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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: $22: 21\sqrt{2}$
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
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
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.
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
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
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
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,
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
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
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$^{\circ}$
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 =
Question : Directions: A # B means A is the mother of B; A @ B means A is the sister of B; A & B means A is the father of B; A % B means A is the wife of B. If W # Q @ T & Y @ M % K, then how is K related to T?
Option 1: Wife’s brother
Option 2: Son
Option 3: Daughter’s husband
Option 4: Brother
Correct Answer: Daughter’s husband
Solution : Given: A # B ⇒ A is the mother of B A @ B ⇒ A is the sister of B A & B ⇒ A is the father of B A % B ⇒ A is the wife of B
As per the
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
Correct Answer: Friday
Solution : Code for months –
Code for days –
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
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
Question : Aditya sold Article X at a profit of 23% and Article Y at a loss of 13%. He earned a profit of INR 180 in the entire transaction. If article X costs INR 90 less than article Y, then what is the price of article Y (in INR)?
Option 1: 2,100
Option 2: 2,007
Option 3: 2,020
Option 4: 2,050
Correct Answer: 2,007
Solution : Let the cost price of Y be $x$. Cost price of X = $x-90$ Profit of X = 23% of $x-90 = 0.23x - 20.7$ Loss of Y = 13% of $x = 0.13x$ Net profit = $0.23x - 20.7 - 0.13x = 0.1x -
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