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Question : Find the LCM of 15, 24, 35 and 54.

Option 1: 5670

Option 2: 7560

Option 3: 7650

Option 4: 6570

Team Careers360 10th Jan, 2024

Correct Answer: 7560


Solution : The LCM (Least Common Multiple) of 15, 24, 35, and 54 can be found using the prime factorization method. 
Prime factorization of 15 = $3^1 \times 5^1$
Prime factorization of 24 = $2^3 \times 3^1$
Prime factorization of 35 = $5^1 \times 7^1$
Prime factorization

26 Views

Question : The ratio of 45% of 80% of A to 30% of 40% of B is 15 : 4. If the average of A and B is 67.5, what is the value of A – B?

Option 1: 10

Option 2: 18

Option 3: 12

Option 4: 15

Team Careers360 12th Jan, 2024

Correct Answer: 15


Solution : The ratio of 45% of 80% of A to 30% of 40% of B is 15 : 4.
The average of A and B is 67.5.
According to the question,
$\frac{\frac{45}{100}\times\frac{80}{100}\times \text{A}}{\frac{30}{100}\times\frac{40}{100}\times \text{B}} = \frac{15}{4}$
⇒ $\frac{3\text{A}}{\text{B}} = \frac{15}{4}$
⇒ $\frac{\text{A}}{\text{B}} = \frac{5}{4}$
So, take

32 Views

Question : Identify the segment that contains a grammatical error.

He said that he had forgot to lock the door before leaving.

Option 1: to lock the door

Option 2: He said that

Option 3: he had forgot

Option 4: before leaving

Team Careers360 10th Jan, 2024

Correct Answer: he had forgot


Solution : The third option is correct.

  • The given sentence is grammatically incorrect.
  • Here, he had forgotten should be used instead of he had forgot.
  • We know that after had, we have to use the third form of the verb.
  • Here, the second form is
24 Views

Question : Directions: Study the following bar graph and answer the question.


The ratio of the average of the marks obtained in Biology for two terms to the average of the marks obtained in English and Mathematics for the first term only is:

Option 1: $43:92$

Option 2: $39:42$

Option 3: $29:34$

Option 4: $23:94$

Team Careers360 21st Jan, 2024

Correct Answer: $29:34$


Solution : As per the given graph:
The marks of students in Biology in 1st term = 90
The marks of students in Biology in 2nd term = 55
The average marks of students in Biology in both terms
= $\frac{\text{ 1st term marks + 2nd term

15 Views

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'.

I was taken with surprise (1) / when I saw (2) / the beautiful Taj Mahal. (3) / No Error (4)

Option 1: 1
 

Option 2: 2

Option 3: 3

 

Option 4: 4

Team Careers360 12th Jan, 2024

Correct Answer: 1
 


Solution : The error lies in the first part of the sentence as taken by surprise is the right idiomatic expression, which means something occurred unexpectedly and should be used in place of taken with surprise, which does not make any sense. Here it means that the

8 Views

Question : Directions: Select the correct mirror image of the given figure when the mirror is placed at MN as shown below.

Option 1:

Option 2:

Option 3:

Option 4:

Team Careers360 10th Jan, 2024

Correct Answer:


Solution : As per the mirror image properties, closer things appear close to the mirror in the reflection.
Here, according to the information provided, the mirror is placed on the right side of the figure (on line MN). So, the left side of the reflected image will appear

8 Views

Question : Which of the following is a correct expression?

Option 1: Depreciation = Net investment - Gross investment

Option 2: Gross investment = Net investment - Depreciation

Option 3: Net investment = Gross investment - Depreciation

Option 4: Net investment = Gross investment + Depreciation

Team Careers360 24th Jan, 2024

Correct Answer: Net investment = Gross investment - Depreciation


Solution : The correct option is Net investment = Gross investment - Depreciation.

Depreciation is subtracted from Gross investment to determine net investment. Depreciation is the term used to describe how capital assets lose value over time as a result

13 Views

Question : If $\tan \theta -\cot \theta =0$, find the value of $\sin \theta +\cos \theta$.

Option 1: $0$

Option 2: $1$

Option 3: $\sqrt{2}$

Option 4: $2$

Team Careers360 16th Jan, 2024

Correct Answer: $\sqrt{2}$


Solution : Given:
$\tan\theta -\cot\theta =0$
$⇒\tan\theta=\cot\theta$
$\therefore\theta = 45^{\circ}$
$\therefore \sin\theta +\cos\theta = \sin45^{\circ} + \cos45^{\circ}=\frac{1}{\sqrt{2}}+\frac{1}{\sqrt{2}}=\frac{2}{\sqrt2}=\sqrt2$
Hence, the correct answer is $\sqrt2$.

23 Views

Question : In a $\triangle ABC$, the median AD, BE, and CF meet at G, then which of the following is true?

Option 1: 4(AD + BE + CF) > 3(AB + BC + AC)

Option 2: 2(AD + BE + CF) > (AB + BC + AC)

Option 3: 3(AD + BE + CF) > 4(AB + BC + AC)

Option 4: AB + BC + AC > AD + BE + CF

Team Careers360 15th Jan, 2024

Correct Answer: AB + BC + AC > AD + BE + CF


Solution :
AB + AC > 2AD -------------(i)
AB + BC > 2BE -------------(ii)
AC + BC > 2CF -------------(iii)
Adding (i), (ii), and (iii)
⇒ 2(AB + BC + AC) > 2 (AD + BE +

14 Views

Question : Robert Morrison MacIver says "Kinship creates society and society at length creates"_____.

Option 1: nation

Option 2: city-state

Option 3: association

Option 4: state

Team Careers360 12th Jan, 2024

Correct Answer: state


Solution : The correct answer is state.

Robert Morrison MacIver was a sociologist, political scientist, and educator. He expressed belief in the compatibility of individualism and social organisation. MacIver says “Kinship creates society and society at length creates state”. MacIver, hinting at the link between kinship, social

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