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7 Views

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

Team Careers360 24th Jan, 2024

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

118 Views

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 1: 12 cm

Option 2: 25 cm

Option 3: 16 cm

Option 4: 144 cm

Team Careers360 23rd Jan, 2024

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

15 Views

Question : Select the most appropriate synonym of the given word.
Rehabilitate

Option 1: Reinstall

Option 2: Develop

Option 3: Absolve

Option 4: Decline

Team Careers360 24th Jan, 2024

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:

  • Reinstall means to install again.
  • Absolve means
46 Views

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

Team Careers360 21st Jan, 2024

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

7 Views

Question : The chemical formula of Gypsum is _________.

Option 1: CaSO4.12H2O

Option 2: MgSO4.12H2O

Option 3: MgSO4.2H2O

Option 4: CaSO4.2H2O

Team Careers360 24th Jan, 2024

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:

  • Ca: Calcium
  • SO4: Sulphate
  • 2H2O: Two water molecules (dihydrate)

So,

9 Views

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)

Team Careers360 25th Jan, 2024

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,

10 Views

Question :

Animals adapted to life in the air are called:

Option 1:

Fossorial

Option 2:

Arboreal

Option 3: Cursorial

Option 4: Volant

Team Careers360 23rd Jan, 2024

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

8 Views

Question : Select the correctly spelt word.

Option 1: Unrravel

Option 2: Equilibrium

Option 3: Compeling

Option 4: Esctasy

Team Careers360 21st Jan, 2024

Correct Answer: Equilibrium


Solution : The correct choice is the second option.

Equilibrium is a state of balance. It describes a condition where two opposing forces are balancing each other.

Therefore, the correct answer is equilibrium.

12 Views

Question : Select the most appropriate synonym of the given word.
SUSTAIN

Option 1: design

Option 2: plan

Option 3: generate

Option 4: support

Team Careers360 21st Jan, 2024

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

257 Views

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

Team Careers360 21st Jan, 2024

Correct Answer: No substitution required


Solution : The correct choice is the first option.

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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