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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.
Question : Endosulfan spray on cashew crop resulted in the pollution to the tune of tragedy in?
Option 1: Kerala
Option 2: Andhra Pradesh
Option 3: Karnataka
Option 4: Tamil Nadu
Correct Answer: Kerala
Solution : The correct answer is Kerala.
The use of endosulfan to cashew crops caused a disastrous pollution catastrophe in the Indian state of Kerala. Endosulfan is an extremely hazardous insecticide that has been widely used in agriculture, especially cashew farming. The aerial spraying of endosulfan on
Question : The climate of India is described as which of the following types?
Option 1: Mediterranean
Option 2: Temperate
Option 3: Monsoon
Option 4: Polar
Correct Answer: Monsoon
Solution : The correct answer is Monsoon.
India's climate is generally known as monsoon-type. Since India is in a tropical zone, the monsoon winds are mostly responsible for bringing in the rain. India has a monsoon-type climate, meaning that the winds and fluctuating weather patterns affect
Question : Vermicomposting is done by:
Option 1: Fungus
Option 2: Bacteria
Option 3: Worms
Option 4: Animals
Correct Answer: Worms
Solution : The correct answer is Worms.
Vermicomposting is done by earthworms. It increases soil areability and fertility. It is the process in which earthworm feeds on the organic wastes and release a granular excreta which is a valuable source of humus. Through the movement of earthworms
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