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Question : The LCM of the two numbers is 660 and their HCF is 5. If one of the numbers is 55, find the other.
Option 1: 275
Option 2: 12
Option 3: 110
Option 4: 60
Correct Answer: 60
Solution : Given: LCM = 660 HCF = 5 One of the numbers = 55 Let the other number be a. We know that, LCM × HCF = product of two numbers ⇒ 660 × 5 = 55 × a ⇒ a = 60 Hence, the correct
Question : Select the option that can be used as a one-word substitute for the given group of words.
A keeper or custodian of a museum
Option 1: Creator
Option 2: Developer
Option 3: Master
Option 4: Curator
Correct Answer: Curator
Solution : The correct choice is the fourth option.
A curator is a person who is responsible for managing and organising objects of cultural significance in museums. This makes it the correct one-word substitute.
The meanings of the other options are as follows:
Question : Ranu carries water to school in a cylindrical flask with a diameter of 12 cm and a height of 21 cm. Determine the amount of water that she can carry in the flask. (Use $\pi=\frac{22}{7}$)
Option 1: 2372 cm3
Option 2: 2370 cm3
Option 3: 2376 cm3
Option 4: 2374 cm3
Correct Answer: 2376 cm3
Solution : Given: Diameter of a cylindrical flask = 12 cm radius = 6 cm Height = 21 cm Volume of the cylinder = $\pi r^{2}h$ Volume of the cylinder = $\frac{22}{7}×6×6×21$ = $2376 \mathrm{~cm}^3$ Hence, the correct answer is 2376 cm3.
Question : The mean proportion of numbers 0.049 and 0.9 is:
Option 1: 0.021
Option 2: 0.21
Option 3: 0.63
Option 4: 21
Correct Answer: 0.21
Solution : According to the question, $c = \sqrt {ab}$ Where c is the mean proportion of a and b Now, the mean proportion of 0.049 and 0.9 = $\sqrt{0.049 \times 0.9}$ = $0.21$ Hence, the correct answer is 0.21.
Question : Select the option that will improve the (bracketed) part of the sentence. In the case of no improvement, select the option 'No improvement'. The play was (either as funny or as) disturbing as Shivang told it was.
Option 1: neither as funny nor as
Option 2: No improvement
Option 3: either as funny nor as
Option 4: neither as funny or as
Correct Answer: neither as funny nor as
Solution : The correct answer is the first option.
To make the sentence grammatically correct, "neither-nor" should be used. This construction maintains the parallel structure and accurately conveys the idea that the play was not as humorous or disturbing as Shivang described.
So,
Question : Directions: In the following question, some parts of the sentence have errors, and some are correct. Find out which part of the sentence has an error. The number of that part is the answer. If a sentence is error-free, your answer is "No Error".
Reading is no longer popular among the youthful of today, as the influence of the internet has taken over a very important and active hobby.
(1) among the youthful of today
(2) very important and active hobby.
(3) influence of the internet
(4) No Error
Option 1: (1)
Option 2: (2)
Option 3: (3)
Option 4: (4)
Correct Answer: (1)
Solution : The error lies in the first option of the question.
Youthful is an adjective and should be replaced with youth, which is a noun, to make it grammatically correct. Youth is the correct term to refer to young people collectively.
Therefore, the correct sentence is:
Question : The weight of an object on the moon is equal to ______ of its weight on the earth.
Option 1: 1/10th
Option 2: 1/6th
Option 3: 1/8th
Option 4: 1/4th
Correct Answer: 1/6th
Solution : The correct option is 1/6th.
The weight of an object on the moon is approximately 1/6th of its weight on Earth. This is because the force of gravity on the moon is about 1/6th of the gravity on Earth. The weight formula is W =
Question : The radius of a circle is 10 cm. The distance of chord PQ from the centre is 8 cm. What is the length of chord PQ?
Option 1: 16 cm
Option 2: 15 cm
Option 3: 12 cm
Option 4: 14 cm
Correct Answer: 12 cm
Solution : Given: The radius of a circle = PA = 10 cm The distance of chord PQ from the centre = OA = 8 cm Using Pythagoras's theorem, $PA^2=OP^2-OA^2$ ⇒ $PA^2=10^2-8^2$ ⇒ $PA^2=100-64$ ⇒ $PA^2=36$ ⇒ $PA=6$ $\therefore PQ = 2\times PA=2\times6=12\ \text{cm}$ Hence, the
Question : The Barren Island is situated in the_________.
Option 1: Andaman Sea
Option 2: Gulf of Mannar
Option 3: Arabian Sea
Option 4: Bay of Bengal
Correct Answer: Andaman Sea
Solution : The correct answer is the Andaman Sea.
Barren Island is situated in the Andaman Sea, and it is the only active volcano in the Indian subcontinent. The highest peak of the Andaman and Nicobar Islands is Saddle Peak, which is located in the
Question : Who among the following is known as the 'Napoleon of India' ?
Option 1: Chandragupta
Option 2: Samudragupta
Option 3: Harshavardhana
Option 4: Ashoka
Correct Answer: Samudragupta
Solution : The correct answer is Samudragupta
Samudragupta is referred to as the "Indian Napoleon." Historian A V Smith named him after his enormous military achievements, which are described in the 'Prayag Prashati' by his courtier and poet Harisena, who also depicts him as the hero of
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