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16 Views

Question : Simplify.
$\cos \left(36^{\circ}-\mathrm{A}\right) \cos \left(36^{\circ}+\mathrm{A}\right)+\cos \left(54^{\circ}-\mathrm{A}\right) \cos \left(54^{\circ}+\mathrm{A}\right)$

Option 1: $\cos A$

Option 2: $\sin 2A$

Option 3: $\cos 2A$

Option 4: $\sin A$

Team Careers360 25th Jan, 2024

Correct Answer: $\cos 2A$


Solution :

Given: $\cos(36^{\circ}-A) \cos (36^{\circ}+A)+\cos (54^{\circ}-A) \cos (54^{\circ}+A)$
= $\sin[90^{\circ} - (36^{\circ} - A)]\sin[90^{\circ} - (36^{\circ} + A)] + \cos (54^\circ - A) \cos (54^\circ + A)$
= $\sin(54^\circ + A)\sin(54^\circ - A) + \cos (54^\circ - A)\cos (54^\circ + A)$
= $\cos(54^{\circ} + A

82 Views

Question : Directions: If LOVE is coded as 27, then how is COME coded as?

Option 1: 38

Option 2: 18

Option 3: 28

Option 4: 8

Team Careers360 19th Jan, 2024

Correct Answer: 18


Solution : Given:
LOVE is coded as 27.

Add the place value of the letters of the LOVE and divide it by 2 to get the codes –
L→12; O→15; V→22; E→5
(12 + 15 + 22 + 5) ÷ 2 = 27
So, LOVE is coded

16 Views

Question : What is the value of $1.5-0.5+\{(9+2)-5\}$?

Option 1: 7

Option 2: 11

Option 3: 9

Option 4: 5

Team Careers360 21st Jan, 2024

Correct Answer: 7


Solution : $1.5-0.5+\{(9+2)-5\}$
$= 1.5 - 0.5 + (11 - 5)$
$= 1.5 - 0.5 + 6$
$= 7$
Hence, the correct answer is 7.

111 Views

Question : Comprehension:
In the following passage, some words have been deleted. Read the passage carefully and select the most appropriate option to fill in each blank.
Climatic disasters are (1)_______ increasingly common due to the effects of climate change. These disasters include extreme weather events such as hurricanes, tornadoes, floods, and droughts. To mitigate the effects of these disasters, it is essential to invest in disaster preparedness and (2)______ The impact of climatic disasters is not limited to the loss of life and property damage. For example, hurricanes can disrupt the oil and gas industry, leading to higher fuel prices and (3)_______ Floods can damage crops and infrastructure, leading to food shortages and disruptions to transportation systems. Rising temperatures can lead to more frequent heat waves, while changes in precipitation patterns can lead to more (4)_______ droughts and floods. Climatic disasters disproportionately affect vulnerable populations. Collaboration among governments, communities, and businesses is crucial for effective disaster preparedness and response. This involves investing in early warning systems, improving infrastructure and emergency services, and planning for post-disaster recovery. By taking a (5)_______ approach to disaster management, we can reduce the impacts of climatic disasters and build more resilient communities.
Select the most appropriate option to fill in the blank 2.

Option 1: regeneration

Option 2: response

Option 3: evaluation

Option 4: manifestation

Team Careers360 15th Jan, 2024

Correct Answer: response


Solution : The second option is the correct choice.

The sentence discusses the need to mitigate the effects of climatic disasters, investing in disaster preparedness, and the specific types of actions required. Response is the most fitting term because it implies taking action to address and manage

11 Views

Question : Directions: Based on the diagrams which letter is opposite to A?

Option 1: B

Option 2: C

Option 3: D

Option 4: E

Team Careers360 17th Jan, 2024

Correct Answer: E


Solution : Taking dice positions 1 and 2 with B as the common face,


Moving clockwise from the common face with B –

So, the opposite pairs are –

Therefore, the opposite face of A is E. Hence, the fourth option is correct.

9 Views

Question : A genetically engineered form of brinjal known as the BT brinjal has been developed. The objective of this is

Option 1: to make it pest-resistant

Option 2: to improve its taste and nutritive value

Option 3: to make it drought-resistant

Option 4: to make its shelf life longer

Team Careers360 24th Jan, 2024

Correct Answer: to make it pest-resistant


Solution : The correct option is to make it pest-resistant.

BT brinjal is a variety of brinjal that has been genetically modified to express a protein derived from the bacteria Bacillus thuringiensis (BT). This protein functions as a natural pesticide, protecting the plant from

10 Views

Question : Select the most appropriate option to fill in the blank.

Plastic inhabits the oceans, ______ up in the guts of seagulls and great white sharks.

Option 1: building

Option 2: burning

Option 3: provoking

Option 4: sailing

Team Careers360 13th Jan, 2024

Correct Answer: building


Solution : The correct choice is the first option.

Building is the appropriate word that should be used in the sentence. It helps convey the intended meaning that plastic occupies the ocean, and thus it gets collected in the guts of seagulls and sharks.

The meanings

31 Views

Question : Which of the following statements is correct regarding fuse wire?

Option 1: It has a low melting point and low conductivity.

Option 2: It has a high melting point and low conductivity.

Option 3: It has a low melting point and high conductivity.

Option 4: It has a high melting point and high conductivity.

Team Careers360 23rd Jan, 2024

Correct Answer: It has a low melting point and high conductivity.


Solution : The correct answer is that it has a low melting point and high conductivity.

The material used to make fuse wire has a high conductivity and a low melting point. It will prevent excessive power from

18 Views

Question : Directions: Select the correct combination of mathematical signs to sequentially replace the * signs and to balance the given equation.
62 * 11 * 42 * 6 * 18 * 21 * 7

Option 1: +, –, =, ×, –, ÷

Option 2: =, ×, ÷, –, +, ÷

Option 3: –, +, =, ×, –, +

Option 4: +, –, ÷, =, ×, +

Team Careers360 13th Jan, 2024

Correct Answer: =, ×, ÷, –, +, ÷


Solution : Given:
62 * 11 * 42 * 6 * 18 * 21 * 7

Replace * with the mathematical signs and solve the equations one by one using BODMAS.
Let's check the given options –
First option: +, –, =,

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