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Question : Comprehension:
In the following passage, some words have been deleted. Read the passage carefully and select the most appropriate option to fill in each blank.
It was a cool and windy day. Shiela, Zora, Lamba and I were (1)_______ our way to the Park to play on the slides. On our way (2)_______, Shiela (3)_______ something stuck to her shoe. "Must be a (4)_______ of chewing gum or something," she muttered as she (5)_______ down to remove the object. What she removed from her shoe was a dirty note of five hundred rupees!
Question:
Select the most appropriate option to fill in the blank 2.
Option 1: when
Option 2: their
Option 3: where
Option 4: there
Correct Answer: there
Solution : The correct choice is the fourth option.
Explanation:
In this context, the phrase "on our way" suggests movement or progression, and the subsequent word should align with this idea. There is a suitable choice, as it indicates a place or destination. The use of there
Question : What is the sum of the first 20 terms of the following series? $1 \times 2+2 \times 3+3 \times 4+4 \times 5+\ldots \ldots$
Option 1: 3160
Option 2: 2940
Option 3: 3240
Option 4: 3080
Correct Answer: 3080
Solution : Given: The series is $1 \times 2+2 \times 3+3 \times 4+4 \times 5+\ldots \ldots$. The sum of the first $n$ consecutive number = $\frac{n(n+1)}{2}$ The sum of the square of the first $n$ consecutive number = $\frac{n(n + 1) (2n + 1)}{6}$ The sum of
Question : Directions: Select the figure from the given options that can replace the question mark (?) in the following series.
Option 1:
Option 2:
Option 3:
Option 4:
Correct Answer:
Solution : According to the given figure – 1. The movement of geometrical shapes is as follows – Square – Top right→Top left→Top centre→Top right Triangle – Bottom left→Bottom centre→Bottom right→Bottom left Diamond – Centre of the box→Right centre→Left centre→Centre of the box 2. The triangle rotates by
Question : Select the most appropriate option to improve the underlined segment in the given sentence. If there is no need to improve it, select 'No improvement'.
I think she would be much more happier in her hometown.
Option 1: No improvement
Option 2: much happier
Option 3: most happiest
Option 4: more happier
Correct Answer: much happier
Solution : The correct choice is the second option.
The adjective happier is already a comparative form, so adding more before it is redundant and grammatically incorrect.
Therefore, the correct sentence is: I think she would be much happier in her hometown.
Question : Directions: In the given question, a sentence is given with a blank to be filled in with an appropriate word. Four alternatives are suggested for each question. Choose the correct alternative out of the four alternatives.
The plan is worth considering, think it ________carefully.
Option 1: of
Option 2: on
Option 3: off
Option 4: over
Correct Answer: over
The phrasal verb think over is commonly used to suggest careful consideration or reflection when deciding on a plan or idea and "over" is the appropriate choice which helps in conveying the intended meaning that the
Question : Some carpenters promised to complete the work in 20 days. When the work was started, 8 of them were absent and the remaining completed the work in 40 days. What was the original number of carpenters?
Option 1: 18
Option 2: 12
Option 3: 10
Option 4: 16
Correct Answer: 16
Solution : Number of days promised, $D_1$ = 20 days Number of days taken to complete the work, $D_2$ = 40 Let the number of carpenters($M_1$) be $x$ Absent carpenters = 8 Remaining carpenters($M_2$) = $(x-8)$ We know that, $M_1D_1= M_2D_2$ ⇒ $x\times20=(x-8)\times40$ ⇒ $20x=40x-320$ ⇒ $20x=320$
Question : Select the most appropriate option to fill in the blank. My friends, being incredibly nerdy linguists, ___________to make fun of the syntax.
Option 1: braided
Option 2: decided
Option 3: stalked
Option 4: traded
Correct Answer: decided
Solution : The correct option is the second option.
Decided means they made a choice or came to a conclusion. In this context, it implies that the nerdy linguists reached a decision or agreement about something related to making fun of the syntax, perhaps deciding on a
Question : Rani Karnaa Nayak, who was awarded the Padma Shri in 2014, was a _______ dancer.
