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Staff Selection Commission Combined Graduate Level Exam

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Question : Simplify the following expression.
$(2 \times 7-5+9 \div 3) \div(4+2)^2 \times 2$

Option 1: $2$

Option 2: $\frac{3}{2}$

Option 3: $\frac{2}{3}$

Option 4: $1.5$

Team Careers360 9th Jan, 2024

Correct Answer: $\frac{2}{3}$


Solution : $(2 \times 7-5+9 \div 3) \div(4+2)^2 \times 2$
$=\frac{(2\times 7-5+\frac{9}{3})}{(6)^2} \times 2$
$=\frac{(14-5+3)}{36} \times 2$
$=\frac{12}{36} \times 2$
$=\frac{2}{3}$
Hence, the correct answer is $\frac{2}{3}$.

16 Views

Question : Select the option that expresses the given sentence in passive voice.

The Mesopotamians invented the decimal system.

Option 1: The decimal system was invented by the Mesopotamians.

Option 2: The decimal system is invented by the Mesopotamians.

Option 3: The decimal system is an invention of the Mesopotamians.

Option 4: The decimal system has been invented by the Mesopotamians.

Team Careers360 12th Jan, 2024

Correct Answer: The decimal system was invented by the Mesopotamians.


Solution : The correct choice is the first option.

Passive voice is the voice in which the object experiences an action rather than the person who performs the action. Hence, the object in the active sentence becomes the subject

21 Views

Question : Select the most appropriate ANTONYM of the given word.

Incoherent

Option 1: Gloomy

Option 2: Apparent

Option 3: Pensive

Option 4: Rational

Team Careers360 20th Jan, 2024

Correct Answer: Rational


Solution : The fourth option is the correct choice.

Incoherent describes something that lacks logical consistency, while rational denotes clarity and logical reasoning, making them antonyms in this context.

The meanings of the other options are as follows:

  • Gloomy means dark, dim, or pessimistic in outlook.
  • Apparent
21 Views

Question : If the diameter of a sphere is 7 cm, find the volume of the sphere. (use $\pi=\frac{22}{7}$) (Rounded up to two decimal places).

Option 1: $184 \ \text{cm}^3$

Option 2: $201.34\ \text{cm}^3$

Option 3: $128.87 \ \text{cm}^3$

Option 4: $179.67 \ \text{cm}^3$

Team Careers360 9th Jan, 2024

Correct Answer: $179.67 \ \text{cm}^3$


Solution : Given: The diameter of a sphere is 7 cm.
Volume of the sphere = $\frac{4}{3}\pi r^{3}$, where $r$ is the radius of the sphere.
Volume of the sphere $=\frac{4}{3}\pi (\frac{7}{2})^{3}=\frac{4}{3}×\frac{22}{7}×(\frac{7}{2})^{3} = 179.67 \ \text{cm}^3$
Hence, the correct answer is $179.67 \ \text{cm}^3$.

38 Views

Question : A and B can do a work together in 18 days. A is three times as efficient as B. In how many days can B alone complete the work?

Option 1: 60 days

Option 2: 72 days

Option 3: 54 days

Option 4: 64 days

Team Careers360 14th Jan, 2024

Correct Answer: 72 days


Solution : Given: A and B can do a work together in 18 days.
A is three times as efficient as B.
Total work = Time × Efficiency
Let the efficiencies of B and A are 1 and 3 respectively.
So, total work = 18 ×

50 Views

Question : Directions: Select the option that represents the letters that when placed from left to right in the following blanks, will complete the letter series.
_VJRWB_ _RWBVL_ _BV_ _W

Option 1: AVKRWMR

Option 2: AWKRXNR

Option 3: BVKRWMR

Option 4: BWKRWMR

Team Careers360 9th Jan, 2024

Correct Answer: BVKRWMR


Solution : Given:
_VJRWB_ _RWBVL_ _BV_ _W

To fill the series we have to divide the series – _VJRW / B_ _RW / BVL_ _ / BV_ _W

Let's check each option –
First option:
AVKRWMR; AVJRW / BVKRW / BVLRW /

10 Views

Question : The modulus of rigidity is the ratio of:

Option 1: longitudinal stress to longitudinal strain

Option 2: Volume stress to volume strain

Option 3: shearing stress to shearing strain 

Option 4: tensile stress to tensile strain

Team Careers360 8th Jan, 2024

Correct Answer: shearing stress to shearing strain 


Solution : The correct option is - shearing stress to shearing strain 

The modulus of rigidity, also known as the shear modulus or G, is a material property that describes its response to shear stress. It is defined as the ratio of the

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