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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

Team Careers360 13th Jan, 2024

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

10 Views

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

Team Careers360 12th Jan, 2024

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:

  • creator is
18 Views

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

Team Careers360 21st Jan, 2024

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.

138 Views

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

Team Careers360 21st Jan, 2024

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.

30 Views

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

Team Careers360 22nd Jan, 2024

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,

59 Views

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

Team Careers360 12th Jan, 2024

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 =

16 Views

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

Team Careers360 25th Jan, 2024

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

14 Views

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

Team Careers360 24th Jan, 2024

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

12 Views

Question : Who among the following is known as the 'Napoleon of India' ?

Option 1: Chandragupta

Option 2: Samudragupta

Option 3: Harshavardhana

Option 4: Ashoka

Team Careers360 13th Jan, 2024

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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