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33 Views

Question : The radii of two concentric circles are 13 cm and 8 cm. AB is the diameter of the bigger circle and BD is a tangent to the smaller circle touching it at D and the bigger circle at E. Point A is joined to D. The length of AD is:

Option 1: 20 cm

Option 2: 19 cm

Option 3: 18 cm

Option 4: 17 cm

Team Careers360 25th Jan, 2024

Correct Answer: 19 cm


Solution :
Let the line BD intersect the bigger circle at point C.
Join AC.
OD $\perp$ BD ⇒ OD $\perp$ BC
So, BD = DC
⇒ D is the midpoint of BC.
Also, O is the midpoint of AB.
In $\triangle$BAC, O is the midpoint

10 Views

Question : Directions: In the question, a part of the sentence is in bold. Below are given alternatives to the bold part at 1, 2 and 3 that may improve the sentence. Choose the correct alternative. In case no improvement is needed, your answer is (4).

The gold is a precious metal.

(1) Gold

(2) A gold

(3) An gold

(4) No Improvement 

Option 1: 1

Option 2: 2

Option 3: 3

Option 4: 4

Team Careers360 24th Jan, 2024

Correct Answer: 1


Solution : The correct answer is the first option. 

"The gold" should be replaced with "Gold" as articles never come before a material noun so the article "the" should be removed. "Gold" is correctly used as a noun referring to the precious metal.

Therefore, the correct statement

15 Views

Question : Formalised system of trading agreements with groups of countries is known as

Option 1: Trading blocks

Option 2: Trade ventures

Option 3: Trade partners

Option 4: Trade organisations

Team Careers360 19th Jan, 2024

Correct Answer: Trading blocks


Solution : The Correct Answer is Trading blocks

Trading blocs are merely associations of nations that set the rules for international commerce. An example of an intergovernmental agreement is a trade bloc, which is frequently a component of a regional intergovernmental organization. In a trade bloc,

17 Views

Question : ABCD is a rhombus with $\angle$ABC = 52°. The measure of $\angle$ACD is:

Option 1: 54°

Option 2: 26°

Option 3: 48°

Option 4: 64°

Team Careers360 20th Jan, 2024

Correct Answer: 64°


Solution :
Since opposite angles of a rhombus are equal
So, $\angle$ADC = $\angle$ABC = 52°
Also, $\angle$DAC = $\angle$DCA = $x$ (say) [since AD = DC]
In $\triangle$ ADC,
$\angle$ADC + $\angle$DAC + $\angle$DCA = 180°
⇒ $x+x+52°$ = 180°
⇒ $x$ = 64°
⇒ $\angle$DCA

19 Views

Question : Directions: In the following question, select the one that is different from the other three alternatives.

Option 1: 289

Option 2: 196

Option 3: 169

Option 4: 120

Team Careers360 22nd Jan, 2024

Correct Answer: 120


Solution : Let's check the options –
First option: 289; 289 is a perfect square.
Second option: 196; 196 is a perfect square.
Third option: 169; 169 is a perfect square.
Fourth option: 120; 120 is not a perfect square.

So, the fourth option differs from the

109 Views

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

The place that a person treats as his permanent home, or lives in and has a substantial connection with

Option 1: Oasis

Option 2: Domicile

Option 3: Embankment

Option 4: Resort

Team Careers360 22nd Jan, 2024

Correct Answer: Domicile


Solution : The correct choice is the second option.

Domicile refers to the place that a person treats as their permanent home, where they live and have a substantial connection with, often for legal or official purposes. It signifies one's residence or abode.

The meanings of the

20 Views

Question : The minimum value of $2\sin^{2}\theta+3\cos^{2}\theta$ is:

Option 1: 0

Option 2: 3

Option 3: 2

Option 4: 1

Team Careers360 20th Jan, 2024

Correct Answer: 2


Solution : Given: $2\sin^{2}\theta+3\cos^{2}\theta$
= $2\sin^{2}\theta+3(1-\sin^{2}\theta)$
= $2\sin^{2}\theta+3-3\sin^{2}\theta)$
= $3-\sin^{2}\theta$
For minimum value of $(3-\sin^{2}\theta)$ by putting $\sin^{2}\theta=1$
⇒ $3-1=2$
Hence, the correct answer is 2.

15 Views

Question : In human beings, the small intestine is coiled and is about ______ metres long.

Option 1: 1 to 1.5

Option 2: 3 to 3.5

Option 3: 2 to 2.5

Option 4: 7 to 7.5

Team Careers360 23rd Jan, 2024

Correct Answer: 7 to 7.5


Solution : The correct answer is 7 to 7.5.

In human beings, the small intestine is coiled and is about 7 to 7.5 meters long on average. This length allows for a large surface area for the absorption of nutrients from digested food. The

19 Views

Question : Simply the given expression: (5p + 3q)(5p – 3q)

Option 1: 25p2 – 9q2 + 30pq

Option 2: 25p2 – 9q2

Option 3: 25p2 + 9q2

Option 4: 25p2 + 9q2 – 30pq

Team Careers360 25th Jan, 2024

Correct Answer: 25p2 – 9q2


Solution : Given: (5p + 3q)(5p – 3q)
= (5p)2 – (3q)2
= 25p2 – 9q2
Hence, the correct answer is 25p2 – 9q2.

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