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Staff Selection Commission Combined Graduate Level Exam

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Question : In which of the following cities of British India was Lata Mangeshkar born?

Option 1: Bombay

Option 2: Calcutta

Option 3: Lucknow

Option 4: Indore

Team Careers360 18th Jan, 2024

Correct Answer: Indore


Solution : The correct answer is Indore

On September 28, 1929, Lata Mangeshkar was born into a Marathi family in Indore, the capital of the princely state of Indore, which was a part of the Central India Agency in British India. Indore is now a district

11 Views

Question : How many rings are there in the Olympic flag ?

Option 1: 4

Option 2: 5

Option 3: 6

Option 4: 7

Team Careers360 18th Jan, 2024

Correct Answer: 5


Solution : The correct option is - 5.

The Olympic symbol is made up of five equal-sized rings that are interlaced and can be used alone, in one color, or in five colors from left to right, blue, yellow, black, green, and red.

6 Views

Question : In December 2021, Aanchal Thakur was in news for winning a bronze medal at an international event. Which sport is she associated with?

Option 1: Alpine Skiing

Option 2: Biathlon

Option 3: Billiards

Option 4: Figure Skating

Team Careers360 21st Jan, 2024

Correct Answer: Alpine Skiing


Solution : The correct Option is Alpine Skiing

Aanchal Thakur created history when she became the first Indian skier to ever win an international medal. The prized Alpine Ejder 3200 Cup saw bronze awarded to the 21-year-old Manali native.
 

9 Views

Question : How many industries are classified in the Industrial Policy Resolution 2022?

Option 1: Five

Option 2: Four

Option 3: Three

Option 4: Two

Team Careers360 19th Jan, 2024

Correct Answer: Three


Solution : The correct option is Three.

The three categories used by the Industrial Policy Resolution are:

1. Schedule A Industries: These are exclusively available for use by the public sector and the government enjoys a monopoly in some areas.

2. Schedule B Industries: The public and

11 Views

Question : Find the value of the following expression.
$5\left(\sin ^4 \theta+\cos ^4 \theta\right)+3\left(\sin ^6 \theta+\cos ^6 \theta\right)+19 \sin ^2 \theta \cos ^2 \theta$

Option 1: 8

Option 2: 5

Option 3: 6

Option 4: 7

Team Careers360 21st Jan, 2024

Correct Answer: 8


Solution : $5(\sin ^4 \theta+\cos ^4 \theta)+3(\sin ^6 \theta+\cos ^6 \theta)+19 \sin ^2 \theta \cos ^2 \theta$
$=5[(\sin ^2 \theta+\cos ^2 \theta)^2-2\sin ^2 \theta\cos ^2 \theta]+3[(\sin ^2 \theta+\cos ^2 \theta)^3-3\sin ^2 \theta\cos ^2 \theta(\sin ^2 \theta+\cos ^2 \theta)] + 19 \sin ^2 \theta \cos ^2 \theta$
$=

28 Views

Question : Copper wires are generally used for electrical power transmission instead of iron wire because:

Option 1: Copper is cheaper than iron

Option 2: Copper is lighter than iron

Option 3: Copper is a good conductor of electricity than iron

Option 4: Copper can take higher power than iron

Team Careers360 20th Jan, 2024

Correct Answer: Copper is a good conductor of electricity than iron


Solution : The correct answer is Copper is a good conductor of electricity than iron.

Copper wires are preferred for electrical transmission over iron wires due to their superior electrical conductivity and lower resistivity. They exhibit reduced oxidation and

12 Views

Question : Select the most appropriate SYNONYM of the underlined word.

The heavy and abundant rainfall has a major role to play in the production of crops.

Option 1: Cyclonic

Option 2: Intermittent

Option 3: Ample

Option 4: Prolonged

Team Careers360 18th Jan, 2024

Correct Answer: Ample


Solution : The correct choice is the third option.

Explanation: In the context of the sentence, the word abundant is used to describe the amount of rainfall. The word ample also conveys the idea of a plentiful or generous amount of rainfall. It fits well

27 Views

Question : If $3a=4b=6c$ and $a+b+c=27\sqrt{29}$, then $\sqrt{a^{2}+b^{2}+c^{2}}$ is equal to:

Option 1: 87

Option 2: $3\sqrt{29}$

Option 3: 82

Option 4: 83

Team Careers360 20th Jan, 2024

Correct Answer: 87


Solution : Given: $3a=4b=6c$
⇒ $3a=6c$
⇒ $a=2c$
$4b=6c$
⇒ $b=\frac{3}{2}c$
Putting these values in the equation, we get,
$a+b+c=27\sqrt{29}$
⇒ $2c+\frac{3}{2}c+c=27\sqrt{29}$
⇒ $\frac{9}{2}c=27\sqrt{29}$
⇒ $c=6\sqrt{29}$
now we have to find $\sqrt{a^2+b^2+c^2}$, then:
$\sqrt{a^2+b^2+c^2}=\sqrt{(a+b+c)^2–2(ab+bc+ca)}$
Putting the values
⇒ $\sqrt{a^2+b^2+c^2}=\sqrt{(27\sqrt{29})^2–2(2c×\frac{3}{2}c+\frac{3}{2}c×c+c×2c)}$
⇒ $\sqrt{a^2+b^2+c^2}=\sqrt{(27\sqrt{29})^2–2(3c^2+\frac{3}{2}c^2+2c^2)}$
⇒ $\sqrt{a^2+b^2+c^2}=\sqrt{(729×29)–2×\frac{13}{2}c^2}$
⇒ $\sqrt{a^2+b^2+c^2}=\sqrt{(729×29)–13c^2}$
⇒ $\sqrt{a^2+b^2+c^2}=\sqrt{21141–13(6\sqrt{29})^2}$

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