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Question : If $2 \sin \theta+2 \sin ^2 \theta=2$, then the value of $2 \cos ^4 \theta+2 \cos ^2 \theta$ is:

Option 1: 4

Option 2: 2

Option 3: 1

Option 4: 0

Team Careers360 21st Jan, 2024

Correct Answer: 2


Solution : Given: $2 \sin \theta+2 \sin ^2 \theta=2$
⇒ $2\sin\theta + 2\sin^2\theta = 2(\sin^2\theta + \cos^2\theta)$
⇒ $2\sin\theta + 2\sin^2\theta = 2\sin^2\theta + 2\cos^2\theta$
⇒ $2\sin\theta = 2\cos^2\theta$
⇒ $\sin\theta = \cos^2\theta$
Putting the value in the given equation,
$2 \cos ^4 \theta+2 \cos ^2 \theta$

20 Views

Question : What is meant by "Capital Gains"? 

Option 1: Part of the profits added to the capital

Option 2: Appreciation in the money value of assets

Option 3: Additions to the capital invested in a business

Option 4: None of these

Team Careers360 21st Jan, 2024

Correct Answer: Appreciation in the money value of assets


Solution : The correct answer is appreciation in the money value of assets.

The term " capital gain" refers to the profit or rise in the value of a capital asset when it is sold or transferred for more than

125 Views

Question : Which is the smallest three-digit number which when increased by 5 becomes divisible by both 2 and 3?

Option 1: 102

Option 2: 105

Option 3: 103

Option 4: 108

Team Careers360 25th Jan, 2024

Correct Answer: 103


Solution : Consider the numbers,
102, 103, 105, and 108
⇒ For 102,
When increased by 5, the number becomes 107 which is not divisible by 2.
Now, The number = 103
When increased by 5, the number = 108
⇒ $\frac{108}{2}=54$ and $\frac{108}{3}=36$
Number = 105,

399 Views

Question : How many composite numbers are there from 53 to 97?

Option 1: 36

Option 2: 38

Option 3: 37

Option 4: 35

Team Careers360 24th Jan, 2024

Correct Answer: 35


Solution : Given: The numbers are from 53 to 97.
Numbers with more than two factors are called composite numbers.
The composite number between 53 and 97 = 54, 55, 56, 57, 58, 60, 62, 63, 64, 65, 66, 68, 69, 70, 72, 74, 75, 76, 77,

12 Views

Question : Choose the correct spelling of the underlined word.

The school calander this year has turned out really nice.

Option 1: celender

Option 2: calendar

Option 3: calunder

Option 4: calender

Team Careers360 23rd Jan, 2024

Correct Answer: calendar


Solution : The correct choice is the second option.

Explanation:

We have to consider the correct spelling of the word "calendar". The standard and correct spelling of the word is "calendar". The error is in the usage of an "a" instead of an "e", making

4 Views

Question : Directions: Select the correct mirror image of the given figure when the mirror is placed at MN as shown below.

Option 1:

Option 2:

Option 3:

Option 4:

Team Careers360 24th Jan, 2024

Correct Answer:


Solution : As per the mirror image properties, closer things appear close to the mirror in the reflection.
Here, according to the information provided, the mirror is placed on the right side of the figure (on line MN). So, the left side of the reflected image will appear

17 Views

Question : There is a number consisting of two digits. The digit in the unit's place is twice that of the ten's place and if 2 is subtracted from the sum of the digits, the difference is equal to $\frac{1}{6}$th of the number. The number is:

Option 1: 26

Option 2: 25

Option 3: 24

Option 4: 23

Team Careers360 21st Jan, 2024

Correct Answer: 24


Solution : Let the digit at the tens's place and the digit at the unit's place be 'a' and 'b' respectively.
Given that b = 2a, 
The number becomes 10a + b = 10a + 2a = 12a
Now, the sum of digits = (a + b)

14 Views

Question : Microorganisms are classified into how many major groups?

Option 1: 1

Option 2: 2

Option 3: 3

Option 4: 4

Team Careers360 22nd Jan, 2024

Correct Answer: 4


Solution : The correct option is 4

There are four main categories of microorganisms:

  • Bacteria are single-celled microorganisms with no nucleus and no membrane-bound organelles.
  • Algae are water-bound, photosynthetic, nucleus-bearing organisms that lack genuine roots, stems, and leaves.
  • Fungi are eukaryotic microorganisms such as yeasts, moulds, and
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