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Question : What is the ratio of inradius and circumradius of an equilateral triangle?
Option 1: 1 : 2
Option 2: 1 : 3
Option 3: 1 : 4
Option 4: 3 : 2
Correct Answer: 1 : 2
Solution : Let $a$ be the side of the equilateral triangle. Circumradius = $\frac{abc}{4 \times \text{Area of triangle}}$, where $a,b,c$ are sides In Case of equilateral triangle, abc = a3 and area of triangle = $\frac{\sqrt{3}a^{2}}{4}$ $\therefore$ Circumradius = $\frac{a^{3}}{4 \times \frac{\sqrt3a^{2}}{4}}=\frac{a}{\sqrt{3}}$ Inradius =
Question : Directions: The age of Dr. Pandey is four times the age of his son. After 10 years, the age of Dr. Pandey will be twice the age of his son. What is the present age of Dr. Pandey's son?
Option 1: 4 years
Option 2: 5 years
Option 3: 6 years
Option 4: 8 years
Correct Answer: 5 years
Solution : Let Dr. Pandey's present age be A, and Dr. Pandey's son's present age be B.
As per the given information, Dr. Pandey's age is four times the age of his son ⇒ A = 4 × B = 4B
After 10 years, Dr. Pandey's
Question : If the area of a square is 529 cm2, then what is the length of its diagonal?
Option 1: $23\mathrm{~cm}$
Option 2: $26 \sqrt{3} \mathrm{~cm}$
Option 3: $23 \sqrt{2 } \mathrm{~cm}$
Option 4: $46 \mathrm{~cm}$
Correct Answer: $23 \sqrt{2 } \mathrm{~cm}$
Solution : Let the side of the square be $a$. The area of a square = 529 cm2 ⇒ $a^2=529$ $\therefore a =23\ \text{cm}$ Diagonal of a square $= \sqrt2×\text{Side}=23\sqrt{2}\ \text{cm}$ Hence, the correct answer is $23\sqrt{2}\ \text{cm}$.
Question : Directions: If a mirror is placed on the line MN, then which of the answer figures is the right mirror image of the given figure?
Option 1:
Option 2:
Option 3:
Option 4:
Correct Answer:
Solution : As per the mirror image properties, closer things appear close to the mirror in the reflection. According to the information provided, if the mirror is placed on the right side of the figure (on line MN), the right of the reflected image will appear as the
Question : Which Indian player won the most medals at Commonwealth Games 2022?
Option 1: Pusarla Venkata Sindhu
Option 2: Amit Panghal
Option 3: Sharath Kamal
Option 4: Sathiyan Gnanasekaran
Correct Answer: Sharath Kamal
Solution : The correct option is Sharath Kamal.
At the 2022 Commonwealth Games, Sharath Kamal stood out as India's most successful athlete, clinching three gold medals in men's singles, men's doubles (with Sathiyan Gnanasekaran), and mixed doubles (with Manika Batra), along with a silver in men's
Question : Comprehension: Read the given passage and answer the questions that follow. My grandmother, like everybody’s grandmother, was an old woman. She had been old and wrinkled for the twenty years that I had known her. People said that she once had been young and pretty and had even had a husband, but that was hard to believe. My grandfather’s portrait hung above the mantelpiece in the drawing room. He wore a big turban and loose-fitting clothes. His long, white beard covered the best part of his chest, and he looked at least a hundred years old. He did not look the sort of person who would have a wife or children. He looked as if he could only have lots and lots of grandchildren. As my grandmother being young and pretty, the thought was almost revolting. She often told us of the games she used to play as a child. That seemed quite absurd and undignified on her part, and we treated it like the fables of the prophets she used to tell us. Question: Select the most appropriate ANTONYM of the given word. Revolting
Option 1: Attractive
Option 2: Unpleasant
Option 3: Rebel
Option 4: Peace
Correct Answer: Attractive
Solution : The first option is the correct choice.
The word revolting describes something that causes strong disgust or repulsion. On the other hand, attractive refers to something appealing or pleasing to the senses.
The meanings of the other options are as follows:
Question : Given below are four sentences in jumbled order. Pick the option that gives their correct order. A. Dr Prince became aware of a small figure standing in the aisle beside his seat. B. "Won't your mother be wondering where you are?" he asked her. C. He brought his eyes into focus and saw that it was a girl of seven or eight. D. She was staring at him steadily with large blue eyes.
Option 1: BDAC
Option 2: CDBA
Option 3: ACDB
Option 4: ABCD
Correct Answer: ACDB
Solution : The third option is the correct choice.
The logical flow of sentences is as follows:
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".
I always enjoy (1) / to read (2) / books. (3) / No Error (4)
Option 1: 1
Option 2: 2
Option 3: 3
Option 4: 4
Correct Answer: 2
Solution : The error lies in the second part of the sentence.
Explanation: The correct usage after "enjoy" is the gerund form of the verb, not the infinitive. In this case, "reading" is the gerund form that should be used.
Therefore, the correct sentence should be: "I
Question : Directions: Consider the given statements to be true, even if they seem to be at variance from commonly known facts. You have to decide which of the following conclusions or assumptions be drawn from the given statement. Statements: Nutritious food is delicious and good for health. Honey is nutritious. Conclusions: I. Honey is good for health. II. Delicious food is nutritious.
Option 1: Only conclusion I follows
Option 2: Only conclusion II follows
Option 3: Neither conclusion I nor II follows
Option 4: Both conclusion I and II follow
Correct Answer: Only conclusion I follows
Solution : Let's analyse the conclusions – Conclusion I: Honey is good for health. According to the statement, nutritious food is delicious and also good for health and honey is one of the nutritious food and also good for health. Therefore, this conclusion follows.
Question : Study the given pie chart and answer the question that follows. The pie chart shows the sale of different fruits in a shop in a day. If a total of 1200 kg of fruits were sold in a day, find the difference between sales of grapes and oranges (in kg).
Option 1: 60
Option 2: 55
Option 3: 65
Option 4: 45
Correct Answer: 60
Solution : Given: A total of 1200 kg of fruits were sold in a day. The difference between sales of grapes and oranges = $\frac{15–10}{100}\times 1200$ = $\frac{5}{100}\times 1200$ = $60$ Hence, the correct answer is 60.
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