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Question : Select the most appropriate option to improve the underlined segment in the given sentence. If there is no need to improve it, select 'No improvement'.
Each one of them was wearing a face mask for protection.
Option 1: No improvement
Option 2: was wearing
Option 3: were worn
Option 4: have worn
Correct Answer: was wearing
Solution : The correct choice is the second option.
Explanation: The reason for this is that "each one" is singular, so the verb should also be singular, which is "was wearing." The original sentence incorrectly uses the plural verb "were," making it grammatically incorrect.
Therefore, the
Question : If 2A = 3B and 3B = 2C, then what is $A:B:C$?
Option 1: $3:2:3$
Option 2: $2:3:2$
Option 3: $1:3:1$
Option 4: $2:3:4$
Correct Answer: $3:2:3$
Solution : 2A = 3B and 3B = 2C ⇒ $ A= \frac{3B}{2}$ and $C = \frac{3B}{2}$ So, the required ratio is, $A:B:C = \frac{3B}{2} : B : \frac{3B}{2}$ ⇒ $A:B:C = 3:2:3$ Hence, the correct answer is $3:2:3$.
Question : Directions: After interchanging two signs and two numbers, the value of the given equation will be 6. 7 – 2 × 1 ÷ 3 + 5
Option 1: × and ÷,7 and 5
Option 2: × and ÷, 2 and 7
Option 3: + and –, 7 and 5
Option 4: × and –, 5 and 3
Correct Answer: × and ÷,7 and 5
Solution : Given: 7 – 2 × 1 ÷ 3 + 5 = 6
Replace the given symbols and numbers according to the options one by one with the original symbols and numbers in the given equation. First option: × and ÷, 7
Question : A portable personal computer small enough to fit on your lap is called a
Option 1: Notebook computer
Option 2: PDA
Option 3: Mainframe computer
Option 4: Workstation
Correct Answer: Notebook computer
Solution : The correct answer is a Notebook computer.
A portable personal computer that's compact enough to be placed on the lap is referred to as a laptop or notebook computer. These kinds of laptops are designed to be lightweight and small to be carried around.
Question : Find the part of the given sentence that has an error in it. If there is no error, choose 'No Error'. The 1918 influenza pandemic sweep the world within months.
Option 1: No Error
Option 2: world within months
Option 3: pandemic sweep the
Option 4: The 1918 influenza
Correct Answer: pandemic sweep the
Solution : The error lies in the third option.
Explanation: The error in the sentence is the verb tense. "Sweep" should be in the past tense to match the time frame of the sentence.
To maintain proper verb-tense agreement, swept (past tense of "sweep")
Question : Which of the following was the capital of the Hindu Shahi kingdom?
Option 1: Srinagar
Option 2: Lahore
Option 3: Waihind
Option 4: Multan
Correct Answer: Waihind
Solution : The correct answer is Waihind.
During the early Middle Ages in the Indian Subcontinent, the Hindu Shahi dynasty ruled Kabulistan, Gandhara, and western Punjab. The Hindu Shahi kingdom, which spanned from Punjab to Kabul, was located on India's border. Waihind served as its capital.
Question : If $a$ and $b$ are rationals and $a\sqrt{2}+b\sqrt{3}=\sqrt{98}+\sqrt{108}-\sqrt{48}-\sqrt{72}$ then, the values of $a$ and $b$ respectively, are:
Option 1: 1, 2
Option 2: 1, 3
Option 3: 2, 1
Option 4: 2, 3
Correct Answer: 1, 2
Solution : $a\sqrt{2}+b\sqrt{3} = \sqrt{98}+\sqrt{108}-\sqrt{48}-\sqrt{72}$ $=\sqrt{2\times49}+\sqrt{36\times3}-\sqrt{16\times3}-\sqrt{36\times2}$ $= 7\sqrt{2}+6\sqrt{3}-4\sqrt{3}-6\sqrt{2}$ ⇒ $a\sqrt{2}+b\sqrt{3} = \sqrt{2}+2\sqrt{3}$ ⇒ $a=1$ and $b=2$ Hence, the correct answer is 1, 2.
Question : Which of the following is the largest lake in India?
Option 1: Shivsagar Lake
Option 2: Indira Sagar lake
Option 3: Chilika Lake
Option 4: Vembanad Lake
Correct Answer: Vembanad Lake
Solution : The correct answer is Vembanad Lake.
Vembanad Lake is India's biggest lake. It has a surface area of 2033 square kilometres and is located in the state of Kerala. Vembanad Lake is a backwater lake, which means it is a shallow lake with a
Question : Five bells ring together at the intervals of 3, 5, 8, 9, and 10 seconds. All the bells ring simultaneously at the same time. They will again ring simultaneously after:
Option 1: 6 minutes
Option 2: 8 minutes
Option 3: 9 minutes
Option 4: 4 minutes
Correct Answer: 6 minutes
Solution : Five bells ring together at intervals of 3, 5, 8, 9, and 10 seconds Calculation: By taking the Least Common Multiple for 3, 5, 8, 9, and 10 seconds = 360 seconds = 6 minutes $\therefore$ All the bell rings together in 6 minutes.
Question : Two identical circles intersect so that their centres and the points at which they intersect form a square of side $2\;\mathrm{cm}$. What is the area (in$\;\mathrm{cm^2}$) of the portion common to the two circles?
Option 1: $2\pi -4$
Option 2: $4\pi -8$
Option 3: $3\pi -4$
Option 4: $\pi -2$
Correct Answer: $2\pi -4$
Solution : The length of each side of the formed square is $2\;\mathrm{cm}$. The length of the radii of the circles = $2\;\mathrm{cm}$ The area of square $=(2\;\mathrm{cm})^2 = 4\;\mathrm{cm^2}$ The area of each circle $=\pi \times 2^2 = 4\pi\;\mathrm{cm^2}$ The area of each sector of
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