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Question : Simplify the expression $\frac{\sqrt{x}-\sqrt{y}}{\sqrt{x}+\sqrt{y}}$, where $x=2$ and $y=3$.
Option 1: $2\sqrt{6}-6$
Option 2: $\sqrt{6}-5$
Option 3: $5-2\sqrt{6}$
Option 4: $2\sqrt{6}-5$
Correct Answer: $2\sqrt{6}-5$
Solution : $\frac{\sqrt{x}-\sqrt{y}}{\sqrt{x}+\sqrt{y}}$ Rationalising the denominator, $=\frac{\sqrt{x}-\sqrt{y}}{\sqrt{x}+\sqrt{y}} \times \frac{\sqrt{x}-\sqrt{y}}{\sqrt{x}-\sqrt{y}}$ $=\frac{(\sqrt{x}-\sqrt{y})^2}{(\sqrt{x}+\sqrt{y})\times (\sqrt{x}-\sqrt{y})}$ $=\frac{(\sqrt{x}-\sqrt{y})^2}{x-y}$ Putting $x=2$ and $y=3$ in the equation. $=\frac{(\sqrt2 -\sqrt3)^2}{2-3}$ $=\frac{2+3-2\sqrt6}{-1}$ $=-5+2\sqrt6$ Hence, the correct answer is $2\sqrt6-5$.
Question : The Earliest Settlements of Aryan tribes were at
Option 1: Utter Pradesh
Option 2: Bengal
Option 3: Sapta Sindhu
Option 4: Delhi
Correct Answer: Sapta Sindhu
Solution : The correct option is Sapta Sindhu.
The Sapta Sindhu area, today known as the Punjab region in northern India, was the site of the first Aryan tribes settlements. The Sapta Sindhu area is called for the rivers that run through it: the Indus, Jhelum,
Question : Comprehension: In the following passage, some words have been deleted. Read the passage carefully and select the most appropriate option to fill in each blank.
To my utter (1)______the little dark boy was striding (2)______up and down the lawn while the white youngster walked (3)______. behind him. "Get me a banana!" The little boy ran (4)_______the house and (5)_______shortly.
Question: Select the most appropriate option to fill in the blank number 3.
Option 1: abjectly
Option 2: definitely
Option 3: obviously
Option 4: eventually
Correct Answer: abjectly
Solution : The first option is correct.
The adverb abjectly implies a lowly or dejected state, suggesting that the youngster is following behind with a demeanour of deep unhappiness. This choice of adverb conveys a specific emotional tone to the action, emphasising the nature of the youngster's
Question : Directions: In the following question, a sentence is given with a blank that is to be filled in with an appropriate word. Four alternatives are suggested; choose the correct alternative out of them as your answer. Simon teaches children ___ water colour painting.
Option 1: the art on
Option 2: the art in
Option 3: the art by
Option 4: the art of
Correct Answer: the art of
Solution : The correct choice is the fourth option.
Explanation: "The art of" is a commonly used phrase to describe teaching a specific skill or technique within an art form. In this context, it accurately conveys that Simon is teaching children the skill or technique
Question : Select the most appropriate synonym of the underlined word. He wore a bizarre outfit for the party.
Option 1: Normal
Option 2: Usual
Option 3: Weird
Option 4: Familiar
Correct Answer: Weird
Solution : The correct option is the third option.
The most appropriate synonym for bizarre in this context is weird. Bizarre refers to something very strange, unusual, or strikingly unconventional in appearance, style, or manner. Similarly, weird denotes something that is odd, unconventional, or markedly different from
Question : Which Indian music composer received his second Grammy award in 2022 for the album 'Divine Tides'?
Option 1: P. A. Deepak
Option 2: Ricky Kej
Option 3: Manoj George
Option 4: Tanvi Shah
Correct Answer: Ricky Kej
Solution : The correct answer is Ricky Kej.
In 2022, Ricky Kej achieved his second Grammy win at the 64th Annual Grammy Awards for the collaborative album "Divine Tides" with Rock & Roll legend Stewart Copeland. The recognition came in the Best New Age Album category.
Question : Which of the following fibers catches fire least?
Option 1: Nylon
Option 2: Cotton
Option 3: Rayon
Option 4: Terricot
Correct Answer: Cotton
Solution : The correct option is Cotton.
Cotton is the fiber among the options listed that catches fire least easily. Cotton is a natural fiber derived from the cotton plant, and it has a higher ignition temperature compared to synthetic fibers like rayon, nylon, or terricot. Cotton
Question : Dribbling is associated with ________ sport.
Option 1: basketball
Option 2: cricket
Option 3: badminton
Option 4: swimming
Correct Answer: basketball
Solution : The correct answer is basketball.
Dribbling is associated with the sport of basketball. In basketball, the bouncing of the ball on the floor continuously with one hand at a time is known as dribbling. In basketball, it is the only legal way that a player
Question : Directions: In a certain code language, GLAND is written as GQDOJ, and MEANS is written as VQDHP. How will CYSTS be written in that language?
Option 1: VWVCF
Option 2: FBVWV
Option 3: UVUAE
Option 4: VWVBF
Correct Answer: VWVBF
Solution : Given: GLAND is written as GQDOJ, and MEANS is written as VQDHP.
Add 3 to the place value of each letter of GLAND and MEANS and then, reverse the order of the letters to get the required codes. GLAND→G + 3 = J; L +
Question : Choose the word that means the same as the given word.
Calamity
Option 1: Embark
Option 2: Debauchery
Option 3: Debar
Option 4: Debacle
Correct Answer: Debacle
Calamity refers to a disastrous or catastrophic event that causes widespread damage, distress, or adversity. On the other hand, debacle relates to a sudden and significant failure or disaster. The similarities between "calamity" and "debacle" lie in
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