Option 1: Odissi
Option 2: Mohiniyattam
Option 3: Kathak
Option 4: Kathakali
Correct Answer: Kathak
Solution : The correct answer is Kathak.
Rani Karnaa Nayak performed Kathak. In 1927, she was born in Hyderabad, Sindh. Pandit Sohanlal Nayak, her father, began her Kathak instruction when she was five years old. She then studied under other great Kathak dancers, including Shambhu Maharaj
Question : If 20% of (A + B) = 30% of (A − B), then what percentage of B is equal to A?
Option 1: 400%
Option 2: 300%
Option 3: 500%
Option 4: 100%
Correct Answer: 500%
Solution : 20% of (A + B) = 30% of (A − B) ⇒ 20% of A + 20% of B = 30% of A – 30% of B ⇒ 10% of A = 50% of B $\therefore$ A = 500% of B Hence, the correct answer
Question : If $x=\frac{4\sqrt{ab}}{\sqrt a+ \sqrt b}$, then what is the value of $\frac{x+2\sqrt{a}}{x-2\sqrt a}+\frac{x+2\sqrt{b}}{x-2\sqrt b}$(when $a\neq b$)?
Option 1: 0
Option 2: 2
Option 3: 4
Option 4: $\frac{(\sqrt a+\sqrt b)}{(\sqrt a - \sqrt b)}$
Correct Answer: 2
Solution : Given: $x=\frac{4\sqrt ab}{\sqrt a+\sqrt b}$ Equation $=\frac{x+2\sqrt a}{x-2\sqrt a}+\frac{x+2\sqrt b}{x-2\sqrt b}$ Put the value of $x$ in equation: $=\frac{\frac{4\sqrt{ab}}{\sqrt{a}+\sqrt{b}}+2\sqrt{a}}{\frac{4\sqrt{ab}}{\sqrt{a}+\sqrt{b}}-2\sqrt a}+\frac{\frac{4\sqrt{ab}}{\sqrt{a}+\sqrt{b}}+2\sqrt{b}}{\frac{4\sqrt{ab}}{\sqrt{a}+\sqrt{b}}-2\sqrt b}$ $=\frac{\frac{4\sqrt{ab}+2a+2\sqrt {ab}}{\sqrt{a}+\sqrt{b}}}{\frac{4\sqrt{ab}-2a-2\sqrt {ab}}{\sqrt{a}+\sqrt{b}}}+\frac{\frac{4\sqrt{ab}+2\sqrt {ab}+2b}{\sqrt{a}+\sqrt{b}}}{\frac{4\sqrt{ab}-2\sqrt {ab}-2b}{\sqrt{a}+\sqrt{b}}}$ $=\frac{\frac{4\sqrt{ab}+2a+2\sqrt {a}b}{\sqrt{a}+\sqrt{b}}}{\frac{4\sqrt{ab}-2a-2\sqrt {a}b}{\sqrt{a}+\sqrt{b}}}+\frac{\frac{4\sqrt{ab}+2\sqrt {ab}+2b}{\sqrt{a}+\sqrt{b}}}{\frac{4\sqrt{ab}-2\sqrt {a}b-2b}{\sqrt{a}+\sqrt{b}}}$ $=\frac{4\sqrt{ab}+2a+2\sqrt {a}b}{4\sqrt{ab}-2a-2\sqrt {ab}}+\frac{4\sqrt{ab}+2\sqrt {ab}+2b}{4\sqrt{ab}-2\sqrt {ab}-2b}$ $=\frac{2}{2}\left [\frac{2\sqrt{ab}+a+\sqrt {a}b}{2\sqrt{ab}-a-\sqrt {a}b} \right ]+\frac{2}{2}\left[\frac{2\sqrt{ab}+\sqrt {ab}+b}{2\sqrt{ab}-\sqrt {a}b-b}\right]$ $=\frac{3\sqrt{ab}+a}{\sqrt{ab}-a}+\frac{3\sqrt{ab}+b}{\sqrt{ab}-b}$
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