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16 Views

Question : The value of $\frac{1}{\sqrt{17+12 \sqrt{2}}}$ is closest to _____.

Option 1: 1.4

Option 2: 1.2

Option 3: 0.14

Option 4: 0.17

Team Careers360 18th Jan, 2024

Correct Answer: 0.17


Solution : Given expression,
$\frac{1}{\sqrt{17+12 \sqrt{2}}}$
$=\frac{1}{\sqrt{{3^2}+(2\sqrt2)^2+2\times3\times2\sqrt2}}$
$=\frac{1}{\sqrt{(3+2\sqrt2)^2}}$
$=\frac{1}{3+2\sqrt2}$
$=\frac{1}{3+2\sqrt2}\times\frac{3-2\sqrt2}{3-2\sqrt2}$
$=\frac{3-2\sqrt2}{3^2-(2\sqrt2)^2}$ [As $a^2-b^2=(a-b)(a+b)$]
$=\frac{3-2\sqrt2}{9-8}$
$=3-2\sqrt2$
$=3-2\times1.414$
= 3 – 2.828
= 0.172
Hence, the correct answer is 0.17.

21 Views

Question : What is the least value that must be assigned to * so that the number 451*603 is exactly divisible by 9?

Option 1: 7

Option 2: 8

Option 3: 5

Option 4: 9

Team Careers360 20th Jan, 2024

Correct Answer: 8


Solution : If the sum of the digits of the number is divisible by 9, then the number is divisible by 9.
Given: The number 451*603 is divisible by 9.
Let the unknown value be $x$.
Therefore, Sum of the digits = $\frac{(4 + 5 + 1

7 Views

Question : In the following question, out of the given four alternatives, select the alternative which best expresses the meaning of the Idiom/Phrase.
Get into hot water

Option 1: To get a costly gift

Option 2: To get into trouble

Option 3: To reach nowhere

Option 4: A private end to serve

Team Careers360 20th Jan, 2024

Correct Answer: To get into trouble


Solution : The second option is the correct choice.

The idiom “to get into hot water” means to land into difficulty, to be in danger, or to get troubled.

Example: If you don’t finish your homework, you will get into hot water.

Therefore, the

225 Views

Question : What is the least value of x + y, if the 10-digit number 780x533y24 is divisible by 88?

Option 1: 4

Option 2: 3

Option 3: 1

Option 4: 2

Team Careers360 23rd Jan, 2024

Correct Answer: 2


Solution : Given: A 10-digit number 780x533y24 is divisible by 88.
Then, it must be divisible by 11 and 8.
According to the divisibility rules,
$\mathrm{y}24$ must be divisible by 8.
$(7+0+5+3+2)–(8+x+3+y+4)=0$ or multiple of 11.
⇒ $2–(x+y)=0$ or multiple of 11.
(It can not be a

6 Views

Question : On which day was it announced that the Khel Ratna award would be declared as the Major Dhyan Chand Khel Ratna award?

Option 1: 29 August 2020

Option 2: 6 August 2021

Option 3: 29 August 2021

Option 4: 6 August 2020

Team Careers360 19th Jan, 2024

Correct Answer: 6 August 2021


Solution : The correct option is 6 August 2021.

The Indian government announced on August 6, 2021, that the Rajiv Gandhi Khel Ratna Award, the highest sporting honour in India, would be renamed the Major Dhyan Chand Khel Ratna Award. This announcement was made

8 Views

Question : Direction: Arrange the following words according to the English dictionary.

1. Fearsome

2. Fealty

3. Feasible

4. Feature

5. Feather

Option 1: 2, 4, 1, 3, 5

Option 2: 2, 3, 1, 4, 5

Option 3: 2, 5, 3, 1, 4

Option 4: 2, 1, 3, 5, 4

Team Careers360 24th Jan, 2024

Correct Answer: 2, 1, 3, 5, 4


Solution : Given:

1. Fearsome

2. Fealty

3. Feasible

4. Feature

5. Feather

Start from Fealty because l comes before r

Fealty

Now, write Fearsome because r comes before s

Fearsome

Now, write Feasible because s comes before

24 Views

Question : When a freely falling object eventually stops on reaching the ground __________.

Option 1: Its potential energy decreases.

Option 2: Its kinetic energy increases.

Option 3: Its potential energy decreases, and its kinetic energy increases.

Option 4: None of the options is correct.

Team Careers360 21st Jan, 2024

Correct Answer: Its potential energy decreases, and its kinetic energy increases.


Solution : The correct answer is its potential energy decreases and its kinetic energy increases.

As an object falls freely towards the ground, its potential energy decreases while its kinetic energy increases. Upon contact with the ground, the

10 Views

Question : 'Neo-Malthusian Theory' is associated with which of the following?

Option 1: Employment

Option 2: Poverty

Option 3: Resource scarcity

Option 4: Income

Team Careers360 20th Jan, 2024

Correct Answer: Resource scarcity


Solution : The correct answer is Resource scarcity.

The Neo-Malthusian idea is related to a scarcity of resources. Neo-Malthusians think that overpopulation and excessive consumption will result in natural resource depletion and environmental damage. It might result in a variety of issues, including food scarcity, shortage

29 Views

Question : Select the most appropriate option that can substitute the underlined segment in the given sentence.

Unless we co-operate and work together, we cannot succeed.

Option 1: pull together

Option 2: pull up

Option 3: pull down

Option 4: pull through

Team Careers360 22nd Jan, 2024

Correct Answer: pull together


Solution : The first option is the correct answer.

Pull together is an idiomatic expression that means to cooperate and work together harmoniously towards a common goal. It conveys the idea of individuals coming together and working collectively, which aligns with the meaning of cooperate and

4 Views

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

Option 1: 80 – 9

Option 2: 64 – 8

Option 3: 36 – 6

Option 4: 49 – 7

Team Careers360 24th Jan, 2024

Correct Answer: 80 – 9


Solution : Let's check the options –
First option: 80 – 9; 9= 81 ≠ 80 
Second option: 64 – 8; 8= 64
Third option: 36 – 6; 6= 36
Fourth option: 49 – 7; 7= 49

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