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Question : If $2=x+\frac{1}{1+\frac{1}{5+\frac{1}{2}}}$, then the value of $x$ is equal to:
Option 1: $\frac{14}{13}$
Option 2: 1
Option 3: $\frac{13}{15}$
Option 4: $\frac{15}{13}$
Correct Answer: $\frac{15}{13}$
Solution : Given: The expression is $2=x+\frac{1}{1+\frac{1}{5+\frac{1}{2}}}$. ⇒ $2=x+\frac{1}{1+\frac{1}{\frac{10+1}{2}}}$ ⇒ $2=x+\frac{1}{1+\frac{1}{\frac{11}{2}}}$ ⇒ $2=x+\frac{1}{1+\frac{2}{11}}$ ⇒ $2=x+\frac{1}{\frac{11+2}{11}}$ ⇒ $2=x+\frac{1}{\frac{13}{11}}$ ⇒ $2=x+\frac{11}{13}$ ⇒ $x=2–\frac{11}{13}$ ⇒ $x=\frac{26–11}{13}=\frac{15}{13}$ Hence, the correct answer is $\frac{15}{13}$.
Question : Directions: Select the figure from among the given options that can replace the question mark (?) in the following series.
Option 1:
Option 2:
Option 3:
Option 4:
Correct Answer:
Solution : In the given figure – 1. The arrow located in the top left corner is rotating in the anticlockwise direction. 2. In the middle of the box, prime numbers are written, starting from 2→2, 3, 5, 7 3. V located at the bottom left corner of
Question : What is the sum of all two-digit even numbers?
Option 1: 2430
Option 2: 2410
Option 3: 2470
Option 4: 2520
Correct Answer: 2430
Solution : The first 2 digit number is 10 and the last two-digit number is 98. Sum = $\frac{n}{2}(\text{first term + last term})$ Number of terms = $\frac{(98 - 10)}{2} + 1$ = 45 Now, we can find the sum: Sum = $\frac{45}{2}(10 + 98)$ ⇒ Sum
Question : In an election between 2 parties A and B, A gets 37% of total votes cast and thus lost by 338 votes. The total number of cast votes is (assume none of the votes was declared invalid):
Option 1: 1300
Option 2: 1500
Option 3: 1200
Option 4: 1800
Correct Answer: 1300
Solution : Let the total no. of votes cast be $x$ A gets 37% of the total votes then B gets = 100 – 37% = 63% votes Difference of votes of A and B = 63% – 37% = 26% According to the question, 26% of
Question : Somewhat before the time of the Mauryan empire, about ______________years ago, emperors in China began building the Great Wall.
Option 1: 1200
Option 2: 3500
Option 3: 2400
Option 4: 600
Correct Answer: 2400
Solution : The correct answer is 2400.
China's monarchs started constructing the Great Wall some 2400 years ago, before the Mauryan empire. Its purpose was to keep pastoral people away from the empire's northern frontier.
Question : Directions: In the following question, a series is given with one number missing. Choose the correct alternative from the ones given that will complete the series. 6, 12, 20, 30, 42, ?
Option 1: 53
Option 2: 52
Option 3: 56
Option 4: 50
Correct Answer: 56
Solution : Given: 6, 12, 20, 30, 42, ?
Add consecutive even numbers (starting from 6) to each term to get the next term. 6 + 6 = 12; 12 + 8 = 20; 20 + 10 = 30; 30 + 12 = 42; 42 + 14
Question : Select the correct direct form of the given sentence. The receptionist asked me if I wanted to meet the accountant.
Option 1: The receptionist said to me, "Did you want to meet the accountant?"
Option 2: The receptionist said to me, "Do I want to meet the accountant?"
Option 3: The receptionist said to me, "Have you met the accountant?"
Option 4: The receptionist said to me, "Do you want to meet the accountant?"
Correct Answer: The receptionist said to me, "Do you want to meet the accountant?"
Solution : The correct choice is the fourth option.
Narration Conversion:
Question : Direction: How many dots will be there on the face opposite to the face with 2 dots?
Option 1: 1
Option 2: 5
Option 3: 4
Option 4: 6
Correct Answer: 6
Solution : Taking dice positions 1 and 2 with five dots as the common face,
Moving clockwise from the common face with five dots,
Pair of opposite faces –
So, the opposite to the face containing two dots is the face containing six dots.
Hence,
Question : In 1785, who used the calibrated torsion balance to measure the force between electric charges?
Option 1: R. A. Millikan
Option 2: Hans Christian Oersted
Option 3: John Michell
Option 4: Charles-Augustin de Coulomb
Correct Answer: Charles-Augustin de Coulomb
Solution : The correct option is Charles Augustin de Coulomb.
In 1785, the French physicist Charles-Augustin de Coulomb used a calibrated torsion balance to experimentally investigate and measure the force between electric charges. Coulomb's work laid the foundation for understanding electrostatic forces and formulating
Question : Who had used the term "Ecology" the first time?
Option 1: Charles Darwin
Option 2: Robert Whittaker
Option 3: Ernst Haeckel
Option 4: Arthur Tansley
Correct Answer: Ernst Haeckel
Solution : The correct option is Ernst Haeckel.
Ernst Haeckel, a German scientist, established the term ecology in 1866. The term ecology comes from the Greek terms oikos, which means house or habitat, and logos, which means study or knowledge. Haeckel's notion established the contemporary
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