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15 Views

Question : If $x^{2}+y^{2}+2x+1=0$, then the value of $x^{31}+y^{35}$ is:

Option 1: –1

Option 2: 0

Option 3: 1

Option 4: 2

Team Careers360 18th Jan, 2024

Correct Answer: –1


Solution : Given:
$x^{2}+y^{2}+2x+1=0$
⇒ $x^{2}+2x+1+y^{2}=0$
⇒ $(x+1)^2+y^2=0$
Since the addition of the squares of the two terms is zero,
So, both the terms are individually zero.
Therefore, $(x+1)^2=0$ and $y^2=0$.
⇒ $x=-1$ and $y=0$
Now, $x^{31}+y^{35}$
= $(-1)^{31}+(0)^{35}$
= –1
Hence, the correct answer is –1.

6 Views

Question : Directions: In the following question, some parts of the sentence may have some errors. Find out which part of the sentence has an error and select the appropriate option. If the sentence is free from error, select "No error".

She does not listen to me (1) / because she is (2) / senior than me. (3) / No error (4)

Option 1: (1)

Option 2: (2)

Option 3: (3)

Option 4: (4)

Team Careers360 24th Jan, 2024

Correct Answer: (3)


Solution : The error lies in the third part of the sentence.

The preposition that should follow "senior" is to as adjectives ending in "-ior", such as junior, senior, inferior, and superior, are followed by to and not than.

Therefore, the correct sentence is: "She does

12 Views

Question : Directions: Select the figure from among the given options that can replace the question mark (?) in the following series.

Option 1:

Option 2:

Option 3:

Option 4:

Team Careers360 25th Jan, 2024

Correct Answer:


Solution : According to the given figures –
1. The circle in the box is moving in a clockwise direction from one corner to another.
2. The arrow inside the box is rotating by 90° in the anticlockwise direction.
3. The letters that are present in the box

15 Views

Question : The liberation of oxygen during photosynthesis is due to

Option 1: Hydrolysis of carbohydrates

Option 2: Photolysis of water

Option 3: Reduction of CO2

Option 4: Breakdown of chlorophyll

Team Careers360 18th Jan, 2024

Correct Answer: Photolysis of water


Solution : The answer is the Photolysis of water.

Oxygen is created as a consequence of photosynthesis's light-dependent processes, particularly photolysis, in which water molecules are split to liberate oxygen, electrons, and protons. The reaction involved in photosynthesis is 6CO2+6H2O----sunlight----> C

7 Views

Question : Who among the following has won the BBC Sports Personality of the Year 2020 award?

Option 1: Lewis Hamilton

Option 2: Michael Schumacher

Option 3: Tyson Fury

Option 4: Jordan Henderson

Team Careers360 20th Jan, 2024

Correct Answer: Lewis Hamilton


Solution : The correct answer is Lewis Hamilton.

The BBC Sports Personality of the Year 2020 was awarded to Lewis Hamilton. The renowned Formula 1 driver clinched his seventh World Championship title during the 2020 season, matching the record set by Michael Schumacher. Hamilton's exceptional

85 Views

Question : The tax on the salary of C is $\frac{1}{4}$th of the salary and savings are $\frac{1}{3}$rd of the salary. The ratio of the expenditures to the savings is_____.

Option 1: 4 : 5

Option 2: 4 : 3

Option 3: 5 : 4

Option 4: 3 : 4

Team Careers360 17th Jan, 2024

Correct Answer: 5 : 4


Solution : Let the salary of C be $12a$.
⇒ Tax $= 12a × \frac14 = 3a$
And, savings $= 12a × \frac13=4a$
⇒ Expenditure $= 12a - 3a - 4a=5a$
⇒ Ratio of expenditure : saving $= 5a : 4a=5 : 4$
Hence, the

10 Views

Question : The interest accrued on INR 12,000 in two years, when interest is compounded annually, is INR 3,870. What is the rate of interest per annum?

Option 1: 12.5%

Option 2: 10%

Option 3: 20%

Option 4: 15%

Team Careers360 25th Jan, 2024

Correct Answer: 15%


Solution : Principal sum, $P$ = INR 12,000
Term, $n$ = 2 years
Compound interest = INR 3870
Let $R$ be the interest rate.
When compounded annually,
Compound interest = $P(1+\frac{R}{100})^n - P$
⇒ $3870 = 12000(1+\frac{R}{100})^2 - 12000$
⇒ $3870 + 12000 = 12000(1+\frac{R}{100})^2 $
⇒

12 Views

Question : The total surface area of a right pyramid on a square base of side 10 cm with height 12 cm is:

Option 1: 260 cm2

Option 2: 360 cm2

Option 3: 330 cm2

Option 4: 300 cm2

Team Careers360 19th Jan, 2024

Correct Answer: 360 cm2


Solution :

In $\triangle$OAB,
Slant height, $l$ = $\sqrt {h^2 + AB^2}$
= $\sqrt {12^2 + 5^2}$
= $\sqrt{169}$
= $13$ cm
Total surface area = lateral surface area + area of the base
= $\frac{1}{2}$ × perimeter of base × slant height + area

21 Views

Question : Select the most appropriate one word for the expression given below.
Fear of heights.

Option 1: Agoraphobia

Option 2: Claustrophobia

Option 3: Acrophobia

Option 4: Homophobia

Team Careers360 23rd Jan, 2024

Correct Answer: Acrophobia


Solution : The third option is the correct choice.

Explanation: The most appropriate one-word term for the fear of heights is Acrophobia because it precisely denotes the specific phobia related to high places. Acro comes from the Greek word for height or high altitude, and phobia 

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