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Question : What is the fourth proportional to 24, 120, and 22?
Option 1: 110
Option 2: 120
Option 3: 100
Option 4: 90
Correct Answer: 110
Solution : The fourth proportion to 24, 120, and 22 is found using the formula. If $a:b = c:d$, then $d = \frac{b×c}{a}$ We have, Let $a = 24, b = 120$, and $c = 22$ $d = \frac{120×22}{24}$ $\therefore d$ = 110 Hence, the correct answer
Question : What is the length (in cm) of the transverse common tangent between two circles with radii 6 cm and 4 cm, given that the distance between their centres is 14 cm?
Option 1: $2 \sqrt{6}$
Option 2: $4 \sqrt{6}$
Option 3: $5 \sqrt{6}$
Option 4: $3 \sqrt{6}$
Correct Answer: $4 \sqrt{6}$
Solution : The length of the transverse common tangent between two circles can be found using the formula: $\text{Length} = \sqrt{{d^2 - (r_1 + r_2)^2}}$ Where: $d$ is the distance between the centres of the two circles, \(r_1\) and \(r_2\) are the radii of the two
Question : The average kinetic energy of the molecules of an ideal gas is directly proportional to:
Option 1: velocity of molecules
Option 2: mass of molecules
Option 3: absolute temperature of the gas
Option 4: temperature of environment
Correct Answer: absolute temperature of the gas
Solution : The correct option is absolute temperature of the gas.
An ideal gas's average molecular kinetic energy (KE) is directly proportional to its temperature (T), expressed in Kelvin. The average kinetic energy of molecules in an ideal gas increases with temperature and
Question : Parts of the following sentence have been given as options. Select the option that contains an error. The lack of mutual bonding was conspicuous from their shody body language in the marriage party.
Option 1: conspicuous
Option 2: shody
Option 3: marriage
Option 4: mutual
Correct Answer: shody
Solution : The error lies in the second option.
The correct spelling should be shoddy, which means poor quality or inferior workmanship.
The meanings of the other options are as follows:
Question : College P has 180 students scoring average marks of 88 and college Q has 320 students scoring average marks of 72. Find the average marks of both colleges together.
Option 1: 82.00
Option 2: 75.25
Option 3: 77.76
Option 4: 80.00
Correct Answer: 77.76
Solution : College P has 180 students with average marks of 88. Total marks of college P are (180 × 88) = 15840 College Q has 320 students with average marks of 72. Total marks of college Q are (320 × 72) = 23040 So, total marks
Question : During which of the following periods did Morarji Desai serve as the Deputy Prime Minister of India?
Option 1: 1967-1969
Option 2: 1970-1971
Option 3: 1964-1966
Option 4: 1966-1967
Correct Answer: 1967-1969
Solution : The correct option is 1967-1969
Morarji Desai served as the Deputy Prime Minister of India during the period from 1967 to 1969. His tenure as Deputy Prime Minister coincided with his role as the Finance Minister, and he played a key role in
Question : Select the most appropriate synonym of the given word. August
Option 1: Imminent
Option 2: Eminent
Option 3: Permanent
Option 4: Illicit
Correct Answer: Eminent
Solution : The second option is the correct answer.
August refers to something or someone who is respected and impressive, often associated with dignified authority or significance. Similarly, eminent refers to someone or something standing out prominently, especially in terms of reputation, skill, or achievement.
The meanings
Question : Study the given table and answer the question that follows.
Which of the cereals shows a continuous increase in its production over the years?
Option 1: Barley
Option 2: Others
Option 3: Wheat
Option 4: Rice
Correct Answer: Barley
Solution : From the table, we can see that the production of Barley has shown a continuous increase over the years. The production has increased every year from 2500 million tonnes in 2016 to 6100 million tonnes in 2020. Hence, the correct answer is Barley.
Question : Directions: A paper is folded and cut as shown below. How will it appear when unfolded?
Option 1:
Option 2:
Option 3:
Option 4:
Correct Answer:
Solution : When the given folded paper is unfolded, it will look like this –
Hence, the fourth option is correct.
Question : Direction: Arrange the given words in the meaningful and ascending order and select the option indicating the correct order.
1.Pages 2.Book rack 3.Library 4.Books 5.Catalogue
Option 1: 2, 5, 4, 3, 1
Option 2: 1, 5, 4, 3, 2
Option 3: 1, 4, 2, 5, 3
Option 4: 4, 1, 2, 5, 3
Correct Answer: 1, 4, 2, 5, 3
Solution : Given:
Arrange the given words in the meaningful order as follows –
Pages → Books → Book rack → Catalogue → Library.
Therefore, the order is 1, 4, 2, 5, 3.
Hence, the
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