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Question : The ratio of the curved surface area of two cones is 1 : 4 and the ratio of slant height of the two cones is 2 : 1. What is the ratio of the radius of the two cones?

Option 1: 1 : 2

Option 2: 1 : 4

Option 3: 1 : 8

Option 4: 1 : 1

Team Careers360 21st Jan, 2024

Correct Answer: 1 : 8


Solution : The curved surface area of a cone $ = \pi rl$ where \(r\) is the radius and \(l\) is the slant height of the cone.
Given that the ratio of the curved surface areas of two cones = 1 : 4
$⇒\frac{\pi r_1

18 Views

Question : If $\tanθ + \cotθ = 2$, $\theta$ is an acute angle, then find the value of $2 \tan^{25}θ + 3 \cot^{20}θ + 5 \tan^{30}θ \cot^{15}θ$.

Option 1: 8

Option 2: 6

Option 3: 10

Option 4: 12

Team Careers360 20th Jan, 2024

Correct Answer: 10


Solution : Given: The value of the trigonometric equation is $\tanθ + \cotθ = 2$ where $θ$ is an acute angle.
$\tanθ + \cotθ = 2$
⇒ $\tan 45^{\circ} + \cot45^{\circ} = 2$
⇒ $\theta = 45^{\circ}$
The value of the trigonometric expression $2 \tan^{25}45^{\circ} + 3

124 Views

Question : Directions: Which of the following numbers will replace the question mark (?) and complete the given number series?
2, 12, 144, 2592, ?

Option 1: 62108

Option 2: 62208

Option 3: 62204

Option 4: 63408

Team Careers360 20th Jan, 2024

Correct Answer: 62208


Solution : Given:
2, 12, 144, 2592, ?

The pattern is as follows –

So, 62208 is the missing number of the series. Hence, the second option is correct.

18 Views

Question : Which organic compound has a pleasant almond aroma that is commonly used to impart almond flavour to chocolate and baked goods?

Option 1: Manzanate

Option 2: Benzaldehyde

Option 3: Ethyl maltol

Option 4: Isoamyl acetate

Team Careers360 20th Jan, 2024

Correct Answer: Benzaldehyde


Solution : The correct option is Benzaldehyde.

Benzaldehyde is an organic compound with the chemical formula C7H6O. This colourless liquid possesses a distinctive almond-like fragrance and flavour. It is celebrated for its sweet, nutty and delightful almond scent and taste. Benzaldehyde serves

29 Views

Question : Directions: In a certain code language, SETTLE is coded as DLSTDS. What is the code for STRUCK in that code language?

Option 1: JCTRST

Option 2: JCTRSS

Option 3: JCTSRS

Option 4: JTCRSS

Team Careers360 19th Jan, 2024

Correct Answer: JCTRSS


Solution : Given:
SETTLE is coded as DLSTDS.

Subtract 1 from the place value of the second, fourth, and sixth letters of SETTLE and the remaining letters will remain the same and then reverse the order of the letters as shown to obtain the code –


Thus,

9 Views

Question : Which of the following is an example of contact force?

Option 1: Electrostatic force

Option 2: Muscular force

Option 3: Gravitational force

Option 4: Magnetic force

Team Careers360 23rd Jan, 2024

Correct Answer: Muscular force


Solution : The correct answer is Muscular force.

Contact force is the force generated when two things come into contact with each other. Here, non-contact forces such as gravitational, magnetic, and electrostatic can act at a distance without making physical contact with the object. On

11 Views

Question : Identify an organism that exhibits metagenesis.

Option 1: Obelia

Option 2: Spongilla

Option 3: Sycon

Option 4: Euspongia

Team Careers360 21st Jan, 2024

Correct Answer: Obelia


Solution : The correct option is Obelia.

Obelia is a type of hydrozoan, and its life cycle involves alternating between a sexually reproducing medusa stage and an asexually reproducing polyp stage. Metagenesis is a phenomenon in the life cycle of certain organisms where they undergo the

29 Views

Question : Select the correct passive form of the given sentence.

He drank a lot of coffee before the marathon.

Option 1: A lot of coffee was drunk by him before the marathon.

Option 2: A lot of coffee is drunk by him before the marathon.

Option 3: A lot of coffee was drunken by him before the marathon.

Option 4: A lot of coffee had been drunk by him before the marathon.

Team Careers360 23rd Jan, 2024

Correct Answer: A lot of coffee was drunk by him before the marathon.


Solution : The first option is the correct answer.

Passive voice is the voice in which the object experiences an action rather than the person who performs the action. Hence, the object in the active voice becomes

12 Views

Question : Improve the underlined part of the sentence. Choose 'No improvement' as an answer if the sentence is grammatically correct.
His father was few proud of his power over the horse.

Option 1: No improvement

Option 2: much proudest

Option 3: very proud

Option 4: very proudly

Team Careers360 20th Jan, 2024

Correct Answer: very proud


Solution : The correct answer is the third option.

The underlined part of the sentence is improved by adding the word "very" to convey a stronger degree of pride. The addition of "very" enhances the intensity of the pride his father feels. This modification results in

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