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34 Views

Question : The longest side of the obtuse triangle is 7 cm and the other two sides of the triangle are 4 cm and 5 cm. Find the area of the triangle.

Option 1: $1 \sqrt{3} \mathrm{~cm}^2$

Option 2: $6 \sqrt{3} \mathrm{~cm}^2$

Option 3: $3 \sqrt{2} \mathrm{~cm}^2$

Option 4: $4 \sqrt{6} \mathrm{~cm}^2$

Team Careers360 25th Jan, 2024

Correct Answer: $4 \sqrt{6} \mathrm{~cm}^2$


Solution : Given triangle is an obtuse triangle as $7^2 > 4^2 + 5^2$.
Semi perimeter of the triangle($s$) = $\frac{7+4+5}{2}$ = 8 cm
$\therefore$ Area of the triangle
= $\sqrt{8(8-7)(8-4)(8-5)}$
= $\sqrt{8×(1)×(4)×(3)}$
= $\sqrt{96}$
= $\sqrt{16×6}$
= $4\sqrt{6} \mathrm{~cm}^2$
Hence, the correct answer is

10 Views

Question : Directions: In the following question, out of the four alternatives, select the alternative that will improve the bracketed part of the sentence. In case no improvement is needed, select "No Improvement".

If you talk to her nicely, she will probably (allow you) her notes.

(1) allow that you have

(2) let you have

(3) let you to have

(4) No Improvement

Option 1: 1

Option 2: 2

Option 3: 3

Option 4: 4

Team Careers360 21st Jan, 2024

Correct Answer: 2


Solution : The second option is appropriate because the phrase 'allow you' does not fit in the sentence, while 'let you have' which means 'allowing someone for something' contextually completes the meaning of the sentence.

The first option 'allow that you have' does not make sense and

45 Views

Question : The weights (in kg) of five girls in a class are 49, 42, 61, 55, and 58. What is the average weight (in kg) of these five girls?

Option 1: 53

Option 2: 54

Option 3: 51

Option 4: 52

Team Careers360 24th Jan, 2024

Correct Answer: 53


Solution : The weights (in kg) of five girls are 49, 42, 61, 55 and 58.
Average weight $ = \frac{\text{Total weight of all the girls}}{\text{Number of girls}} =\frac{49 + 42 + 61 + 55 + 58}{5}=\frac{265}{5} = 53$ kg
Hence, the correct answer is 53 kg.

20 Views

Question : Directions: Select the correct mirror image from the following options, where the mirror is placed on the right side of the given figure.

Option 1:

Option 2:

Option 3:

Option 4:

Team Careers360 21st 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. So, the left side of the reflected image will appear as the right

177 Views

Question : A Shopkeeper marked the price as INR 15,000 on an article, and a successive discount of 5%, 10% and 20% was allowed on it. What is the selling price?

Option 1: INR 10,260

Option 2: INR 13,520

Option 3: INR 11,520

Option 4: INR 9,850

Team Careers360 19th Jan, 2024

Correct Answer: INR 10,260


Solution : A successive discount of 5%, 10%, and 20% means that these discounts are applied one after another
For three successive discounts of 5%, 10%, and 20%,
Selling price = $\frac{100-\text{Discount}_1\%}{100}× \frac{100-\text{Discount}_2\%}{100}×\frac{100-\text{Discount}_3\%}{100}×$ marked price
⇒ Selling price $=\frac{100-5}{100}×\frac{100-10}{100}×\frac{100-20}{100}×15000$
⇒ Selling price $=\frac{95}{100}×\frac{90}{100}×\frac{80}{100}×15000$
⇒ Selling price

20 Views

Question : Directions: If a mirror is placed on Line AB, which of the answer figures is the right image of the given figure?

Option 1:

Option 2:

Option 3:

Option 4:

Team Careers360 21st Jan, 2024

Correct Answer:


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

14 Views

Question : As per the 2011 Census, what is the population density of India?

Option 1: 482 persons/km²

Option 2: 328 persons/km²

Option 3: 382 persons/km²

Option 4: 282 persons/km²

Team Careers360 23rd Jan, 2024

Correct Answer: 382 persons/km²


Solution : The correct answer is 382 persons/km².

Based on the 2011 Census, India has a population density of 382 persons per square kilometre. This indicates that every square kilometre of land in India has an average of 382 people living on it. India's population density

16 Views

Question : Directions: Marks of five girls Mansi, Kajal, Reetu, Tina, and Riya are compared. Marks of Riya is less than Mansi but more than Tina. Marks of Reetu are less than Tina, Riya, and Mansi. Marks of Kajal are less than Reetu. Marks of how many girls are less than the marks of Tina?

Option 1: 2

Option 2: 1

Option 3: 4

Option 4: 3

Team Careers360 20th Jan, 2024

Correct Answer: 2


Solution : Given:
(I) Marks of Riya is less than Mansi but more than Tina.
Mansi > Riya > Tina
(II) Marks of Reetu are less than Tina, Riya, and Mansi. Marks of Kajal are less than Reetu. After combining all the statements –
Mansi > Riya

16 Views

Question : Select the appropriate antonym for the underlined word.

The tension is going to be crucial in determining the fate of your company.

Option 1: surgical

Option 2: decisive

Option 3: trivial

Option 4: pivotal

Team Careers360 22nd Jan, 2024

Correct Answer: trivial


Solution : The third option is the correct choice.

Crucial implies something of utmost importance, critical, or decisive, as seen in the sentence where the tension is stated to be crucial in determining the fate of the company. On the other hand, trivial means of little significance,

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