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Question : The radii of two concentric circles are $68\;\mathrm{cm}$ and $22\;\mathrm{cm}$. The area of the closed figure bounded by the boundaries of the circles is ______.
Option 1: $4140\pi\;\operatorname{cm^2}$
Option 2: $4110\pi \;\operatorname{cm^2}$
Option 3: $4080\pi\;\operatorname{cm^2}$
Option 4: $4050\pi\;\operatorname{cm^2}$
Correct Answer: $4140\pi\;\operatorname{cm^2}$
Solution : The area of a circle with $r$ as the radius $=\pi r^2$ The area of the larger circle $=\pi (68)^2 = 4624\pi \operatorname{cm^2}$ The area of the smaller circle $=\pi (22)^2 = 484\pi \operatorname{cm^2}$ The area of the closed figure $=4624\pi - 484\pi = 4140\pi
Question : Which of the following strokes in swimming does not start with a dive into the pool from outside?
Option 1: Butterfly
Option 2: Backstroke
Option 3: Breaststroke
Option 4: Freestyle
Correct Answer: Backstroke
Solution : The correct option is Backstroke.
Backstroke is one of the four competitive swimming strokes, and it swims on the back. The swimmers in this move do not start with a dive from outside. Unlike other strokes, breathing is relatively easy in a backstroke since
Question : All doubts and disputes in connection with the election of president are inquired into and decided by ______.
Option 1: the election commission
Option 2: the Supreme Court
Option 3: the parliament
Option 4: the prime minister
Correct Answer: the Supreme Court
Solution : The correct answer is the Supreme Court.
Any queries or disputes about the Election Commission of India's presidential election process are looked into by the Supreme Court, which also renders a ruling. The verdict of the court is also definitive. Part XV
Question : "The Race of My Life: An Autobiography" is written by which famous athlete?
Option 1: Rajwinder Kaur
Option 2: Milkha Singh
Option 3: Nitendra Rawat
Option 4: P. V. Sindhu
Correct Answer: Milkha Singh
Solution : The correct option is Milkha Singh.
"The Race of My Life: An Autobiography" is written by Indian athlete Milkha Singh. The book provides insights into Milkha Singh's life, his experiences, and his journey in the world of athletics. The book, co-authored with his daughter
Question : pH scale ranges______________.
Option 1: 1 to 14
Option 2: 1 to 7
Option 3: 0 to 14
Option 4: 0 to 7
Correct Answer: 0 to 14
Solution : The correct option is 0 to 14.
The pH scale has a range of 0 to 14. It denotes quantitatively a solution's acidity or alkalinity (basicity), with 7 being neutral. The pH scale determines the acidity or alkalinity of a solution by measuring
Question : Select the meaningful and correctly spelt word from the given options to fill in the blank.
Whenever Susan received letters from the police, she _________ ignored them.
Option 1: intantienally
Option 2: intoningly
Option 3: indentionally
Option 4: intentionally
Correct Answer: intentionally
Solution : The correct choice is the fourth option.
The wrong spelling is, "intantienally".
The word "intentionally" means on purpose or with deliberate intent. This is the most appropriate word to use in this context because it suggests that Susan was aware of the letters from the
Question : Select the most appropriate one-word substitution for the given words.
A glass container in which fish can be kept
Option 1: Fishery
Option 2: Aquarium
Option 3: Aquatic
Option 4: Aqua
Correct Answer: Aquarium
Solution : The correct choice is the second option.
An aquarium is a specialised structure designed for the display and housing of aquatic life, providing a controlled environment for fish to thrive. Aquarium precisely captures the intended meaning, referring to a container designed for the exhibition
Question : If [n] denotes the greatest integer < n and (n) denotes the smallest integer > n, where n is any real number, then the value of $(1\frac{1}{5})×[1\frac{1}{5}]-(1\frac{1}{5})+[\frac{1}{5}]+(1.5)$ is:
Option 1: 1.5
Option 2: 2
Option 3: 2.5
Option 4: 3.5
Correct Answer: 2
Solution : $(1\frac{1}{5}) × [1\frac{1}{5}] – (1\frac{1}{5}) + [\frac{1}{5}] + (1.5)$ = ($\frac{6}{5}) × [\frac{6}{5}] – (\frac{6}{5}) + [\frac{1}{5}] + (1.5)$ = (1.2) × [1.2] – (1.2) + [0.2] +(1.5) Applying floor and ceiling functions = 2 × 1 – 2 + 0 + 2 = 2
Question : The value of $x$ in the following equation is: 0.3 + 0.6 + 0.7 + 0.8 = $x$
Option 1: $5.3$
Option 2: $2\frac{3}{10}$
Option 3: $2\frac{2}{5}$
Option 4: $2.35$
Correct Answer: $2\frac{2}{5}$
Solution : Given: $0.3 + 0.6 + 0.7 + 0.8 = x$ $⇒x = 2.4 = \frac{24}{10} = \frac{12}{5}= 2\frac{2}{5}$ Hence, the correct answer is $2\frac{2}{5}$.
Question : Directions: A cyclist travels towards the east for 2 km and then turns left to travel 1 km. From there, he turns left and travels another 800 meters to reach a tea junction. After a short break, he turns towards the south and travels for 500 meters. From there, he turns right and travels for 1.2 km. Finally, he turns right and travels for 1 km. In which direction is he from his starting position?
Option 1: West
Option 2: North
Option 3: South
Option 4: East
Correct Answer: North
Solution : Firstly, we will draw the diagram as per the given instructions –
Now, we have to find the direction of the cyclist from the starting position.
Therefore, the cyclist is in the north direction from the starting position. Hence, the second option is correct.
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