Staff Selection Commission Combined Graduate Level Exam
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:
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
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
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 $\frac{3}{2}$
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
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.
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
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
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: $\frac{a^2}{b \sqrt{b^2-a^2}}$
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,
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
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.
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: $\frac{1}{2}(\sqrt{3}+3)$
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, $\tan 45° = \frac{h}{x+1}$
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
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
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
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
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
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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