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23 Views

Question : What is the measure of the central angle of the arc whose length is 11 cm and the radius of the circle is 14 cm?

Option 1: 45$^\circ$

Option 2: 60$^\circ$

Option 3: 75$^\circ$

Option 4: 90$^\circ$

Team Careers360 27th Jan, 2024

Correct Answer: 45$^\circ$


Solution : We have to find: the measure of the central angle of the arc whose length is 11 cm and the radius of the circle is 14 cm.
We know that,
Length of arc $= \frac{\theta}{360^\circ}\times 2\pi r$
$⇒11= \frac{\theta}{360^\circ}\times 2\times \frac {22}{7}\times 14$
$\therefore\theta =45^\circ$

18 Views

Question : Select the most appropriate ANTONYM of the given word.

Pacify

Option 1: Placate

Option 2: Assuage

Option 3: Aggravate

Option 4: Quell

Team Careers360 26th Jan, 2024

Correct Answer: Aggravate


Solution : The right option is the third option.

Pacify means to calm or soothe, while aggravate means to worsen or intensify a situation, making it the antonym in this context.

The meanings of other words are:

  • Placate: This means to make someone less angry or
21 Views

Question : The length, width, and height of a cuboidal box are 18 cm,12 cm, and 10 cm, respectively. What is the total surface area of the box?

Option 1: 1000 cm2

Option 2: 1048 cm2

Option 3: 1032 cm2

Option 4: 1120 cm2

Team Careers360 27th Jan, 2024

Correct Answer: 1032 cm2


Solution : Length = 18 cm
Width = 12 cm
Height = 10 cm
The formula for the total surface area of a cuboidal box is:
Total surface area = 2 × (Length × Width + Length × Height + Width × Height)
⇒ Total

40 Views

Question : Which of the following mosques/masjids was built during the reign of the Lodi dynasty of the Delhi Sultanate?

Option 1: Begumpuri mosque, Delhi

Option 2: Lal Masjid, Delhi

Option 3: Moth ki Masjid, Delhi

Option 4: Quwwat al-Islam, Delhi

Team Careers360 26th Jan, 2024

Correct Answer: Moth ki Masjid, Delhi


Solution : The correct option is Moth ki Masjid, Delhi.

Moth ki Masjid, also known as Moth Masjid, is associated with the Lodi dynasty. It was built during the reign of Wazir Miya Bhoiya, a minister in the court of Sikandar Lodi. It

15 Views

Question : The following sentence has been divided into parts. One of them may contain an error. Select the part that contains the error from the given options. If you don't find any errors, mark 'No error' as your answer.

The Andes mountains / lay between / Chile and Argentina.

Option 1: Chile and Argentina

Option 2: lay between

Option 3: No error

Option 4: The Andes mountains

Team Careers360 26th Jan, 2024

Correct Answer: lay between


Solution : The error lies in the second option.

Explanation:
In this sentence, the verb lay is used incorrectly. The correct verb to use in this context is lie.
Lie
 is an intransitive verb, which means to be situated or located. In contrast, lay is a

12 Views

Question : Who among the following has been appointed as the new Chairperson of the National Company Law Appellate Tribunal (NCLAT), for four years or until he attains the age of 70 years, whichever is the earliest in November 2021?

Option 1: Justice Vikram Nath

Option 2: Justice B.V. Nagarathna

Option 3: Justice Ashok Bhushan

Option 4: Justice Abhay Shreeniwas Oka

Team Careers360 27th Jan, 2024

Correct Answer: Justice Ashok Bhushan


Solution : The correct option is Justice Ashok Bhushan.

Justice Ashok Bhushan, a former Supreme Court judge, was appointed as the new Chairperson of the National Company Law Appellate Tribunal (NCLAT) on November 8, 2021. His tenure is set for four years or until

17 Views

Question : Select the option that expresses the given sentence in active voice.

His wife was killed by him.

Option 1: Him kills his wife.

Option 2: He has killed his wife.

Option 3: He killed his wife.

Option 4: He kills his wife.

Team Careers360 27th Jan, 2024

Correct Answer: He killed his wife.


Solution : The correct choice is the third option.

Active voice is the voice where the subject performs the action. When converting a sentence from the passive voice to the active voice, the subject performs the action rather than the action received by

118 Views

Question : Directions: In a certain code language, KITE is written as 9 and MAGIC is written as 11. How will FELICITATION be written in that language?

Option 1: 22

Option 2: 12

Option 3: 25

Option 4: 24

Team Careers360 27th Jan, 2024

Correct Answer: 25


Solution : Given:
KITE is written as 9 and MAGIC is written as 11.

Multiply the total number of letters in the given word KITE by 2 and add 1 to the resultant number to obtain the required code –
The total number of letters in KITE

17 Views

Question : Find the value of: $\sqrt{\frac{1 - \sin 3 \theta}{1 + \sin 3 \theta}}$

Option 1: $\sec 3 \theta - \tan 3 \theta$

Option 2: $(\sec 3 \theta - \tan 3 \theta)^3$

Option 3: $(\sec 3 \theta - \tan 3 \theta)^2$

Option 4: $\sec 3 \theta + \tan 3 \theta$

Team Careers360 27th Jan, 2024

Correct Answer: $\sec 3 \theta - \tan 3 \theta$


Solution : $\sqrt{\frac{1 – \sin 3 \theta}{1 + \sin 3 \theta}}$
= $\sqrt{\frac{(1 – \sin 3 \theta)(1 – \sin 3\theta)}{(1 + \sin 3\theta)(1 – \sin 3\theta)}}$
= $\sqrt{\frac{(1 – \sin 3\theta)^{2}}{1 – \sin^{2}3\theta}}$
= $\sqrt{\frac{(1 – \sin 3\theta)^{2}}{\cos^{2}3\theta}}$
= $\frac{1 -

11 Views

Question : Find the part of the given sentence that has an error in it. If there is no error, choose 'No Error'.

A key institution is the judiciary, especially the Supreme Court, with a widely remit and a wise legacy.

Option 1: especially the Supreme Court, with

Option 2: a widely remit and a wise legacy.

Option 3: A key institution is the judiciary,

Option 4: No Error

Team Careers360 27th Jan, 2024

Correct Answer: a widely remit and a wise legacy.


Solution : The correct choice is the second option.

The error lies in the use of "widely", which should be replaced with "wide". 

"Wide" functions as an adjective that helps modify the noun "remit", which means an area of responsibility

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