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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: $–\frac{35}{2}$
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 $–\frac{35}{2}$.
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
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
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
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.
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: $4 \sqrt[3]{388}$
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
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.
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
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
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.
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
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.
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
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
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
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
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
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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