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Question : If a( a + b + c) = 45, b( a + b + c) = 75, and c( a + b + c) =105, then what is the value of a2 + b2 + c2?
Option 1: 75
Option 2: 83
Option 3: 217
Option 4: 225
Correct Answer: 83
Solution : a(a + b + c) = 45 ------------------------- (1) b(a + b + c) = 75 ------------------------- (2) c(a + b + c) = 105 ------------------------ (3) Adding (1), (2), and (3), we get (a + b + c)2 = 225 ⇒ (a +
Question : The average of a, b, and c is 20, and that of b, c, and d is 25. If d = 30, then the value of a is:
Option 1: 25
Option 2: 45
Option 3: 30
Option 4: 15
Correct Answer: 15
Solution : The average of a, b, and c is 20, and that of b, c, and d is 25. a + b+ c = 3 × 20 = 60 ---(i) b + c+ d = 3 × 25 = 75 ---(ii) Solving equations (i) and (ii),
Question : Which of the following countries won the highest number of golds in the Paralympics 2020?
Option 1: China
Option 2: Australia
Option 3: US
Option 4: Great Britain
Correct Answer: China
Solution : The correct option is China.
At the 2020 Summer Paralympics held in Tokyo, Japan, China topped the medal table with a total of 207 medals, including 96 gold, 60 silver and 51 bronze medals. China's athletes demonstrated exceptional skill and determination, earning them numerous
Question : A bus starts running with an initial speed of 21 km/hr, and its speed increases by 3 km/hr every hour. How many hours will it take to cover a distance of 252 kilometres?
Option 1: 3
Option 2: 5
Option 3: 8
Option 4: 10
Correct Answer: 8
Solution : Given: Initial speed ($a$) = 21 km/hr Increase in speed every hour ($d$) = 3 km/hr This is an arithmetic progression, with the initial number ($a$) = 21 and the common difference ($d$) = 3 Also, the sum of A.P. = $\frac{n}{2}[2a + (n -
Question : "Gangaur" is an Indian festival majorly celebrated in ________.
Option 1: Rajasthan
Option 2: Himachal Pradesh
Option 3: Tripura
Option 4: Arunachal Pradesh
Correct Answer: Rajasthan
Solution : The correct answer is Rajasthan.
The Gangaur festival is a vibrant celebration observed in several regions of Central and Western India, particularly in Rajasthan. During this festival, women enthusiastically worship and seek the blessings of Goddess Parvati, also known as Gauri.
Question : Directions: In the following question, some parts of the sentence may have errors. Find out which part of the sentence has an error and select the appropriate option. If the sentence is free from error, select 'No Error'.
Mohan leapt (1) / on the opportunity (2) / that came his way. (3) / No Error (4)
Option 1: (1)
Option 2: (2)
Option 3: (3)
Option 4: (4)
Correct Answer: (2)
Solution : The correct choice is the second option.
Explanation: The preposition ''on'' should be replaced by ''at''. "Leap at" means to eagerly take or accept a chance or an opportunity. It means that Mohan eagerly took the opportunity that came his way.
Therefore, the
Question : According to the 2011 Census, what is the difference in the male and female literacy rates in India?
Option 1: 14.96%
Option 2: 15.23%
Option 3: 17.98%
Option 4: 16.68%
Correct Answer: 16.68%
Solution : The correct answer is 16.68%.
The literacy rate is 82.14% for males and 65.46% for females, revealing a 16.68% gender gap in literacy rates. The census indicates an overall increase in literacy in India, with a national literacy rate of 74.04%.
Question : Select the option that expresses the given sentence in the direct speech. The manager said that he would be on leave the next day.
Option 1: The manager has said, "I will be on leave tomorrow".
Option 2: The manager said, "I would be on leave that day".
Option 3: The manager has said, "He will be on leave today".
Option 4: The manager said, "I will be on leave tomorrow".
Correct Answer: The manager said, "I will be on leave tomorrow".
Solution : The fourth option is correct.
Narration conversion:
Therefore, the correct
Question : Directions: Select the missing number from the given responses.
Option 1: 36
Option 2: 40
Option 3: 38
Option 4: 42
Correct Answer: 38
Solution : The difference between the first and second rows is the same as that of the difference between the second and third rows.
In the first row; 92 – 70 = 22→70 – 48 = 22 In the second row; 64 – 53 = 11→53 –
Question : P, Q and R together can complete a work in 40 days. P and Q together can complete the same work in 90 days. Then R alone can complete the same work in how many days?
Option 1: 40 days
Option 2: 72 days
Option 3: 84 days
Option 4: 90 days
Correct Answer: 72 days
Solution : Given: P, Q, and R together can complete a work in 40 days and P and Q together can complete the same in 90 days. Total work = Efficiency × Time Total work is LCM of (40, 90) = 360 units Efficiency of (P
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