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Question : In triangle MNO, AB is parallel NO and MA = 2.5, AN = 7.5, MB = 2.2, find the value of BO.

Option 1: 6.6

Option 2: 8.2

Option 3: 5.4

Option 4: 4.8

Team Careers360 26th Jan, 2024

Correct Answer: 6.6


Solution :
Given:
In triangle MNO, AB is parallel NO and MA = 2.5, AN = 7.5, MB = 2.2
Here, triangles MNO and MAB are similar because angle M in triangle MNO is equal to angle M in triangle MAB.
So, $\frac{MA}{MN}=\frac{MB}{MO}$
⇒ $\frac{2.5}{2.5+7.5}=\frac{2.2}{MO}$
$\therefore MO=8.8$

11 Views

Question : Bombayala Devi is associated with which sport?

Option 1: Kabaddi

Option 2: Archery

Option 3: 400 metres race

Option 4: Shot put 

Team Careers360 27th Jan, 2024

Correct Answer: Archery


Solution : The correct answer is Archery.

Bombayla Devi Laishram is a female archer from India. She has been part of India's national recurve squad since 2007. She has been awarded with Padma Shri and Arjuna awards for her performance. She also won four gold, five silver

15 Views

Question : Which of the statements given below is correct?

I. Deforestation reduces the amount of CO2 in the air.
II. CO2 traps heat and does not allow it to escape into the air.

Option 1: Only I

Option 2: Neither I nor II

Option 3: Both I and II

Option 4: Only II

Team Careers360 26th Jan, 2024

Correct Answer: Only II


Solution : The correct solution is Only II.

Afforestation has the purpose of restoring an area that has been destroyed due to previous overuse of the land. It helps in the reduction of soil erosion. Carbon dioxide (CO2) traps heat and does not

37 Views

Question : Select the option that can be used as a one-word substitute for the given group of words.
A shortened version of a larger work

Option 1: Summary

Option 2: Precise

Option 3: Shorts

Option 4: Abridgement

Team Careers360 27th Jan, 2024

Correct Answer: Abridgement


Solution : The correct choice is the fourth option.

Abridgement is a term used to describe a version of a larger work that has been condensed. This involves shortening the original work by omitting details while still preserving the essential content and narrative.

The meanings of

23 Views

Question : The following sentence has been split into four segments. Identify the segment that contains a grammatical error.

The little boy / hurted himself / when he fell off / his bicycle.

Option 1: hurted himself

Option 2: his bicycle

Option 3: when he fell off

Option 4: The little boy

Team Careers360 26th Jan, 2024

Correct Answer: hurted himself


Solution : The correct choice is the first option.

Explanation: The correct past tense form of the verb "hurt" is "hurt". The past tense of "hurt" doesn't follow the regular pattern of adding "-ed" to the base form. Irregular verbs like "hurt" have

14 Views

Question : The sides of a triangle are in the ratio $\frac{1}{2}:\frac{1}{3}:\frac{1}{4}$ and its perimeter is 104 cm. The length of the longest side (in cm) is:

Option 1: 52

Option 2: 48

Option 3: 32

Option 4: 26

Team Careers360 27th Jan, 2024

Correct Answer: 48


Solution : Given: The ratio of the triangle's sides
$=\frac{1}{2} : \frac{1}{3} : \frac{1}{4}$.
$=\frac{1}{2} × 12 : \frac{1}{3} × 12 : \frac{1}{4} × 12$
$=6: 4: 3$
The perimeter of the triangle is $104$ cm.
$\therefore$ The longest length of the triangle = $\frac{104}{6+4+3}×6= 48$ cm

15 Views

Question : If $\sec \theta+\tan \theta=5, (\theta \neq 0)$, then $\sec \theta$ is equal to:

Option 1: $\left(5+\frac{1}{5}\right)$

Option 2: $\frac{1}{2}\left(3+\frac{1}{3}\right)$

Option 3: $\frac{1}{2}\left(5+\frac{1}{5}\right)$

Option 4: $\left(3+\frac{1}{3}\right)$

Team Careers360 26th Jan, 2024

Correct Answer: $\frac{1}{2}\left(5+\frac{1}{5}\right)$


Solution : Given: $\sec \theta+\tan \theta=5$ ..... equation1
$\sec^{2}\theta - \tan^{2}\theta =1$
⇒ $(\sec \theta+\tan \theta)(\sec \theta-\tan \theta)=1$
⇒ $\sec \theta-\tan \theta=\frac{1}{5}$......equation2
Adding equation1 and equation2
$2\sec\theta = 5 + \frac{1}{5}$
⇒ $\sec\theta=\frac{1}{2}\left(5+\frac{1}{5}\right)$
Hence, the correct answer is $\frac{1}{2}\left(5+\frac{1}{5}\right)$.

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