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Question : A, B, and C started a business with an investment of INR 1,00,000, INR 1,40,000 and INR 2,00,000 respectively. After 3 months, C left the business. 7 months after C left the business, B also left the business. B and C took their investments with them. At the end of the year, C received his share of the profit as INR 1,155. What is the total share of profits of A and B?
Option 1: INR 6,150
Option 2: INR 5,005
Option 3: INR 4,995
Option 4: INR 5,555
Correct Answer: INR 5,005
Solution : Given:
The ratio is given as $A:B: C=6:7:3$. Let the profit of C be INR $x$. According to the question, $3x=1155$ ⇒ $x=$ INR 385 The total share of profits of
Question : Directions: Study the given pattern carefully and select the number that can replace the question mark (?) in it. (243, 162, 9); (108, 72, 6); (48, ?, 4) (NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into their constituent digits. E.g. 13 – Operations on 13 such as adding/subtracting/multiplying etc. to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed.)
Option 1: 12
Option 2: 21
Option 3: 32
Option 4: 23
Correct Answer: 32
Solution : Given: (243, 162, 9); (108, 72, 6); (48, ?, 4)
Like, (243, 162, 9)→√(243 – 162) = √(81) = 9 (108, 72, 6)→√(108 – 72) = √(36) = 6 Similarly, follow the same pattern for (48, ?, 4) – √(48 – (?)) = 4 ⇒
Question : Select the correct direct form of the given sentence.
Father asked her if there was anything else she wished for.
Option 1: Father said to her, "Is there anything else she had wished for?"
Option 2: Father said to her, "There was anything else you wished for?"
Option 3: Father said to her, "Is there anything else you wish for?"
Option 4: Father said to her, "Was there anything else she wished for?"
Correct Answer: Father said to her, "Is there anything else you wish for?"
Solution : The correct choice is the third option.
Narration Conversion:
Question : The Policy of ' Imperial preferences' adopted by Britain in its colonies in 1932 is also known as the
Option 1: Hong Kong Agreement
Option 2: London Agreement
Option 3: Ottawa Agreement
Option 4: Paris Agreement
Correct Answer: Ottawa Agreement
Solution : The correct option is Ottawa Agreement
Following the Ottawa Conference of 1932, the British Empire and the then-British Commonwealth (now referred to simply as the Commonwealth of Nations) both adopted the Imperial Preference system of mutual tariff reduction. The 12 bilateral trade agreements known
Question : The fourth proportional to 6, 8, and 12 is:
Option 1: 15
Option 2: 12
Option 3: 18
Option 4: 16
Correct Answer: 16
Solution : Let the fourth proportion to the three numbers 6, 8, and 12 be $x$. So, 6 : 8 :: 12 : $x$ $⇒\frac{6}{8}=\frac{12}{x}$ $⇒x = \frac{12\times 8}{6}$ $\therefore x=16$ Hence, the correct answer is 16.
Question : Directions: If + means −, − means ×, × means ÷, and ÷ means +, what will be the value of the following expression? 45 × 9 ÷ 12 – 5 + 3 = ?
Option 1: 34
Option 2: 27
Option 3: 36
Option 4: 62
Correct Answer: 62
Solution : Given: 45 × 9 ÷ 12 – 5 + 3 = ?
After interchanging the given mathematical signs, we get – ⇒ 45 ÷ 9 + 12 × 5 − 3 ⇒ 5 + 12 × 5 − 3 ⇒ 5 + 60 − 3
Question : A sentence has been given with a blank to be filled with an appropriate option. Choose the correct alternative.
The school was __________ than a mile from their home.
Option 1: most
Option 2: much
Option 3: more
Option 4: many
Correct Answer: more
Solution : The third option is correct.
Here, more is the correct choice. When making comparisons, we typically use "more" before an adjective or adverb to denote a higher degree or quantity. In this case, we are comparing the distance of the school to a mile.
Therefore,
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.
The quake also ___ mud-slides on the outskirts of the city.
Option 1: Tempered
Option 2: Tampered
Option 3: Erupted
Option 4: Triggered
Correct Answer: Triggered
Solution : The correct option is the fourth option "triggered".
"Triggered" in this context means that the earthquake made the mudslides happen on the city's edges, and it fits perfectly in the sentence.
The meanings of the other options are as follows:
Question : Select the most appropriate meaning of the given idiom.
Blow one's own trumpet
Option 1: Rely on oneself
Option 2: Criticise others
Option 3: Praise oneself
Option 4: Respect others
Correct Answer: Praise oneself
The idiom blow one's own trumpet means to praise oneself. This is because blowing a trumpet is a metaphor for self-promotion or boasting about one's accomplishments.
Question : The rate of simple interest for which INR 9,000 will amount to INR 10,200 in 4 years is:
Option 1: $4\frac{2}{3}\%$
Option 2: $7\frac{1}{3}\%$
Option 3: $5\frac{1}{2}\%$
Option 4: $3\frac{1}{3}\%$
Correct Answer: $3\frac{1}{3}\%$
Solution : Simple interest = 10,200 – 9,000 = 1,200 Simple Interest $=\frac{\text{Principal×Rate×Time}}{100}$ ⇒ $\text{Rate} = \frac{1200 \times 100}{4\times 9000}$ ⇒ $\text{Rate} = \frac{120}{4\times 9}$ ⇒ $\text{Rate} = \frac{10}{3}$ ⇒ $\text{Rate} = 3\frac{1}{3}\%$ Hence, the correct answer is $3\frac{1}{3}\%$.
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