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Staff Selection Commission Combined Graduate Level Exam

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Question : A solid metallic sphere of radius 4 cm is melted and recast into spheres of 2 cm each. What is the ratio of the surface area of the original sphere to the sum of the surface areas of the spheres, so formed?

Option 1: 2 : 1

Option 2: 2 : 3

Option 3: 1 : 2

Option 4: 1 : 4

Team Careers360 14th Jan, 2024

Correct Answer: 1 : 2


Solution : Given: Radius of bigger sphere = 4 cm
The radius of a smaller sphere = 2 cm
Let the radius of the bigger sphere be $R$ and smaller be $r$.
According to the question,
Number of spheres formed = $\frac{\text{Volume of bigger sphere}}{\text{Volume

18 Views

Question :
In the given figure, ' $G$ ' is the centre of the circle. Find the $\angle ACB$ when $\angle AGB=132^{\circ}$.

Option 1: $62^{\circ}$

Option 2: $66^{\circ}$

Option 3: $64^{\circ}$

Option 4: $60^{\circ}$

Team Careers360 18th Jan, 2024

Correct Answer: $66^{\circ}$


Solution : Given: $\angle AGB=132^{\circ}$.
$\angle AGB= 2×\angle ACB$ [$\because$Angle subtended by an arc at the centre is twice the angle subtended by the same arc at the circumference of the circle on the same side]
⇒ $132^{\circ}= 2×\angle ACB$
⇒ $\angle ACB=66^{\circ}$
Hence, the correct answer

14 Views

Question : Directions: Arrange the following words as per their order in the dictionary.
1. Defect 2. Defence 3. Deerstalker 4. Defensive

Option 1: 2, 3, 1, 4

Option 2: 1, 3, 2, 4

Option 3: 4, 3, 1, 2

Option 4: 3, 1, 2, 4

Team Careers360 24th Jan, 2024

Correct Answer: 3, 1, 2, 4


Solution : Given:
1. Defect 2. Defence 3. Deerstalker 4. Defensive

Step 1: Compare the first and second letters of each word. Since all the words have the same letters D and e, move on to the next letter.
Step 2: The third

14 Views

Question : Leptospirosis is a disease caused by

Option 1: Virus

Option 2: Fungus

Option 3: Protozoa

Option 4: None

Team Careers360 25th Jan, 2024

Correct Answer: None


Solution : The correct option is - none.

Leptospirosis is a disease caused  by an infection with the Leptospira bacteria.
Leptospirosis is a zoonotic disease, which means it can spread from animals to humans.

44 Views

Question : Who moved the Objective Resolution that was later adapted as the Preamble of the Constitution of India?

Option 1: Rajendra Prasad

Option 2: J.B. Kripalani

Option 3: Jawaharlal Nehru

Option 4: B. R. Ambedkar

Team Careers360 15th Jan, 2024

Correct Answer: Jawaharlal Nehru


Solution : The correct answer is Jawahar Lal Nehru.

On 13th December 1946, Jawahar Lal Nehru moved the Objective Resolution from the Constitution. Jawahar Lal Nehru proposed the Objectives Resolution, which was eventually ratified as the Preamble of the Indian Constitution after some modifications.

29 Views

Question : The "Rann Utsav" is organised in which of the following states of India to promote tourism?

Option 1: Gujarat

Option 2: Rajasthan

Option 3: Punjab

Option 4: Maharashtra

Team Careers360 20th Jan, 2024

Correct Answer: Gujarat


Solution : The correct option is Gujarat.

The "Rann Utsav" takes place in the state of Gujarat. It's a vibrant festival that showcases the culture, art, and crafts of the region, particularly in the Rann of Kutch.

The "Rann Utsav" is a cultural festival held annually

8 Views

Question : Directions: If the sum of three consecutive numbers is 15, what is the square of the middle number?

Option 1: 16

Option 2: 25

Option 3: 36

Option 4: 9

Team Careers360 21st Jan, 2024

Correct Answer: 25


Solution : Let the three consecutive numbers be a, (a + 1), and (a + 2).

As per the question, the sum of the three consecutive numbers is 15, then –
⇒ a + a + 1 + a + 2 = 15
⇒ 3a + 3

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