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Question : Find the area of an equilateral triangle whose sides are 16 cm.
Option 1: $60\sqrt{3}\mathrm{~cm}^2$
Option 2: $62\sqrt{3} \mathrm{~cm}^2$
Option 3: $64\sqrt{3} \mathrm{~cm}^2$
Option 4: $66\sqrt{3} \mathrm{~cm}^2$
Correct Answer: $64\sqrt{3} \mathrm{~cm}^2$
Solution : Length of a side of the given equilateral triangle $= 16$ cm. As the area of an equilateral triangle is $\frac{\sqrt{3}}4a^2$ where $a$ is one side. So, area $=\frac{\sqrt3}{4}\times 16^2 = 64\sqrt3$ cm2. Hence, the correct answer is $64\sqrt{3} \mathrm{~cm}^2$.
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".
What make people angry or tense is actually a mystery, which is difficult to explain.
(1) No Error
(2) What make people angry
(3) or tense is actually a mystery
(4) which is difficult to explain.
Option 1: (1)
Option 2: (2)
Option 3: (3)
Option 4: (4)
Correct Answer: (2)
Solution : The error lies in the second option of the question.
A singular verb should be used with a singular subject, and here, what is used in the singular sense. Thus, make before "people angry" should be replaced with makes.
The correct sentence is: "What
Question : If A is 6 times more than B, then B is what percentage less than A?
Option 1: 83.33%
Option 2: 28.56%
Option 3: 14.28%
Option 4: 85.71%
Correct Answer: 83.33%
Solution : If A is 6 times more than B, then B is $\frac{1}{6}$ or approximately 16.67% of A. $\therefore$ B is (100 – 16.67) = 83.33% less than A. Hence, the correct answer is 83.33%.
Question : Select the correct passive form of the given sentence. They will lay the foundation stone next week.
Option 1: The foundation stone will have been laid by them next week.
Option 2: The foundation stone is being laid by them next week.
Option 3: The foundation stone will be laying by next week.
Option 4: The foundation stone will be laid by them next week.
Correct Answer: The foundation stone will be laid by them next week.
Solution : The correct choice is the fourth option.
Passive voice is the voice in which the object experiences an action rather than the person who performs the action. Hence, the object in the active sentence becomes the
Question : Directions: Four groups of numbers have been given, out of which three are alike in some manner and one is different. Select the group that is different.
Option 1: 17 : 102 : 204
Option 2: 12 : 72 : 144
Option 3: 14 : 90 : 180
Option 4: 26 : 156 : 312
Correct Answer: 14 : 90 : 180
Solution : Let's check each option – First option: 17 : 102 : 204; 17 × 6 = 102 and 102 × 2 = 204 Second option: 12 : 72 : 144; 12 × 6 = 72 and 72 × 2 = 144
Question : First Hindu-American to enter in the US House of Representative as senator is :
Option 1: Sunita Williams
Option 2: Jyoti Sengupta
Option 3: Ami Bera
Option 4: Tulsi Gabbard
Correct Answer: Tulsi Gabbard
Solution : The Correct Answer is Tulsi Gabbard
Tulsi Gabbard, a veteran and four-term representative from Hawaii, has held office in the House of Representatives. Tulsi Gabbard was elected to the U.S. House of Representatives and is one of the first women to serve in combat.
Question : Directions: The diagram shows the age distribution of patients admitted to a hospital on a particular day. Study the diagram and answer the question. The total number of patients aged more than 55 years, who were admitted to the hospital is:
Option 1: 4
Option 2: 7
Option 3: 9
Option 4: 10
Correct Answer: 10
Solution : 4 patients are between the ages of 55 and 60. 3 patients are between the ages of 60 and 65. 2 patients are between the ages of 65 and 70. There is only 1 patient in the 70–75 year age range. $\therefore$ The total number
Question : Amjad Ali Khan is associated with which instrument?
Option 1: Veena
Option 2: Nadaswaram
Option 3: Sarangi
Option 4: Sarod
Correct Answer: Sarod
Solution : The correct answer is Sarod.
Ustad Amjad Ali Khan, a renowned sarod maestro, is sometimes known as the "Sarod Samrat". He is his family's sixth generation of Sarod players. His father, Haafiz Ali Khan, a court musician in Gwalior until the country's independence in
Question : Under which amendment act, article 51A (K) of the Indian Constitution was inserted in the constitution?
Option 1: Eighty-sixth Amendment Act
Option 2: Eighty-second Amendment Act
Option 3: Eighty-fourth Amendment Act
Option 4: Eighty-first Amendment Act
Correct Answer: Eighty-sixth Amendment Act
Solution : The correct option is the Eighty-sixth Amendment Act.
The Constitution inserted article 51A(k) of the Indian Constitution (Eighty-sixth Amendment) Act, 2002. This amendment came into effect on January 3, 2003. This Article of the Constitution deals with the fundamental duties of citizens,
Question : Directions: In the following question, two statements are given followed by two conclusions I and II. You have to consider the two statements to be true even if they seem to be at variance from commonly known facts. You have to decide which of the given conclusions, if any, follow from the given statements. Statements: I. Sohan is a good sportsman. II. Sportsmen are healthy. Conclusions: I. All healthy people are sportsmen. II. Sohan is healthy.
Option 1: Conclusion I follows
Option 2: Conclusion II follows
Option 3: Neither conclusion I nor conclusion II follows
Option 4: Both conclusion I and conclusion II follow
Correct Answer: Conclusion II follows
Solution : The possible Venn diagram according to the given statements is as follows –
Let's analyse the conclusions – Conclusion (I): All healthy people are sportsmen – From the Venn diagram, the circle of sportsmen is completely inside the circle of healthy. Therefore, some
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