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Staff Selection Commission Combined Graduate Level Exam

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Question : If $\frac{1}{x+\frac{1}{y+\frac{2}{z+\frac{1}{4}}}}=\frac{29}{79}$, where x, y, and z are natural numbers, then the value of $(2 x+3 y-z)$ is:

Option 1: 0

Option 2: 4

Option 3: 1

Option 4: 2

Team Careers360 24th Jan, 2024

Correct Answer: 2


Solution : According to the question,
$\frac{1}{x+\frac{1}{y+\frac{2}{z+\frac{1}{4}}}}=\frac{29}{79}$
⇒ $x+\frac{1}{y+\frac{2}{z+\frac{1}{4}}} = \frac{79}{29}$
⇒ $x+\frac{1}{y+\frac{2}{z+\frac{1}{4}}} = 2+\frac{21}{29}$
Comparing both sides, we get $x=2$,
and $\frac{1}{y+\frac{2}{z+\frac{1}{4}}} =\frac{21}{29}$
⇒ $\frac{1}{y+\frac{2}{z+\frac{1}{4}}}={\frac{1}{1+\frac{8}{21}}}$
⇒ $\frac{1}{y+\frac{2}{z+\frac{1}{4}}}={\frac{1}{1+\frac{2}{5+\frac{1}{4}}}}$
Comparing both sides, we get,
$y= 1$ and $z= 5$
$\therefore$ $(2 x+3 y-z)= 2 × 2 + 3

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Question : The major constituent of air is

Option 1: Nitrogen

Option 2: Carbon dioxide

Option 3: Oxygen

Option 4: Hydrogen

Team Careers360 25th Jan, 2024

Correct Answer: Nitrogen


Solution : The correct option is Nitrogen.

Nitrogen is the most abundant element in the atmosphere (78%). This is inert, essential for life, a component of the nitrogen cycle, a diatomic gas that maintains atmospheric pressure and is employed in agriculture and industry.

7 Views

Question : In which of the following months did the Australian Open take place in 2022?

Option 1: February

Option 2: March

Option 3: January

Option 4: April

Team Careers360 25th Jan, 2024

Correct Answer: January


Solution : The correct option is January.

The Australian Open is a major tennis tournament held annually in Melbourne, Australia. In 2022, the tournament dates were from January 17 to January 30. The Australian Open is one of the four Grand Slam tournaments in tennis, along

15 Views

Question : Inert gases are

Option 1: miscible with water

Option 2: not stable

Option 3: chemically unreactive

Option 4: chemically very reactive

Team Careers360 24th Jan, 2024

Correct Answer: chemically unreactive


Solution : The correct option is chemically unreactive.

Inert gases, known as noble gases, exhibit chemical inertness due to their stable electron configurations. Their electron shells are filled, making it highly improbable for these gases to engage in chemical reactions with other elements.

22 Views

Question : Simple interest received by a person in 10 years on a principal of Rs. 9500 is 130% of the principal. What is the rate of interest (in percent) per annum?

Option 1: 12

Option 2: 13

Option 3: 15

Option 4: 19

Team Careers360 24th Jan, 2024

Correct Answer: 13


Solution : Given:
Principal = Rs. 9500
Time = 10 years
Formula Used:
SI=$\frac{\text{PRT}}{100}$
Calculation:
Let the rate of Interest be R.
SI = $\frac{9500 \times 10 \times R}{100}$
Now we know the interest received is 130% of 9500 = $\frac{130 \times 9500}{100}$
$\therefore \frac{9500 \times 10

51 Views

Question : In the given figure, ABCD is a square. EFGH is a square formed by joining mid-points of sides of ABCD. LMNO is a square formed by joining mid-points of sides of EFGH. A circle is inscribed inside LMNO. If the area of a circle is 38.5 cm2 then what is the area (in cm2) of square ABCD?

Option 1: 98

Option 2: 196

Option 3: 122.5

Option 4: 171.5

Team Careers360 24th Jan, 2024

Correct Answer: 196


Solution : The area of a circle,
$ \text{Area} = \pi r^2$ where $r$ is the radius of the circle.
Given that the area of the circle is 38.5 cm2.
$⇒ r = \sqrt{\frac{\text{Area}}{\pi}} = \sqrt{\frac{38.5}{\pi}} = 3.5$ cm
The side length of square LMNO

28 Views

Question : The amount (in Rs.) received at 10% per annum compound interest after 3 years is Rs. 1,19,790. What was the principal?

Option 1: 90,000

Option 2: 1,00,000

Option 3: 80,000

Option 4: 75,000

Team Careers360 25th Jan, 2024

Correct Answer: 90,000


Solution : We have,
A = Rs. 119790, r = 10%, and t = 3 years.
$A = P \left(1 + \frac{r}{100}\right)^{t}$
Substituting the given values into the formula, we get
$⇒119790 = P \left(1+\frac{10}{100}\right)^{1×3}$
$⇒119790 = P \left(1+0.1\right)^{3}$
$⇒119790 = P \left(1.1\right)^{3}$
$⇒P=\frac{119790}{1.331}=Rs. 90,000$
Hence, the

14 Views

Question : A bus travels 720 kilometres in 20 hours. Calculate its average speed in meters per second.

Option 1: 12 m/s

Option 2: 15 m/s

Option 3: 18 m/s

Option 4: 10 m/s

Team Careers360 24th Jan, 2024

Correct Answer: 10 m/s


Solution : Given: A bus travels 720 kilometres in 20 hours.
Applying the formula of $\text{Speed}=\frac{\text{Distance}}{\text{Time}}$, we get,
$\text{Speed}=\frac{720}{20}=36$ km/hr
Converting km/hr into m/s by multiplying it with $\frac{5}{18}$, we get,
$\text{Speed}=36\times\frac{5}{18}=10$ m/s
Hence, the correct answer is 10 m/s.

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