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Staff Selection Commission Combined Graduate Level Exam

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Question : What is the fourth proportional to 7, 15, and 21?

Option 1: 29

Option 2: 30

Option 3: 48

Option 4: 45

Team Careers360 2nd Jan, 2024

Correct Answer: 45


Solution : The fourth of proportional of $a,b$ and $c=\frac{b×c}{a}$
So, the fourth proportional of 7, 15, and 21 = $\frac{15×21}{7}$ = 45
Hence, the correct answer is 45.

18 Views

Question : the phrase "equality before law" used in Article-14 of Indian constitution has been borrowed from

Option 1: U.S.A.

Option 2: Germany

Option 3: Britain

Option 4: Greece

Team Careers360 17th Jan, 2024

Correct Answer: Britain


Solution : The correct option is Britain

By using the phrase "equality before the law," Article 14 ensures that individuals will receive similar treatment.On Indian soil, there should be no discrimination based on a person's caste, religion, gender, or other characteristics.The idea of "equality before the law"

14 Views

Question : Isobars have ______.

Option 1: Same mass number but different atomic numbers

Option 2: Different mass numbers but same atomic numbers

Option 3: Same mass and atomic numbers

Option 4: Different mass and atomic numbers

Team Careers360 19th Jan, 2024

Correct Answer: Same mass number but different atomic numbers


Solution : The correct option is the same mass number but different atomic numbers

Isobars are atoms or ions with the same mass number but distinct atomic numbers. The total number of protons and neutrons in an atom's nucleus is its

23 Views

Question : Directions: Select the related letter cluster from the given alternatives.
EGI : BDF :: KMO : ?

Option 1: GIK

Option 2: MOQ

Option 3: HJL

Option 4: QSU

Team Careers360 10th Jan, 2024

Correct Answer: HJL


Solution : Given:
EGI : BDF :: KMO : ?

Subtract 3 from each letter of EGI to get the required code –
E – 3 = B; G – 3 = D; I – 3 = F
Thus, EGI is coded as BDF.
Similarly, follow the

23 Views

Question : If $\cos x+\sin x=\sqrt{2} \cos x$, what is the value of $(\cos x-\sin x)^2+(\cos x+\sin x)^2$?

Option 1: $2$

Option 2: $1$

Option 3: $0$

Option 4: $\frac{1}{\sqrt{2}}$

Team Careers360 20th Jan, 2024

Correct Answer: $2$


Solution : Given:
$\cos x+\sin x=\sqrt{2} \cos x$
To find,
$(\cos x-\sin x)^2+(\cos x+\sin x)^2$
$=\cos^2 x + \sin^2 x - 2\sin x \cos x + \cos^2 x + \sin^2 x + 2\sin x \cos x $
$=1 - 2 \sin x \cos x + 1 +

12 Views

Question : Directions: In the following question, a sentence is given with a blank that is to be filled in with an appropriate word. Four alternatives are suggested; choose the correct alternative out of them as your answer.

When the morning ___________ the murder was discovered.

Option 1: arrived

Option 2: came

Option 3: occurred

 

Option 4: happened

Team Careers360 25th Jan, 2024

Correct Answer: came


Solution : The correct answer is in option two.

The correct sentence is: "When the morning came, the murder was discovered."

This sentence is effective because it conveys the sense of suspense and dread. It also suggests that the murder was discovered too late to do

12 Views

Question : Directions: In the following question, out of the four alternatives, select the alternative that will improve the bracketed part of the sentence. In case no improvement is needed, select "No Improvement".

He likes to drive his car at the speed of eighty kilometres (each hour).

(1) every hour 

(2) an hour

(3) hourly

(4) No Improvement

Option 1: 1

Option 2: 2

Option 3: 3

Option 4: 4

Team Careers360 23rd Jan, 2024

Correct Answer: 2


Solution : The correct choice to improve the bracketed part of the sentence is the second option.

Explanation: This option is the correct improvement. It provides a clear and concise way to express the speed at which the person likes to drive. An hour is the appropriate

21 Views

Question : A car moving in the morning fog passes a man walking at 4 km/hr in the same direction. The man can see the car for 3 minutes and visibility is up to a distance of 130 m. The speed of the car is:

Option 1: $7\frac{3}{5}$ km/hr

Option 2: $6\frac{3}{5}$km/hr

Option 3: $7$ km/hr

Option 4: $5$ km/hr

Team Careers360 16th Jan, 2024

Correct Answer: $6\frac{3}{5}$km/hr


Solution : Speed of man = 4 km/hr
Let $x$ be the speed of the car.
As they are moving in the same direction, relative speed = $(x-4)$ km/hr
⇒ Distance, d = $\frac{130}{1000}$km = 0.13 km
⇒ Time, t = $\frac{3}{60}$hr = 0.05 hr
So, Speed

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