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16 Views

Question : Improve the underlined part of the sentence. Choose 'No improvement' as an answer if the sentence is grammatically correct.

Even in time of natural disasters, the farmers had to pay their share of taxes.

Option 1: times of natural

Option 2: timer of natural

Option 3: times of naturally

Option 4: No improvement

Team Careers360 16th Jan, 2024

Correct Answer: times of natural


Solution : The underlined part can be improved by choosing the first option.

Explanation: The original phrase "Even in time of natural disasters" is grammatically correct but can be refined for better clarity. The suggested improvement, "Even in times of natural disasters" is a more

27 Views

Question : For a sample data, mean = 60 and median = 48. For this distribution, the mode is:

Option 1: 18

Option 2: 48

Option 3: 36

Option 4: 24

Team Careers360 17th Jan, 2024

Correct Answer: 24


Solution : Given: Mean = 60 Median = 48
We know, Mode = (3 Median – 2 Mean)
⇒ Mode = (3 × 48) – (2 × 60)
⇒ Mode = 144 – 120
$\therefore$ Mode = 24
Hence, the correct answer is 24.

20 Views

Question : Select the most appropriate option to fill in the blank.

Food was ___________; guides were not to be found, and the enemy dogged them all the way.

Option 1: Scarce

Option 2: crass

Option 3: chance

Option 4: farce

Team Careers360 17th Jan, 2024

Correct Answer: Scarce


Solution : The most appropriate option to fill in the blank is the first option.

Explanation: We have to look for an adjective that describes the availability of food in the context provided. The word scarce fits this requirement, as it means in short supply or

5 Views

Question : ABCD is a square inscribed in a circle of radius $r$. Then the total area (in square units) of the portions of the circle lying outside the square is:

Option 1: $\pi (r^{2}-4)$

Option 2: $2\pi (r ^{2}-1)$

Option 3: $\pi^{2} r(r-7)$

Option 4: $r^{2}(\pi -2)$

Team Careers360 17th Jan, 2024

Correct Answer: $r^{2}(\pi -2)$


Solution :

Let the radius of the circle be $r$ units.
Area of circle = $\pi r^2$
Diagonal of ABCD = BD = $2r$ units
Area of square = $\frac{1}{2}\times \text{(BD)}^2$
= $\frac{1}{2}\times 4r^2$
= $2r^2$
Required difference = Area of the circle – Area of

13 Views

Question : If $a^{3}+\frac{1}{a^{3}}=2$, then the value of $\frac{a^{2}+1}{a}$ is ($a$ is a positive number):

Option 1: 1

Option 2: 2

Option 3: 3

Option 4: 4

Team Careers360 24th Jan, 2024

Correct Answer: 2


Solution : Given: $a^{3}+\frac{1}{a^{3}}=2$
⇒ $a^{3}+\frac{1}{a^{3}}=2$
⇒ $a^{6}+1 =2a^3$
⇒ $a^{6}-2a^3+1=0$
⇒ $(a^3-1)^2=0$
$a = 1$, the above equation is satisfied.
Now putting $a = 1$, in the equation, we get
$\frac{a^{2}+1}{a} = \frac{1^{2}+1}{1} = 2$
Hence, the correct answer is 2.

108 Views

Question : Directions: Select the combination of letters that when sequentially placed in the blanks of the given series will make the series logically complete.
AEI_JL_QS_SS_ZXU

Option 1: BLSN

Option 2: SSUU

Option 3: SDMA

Option 4: ONSB

Team Careers360 25th Jan, 2024

Correct Answer: ONSB


Solution : Given:
AEI_JL_QS_SS_ZXU

To fill the series we have to divide the series – AEI_/ JL_Q / S_SS / _ZXU
Let's check each option –
First option: BLSN; AEIB / JLLQ / SSSS / NZXU (No pattern has been

9 Views

Question : Directions: In the following question a series is given, with one term missing. Choose the correct alternative from the given ones that will complete the series.
1, 2, 6, 24, 120, ?

Option 1: 360

Option 2: 720

Option 3: 600

Option 4: 640

Team Careers360 18th Jan, 2024

Correct Answer: 720


Solution : Given:
1, 2, 6, 24, 120, ?

Multiply the previous term of the series by consecutive natural numbers from 2 onwards.
1 × 2 = 2; 2 × 3 = 6; 6 × 4 = 24; 24 × 5 = 120; 120 × 6 =

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