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13 Views

Question : What is the value of m in the quadratic equation $x^{2}+mx+24=0$, if one of its roots is $\frac{3}{2}$.

Option 1: $–\frac{45}{2}$

Option 2: $16$

Option 3: $–\frac{21}{2}$

Option 4: $–\frac{35}{2}$

Team Careers360 24th Jan, 2024

Correct Answer: $–\frac{35}{2}$


Solution : Given: $x^{2}+mx+24=0$
One of its roots is $\frac{3}{2}$.
Putting $x=\frac{3}{2}$ into the equation, we have,
$(\frac{3}{2})^{2}+m(\frac{3}{2})+24=0$
⇒ $\frac{9}{4}+\frac{3m}{2}+24=0$
⇒ $\frac{3m}{2}=–(\frac{9+96}{4})$
⇒ $m=–\frac{105}{4}×\frac{2}{3}$
⇒ $m=–\frac{35}{2}$
Hence, the correct answer is $–\frac{35}{2}$.

11 Views

Question : Article 23 and Article 24 of the Indian Constitution deal with which of the following Fundamental Rights?

Option 1: Right against Exploitation

Option 2: Right to Freedom

Option 3: Right to Equality

Option 4: Right to Freedom of Religion

Team Careers360 24th Jan, 2024

Correct Answer: Right against Exploitation


Solution : The correct option is Right against Exploitation.

The Indian Constitution forbids the exploitation of fundamental rights. The Indian Constitution forbids several forms of exploitation, including child work, Indentured servitude, slavery, and beggarism. Articles 23 and 24, which address the right against exploitation, ensure

19 Views

Question : Successive discounts of 20% and 10% are given on an item marked at Rs. 700. Find the selling price.

Option 1: Rs. 504

Option 2: Rs. 196

Option 3: Rs. 582

Option 4: Rs. 601

Team Careers360 23rd Jan, 2024

Correct Answer: Rs. 504


Solution : Successive discounts 20% and 10% are equivalent to $(20+10-\frac{20×10}{100}) = (30- 2) = 28$%
The item is marked at Rs. 700.
Then the selling price = $(700×\frac{100-28}{100}) = (7×72)$ = Rs. 504
Hence, the correct answer is Rs. 504.

16 Views

Question : The sides of the three cubes of metal are $15 \text{ cm}, 18 \text{ cm}$ and $25 \text{ cm}$, respectively. Find the side (in $\text{cm}$) of the new cube formed by melting these cubes together.

Option 1: $9 \sqrt[3]{388}$

Option 2: $6 \sqrt[3]{388}$

Option 3: $7 \sqrt[3]{388}$

Option 4: $4 \sqrt[3]{388}$

Team Careers360 19th Jan, 2024

Correct Answer: $4 \sqrt[3]{388}$


Solution : Let the side of the new cube be $a\text{ cm}$.
Volume of 1st cube, $V{_1} = 15^3 = 3375\text{ cm}^3$
Volume of 2nd cube, $V{_2} = 18^3 =5832 \text{ cm}^3$
Volume of 3rd cube, $V{_3} = 25^3 = 15625\text{ cm}^3$
$\therefore$ Volume of new

22 Views

Question : Select the most appropriate meaning of the given idiom.
Give a cold shoulder

Option 1: Start doing something before the appropriate time

Option 2: Be guiltless.

Option 3: Think only of one thing.

Option 4: Ignore, avoid or be unfriendly towards someone.

Team Careers360 14th Jan, 2024

Correct Answer: Ignore, avoid or be unfriendly towards someone.


Solution : The correct choice is the fourth option.

The idiom "give a cold shoulder" means to ignore, avoid, or be unfriendly towards someone. It implies a lack of warmth or welcoming behaviour, often indicating a deliberate effort to snub

70 Views

Question : Which of the following is a kind of Xanthan?

Option 1: Seed gum

Option 2: Seaweed gum

Option 3: Microbial gum

Option 4: Exudate gum

Team Careers360 22nd Jan, 2024

Correct Answer: Microbial gum


Solution : The correct option is Microbial gum.

A ubiquitous food ingredient is one of the several commercial applications for the polysaccharide xanthan gum. It works well as a stabiliser and thickening agent to keep components from separating. Xanthan gum can dramatically raise a liquid's viscosity.

15 Views

Question : Which of the following countries is not a member of SAARC (South Asian Association for Regional Cooperation)?

Option 1: Pakistan

Option 2: Myanmar

Option 3: Afghanistan

Option 4: Bhutan

Team Careers360 13th Jan, 2024

Correct Answer: Myanmar


Solution : The correct option is Myanmar.

The South Asian Association for Regional Cooperation is known by its acronym, SAARC. The formation date was December 8, 1985. It was founded to encourage regional growth and collaboration between South Asian nations. Its headquarters are located in Kathmandu, Nepal.

12 Views

Question : The manufacture of iron from iron ore involves the process of

Option 1: Oxidation

Option 2: Reduction

Option 3: Fractinal distilltion

Option 4: Electrolysis

Team Careers360 13th Jan, 2024

Correct Answer: Reduction


Solution : The correct answer is reduction.

Naturally iron ore exists in the form of metal oxides i.e Fe2O3. Iron is extracted from it through heating with carbon and limestone in blast furnace. It involves reducing the metal oxide into the pure metal

21 Views

Question : Directions: In a certain code language, MODERN is written as 4681095, and TRACT is written as 29262. How will BELGIUM be written in that code language?

Option 1: 251278214

Option 2: 4103141834

Option 3: 4103149313

Option 4: 410379313

Team Careers360 18th Jan, 2024

Correct Answer: 4103141834


Solution : Given:
MODERN is written as 4681095, and TRACT is written as 29262. 

To obtain the code, multiply two by the place value of the letters with one digit and find the sum of the digits of the place value of the letters with more than

6 Views

Question : Who was the other Congress leader who joined with Motilal Nehru to start the Swaraj Party in 1923 ?

Option 1: B.G. Tilak

Option 2: Chittaranjan Das

Option 3: M.K. Gandhi

Option 4: G.K. Gokhale

Team Careers360 23rd Jan, 2024

Correct Answer: Chittaranjan Das


Solution : The Correct Answer is Chittaranjan Das

On January 1st, 1923, Motilal Nehru, Chittaranjan Das, and other members of the Indian National Congress founded the Swaraj party. C R Das presided as president, and Motilal Nehru served as secretary. This party's constitution and program were

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