining the stability or
Question : Select the most appropriate option that can substitute the underlined segment in the given sentence. If there is no need to substitute it, select ‘No substitution required’. Bloomberg Businessweek is not more popular than some other business magazines in the US.
Option 1: No substitution required
Option 2: the most popular than
Option 3: as more popular than
Option 4: so popular than
Correct Answer: No substitution required
The given sentence is already grammatically correct, and the meaning is clear. The comparative form not more popular than correctly conveys the idea that Bloomberg Businessweek is less popular than some other business magazines in
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