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Staff Selection Commission Combined Graduate Level Exam

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Question : If $\sin ^2 \theta-3 \sin \theta+2=0$, then find the value of $\theta\left(0^{\circ} \leq \theta \leq 90^{\circ}\right)$.

Option 1: 45°

Option 2:

Option 3: 60°

Option 4: 90°

Team Careers360 5th Jan, 2024

Correct Answer: 90°


Solution : Given, $\sin ^2 \theta-3 \sin \theta+2=0$
⇒ $(\sin \theta - 1)(\sin \theta- 2)=0$
⇒ $\sin\theta=1$ or $\sin\theta=2$
Since $\left(0^{\circ} \leq \theta \leq 90^{\circ}\right)$,
⇒ $\sin \theta=1$
⇒ $\theta = 90^{\circ}$
Hence, the correct answer is $90^{\circ}$.

32 Views

Question : What kind of forces arise from transient dipoles in atoms that induce transient dipoles in nearby atoms, produce an attractive force and are significant only over short distances (~500 pm)?

Option 1: Dipole-dipole forces

Option 2: London dispersion forces

Option 3: Dipole-induced dipole forces

Option 4: Hydrogen bond

Team Careers360 7th Jan, 2024

Correct Answer: London dispersion forces


Solution : The correct option is London dispersion forces.

London dispersion forces result from temporary fluctuations in electron distribution around atoms, creating transient dipoles. The induced dipoles in neighbouring atoms lead to attractive forces, but these forces are significant only over short distances. They play

17 Views

Question : On which side did Japan fight in the First World War ?

Option 1: none, it wag neutral

Option 2: with Germany against United Kingdom 

Option 3: against Russia on its own

Option 4: with United Kingdom against Germany

Team Careers360 10th Jan, 2024

Correct Answer: with United Kingdom against Germany


Solution : The correct option is with United Kingdom against Germany.

During the First World War, Japan fought alongside the United Kingdom and other Allies against Germany. Their involvement in the conflict was primarily aimed at seizing areas in East Asia and the

40 Views

Question : If the areas of two similar triangles are in the ratio 196 : 625, what would be the ratio of the corresponding sides?

Option 1: 14 : 25

Option 2: 13 : 20

Option 3: 14 : 20

Option 4: 13 : 25

Team Careers360 19th Jan, 2024

Correct Answer: 14 : 25


Solution : Given: The areas of two similar triangles are in the ratio 196 : 625.
We know,
The ratio of the corresponding sides of the two similar triangles = The ratio of the square root of their area
So, the ratio of the corresponding

22 Views

Question : If the inner radius of a hemispherical bowl is 5 cm and its thickness is 0.25 cm, find the volume of the material required to make the bowl. (Use $\pi = \frac{22}{7}$)
(Rounded up to two decimal places).

Option 1: 34 cm3

Option 2: 44 cm3

Option 3: 45.34 cm3

Option 4: 41.28 cm3

Team Careers360 17th Jan, 2024

Correct Answer: 41.28 cm3


Solution : Volume of the hemispherical bowl = $\frac{2}{3} × \pi × (R^{3} - r^{3})$
Where, $r$ is the inner radius of the bowl = 5 cm
And, $R$ is the outer radius of the bowl = (5 + 0.25) = 5.25 cm
So, the

25 Views

Question : To open a door easily, the handle should be fixed

Option 1: near the hinges

Option 2: away from mid-point opposite to hinges

Option 3: in the middle

Option 4: none of the above

Team Careers360 16th Jan, 2024

Correct Answer: none of the above


Solution : The correct answer is none of the above. 

In physics, Torque is the amount of force which causes a body to rotate on its axis. It is calculated by multiplying the amount of force applied with the distance from the axis of

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Question : In which year did AEB de Chancourtois organise the elements by atomic weight by graphing the elements around a cylinder with a circumference of 16 units, corresponding to the weight of oxygen (O)?

Option 1: 1862

Option 2: 1860

Option 3: 1870

Option 4: 1868

Team Careers360 7th Jan, 2024

Correct Answer: 1862


Solution : The correct option is 1862.

A.E.B. de Chancourtois attempted to organise the elements by atomic weight using a cylindrical representation, and he called this arrangement the Telluric Helix. He proposed this system in 1862. In the Telluric Helix, elements were arranged around a cylinder

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Question : The following sentence has been split into four segments. Identify the segment that contains a grammatical error.
I fell / asleep while / I read / the book.

Option 1: the book

Option 2: I read

Option 3: asleep while

Option 4: I fell

Team Careers360 14th Jan, 2024

Correct Answer: I read


Solution : The correct answer is the third option.

While is used to indicate a simultaneous or continuous action, so in this context, the person fell asleep while reading the book.

Therefore, the correct sentence is: "I fell asleep while I was reading the book."

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