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33 Views

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

She reduced the volume because the ______music was becoming too much for her.

Option 1: concede

Option 2: content

Option 3: constant

Option 4: competent

Team Careers360 15th Jan, 2024

Correct Answer: constant


Solution : The correct choice is the third option.

The word constant in this context suggests that the music was unvarying, continuous, or persistent. It was likely playing at the same level or intensity without significant changes, making it overwhelming for the person. 

Therefore, the complete sentence

67 Views

Question : If the price is decreased by 25%, then by how much percentage of consumption should be increased, so that the expenditure remains the same?

Option 1: 20%

Option 2: 40%

Option 3: 37.5%

Option 4: 33.33%

Team Careers360 22nd Jan, 2024

Correct Answer: 33.33%


Solution : Let the price be INR 100.
If the price decreases by 25%, then the decreased price
= 75% of 100
= INR 75
Increase needed = 100 – 75 = 25
Required percentage = $\frac{25}{75}$ × 100
= 33.33%
Hence, the correct answer is 33.33%.

18 Views

Question : World No Tobacco Day is observed on:

Option 1: 31st May

Option 2: 21st May

Option 3: 1st May

Option 4: 5th June

Team Careers360 15th Jan, 2024

Correct Answer: 31st May


Solution : The correct option is 31st May.

The world observes No Tobacco Day on May 31 every year. The annual observance educates the public about the risks of tobacco use, what the World Health Organisation (WHO) is doing to combat tobacco use, and what

9 Views

Question : Directions: Pointing towards a girl, Shilpa said, “She is the daughter of my husband’s wife”. How is Shilpa’s son related to that girl?

Option 1: Son

Option 2: Paternal Uncle

Option 3: Brother

Option 4: Nephew

Team Careers360 19th Jan, 2024

Correct Answer: Brother


Solution : As per the given information, the family tree will be as follows –

Here, the quadrilateral represents the male, and the circular figure represents the female in the figure.

So, Shilpa’s son is the brother of that girl. Hence, the third option is correct.

2104 Views

Question : If the highest common factor (HCF) of x and y is 15, then the HCF of 36x– 81y2 and 81x– 9y2 is divisible by ________.

Option 1: 135

Option 2: 120

Option 3: 180

Option 4: 90

Team Careers360 23rd Jan, 2024

Correct Answer: 135


Solution : The factor of 36x2 – 81y2 = 9 × (4x2 - 9y2)
The factor of 81x2 – 9y2 = 9 × (9x2 - y2)
So, the HCF of (36x2 – 81y2) and

12 Views

Question : Directions: In the following question, a sentence is given with a blank that is to be filled in with an appropriate word. Four alternatives are suggested; choose the correct alternative out of them as your answer.
I've ____ finished painting the house.

Option 1: about

Option 2: nearing

Option 3: towards

Option 4: almost

Team Careers360 25th Jan, 2024

Correct Answer: almost


Solution : The fourth option is the correct answer: almost.

These words are prepositions or adverbs that indicate various aspects of direction, proximity, or relation in a sentence. "almost" means "nearly or close to but not quite." and this is the only option that

25 Views

Question : If $x=(7+3 \sqrt{5})$, then find the value of $x^2+\frac{1}{x^2}$.

Option 1: $ \frac{580+315 \sqrt{5}}{8}$

Option 2: $\frac{799+328 \sqrt{5}}{8}$

Option 3: $\frac{799+315 \sqrt{5}}{12}$

Option 4: $\frac{799+315 \sqrt{5}}{8}$

Team Careers360 25th Jan, 2024

Correct Answer: $\frac{799+315 \sqrt{5}}{8}$


Solution : Given, $x=(7+3 \sqrt{5})$
Squaring both sides, we get,
$x^2=(7+3 \sqrt{5})^2$
⇒ $x^2=49+9\times 5+2\times 7\times 3\sqrt5$ [As $(a+b)^2=a^2+b^2+2ab$]
⇒ $x^2=49+45+42\sqrt5$
⇒ $x^2=94+42\sqrt5$
And, $\frac{1}{x^2}=\frac{1}{(7+3\sqrt5)^2}=\frac{1}{94+42\sqrt5}$
Rationalising the equation,
⇒ $\frac{1}{x^2}=\frac{1}{94+42\sqrt5}\times\frac{{94-42\sqrt5}}{{94-42\sqrt5}}$
⇒ $\frac{1}{x^2}=\frac{{94-42\sqrt5}}{(94)^2-(42\sqrt5)^2}$
⇒ $\frac{1}{x^2}=\frac{{94-42\sqrt5}}{8836-8820}$
⇒ $\frac{1}{x^2}=\frac{{94-42\sqrt5}}{16}$
⇒ $\frac{1}{x^2}=\frac{{47-21\sqrt5}}{8}$
Now, $x^2+\frac{1}{x^2}$
Putting the value of $x^2$ and

16 Views

Question : Direction: Rajat moves from his office straight to the canteen at a distance of 12 metres. Then he turned left and walked for 2 metres. Then he turns left again and walks straight for 12 metres. How far is he from his office?

Option 1: 10 meters

Option 2: 12 meters

Option 3: 8 meters

Option 4: 2 meters

Team Careers360 18th Jan, 2024

Correct Answer: 2 meters


Solution : As per the given information, movement of Rajat will look as follows - 

According to the one of the properties of rectangle i.e. opposite sides are equal and parallel to each other, the distance between Rajat's office and the end point will be 2

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