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Question : In the given figure, $PQRS$ is a quadrilateral. If $QR = 18$ cm and $PS = 9$ cm, then, what is the area (in cm2) of quadrilateral $PQRS$?
Option 1: $\frac{(64\sqrt{3})}{3}$
Option 2: $\frac{(177\sqrt{3})}{2}$
Option 3: $\frac{(135\sqrt{3})}{2}$
Option 4: $\frac{(98\sqrt{3})}{3}$
Correct Answer: $\frac{(135\sqrt{3})}{2}$
Solution :
Given: $PQRS$ is a quadrilateral, $QR = 18$ cm and $PS = 9$ cm. Construction: Extend the lines $QP$ and $RS$ as they meet at $T$ and form $\triangle QRT$ an equilateral triangle. Take the angles as shown in the figure. The area of an
Question : If $m+\frac{1}{m-2}=4$, then find the value of $(m-2)^2+\frac{1}{(m-2)^2}$.
Option 1: – 2
Option 2: 4
Option 3: 0
Option 4: 2
Correct Answer: 2
Solution : Given, $m+\frac{1}{m-2}=4$ ⇒ $(m-2)+\frac{1}{m-2}=2$ Squaring both sides, we get: $(m-2)^2+\frac{1}{(m-2)^2}+2(m-2)(\frac{1}{m-2})=4$ ⇒ $(m-2)^2+\frac{1}{(m-2)^2}+2=4$ $\therefore(m-2)^2+\frac{1}{(m-2)^2}=2$ Hence, the correct answer is 2.
Question : Identify the segment in the sentence which contains a grammatical error. She has been working tirelessly since hours.
Option 1: since hours
Option 2: tirelessly
Option 3: She has
Option 4: been working
Correct Answer: since hours
Solution : The error lies in the first option.
The correct expression should be for hours instead of since hours. When talking about the duration of an action that started in the past and continues into the present, we use for, followed by a period of
Question : Comprehension: In the following passage, some words have been deleted. Fill in the blanks with the help of the alternatives given. Select the most appropriate option for each number.
There were other stories (1) _______ Krishna. How (2) _______ been born in a dungeon where his uncle Kamsa had imprisoned his parents with the intention of killing him at birth. How, in spite of the many prison guards, he had been miraculously spirited (3) ______ to safety in Gokul. How, in infancy, he killed a (4) _______ who tried to poison him with her breast milk. How he lifted up Mount Govardhan to shelter his people from a (5) _______ that would have drowned them.
Question: Select the most appropriate option to fill in the blank No. (5).
Option 1: snowfall
Option 2: earthquake
Option 3: drought
Option 4: deluge
Correct Answer: deluge
Solution : The correct choice is the fourth option.
"Deluge" is also a suitable choice. It conveys the idea of a large amount of water overwhelming a place.
Question : Study the given graph and answer the following question. Number of boys and girls students in each section. The number of boys in section B is approximately what percentage of the number of girls in section E?
Option 1: 25%
Option 2: 55%
Option 3: 45%
Option 4: 15%
Correct Answer: 55%
Solution : Number of Boys in section B = 30 Number of Girls in section E = 55 The number of boys in section B to the percentage of the number of girls in section E = $\frac{30}{55}\times 100$ $\approx$ 55% Hence, the correct answer is 55%
Question : Dhondo Keshav Karve was an eminent Indian who championed the cause of _____________.
Option 1: allowing child marriages
Option 2: prohibiting widow remarriages
Option 3: strengthening the caste norms
Option 4: spread of women education
Correct Answer: spread of women education
Solution : The correct option is the spread of women's education.
Dhondo Keshav Karve was an eminent Indian who championed the cause of women's education and social reform. He is best known for his efforts to promote women's rights and improve the status
Question : Find the part of the given sentence that has an error in it. If there is no error, choose 'No error'.
Peoples might confess just to get out of the interrogation room.
Option 1: No error
Option 2: peoples might confess
Option 3: just to get out of
Option 4: the interrogation room
Correct Answer: peoples might confess
Solution : The correct choice is the second option.
Explanation:
The word people is a collective noun that can be both singular and plural. When used in the plural sense, it does not take an "s" at the end. So, the correct phrase
Question : Select the most appropriate ANTONYM of the given word. Prudent
Option 1: Caution
Option 2: Unprudent
Option 3: Imprudent
Option 4: Intuition
Correct Answer: Imprudent
Solution : The correct choice is the third option.
Prudent means being careful and wise with thoughtful consideration of consequences, while its antonym imprudent indicates a lack of discretion and a tendency to make unwise decisions without careful consideration of outcomes.
The meanings of the other
Question : The ratio of the present age of the father to that of his son is 7 : 2. If after 10 years the ratio of their ages becomes 9 : 4, then the present age of the father is:
Option 1: 43 years
Option 2: 35 years
Option 3: 37 years
Option 4: 40 years
Correct Answer: 35 years
Solution : Let the present age of the father be $7x$ years, and the present age of the son be $2x$ years. After 10 years, the father's age will be $7x + 10$, and the son's age will be $2x + 10$. According to the question,
Question : A dealer sold an article at a loss of 2%. Had he sold it for INR 44 more, he would have gained 20%. Find the cost price of the article.
Option 1: INR 250
Option 2: INR 300
Option 3: INR 400
Option 4: INR 200
Correct Answer: INR 200
Solution : Given: A dealer sold an article at a loss of 2%. Had he sold it for INR 44 more, he would have gained 20%. Let the cost price of the article be 100%. The first percent = – 2% and the second percent =
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