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Question : Directions: Which of the following numbers will replace the question mark (?) in the given series?
18, 27, 31, 43, 44, 59, 57, ?

Option 1: 82

Option 2: 74

Option 3: 83

Option 4: 75

Team Careers360 11th Jan, 2024

Correct Answer: 75


Solution : Given:
18, 27, 31, 43, 44, 59, 57, ?

Follow the pattern to obtain the missing term –

So, 75 is the missing term in the given series. Hence, the fourth option is correct.

321 Views

Question : Directions: Manohar cycles X km towards the west and then turns right and cycles Y km to reach his office. Now, the shortest distance between the starting point and his office is 13 km. What can be the value of X and Y, respectively, (in km)?

Option 1: 12 and 5

Option 2: 8 and 5

Option 3: 11 and 6

Option 4: 6 and 7

Team Careers360 12th Jan, 2024

Correct Answer: 12 and 5


Solution : Firstly, we will draw the diagram as per the given instructions –


As we have the shortest distance provided in the question, so applying the Pythagoras theorem in the given options, we can find the values of X and Y.

Let's check the

9 Views

Question : Which TMC candidate won the Ballygunge (West Bengal) by-poll election in April 2022?

Option 1: Babul Supriyo

Option 2: Amit Shah

Option 3: Mamata Banerjee

Option 4: Derek O'Brien

Team Careers360 18th Jan, 2024

Correct Answer: Babul Supriyo


Solution : The correct answer is Babul Supriyo.

The Bharatiya Janata Party (BJP) turncoat Babul Supriyo defeated CPI(M) candidate Saira Shah Halim, his closest challenger, by a margin of 20,228 votes in the Ballygunge assembly by-poll in West Bengal on Saturday while running on a Trinamool

17 Views

Question : Who among the following was one of the discovers of Indus Valley Civilisation?

Option 1: Lord Woolley

Option 2: Daya Ram Sahni

Option 3: V. S. Agarwal

Option 4: A. L. Basham

Team Careers360 24th Jan, 2024

Correct Answer: Daya Ram Sahni


Solution : The correct answer is Daya Ram Sahni.

The discovery of Harappa by Daya Ram Sahni in 1921 and the excavations conducted under the supervision of Sir John Marshal and Colonel Meke led to the discovery of the Indus Valley Civilisation. Mohenjo-daro, Ropar, and

12 Views

Question : The fall of Bastille is associated with the

Option 1: Russian Revolution of November 1917

Option 2: French Revolution of 1789

Option 3: American War of Independence 1776

Option 4: Greek War of Independence

Team Careers360 20th Jan, 2024

Correct Answer: French Revolution of 1789


Solution : The correct answer is the French Revolution of 1789

The French Revolution is associated with the collapse of the Bastille. The storming of the Bastille on July 14, 1789, is regarded as the beginning of the French Revolution. A royal castle

33 Views

Question : Rajaraja I considered the most powerful Chola ruler, became king in ______________.

Option 1: 999

Option 2: 979

Option 3: 971

Option 4: 985

Team Careers360 14th Jan, 2024

Correct Answer: 985


Solution : The correct option is 985​​​​.

Rajaraja I, a significant Chola king, assumed the throne in the year 985 CE. His reign marked a pinnacle in Chola power, witnessing territorial expansion, economic prosperity and the construction of the famous Brihadeeswara Temple in Thanjavur, showcasing Chola

23 Views

Question : If $21 \tan \theta=20$, then $(1+\sin \theta+\cos \theta):(1-\sin \theta+\cos \theta)=$?

Option 1: 5 : 2

Option 2: 3 : 1

Option 3: 7 : 3

Option 4: 2 : 1

Team Careers360 18th Jan, 2024

Correct Answer: 7 : 3


Solution : Given: $21 \tan \theta=20$
⇒ $\tan \theta = \frac{20}{21}=\frac{\text{Perpendicular}}{\text{Base}}$
Let the perpendicular and the base be 20 units and 21 units respectively.
Use the formulas,
$\tan \theta=\frac{\text{Perpendicular}}{\text{Base}}$,
$\sin \theta=\frac{\text{Perpendicular}}{\text{Hypotenuse}}$,
$\cos \theta=\frac{\text{Base}}{\text{Hypotenuse}}$,
Pythagoras's theorem: $\text{Hypotenuse}^2=\text{Base}^2+\text{Perpendicular}^2$
⇒ $\text{Hypotenuse}^2={21}^2+{20}^2$
⇒ $\text{Hypotenuse}^2=441+400$
⇒ $\text{Hypotenuse}^2=841$
⇒ $\text{Hypotenuse}=\sqrt{841}$

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