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Question : When camphor is heated, which of the following changes will take place?
Option 1: Solid to gas
Option 2: Solid to liquid to gas
Option 3: Liquid to gas
Option 4: Solid to liquid
Correct Answer: Solid to gas
Solution : The correct answer is Solid to gas.
When camphor is heated, it directly turns into a gas without passing through the liquid phase. This process of directly changing solids into gas is known as the sublimation process. The sublimation of camphor is an
Question : Directions: Select the set in which the numbers are related in the same way as the numbers of the following sets. (NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into their constituent digits. E.g. 13 – operations on 13 such as adding/subtracting/multiplying etc. to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed.) (5, 35, 7) (8, 32, 4)
Option 1: (11, 56, 5)
Option 2: (3, 27, 9)
Option 3: (4, 30, 7)
Option 4: (9, 38, 4)
Correct Answer: (3, 27, 9)
Solution : Given: (5, 35, 7); (8, 32, 4)
Here, (5, 35, 7)→5 × 7 = 35 (8, 32, 4)→8 × 4 = 32
Let's check each option – First option: (11, 56, 5)→11 × 5 = 55 ≠ 56 Second option: (3, 27, 9)→3
Question : If $(\frac{\sec \theta-1}{\sec \theta+1})^n=\operatorname{cosec} \theta-\cot \theta$, then $n=?$
Option 1: 1
Option 2: 0.5
Option 3: –1
Option 4: –0.5
Correct Answer: 0.5
Solution : Given expression, $(\frac{\sec \theta-1}{\sec \theta+1})^n=\operatorname{cosec} \theta-\cot \theta$ Considering L.H.S., We know, $\sec\theta=\frac{1}{\cos\theta}$ = $\left\{\frac{\frac{1}{\cos\theta}-1}{\frac{1}{\cos\theta}+1}\right\}^n$ = $\left\{\frac{1-\cos\theta}{1+\cos\theta}\right\}^n$ Multiplying and dividing by $1-\cos\theta$, we get, = $\left\{\frac{1-\cos\theta}{1+\cos\theta}\times\frac{1-\cos\theta}{1-\cos\theta}\right\}^n$ = $\left\{\frac{(1-\cos\theta)^2}{1-\cos^2\theta}\right\}^n$ = $\left\{\frac{(1-\cos\theta)^2}{\sin^2\theta}\right\}^n$ Now consider R.H.S, $\operatorname{cosec} \theta-\cot \theta$ We know, $\operatorname{cosec} \theta=\frac{1}{\sin\theta}$ and $\cot\theta=\frac{\cos\theta}{\sin\theta}$ = $\frac{1}{\sin\theta}-\frac{\cos\theta}{\sin\theta}$ = $\frac{1-\cos\theta}{\sin\theta}$
Question : Select the most appropriate option to fill in the blank. They probably subsisted on insects and other small _________ invertebrates and perhaps even on aquatic vertebrates.
Option 1: skittish
Option 2: recluse
Option 3: reverent
Option 4: terrestrial
Correct Answer: terrestrial
Solution : The fourth option is correct.
The sentence suggests that the creatures probably survived on insects and other small creatures, and it uses the word terrestrial to describe these creatures. Terrestrial refers to things related to or inhabiting the land, as opposed to aquatic or celestial
Question : The circumference of a circle is 132 cm. The area of the circle is: (Take $\pi=\frac{22}{7}$)
Option 1: 1380 cm2
Option 2: 1322 cm2
Option 3: 1086 cm2
Option 4: 1386 cm2
Correct Answer: 1386 cm2
Solution : Given: The circumference of a circle is 132 cm. Let the radius of the circle = $r$ cm We know, The circumference of a circle = $2\pi r$ Here, $2\pi r =132$ $⇒2×\frac{22}{7}×r=132$ $⇒r=132×\frac{1}{2}×\frac{7}{22}$ $⇒r=21$ cm Now, the area of the circle =
Question : Directions: In the following question, some parts of the sentence may have some errors. Find out which part of the sentence has an error and select the appropriate option. If the sentence is free from error, select "No error".
The author said during the press conference (1) / that there were (2) / two farther volumes to be published. (3) / No error (4)
Option 1: (1)
Option 2: (2)
Option 3: (3)
Option 4: (4)
Correct Answer: (3)
Solution : The error lies in the third part of the sentence.
The word farther means more distant in space or time and is not suitable in this context. The correct adjective to use is further, which means additional to what already exists.
Therefore, the correct sentence
Question : The product of the digits of a 2-digit number is 12. If we add 36 to the number, the new number obtained is a number formed by the interchange of the digits. What is the number?
Option 1: 62
Option 2: 34
Option 3: 26
Option 4: 43
Correct Answer: 26
Solution : Let the unit digit of the number be $y$ and the ten digit be $x$. Number $= 10x + y$ Product of digits $= x × y = 12$ ---(i) According to the question, $10x + y + 36=10y + x$ $9y – 9x =
Question : Who is called as 'Father of Modern Computer'?
Option 1: Alexander Fleming
Option 2: Bill Gates
Option 3: Michael Faraday
Option 4: Charles Babbage
Correct Answer: Charles Babbage
Solution : Correct answer is - Charles Babbage.
After creating and conceptualizing the Analytical Engine in 1837, Charles Babbage was hailed as the father of computing. The Arithmetic Logic Unit (ALU), elementary flow control, and integrated memory were all components of the Analytical Engine. Babbage wanted
Question : Which of the following gases shields the surface of the Earth from ultraviolet (UV) radiation from the Sun?
Option 1: Carbon monoxide
Option 2: Ozone
Option 3: Oxygen
Option 4: Carbon dioxide
Correct Answer: Ozone
Solution : The correct answer is Ozone.
The French physicists Charles Fabry and Henri Buisson discovered the ozone layer in 1913. 97 to 99 per cent of the medium-frequency UV radiation emitted by the sun is absorbed by the ozone layer.
Question : Directions: From the given answer figure, select the one in which the question figure is hidden/embedded.
Option 1:
Option 2:
Option 3:
Option 4:
Correct Answer:
Solution : As there is no restriction on the rotation of the figures, we will check all possible angles where all the question figures fit in the option figures. The question figures are embedded in the first option and are represented by different colours in the figure below.
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