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Staff Selection Commission Combined Graduate Level Exam

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Question : According to Census 2001, the sex ratio is ___________ females per 1000 males.

Option 1: 943

Option 2: 923

Option 3: 933

Option 4: 913

Team Careers360 25th Jan, 2024

Correct Answer: 933


Solution : The correct answer is 933.

As of the 2001 Census of India, the sex ratio was reported to be 933 females per 1000 males. This figure indicates the number of females for every 1000 males in the population. The sex ratio is an important demographic

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Question : Which one of the following is not a property of electromagnetic waves?

Option 1: Electromagnetic waves do not show interference and diffraction.

Option 2: Osillating electric field and magnetic field are perpendicular to each other.

Option 3: Electromagnetic waves are transverse waves.

Option 4: Electromagnetic waves do not require a medium to propagate.

Team Careers360 25th Jan, 2024

Correct Answer: Electromagnetic waves do not show interference and diffraction.


Solution : The correct option is Electromegnetic waves do not show interference and diffraction.

Electromagnetic waves, like light, demonstrate both interference and diffraction. Interference arises from the interaction of two or more waves, leading to patterns of constructive and

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Question : The authorities of which country denied the permission to land the ship Komagata Maru, carrying Indians?

Option 1: New Zealand

Option 2: America

Option 3: Australia

Option 4: Canada

Team Careers360 25th Jan, 2024

Correct Answer: Canada


Solution : The correct option is Canada.

This incident refers to the year 1914. The passengers on the ship were mostly Sikh immigrants. Komagata Maru is a Japanese steamship. In this incident, people from British India tried to enter Canada, but they were prohibited, and they returned

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Question : Fermentation of milk to curd is due to :

Option 1: Mycobacterium

Option 2: Staphylococcus 

Option 3: Lactobacillus

Option 4: Yeasts

Team Careers360 25th Jan, 2024

Correct Answer: Lactobacillus


Solution : The correct option is - Lactobacillus

 

The fermentation of milk into curd is primarily due to the action of lactic acid bacteria. Specifically, the most common bacteria responsible for this process is Lactobacillus bulgaricus and Streptococcus thermophilus, although other lactic acid bacteria strains may also

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Question : In the given figure, if $\mathrm{PA}$ and $\mathrm{PB}$ are tangents to the circle with centre $\mathrm{O}$ such that $\angle \mathrm{APB}=54^{\circ}$, then $\angle \mathrm{OBA}=$________.

Option 1: 27°

Option 2: 40°

Option 3: 30°

Option 4: 35°

Team Careers360 25th Jan, 2024

Correct Answer: 27°


Solution : We have to find $\angle AOB$.
In quadrilateral APBO,
$\angle A = \angle B = 90°$
Now, $\angle P + \angle A + \angle B + \angle O = 360°$
⇒ $54° + 90° + 90° + \angle O = 360°$
⇒ $\angle O =

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Question : If $1 + \sin\theta = m\cos\theta$, then what is the value of $\sin\theta$?

Option 1: $\frac{2 m^2-1}{m^2+1}$

Option 2: $\frac{m^2-1}{m^2+1}$

Option 3: $\frac{m^2+1}{2m^2-1}$

Option 4: $\frac{m^2+1}{m^2-1}$

Team Careers360 25th Jan, 2024

Correct Answer: $\frac{m^2-1}{m^2+1}$


Solution : $1 + \sin\theta = m\cos\theta$
⇒ $m=\frac{1}{\cos\theta}+\frac{\sin\theta}{\cos\theta}$
⇒ $m=\sec\theta+\tan\theta$
Squaring both sides, we get,
⇒ $m^2 = \sec^2\theta + \tan^2\theta + 2\sec\theta\tan\theta$
We know, $\sec^2\theta = 1+\tan^2\theta$
⇒ $m^2 = 1+\tan^2\theta + \tan^2\theta + 2\frac{\sin\theta}{\cos^2\theta}$
⇒ $m^2 = 1+2\frac{\sin^2\theta}{\cos^2\theta} +2\frac{\sin\theta}{\cos^2\theta}$
⇒ $m^2 = \frac{\cos^2\theta +2\sin^2\theta

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Question : After the defeat at Plassey, Siraj-ud-Daula was assassinated and ____ was made the Nawab.

Option 1: Mir Jafar

Option 2: Mir Qasim

Option 3: Hyder Ali

Option 4: Tipu Sultan

Team Careers360 25th Jan, 2024

Correct Answer: Mir Jafar


Solution : The correct answer is Mir Jafar.

Siraj ud-Daula, the Nawab of Bengal, was defeated and killed in the Battle of Plassey by the British due to the betrayal of the commander of Siraj ud-Daulah’s army, Mir Jafar. Thus, after helping the British defeat Siraj

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Question : Directions: In the following question a series is given, with one term missing. Choose the correct alternative from the given ones that will complete the series.
100, 50, 52, 26, 28, ?, 16, 8

Option 1: 14

Option 2: 30

Option 3: 32

Option 4: 38

Team Careers360 25th Jan, 2024

Correct Answer: 14


Solution : Given:
100, 50, 52, 26, 28, ?, 16, 8 

Divide and add 2 alternately to each previous term to get the next term.

So, 14 is the missing number in the given series. Hence, the first option is correct.

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