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Staff Selection Commission Combined Higher Secondary Level Exam

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Question : Directions: If SUNDAY = 18, YEAR = 12, then THURSDAY = ? 

Option 1: 24

Option 2: 26

Option 3: 42

Option 4: 28

Team Careers360 25th Jan, 2024

Correct Answer: 24


Solution : Given:
SUNDAY = 18, YEAR = 12 then THURSDAY = ?

Multiply the number of letters of SUNDAY by three, to get the required code –
Number of letters in SUNDAY = 6, 6 × 3 = 18
Thus, SUNDAY is coded as 18.
And,

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Question : The angle of depression of a point situated at a distance of 70 m from the base of a tower is $60^{\circ}$. The height of the tower is:

Option 1: $35\sqrt{3}$ m

Option 2: $70{\sqrt3}$ m

Option 3: $\frac{70{\sqrt3}}{3}$ m

Option 4: $70$ m

Team Careers360 16th Jan, 2024

Correct Answer: $70{\sqrt3}$ m


Solution :
Length of the tower, $AB$ = $h$ m
$\angle DAC$ = $\angle ACB$ = $60^{\circ}$
$BC$ = 70 m
In $\triangle ABC$,
$\tan 60^{\circ}$ = $\frac{AB}{BC}$
$⇒\sqrt3=\frac{h}{70}$
$\therefore h=70\sqrt3$ m
Hence, the correct answer is $70\sqrt{3}$ m.

14 Views

Question : Production of alcohol from organic compound by microorganisms is known as:

Option 1: combustion

Option 2: fermentation

Option 3: anaerobic respiration

Option 4: aerobic respiration

Team Careers360 9th Jan, 2024

Correct Answer: fermentation


Solution : The correct option is - Fermentation

Fermentation is the term used to describe the process of dissolving complex molecules into simpler ones when an enzyme is present. Alcoholic fermentation is a sophisticated biochemical process in which yeasts transform carbohydrates into ethanol, carbon dioxide, and other

14 Views

Question : If $0^{\circ} < \theta < 90^{\circ}$ and $2 \sin^{2}\theta +3\cos\theta =3$, then the value of $\theta$ is:

Option 1: 30°

Option 2: 60°

Option 3: 45°

Option 4: 75°

Team Careers360 24th Jan, 2024

Correct Answer: 60°


Solution : We know that $\sin^2 \theta + \cos ^2 \theta = 1$
Using the value of $\sin^2 \theta$ in the equation, we get,
⇒ $2(1- \cos ^2 \theta)+3\cos\theta=3$
⇒ $2-2\cos ^2 \theta+3\cos\theta=3$
⇒ $2\cos ^2 \theta-3\cos\theta+1=0$
⇒ $2\cos ^2 \theta-2\cos\theta-\cos\theta+1=0$
⇒ $(2\cos\theta-1)(\cos\theta-1)=0$
⇒ $\cos\theta=\frac{1}{2}$ or $\cos\theta=1$

15 Views

Question : The Telephone was invented by :

Option 1: Guglielmo Giovanni Maria Marconi

Option 2: Alexander Graham Bell

Option 3: John Logie Baird

Option 4: Thomas Barrow

Team Careers360 8th Jan, 2024

Correct Answer: Alexander Graham Bell


Solution : The correct answer is Alexander Graham Bell.

Alexander Graham Bell was a famous engineer and scientist, and he is famously credited with the discovery of the first functional telephone. He was granted a patent for it, and he was able to make the

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Question : Improve the underlined part of the sentence. Choose ‘No improvement’ as an answer if the sentence is grammatically correct.
He always checks the weather in the morning before he leaves for working.

Option 1: leaves for work

Option 2: leave for work

Option 3: left for works

Option 4: No improvement

Team Careers360 9th Jan, 2024

Correct Answer: leaves for work


Solution : The correct answer is the first option.

The use of "leaves for work" is appropriate because the singular subject "he" agrees with the singular verb "leaves" following the subject-verb agreement rule.

Additionally, the phrase "for work" functions as a prepositional phrase, modifying the

46 Views

Question : $\mathrm{A}$ and $\mathrm{B}$ are running on a circular track of length $1400 \;\mathrm{m}$. The speed of $\mathrm{A}$ is $33\; \mathrm{m/s}$ and the speed of $\mathrm{B}$ is $47\; \mathrm{m/s}$. They start from the same point at the same time in the opposite direction. After how much time (in seconds ) will they meet for the second time?

Option 1: $33$

Option 2: $38$

Option 3: $35$

Option 4: $32$

Team Careers360 18th Jan, 2024

Correct Answer: $35$


Solution : The relative speed of A and B $=33\;\mathrm{m/s} + 47\;\mathrm{m/s} = 80\;\mathrm{m/s}$
The time they take to meet for the first time $=\frac{1400}{80} = 17.5\;\mathrm{s}$
Since they meet every time they cover the length of the track,
They will meet for the second time after

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