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15 Views

Question : The perimeter of an equilateral triangle is equal to the circumference of a circle. The ratio of their areas is: ( Use $\pi =\frac{22}{7}$)

Option 1: $22 : 21\sqrt{3}$

Option 2: $21: 22\sqrt{3}$

Option 3: $21: 22\sqrt{2}$

Option 4: $22: 21\sqrt{2}$

Team Careers360 24th Jan, 2024

Correct Answer: $22 : 21\sqrt{3}$


Solution : Let the side of the equilateral triangle be $a$ unit.
Perimeter = $3a$ unit
Circumference of the circle = $2\pi r$
Given: Perimeter of triangle = circumference of the circle
So, $3a = 2\pi r$
⇒ $\frac{a}{r}=\frac{2 \pi}{3} =\frac{2\times22}{3 \times7}$
$\therefore \frac{a}{r}=\frac{44}{21}$
Area

17 Views

Question : If a car covers 75.5 km in 3.5 litres of petrol, how much distance (in km) will it cover in 28 litres of petrol?

Option 1: 603

Option 2: 602

Option 3: 604

Option 4: 600

Team Careers360 24th Jan, 2024

Correct Answer: 604


Solution : Here,
3.5 litres of petrol covers 75.5 km.
$\therefore$ 1litre of petrol covers = $\frac{75.5}{3.5}$ km
So, 28 litres of petrol = $\frac{75.5}{3.5} \times 28$ = 604
Hence, the correct answer is 604 km.

14 Views

Question : The seven years of war in the 18th century was fought between Britain and ________.

Option 1: Spain

Option 2: France

Option 3: Germany

Option 4: Portugal

Team Careers360 22nd Jan, 2024

Correct Answer: France


Solution : The correct answer is France.

The Seven Years' War, initiated in 1756, primarily centred around North American land disputes between France and Great Britain, particularly near Pittsburgh, Pennsylvania. This conflict, also known as the French and Indian War, expanded globally, involving Europe, Africa and

9 Views

Question : The Bureau of Indian Standard is a statutory body working under the aegis of which union ministry?

Option 1: Ministry of Commerce and Industry

Option 2: Ministry of Micro, Small, & Medium Enterprises

Option 3: Ministry of Corporate Affairs

Option 4: Ministry of Consumer Affairs, Food, and Public Distribution

Team Careers360 25th Jan, 2024

Correct Answer: Ministry of Consumer Affairs, Food, and Public Distribution


Solution : The correct option is the Ministry of Consumer Affairs, Food, and Public Distribution.

The Bureau of Indian Standards (BIS) is a statutory body in India and operates under the aegis of the Ministry of Consumer Affairs, Food,

13 Views

Question : Professor ______, who won the Nobel Prize in Chemistry in 2019, is the oldest Nobel laureate ever.

Option 1: Joachim Frank

Option 2: John Goodenough

Option 3: George Smith

Option 4: Gregory Winter

Team Careers360 24th Jan, 2024

Correct Answer: John Goodenough


Solution : The correct answer is John Goodenough.

John Goodenough won the Nobel Prize in Chemistry in 2019, and he was the oldest person to receive a Nobel Prize in the field of chemistry. He received the Nobel Prize at the age of 97 years. He

17 Views

Question :
In the figure, in $\triangle {PQR}, {PT} \perp {QR}$ at ${T}$ and ${PS}$ is the bisector of $\angle {QPR}$. If $\angle {PQR}=78^{\circ}$, and $\angle {TPS}=24^{\circ}$, then the measure of $\angle {PRQ}$ is:
 

Option 1: 42$^{\circ}$

Option 2: 39$^{\circ}$

Option 3: 30$^{\circ}$

Option 4: 40$^{\circ}$

Team Careers360 23rd Jan, 2024

Correct Answer: 30$^{\circ}$


Solution : In $\triangle$PQR, PT $ \perp$ QR at T and PS is the bisector of $\angle$QPR
$\angle$PQR = 78° and $\angle$TPS = 24° 
In $\triangle$PQT,
$\angle$QPT = 180$^\circ$ – $\angle$PQR – $\angle$PTQ = 180$^\circ$ – 78$^\circ$ – 90$^\circ$ = 12$^\circ$
$\angle$SPQ = $\angle$QPT + $\angle$TPS =

271 Views

Question : Directions: What was the day of the week on the 24th of August 1923?

Option 1: Monday

Option 2: Sunday

Option 3: Thursday

Option 4: Friday

Team Careers360 22nd Jan, 2024

Correct Answer: Friday


Solution :  Code for months –

Month Jan Feb March April May June July Aug Sep Oct Nov Dec
Code 0 3 3 6 1 4 6 2 5 0 3 5

Code for days –

Days Monday Tuesday Wednesday Thursday Friday Saturday Sunday
Code 1 2
17 Views

Question : Directions: In the following question, a sentence is given with a blank that is to be filled in with an appropriate word. Four alternatives are suggested; choose the correct alternative out of them as your answer.

You take a decision. The ball is in ________ now.

Option 1: your court

Option 2: your net

Option 3: your pocket

Option 4: your garden

Team Careers360 23rd Jan, 2024

Correct Answer: your court


Solution : The correct choice is the first option "your court".

"Your court" is the correct choice to fill the blank with, as it helps in making the correct idiom, "the ball is in your court," which fits perfectly in the sentence. It implies that the

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