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Question : If a + b + c = 19, ab + bc + ca = 120, then what is the value of a3 + b3 + c3 – 3abc?
Option 1: 18
Option 2: 23
Option 3: 31
Option 4: 19
Correct Answer: 19
Solution : Given, a + b + c = 19 and ab + bc + ca = 120 We know, a3 + b3 + c3 – 3abc = (a + b + c) [(a + b + c)2 – 3(ab + bc +
Question : The average age of a husband, the wife, and the child 2 years ago was 28 years and the average age of the husband and the child 5 years ago was 21 years. What is the present age of the wife?
Option 1: 38 years
Option 2: 40 years
Option 3: 36 years
Option 4: 42 years
Correct Answer: 38 years
Solution : The average age of a husband, the wife, and the child 2 years ago was 28. So the present average age of the husband, the wife, and the child = 28 + 2 = 30 The average age of the husband and the child
Question : The Industrial Revolution in England represented the climax of the transition from
Option 1: slavery to feudalism
Option 2: feudalism to capitalism
Option 3: capitalism to socialism
Option 4: socialism to market socialism
Correct Answer: feudalism to capitalism
Solution : The correct option is feudalism to capitalism.
According to Karl Marx, capitalism in Europe preceded feudalism, with the Industrial Revolution serving as the pinnacle of the transition from feudalism to capitalism. Marx viewed the Industrial Revolution as a transformative period marked by
Question : The following bar chart shows the revenue (in thousand rupees) generated from the sale of 5 different objects, O1 to O5. The following bar chart shows the profit percentage gained through the sales of these 5 objects. ${\text{Profit percentage}}=\frac{\text { Revenue }- \text { Cost }}{\text { Cost }} \times 100$ What is the cost incurred in the procurement and sale of O1?
Option 1: INR 1,40,000
Option 2: INR 1,20,000
Option 3: INR 1,50,000
Option 4: INR 1,60,000
Correct Answer: INR 1,50,000
Solution : Let the cost of O1 be $x$. ⇒ Profit percentage = $\frac{\text{Revenue – Cost}}{\text{Cost}}×100$ ⇒ $20 = \frac{180000 - x}{x} × 100$ ⇒ $0.2 = \frac{180000 }{x}- 1$ ⇒ $x=\frac{180000 }{1.2}= 150000$ Hence, the correct answer is INR 1,50,000.
Question : Comprehension:
In the following passage, some words have been deleted. Fill in the blanks with the help of the alternatives given. Select the most appropriate option for each number.
Many years ago, high up among (1)______ old Swiss mountains, there lived a man named William Tell. He was a (2)______ hunter and considered to be the best shot in the (3)______ land. At that time, the country was ruled by a (4)______ named Gessler. Gessler was very proud of the power that he had (5)______ his people. He made many harsh laws which the people had to (6)______. He had his hat placed on a tall pole and ordered that anyone who (7)______ that way should bow to his hat. One day William Tell (8)_______ to pass that way. The soldier on duty asked him to bow or face the (9)______. But William Tell boldly refused and said he would never show (10)______ to a hat.
Question:
Select the most appropriate option to fill in the blank No. 7.
Option 1: pass
Option 2: passed
Option 3: will pass
Option 4: has passed
Correct Answer: passed
Solution : The correct choice is the second option.
In this context, passed refers to anyone who moves or goes past the location where Gessler had his hat placed on a tall pole. The sentence implies that Gessler ordered people to bow to his hat if
Question : Raja Parba festival of Odisha is the living cultural heritage and agricultural way of life. It is held for three days in the month of_____.
Option 1: July
Option 2: June
Option 3: September
Option 4: August
Correct Answer: June
Solution : The correct answer is June.
In Odisha, Raja Parba, also called Mithun Sankranti, is a three-day celebration that is lavishly and fervently observed. June 14 is when it begins and concludes on June 16, 2023. The celebration is devoted to praising womanhood and paying
Question : Direction: Naseebah runs for 10 kilometres in the eastern direction. She then turns left and starts walking for 6 kilometres. Again, she turns left and starts running for 6 kilometres. Then she turns left and walks again for 6 km. How far is she from the starting point?
Option 1: 4 km
Option 2: 5 km
Option 3: 6 km
Option 4: 3 km
Correct Answer: 4 km
Solution : As per the given information, movement of Naseeba will look as follows -
In the Given Figure, A is the starting point and E is the finishing point. So, AE is the distance from the starting point.
Here, AB = 6km, BC = CD
Question : Directions: Usha is older than Savitri. Suruchi is younger than Nisha but older than Usha. Taniya is older to Ritu, but younger than Savitri. Manisha is the youngest. Who is the eldest among them?
Option 1: Taniya
Option 2: Usha
Option 3: Manisha
Option 4: Nisha
Correct Answer: Nisha
Solution : Given: (I) Usha is older than Savitri. Taniya is older to Ritu, but younger than Savitri. Usha > Savitri > Taniya > Ritu (II) Suruchi is younger than Nisha but older than Usha. Manisha is the youngest. After combining all the statements – Nisha >
Question : Rouff is a folk dance. It has its origins in _____.
Option 1: Jammu and Kashmir
Option 2: Mizoram
Option 3: Meghalaya
Option 4: Tripura
Correct Answer: Jammu and Kashmir
Solution : The correct answer is Jammu and Kashmir.
One of the most well-known dance styles from Jammu and Kashmir is called Rouff. It is a dance that is performed at the start of the spring season. Rouff dancing originated in the Muslim community
Question : Improve the underlined part of the sentence. Choose 'No improvement' as an answer if the sentence is grammatically correct.
Though a foreigner, Mother Teresa settle in Calcutta and made it her home.
Option 1: settle over Calcutta as
Option 2: settling in Calcutta or
Option 3: No improvement
Option 4: settled in Calcutta and
Correct Answer: settled in Calcutta and
Solution : The fourth option is correct.
The sentence is in the past tense, so the correct form of the verb should be used. "Settle" should be in the past tense to match the timeline of the action. The past tense of "settle" is
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