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22 Views

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: $\frac{15}{13}$

Team Careers360 27th Jan, 2024

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 $\frac{15}{13}$.

12 Views

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:

Team Careers360 26th Jan, 2024

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

25 Views

Question : What is the sum of all two-digit even numbers?

Option 1: 2430

Option 2: 2410

Option 3: 2470

Option 4: 2520

Team Careers360 26th Jan, 2024

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

26 Views

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

Team Careers360 27th Jan, 2024

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

18 Views

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

Team Careers360 26th Jan, 2024

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.

12 Views

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

Team Careers360 26th Jan, 2024

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

9 Views

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

Team Careers360 26th Jan, 2024

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,

18 Views

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

Team Careers360 26th Jan, 2024

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

16 Views

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

Team Careers360 26th Jan, 2024

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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