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Question : The average of three numbers is 135. The largest number is 195 and the difference between the other two is 20. The smallest number is:
Option 1: 65
Option 2: 95
Option 3: 105
Option 4: 115
Correct Answer: 95
Solution : Given: The average of the three numbers is 135. The largest number is 195. According to the question, Let the smallest number be x then the other number will be (x + 20). The sum of number = 135 × 3 = 405 Now, 195
Question : Which of the following Articles of the Indian Constitution prohibits forced labour and prevents exploitation?
Option 1: Article 20
Option 2: Article 19
Option 3: Article 25
Option 4: Article 23
Correct Answer: Article 23
Solution : The correct answer is Article 23.
Article 23 of the Indian Constitution prohibits forced labour and trafficking. It states that no person shall be subjected to forced labour, and the state is mandated to prohibit human trafficking and forced labour while allowing compulsory
Question : If $\cos \theta+\sec \theta=\sqrt{3}$, then the value of $\cos ^3 \theta+\sec ^3 \theta$ is:
Option 1: $0$
Option 2: $\frac{1}{\sqrt{3}}$
Option 3: $\sqrt{3}$
Option 4: $2 \sqrt{3}$
Correct Answer: $0$
Solution : Given, $\cos \theta+\sec \theta=\sqrt{3}$ Cubing both sides, we get, $⇒\cos^3\theta + \sec^3\theta+3\cdot\cos\theta\cdot\sec\theta(\cos \theta+\sec \theta)=3\sqrt3$ ⇒ $\cos^3\theta+\sec^3\theta+3\times 1(\sqrt3)=3\sqrt3$ [$\because \cos\theta=\frac{1}{\sec\theta}$] ⇒ $\cos^3\theta+\sec^3\theta+3\sqrt3=3\sqrt3$ ⇒ $\cos^3\theta+\sec^3\theta=0$ Hence, the correct answer is $0$.
Question : Sanjay and Rohan can complete a work in 8 days and 12 days, respectively. Starting with Sanjay, they work on alternate days. In how many days will the work be completed?
Option 1: $8 \frac{1}{2}$
Option 2: $9 \frac{1}{2}$
Option 3: $9 \frac{2}{3}$
Option 4: $9 \frac{1}{3}$
Correct Answer: $9 \frac{1}{2}$
Solution : Time taken by Sanjay to complete the work = 8 days Part of work done by Sanjay in a day = $\frac{1}{8}$ Time taken by Rohan to complete the work = 12 days Part of work done by Rohan in a day = $\frac{1}{12}$
Question : Select the sentences that contain no spelling errors.
Option 1: My mother asked me to purchase two bread knives having serrated edges.
Option 2: My mother asked me to purchase two bread knives having seerated edges.
Option 3: My mother asked me to purchase two bread knives having serratted edges.
Option 4: My mother asked me to purchase two bread knives having serated edges.
Correct Answer: My mother asked me to purchase two bread knives having serrated edges.
Solution : The correct option is the first option.
Explanation The sentence is well-structured and uses the correct spelling for each word, conveying the clear message that your mother wants you to buy two knives specifically
Question : Select the most appropriate meaning of the given idiom.
At the eleventh hour
Option 1: Time for debate
Option 2: Very late in the evening
Option 3: A state of confusion
Option 4: Just before the deadline
Correct Answer: Just before the deadline
Solution : The fourth option is correct.
This idiom is derived from the biblical parable of the labourers in the vineyard, where workers were hired throughout the day, but those hired at the eleventh hour received the same payment as the others. Over time,
Question : Directions: Which of the following numbers will replace the question mark (?) in the given series? 46, 50, 58, 70, 86, 106, ?
Option 1: 280
Option 2: 130
Option 3: 150
Option 4: 140
Correct Answer: 130
Solution : Given: 46, 50, 58, 70, 86, 106, ?
Add multiples of 4 to the previous number to get the next number. 46 + 4 = 50; 50 + 8 = 58; 58 + 12 = 70; 70 + 16 = 86; 86 + 20 =
Question : Which festival has the meaning 'to boil' or 'boiling' in its name?
Option 1: Pongal
Option 2: Onam
Option 3: Raja
Option 4: Bihu
Correct Answer: Pongal
Solution : The correct answer is Pongal.
A harvest celebration known as Pongal is observed by the Tamil population. Pongal, which is observed over four days, ushers in the Tamil month of Thai, which is seen as fortunate. Every year, it usually occurs on January 14 or
Question : Baisakhi is the famous festival of which of the following states/union territories?
Option 1: Bihar
Option 2: Andaman and Nicobar
Option 3: Punjab
Option 4: Jammu and Kashmir
Correct Answer: Punjab
Solution : The correct option is Punjab.
Baisakhi is a famous festival primarily celebrated in Punjab. It marks the Sikh New Year and commemorates the formation of the Khalsa Panth by Guru Gobind Singh, the tenth Sikh Guru, in 1699. Baisakhi is also observed as a
Question : Which of the following parts of the Indian Constitution ensures social and economic democracy?
Option 1: Emergency provisions
Option 2: Centre-State relations
Option 3: Directive Principles of State Policy
Option 4: None of the above
Correct Answer: Directive Principles of State Policy
Solution : The correct option is Directive Principles of State Policy.
The Directive Principles of State Policy (DPSP) are the section of the Indian Constitution that assures social and economic democracy. These principles are not enforceable by the courts; rather, they are directives
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