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Question : If the circumference of a circle is equal to the perimeter of a square, and the radius of the given circle is positive, then which of the following options is correct?
Option 1: Area of the circle > Area of the square
Option 2: Area of the circle $\geq$ Area of the square
Option 3: Area of the circle < Area of the square
Option 4: Area of the circle = Area of the square
Correct Answer: Area of the circle > Area of the square
Solution : Let the radius of the circle be '$r$' and side of the square be 'a' Since the perimeter of a square = circumference of a circle ⇒ 4a = 2$\pi r$ ⇒ a = $\frac{\pi r}{2}$ ⇒
Question : Parts of the given sentence have been given as options. One of them may contain an error. Select the part that contains the error from the given options. If you don’t find any error, mark ‘No error’ as your answer.
I have watched a lot of students excel in online courses, taking fully advantage of the convenience.
Option 1: excel in online courses, taking fully
Option 2: advantage of the convenience
Option 3: I have watched a lot of students
Option 4: No error
Correct Answer: excel in online courses, taking fully
Solution : The correct choice will be the first option.
The correct expression is taking full advantage instead of taking fully advantage.
Full advantage is the idiomatic and grammatically correct phrase that indicates making the most of a situation or opportunity.
Question : When, for the first time, did the Election Commission of India become a multi-member body?
Option 1: 1995
Option 2: 1985
Option 3: 1989
Option 4: 1994
Correct Answer: 1989
Solution : The correct option is 1989.
The Election Commission of India became a multi-member body for the first time on October 16, 1989. It had only one member before that date, but two more election commissioners were appointed, bringing the total number of members to
Question : Select the correct direct form of the given sentence. The teacher said to Rakesh that she was happy that he was getting good grades.
Option 1: The teacher said to Rakesh, "I was happy you were getting good grades."
Option 2: The teacher said to Rakesh, "I am happy you got good grades."
Option 3: . The teacher said to Rakesh, "I was happy you are getting good grades."
Option 4: The teacher said to Rakesh, "I am happy you are getting good grades."
Correct Answer: The teacher said to Rakesh, "I am happy you are getting good grades."
Solution : The correct choice is the first option.
The steps of conversion are as follows:
Question : If $\cos A + \cos B + \cos C = 3$, then what is the value of $\sin A + \sin B + \sin C$?
Option 1: $1$
Option 2: $2$
Option 3: $0$
Option 4: $-1$
Correct Answer: $0$
Solution : The equation $\cos A + \cos B + \cos C = 3$ holds when $A = B = C = 0°$ because the maximum value of $\cos \theta$ is $1$. Since $\sin 0° = 0$, the value of $\sin A + \sin B + \sin
Question : Directions: Six friends, Kushal, Keshav, Kishan, Kamal, Kanan, and Kishore, are of different heights. Keshav is taller than only three other friends. Kishore is taller than Kamal only. Kishan is shorter than Kushal only. Who is the third shortest among all the friends?
Option 1: Kushal
Option 2: Keshav
Option 3: Kishore
Option 4: Kanan
Correct Answer: Kanan
Solution : Given: (I) Keshav is taller than only three other friends. __ > __ > Keshav > __ > __ > __ (II) Kishore is taller than Kamal only. Kishan is shorter than Kushal only. Kushal > Kishan > Keshav > Kanan > Kishore > Kamal
Question : Directions: Select the Venn diagram that best illustrates the relationship between the following classes. Europe, United Kingdom, London
Option 1:
Option 2:
Option 3:
Option 4:
Correct Answer:
Solution : London is the capital of the United Kingdom and is a country in Northwestern Europe. Therefore, the circle of London lies inside the circle of the United Kingdom and the circle of the United Kingdom lies inside the circle of Europe. The Venn diagram is as
Question : Select the correct direct form of the given sentence. The boss told Satish that the matter would soon be resolved and asked him if he had anything more to say.
Option 1: The boss said to Satish, “The matter is going to be resolved. Do you have anything more to say?”
Option 2: The boss said to Satish, “The matter would soon resolve. Do you have anything more to say?”
Option 3: The boss said to Satish, “The matter will soon be resolved. Do you have anything more to say?”
Option 4: The boss said to Satish, “The matter will soon be resolved. Did he have anything more to say?”
Correct Answer: The boss said to Satish, “The matter will soon be resolved. Do you have anything more to say?”
Solution : The third option is the correct answer.
Direct speech is a form of speech or writing where the actual words spoken by a person are quoted within quotation
Question : Directions: Select the number from among the given options that can replace the question mark (?) in the following series. 121, 144, 169, ?, 225, 256
Option 1: 196
Option 2: 192
Option 3: 188
Option 4: 194
Correct Answer: 196
Solution : Given: 121, 144, 169, ?, 225, 256
The series consists of the squares of consecutive numbers starting from 11. (11)2 = 121; (12)2 = 144; (13)2 = 169; (14)2 = 196; (15)2 = 225; (16)2 = 256
So, the
Question : Study the following table and answer the question. Percentage of marks obtained by five students in different subjects.
What are the average marks in percentage obtained by Mohan?
Option 1: 70.6%
Option 2: 74.6%
Option 3: 73.2%
Option 4: 73.6%
Correct Answer: 73.6%
Solution : Mohan's marks in Chemistry = 300 × $\frac{70}{100}$ = 210 Mohan's marks in Mathematics = 300 × $\frac{75}{100}$ = 225 Mohan's marks in Physics = 150 × $\frac{80}{100}$ = 120 Mohan's marks in Hindi = 300 × $\frac{65}{100}$ = 195 Mohan's marks in English =
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