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Staff Selection Commission Combined Graduate Level Exam

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Question : Directions: Select the option figure in which the given figure is embedded. (Rotation is NOT allowed)

Option 1:

Option 2:

Option 3:

Option 4:

Team Careers360 14th Jan, 2024

Correct Answer:


Solution : Since the rotation of the figure is not allowed, we will check where the question figure can exactly fit itself in the given option figures.

From the above, it is clear that the given question figure is embedded in the second option figure. Hence, the second

26 Views

Question : A spherical ball of lead, 3 cm in diameter, is melted and recast into three spherical balls. The diameters of two of these balls are $\frac{3}{2}$ cm and 2 cm, respectively. Find the diameter of the third ball.

Option 1: 2.1 cm

Option 2: 3.3 cm

Option 3: 3 cm

Option 4: 2.5 cm

Team Careers360 25th Jan, 2024

Correct Answer: 2.5 cm


Solution : Given:
A spherical ball of lead, 3 cm in diameter, is melted and recast into three spherical balls.
Radius = $\frac{3}{2}$ cm
So, the volume of the sphere = $\frac{4}{3}\pi r^3=\frac{4}{3}\pi (\frac{3}{2})^3$ cm3
The diameters of two of the new balls are $\frac{3}{2}$

143 Views

Question : A mixture of acid and water contains 20% acid. When 10 litres of water is added to the mixture, then the percentage of acid becomes 15%. What is the original quantity of the mixture?

Option 1: 30 litres

Option 2: 25 litres

Option 3: 40 litres

Option 4: 35 litres

Team Careers360 15th Jan, 2024

Correct Answer: 30 litres


Solution : Given: A mixture of acid and water contains 20% acid.
The mixture's ratio = $\frac{(\text{20% acid})}{(\text{80% water})}$ = $\frac{20}{80}$ = 1 : 4.
Let there be $x$ litres of acid in the mixture. Additionally, $4x$ litres of water should be added to the mixture.

23 Views

Question : Directions: In the following question, some parts of the sentence have errors, and some are correct. Find out which part of the sentence has an error. The number of that part is the answer. If a sentence is error-free, your answer is "No Error".

He flowed into a rage (1)/ at the very (2)/ sight of that man. (3)/ No Error (4)

Option 1: 1

Option 2: 2

Option 3: 3

Option 4: 4

Team Careers360 22nd Jan, 2024

Correct Answer: 1


Solution : The first option is the correct answer.

"To fly into a rage" means to suddenly become very angry or lose one's temper explosively or uncontrollably. It describes a rapid and intense escalation of anger or fury. In the third part of the sentence, "flowed" must

18 Views

Question : If $\sin 23^{\circ}=\frac{a}{b}$, the value of $\sec 23^{\circ}-\sin 67^{\circ}$ is:

Option 1: $\frac{a^2}{\sqrt{b^2-a^2}}$

Option 2: $\frac{b^2-a^2}{a b}$

Option 3: $\frac{a^2}{b\sqrt{b^2+a^2}}$

Option 4: $\frac{a^2}{b \sqrt{b^2-a^2}}$

Team Careers360 17th Jan, 2024

Correct Answer: $\frac{a^2}{b \sqrt{b^2-a^2}}$


Solution :
Given: $\sin 23^{\circ}=\frac{a}{b}$
To find: $\sec 23^{\circ}-\sin 67^{\circ}$
By using the figure in the form of a perpendicular, base, and hypotenuse.
$\sin 23^{\circ}=\frac{p}{h} =\frac{a}{b}$
So, base$=\sqrt{b^2-a^2}$
$\sec 23^{\circ} =\frac{b}{\sqrt{b^2-a^2}}$
$\sin 67^{\circ}=\frac{\sqrt{b^2-a^2}}{b}$
Putting the values, we get:
$\sec 23^{\circ}-\sin 67^{\circ}$ =$\frac{b}{\sqrt{b^2-a^2}}-\frac{\sqrt{b^2-a^2}}{b}$
= $\frac{a^2}{b \sqrt{b^2-a^2}}$
Hence,

23 Views

Question : Which of the following is a festival of merriment and heralds the Assamese New Year and the onset of spring?

Option 1: Ali-Ai-Ligang

Option 2: Me-Dam-Me-Phi

Option 3: Bohag Bihu

Option 4: Kati Bihu

Team Careers360 19th Jan, 2024

Correct Answer: Bohag Bihu


Solution : The correct answer is Bohag Bihu.

The boisterous celebration, known as the Bohag Bihu or Rongali Bihu, heralds the arrival of spring and the Assamese New Year. Important holidays in Assam include Baikho, Rongker, Baishagu, Bihu, Ali-Ai-Ligang, and Rajini Gabra.

12 Views

Question : The angles of elevation of an aeroplane flying vertically above the ground, as observed from the two consecutive stones,1 km apart, are 45° and 60°. The height of the aeroplane above the ground in km is:

Option 1: $(\sqrt{3}+1)$

Option 2: $(\sqrt{3}+3)$

Option 3: $\frac{1}{2}(\sqrt{3}+1)$

Option 4: $\frac{1}{2}(\sqrt{3}+3)$

Team Careers360 12th Jan, 2024

Correct Answer: $\frac{1}{2}(\sqrt{3}+3)$


Solution :
Let A be the position of the aeroplane and B and C be the two milestones.
So, BC = 1 km
$\angle \text{ABD} =$ 45° and $\angle \text{ACD} =$ 60°
Let AD = $h$ km and CD = $x$ km
Now, $\tan 45° = \frac{h}{x+1}$

15 Views

Question : First successful heart transplantation was done by

Option 1: D.S. Paintal

Option 2: C.N. Barnard

Option 3: D. Shetty

Option 4: P.K. Sen

Team Careers360 13th Jan, 2024

Correct Answer: C.N. Barnard


Solution : The correct option is C.N. Barnard

Dr. Christiaan Barnard conducted the first successful human heart transplant on December 3, 1967, at Groote Schuur Hospital in Cape Town, South Africa. Louis Washkansky, a 53-year-old grocer with end-stage cardiac disease, was the patient. Denise Darvall, a

7 Views

Question : Direction: In the following question, select the one which is different from other three alternatives.

Option 1: FEDC

Option 2: STUV

Option 3: LKJI

Option 4: RQPO

Team Careers360 12th Jan, 2024

Correct Answer: STUV


Solution : Let's check the options –

First option: FEDC; FEDC is in the reverse alphabetical order.

Second option: STUV; STUV is not in the reverse alphabetical order.

Third option: LKJI; LKJI is in the reverse alphabetical order.

Fourth option: RQPO; RQPO is in the reverse alphabetical

121 Views

Question : Direction: If the following words are arranged in reverse dictionary order, which word comes second?

Option 1: Explosion

Option 2: Express

Option 3: Exploit

Option 4: Expulse

Team Careers360 18th Jan, 2024

Correct Answer: Express


Solution : Given: 

Explosion

Express

Exploit

Expulse

Here, the correct order in the dictionary is given below →

Exploit, Explosion, Express, Expulse

After, reversing the order →

Expulse, Express, Explosion, Exploit

So, after reversing the order the word  Express comes second.

Hence, the second option

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