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Question : Select the most appropriate option to fill in the blank.
Yesterday, after a nice walk, we ______ to sit on the bench, watch the birds, and rest for a while.
Option 1: decided
Option 2: decide
Option 3: decides
Option 4: deciding
Correct Answer: decided
Solution : The correct choice is the first option.
Decide means to come to a resolution, and the past form decided is the correct choice, as the sentence is in the past tense.
Therefore, the complete sentence is: "Yesterday, after a nice walk, we decided to
Question : Directions: If A @ B means A is the son of B, and A $ B means A is the sister of B, then which of the following expressions means M is K's sister's son?
Option 1: M $ G @ K
Option 2: K @ G $ M
Option 3: G @ K $ M
Option 4: M @ G $ K
Correct Answer: M @ G $ K
Solution : Given: A @ B means A is the son of B. A $ B means A is the sister of B.
Let's check the options – First option: M $ G @ K According to the given information, the family tree
Question : The value of $0. \overline{57}-0.4 \overline{32}+0.3 \overline{5}$ is:
Option 1: $0.4 \overline{98}$
Option 2: $0.4 \overline{94}$
Option 3: $0. \overline{498}$
Option 4: $0. \overline{495}$
Correct Answer: $0.4 \overline{98}$
Solution : $0. \overline{57}-0.4 \overline{32}+0.3 \overline{5}$ can be written as $=\frac{57}{99} - \frac{428}{990} + \frac{32}{90}$ $=\frac{(570 - 428 + 352)}{990}$ $=\frac{494}{990}$ [Converting into expression: 4 will be added with unit digit as the denominator having '0' in it) Value of the given Expression = $0.4 \overline{98}$
Question : The compound interest on Rs. 12000 for 9 months at 20% per annum, interest being compounded quarterly is:
Option 1: Rs. 1,750
Option 2: Rs. 2,089.70
Option 3: Rs. 1,891.50
Option 4: Rs. 2,136.40
Correct Answer: Rs. 1,891.50
Solution : Given: The Principal amount is Rs. 12,000, the annual interest rate (in decimal form) is 20% per annum, the number of times interest is compounded per year is 4 and the time the money is invested for (in years) is 9 months, which is
Question : If $\left(x - \frac{1}{x}\right) = 2 \sqrt{2}$, what is the value of $\left(\mathrm{x}^6 + \frac{1}{\mathrm{x}^6}\right)$?
Option 1: 1030
Option 2: 960
Option 3: 1000
Option 4: 970
Correct Answer: 970
Solution : Given: $\left(x - \frac{1}{x}\right) = 2 \sqrt{2}$ We know, $(x - \frac{1}{x})^{3} = x^{3} - \frac{1}{x^3} - 3×x×\frac{1}{x}(x - \frac{1}{x})$ $⇒(x - \frac{1}{x})^{3} = x^{3} - \frac{1}{x^3} - 3 \times 2\sqrt{2}$ $⇒(2\sqrt{2})^{3} = x^{3} - \frac{1}{x^3} -6\sqrt{2}$ $⇒x^{3} - \frac{1}{x^3} = 22\sqrt{2}$ $⇒(x^{3} - \frac{1}{x^3})^{2}
Question : Sentences of a paragraph are given below in jumbled order. Arrange the sentences in the correct order to form a meaningful and coherent paragraph. A. Some of these attachments can be quite cumbersome to use. B. Appliances like food processors come with a load of attachments. C. But, finding the right blade and fixing it in the right slot can be quite a job. D. For each different vegetable, you need to fix a different blade.
Option 1: DCAB
Option 2: BADC
Option 3: BDAC
Option 4: DACB
Correct Answer: BADC
Solution : The second option is the correct answer.
The paragraph begins by introducing the topic of appliances like food processors having multiple attachments (B).
It then highlights the potential issue of some attachments being cumbersome to use (A).
Following this, the paragraph delves into the complexity
Question : Which fundamental right provided in the Indian Constitution prohibits traffic in human beings and forced labour?
Option 1: Right to freedom
Option 2: Right to constitutional remedies
Option 3: Right to equality
Option 4: Right against exploitation
Correct Answer: Right against exploitation
Solution : The correct option is the Right against exploitation
Article 23 of the Indian Constitution prohibits trafficking in human beings and forced labour. It ensures the right against exploitation, emphasising the abolition of all forms of exploitation and the imposition of human trafficking and
Question : Select the most appropriate option to substitute the underlined segment in the given sentence. If there is no need to substitute it, select ‘No substitution required'.
We made sure our new house were closer to a good primary school when moving home last summer.
Option 1: was close
Option 2: No substitution required
Option 3: were closed
Option 4: was closing
Correct Answer: was close
Explanation: Were should be replaced with was, as the subject (the house) is singular. This maintains the proper subject-verb agreement in the sentence.
Therefore, the correct sentence is: "We made sure our new house
Question : What should come in place of the question mark (?) for the following mathematical statement to be true? (9576 ÷ 21) × (462 ÷ 42) – 563 × 8 = (?)3
Option 1: 5
Option 2: 7
Option 3: 8
Option 4: 3
Correct Answer: 8
Solution : (9576 ÷ 21) × (462 ÷ 42) – 563 × 8 = (?)$^3$ ⇒ 456 × 11 – 4504 = ?3 ⇒ 5016 – 4504 = ?3 ⇒ 512 = ?3 ⇒ ? = 8 Hence, the correct answer is 8.
Question : Identify a marine alga that is used as food.
Option 1: Ulothrix
Option 2: Sargassum
Option 3: Spirogyra
Option 4: Volvox
Correct Answer: Sargassum
Solution : The correct option is Sargassum.
Sargassum is a type of marine alga that is sometimes used as food. It is a brown seaweed found in the Sargasso Sea and other parts of the world's oceans. While it is not as commonly consumed as other
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