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Question : Directions: Two statements are given, followed by three conclusions numbered I, II, and III. Assuming the statements to be true, even if they seem to be at variance with commonly known facts, decide which of the conclusions logically follow(s) from the statements. Statements: Some carpenters are singers. All singers are doctors. Conclusions: I. No doctor is a carpenter. II. Some doctors are singers. III. Some carpenters are doctors.
Option 1: All of the conclusions follow
Option 2: Only conclusion II follows
Option 3: Only conclusion III follows
Option 4: Only conclusions II and III follow
Correct Answer: Only conclusions II and III follow
Solution : The possible Venn diagram according to the given statements is as follows –
Let's analyse the conclusions – Conclusion (I): No doctor is a carpenter – From the given Venn diagram, there is no negative relation between a doctor and
Question : Select the most appropriate indirect form of the given sentence. “Good gracious! It’s snowing!” he said.
Option 1: He remarked that it is snowing.
Option 2: He happily said that it is snowing.
Option 3: He said that good gracious it’s snowing.
Option 4: He exclaimed with astonishment that it was snowing.
Correct Answer: He exclaimed with astonishment that it was snowing.
Solution : The fourth option is the correct choice.
The given sentence is an exclamatory sentence that expresses wonder or astonishment. We need to follow some basic rules to convert such types of sentences into indirect forms.
Question : In West Bengal, Raniganj is associated with
Option 1: Coalfields
Option 2: Iron ore
Option 3: Manganese ore
Option 4: Copper
Correct Answer: Coalfields
Solution : The correct answer is Coalfields.
Raniganj, in West Bengal, is a famous coal mine in India. It is located in the Durgapur subdivision of Paschim Bardhaman district in West Bengal. It is the oldest coal mine in India and has been operational since 1774.
Question : A conical tent with a radius of 6 units and a height of 8 units is to be made with canvas. How much canvas is needed to make the tent? (Rounded off to two places of decimals)
Option 1: 188.57 units
Option 2: 155.87 units
Option 3: 166.57 units
Option 4: 177.55 units
Correct Answer: 188.57 units
Solution : Radius, $r$ = 6 units Height, $h$ = 8 units Let the slant height be $l$. So, $l^2= {r^2+h^2}= \sqrt{6^2+8^2}= \sqrt{100}= 10$ units Area of the canvas = Curved surface area of cone = $ \pi r l$ = $\frac{22}{7}×6×10$ = $188.57$ units Hence,
Question : The side of an equilateral triangle is $12 \text{ cm}$. What is the area (in $\text{cm}^2$, rounded off to 2 decimal places) of the triangle? (Given $\sqrt{3} = 1.732$)
Option 1: 68.07
Option 2: 63.89
Option 3: 62.35
Option 4: 65.23
Correct Answer: 62.35
Solution : Given: The side of an equilateral triangle is $12 \text{ cm}$. Area of the equilateral triangle: $=\frac{\sqrt{3}}{4} × (\text{side})^{2}$ $=\frac{\sqrt{3}}{4} × 12^{2}$ $=\frac{\sqrt{3}}{4} × 144$ $=\sqrt{3} × 36$ $= 1.732 × 36 $ $= 62.35 \text{ cm}^2$ Hence, the correct answer is 62.35.
Question : If $(2x-y)^{2}+(3y-2z)^{2}=0$, then the ratio $x:y:z$ is:
Option 1: $1 : 3 : 2$
Option 2: $1:2:3$
Option 3: $3:1:2$
Option 4: $3:2:1$
Correct Answer: $1:2:3$
Solution : Given: $(2x - y)^2 + (3y - 2z)^2 = 0$ If the sum of squares of two terms is equal to zero, then the individual terms will also be zero. Since, $(2x - y)^2 + (3y - 2z)^2 = 0$ $\therefore$ $2x - y =
Question : The following bar graph shows receipts and expenditure by a business firm over 5 years. Gain = Receipts – Expenditure. In which year did the company gain the minimum amount?
Option 1: 2016
Option 2: 2017
Option 3: 2019
Option 4: 2018
Correct Answer: 2019
Solution :
So,
Question : A's efficiency is twice that of B's. A can work only for 8 hours a day while B can work for 12 hours a day. If A can finish a task in 12 days, in how many days can B finish the same task?
Option 1: 8
Option 2: 10
Option 3: 16
Option 4: 12
Correct Answer: 16
Solution : The ratio of the rates of work of A : B = 2 : 1 Work = efficiency × time Let the time B takes be $x$ days A's work = 2 × 12 × 8 B's work = 1 × 12 × $x$ The
Question : Which of the following numbers is divisible by 44?
Option 1: 32802
Option 2: 54736
Option 3: 93472
Option 4: 27048
Correct Answer: 54736
Solution : For a number to be divisible by 44, it should be divisible by 4 and 11. Divisibility by 4: The last two digits of a given number should be divisible by 4. Divisibility by 11: The sum of the digits at an even place is
Question : Directions: A paper is folded and cut as shown below. How will it appear when unfolded?
Option 1:
Option 2:
Option 3:
Option 4:
Correct Answer:
Solution : When the given folded paper is unfolded, it will look like –
Hence, the first option is correct.
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