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Question : Select the most appropriate option to fill in the blank.
She reduced the volume because the ______music was becoming too much for her.
Option 1: concede
Option 2: content
Option 3: constant
Option 4: competent
Correct Answer: constant
Solution : The correct choice is the third option.
The word constant in this context suggests that the music was unvarying, continuous, or persistent. It was likely playing at the same level or intensity without significant changes, making it overwhelming for the person.
Therefore, the complete sentence
Question : If the price is decreased by 25%, then by how much percentage of consumption should be increased, so that the expenditure remains the same?
Option 1: 20%
Option 2: 40%
Option 3: 37.5%
Option 4: 33.33%
Correct Answer: 33.33%
Solution : Let the price be INR 100. If the price decreases by 25%, then the decreased price = 75% of 100 = INR 75 Increase needed = 100 – 75 = 25 Required percentage = $\frac{25}{75}$ × 100 = 33.33% Hence, the correct answer is 33.33%.
Question : World No Tobacco Day is observed on:
Option 1: 31st May
Option 2: 21st May
Option 3: 1st May
Option 4: 5th June
Correct Answer: 31st May
Solution : The correct option is 31st May.
The world observes No Tobacco Day on May 31 every year. The annual observance educates the public about the risks of tobacco use, what the World Health Organisation (WHO) is doing to combat tobacco use, and what
Question : Directions: Pointing towards a girl, Shilpa said, “She is the daughter of my husband’s wife”. How is Shilpa’s son related to that girl?
Option 1: Son
Option 2: Paternal Uncle
Option 3: Brother
Option 4: Nephew
Correct Answer: Brother
Solution : As per the given information, the family tree will be as follows –
Here, the quadrilateral represents the male, and the circular figure represents the female in the figure.
So, Shilpa’s son is the brother of that girl. Hence, the third option is correct.
Question : If the highest common factor (HCF) of x and y is 15, then the HCF of 36x2 – 81y2 and 81x2 – 9y2 is divisible by ________.
Option 1: 135
Option 2: 120
Option 3: 180
Option 4: 90
Correct Answer: 135
Solution : The factor of 36x2 – 81y2 = 9 × (4x2 - 9y2) The factor of 81x2 – 9y2 = 9 × (9x2 - y2) So, the HCF of (36x2 – 81y2) and
Question : Directions: Select the option that is related to the third word in the same way as the second word is related to the first word. (The words must be considered meaningful English words and must not be related to each other based on the number of letters/number of consonants/vowels in the word) Phone : Talk :: Television : ?
Option 1: Remote
Option 2: View
Option 3: Read
Option 4: Channel
Correct Answer: View
Solution : Given: Phone : Talk :: Television : ?
A phone is a device by which we can talk. Similarly, television is a device by which we can view.
So, the analogy will be Television : View. Hence, the second option is correct.
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. I've ____ finished painting the house.
Option 1: about
Option 2: nearing
Option 3: towards
Option 4: almost
Correct Answer: almost
Solution : The fourth option is the correct answer: almost.
These words are prepositions or adverbs that indicate various aspects of direction, proximity, or relation in a sentence. "almost" means "nearly or close to but not quite." and this is the only option that
Question : If $x=(7+3 \sqrt{5})$, then find the value of $x^2+\frac{1}{x^2}$.
Option 1: $ \frac{580+315 \sqrt{5}}{8}$
Option 2: $\frac{799+328 \sqrt{5}}{8}$
Option 3: $\frac{799+315 \sqrt{5}}{12}$
Option 4: $\frac{799+315 \sqrt{5}}{8}$
Correct Answer: $\frac{799+315 \sqrt{5}}{8}$
Solution : Given, $x=(7+3 \sqrt{5})$ Squaring both sides, we get, $x^2=(7+3 \sqrt{5})^2$ ⇒ $x^2=49+9\times 5+2\times 7\times 3\sqrt5$ [As $(a+b)^2=a^2+b^2+2ab$] ⇒ $x^2=49+45+42\sqrt5$ ⇒ $x^2=94+42\sqrt5$ And, $\frac{1}{x^2}=\frac{1}{(7+3\sqrt5)^2}=\frac{1}{94+42\sqrt5}$ Rationalising the equation, ⇒ $\frac{1}{x^2}=\frac{1}{94+42\sqrt5}\times\frac{{94-42\sqrt5}}{{94-42\sqrt5}}$ ⇒ $\frac{1}{x^2}=\frac{{94-42\sqrt5}}{(94)^2-(42\sqrt5)^2}$ ⇒ $\frac{1}{x^2}=\frac{{94-42\sqrt5}}{8836-8820}$ ⇒ $\frac{1}{x^2}=\frac{{94-42\sqrt5}}{16}$ ⇒ $\frac{1}{x^2}=\frac{{47-21\sqrt5}}{8}$ Now, $x^2+\frac{1}{x^2}$ Putting the value of $x^2$ and
Question : Direction: Rajat moves from his office straight to the canteen at a distance of 12 metres. Then he turned left and walked for 2 metres. Then he turns left again and walks straight for 12 metres. How far is he from his office?
Option 1: 10 meters
Option 2: 12 meters
Option 3: 8 meters
Option 4: 2 meters
Correct Answer: 2 meters
Solution : As per the given information, movement of Rajat will look as follows -
According to the one of the properties of rectangle i.e. opposite sides are equal and parallel to each other, the distance between Rajat's office and the end point will be 2
Question : Directions: In the following question, some parts of the sentence have errors, and some are correct. Find out which part of the sentence has an error. The number of that part is the answer. If a sentence is error-free, your answer is "No Error".
By May next year I have been working in this college for twenty years.
(1) No Error
(2) By May next year
(3) I have been working in this college
(4) for twenty years.
Option 1: 1
Option 2: 2
Option 3: 3
Option 4: 4
Correct Answer: 4
Solution : The phrase "for twenty years" is in the present perfect tense, which is not suitable for expressing an action that will be completed in the future. To convey this idea correctly, you should use the future perfect tense. Also, for clarity, the phrase "by May
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