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Staff Selection Commission Combined Graduate Level Exam

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Question : A shopkeeper offers the following two discount schemes.
A) Two successive discounts of 10% and 15%
B) Buy 5 get 2 free.
Which scheme has the maximum discount percentage?

Option 1: B does not give any discount

Option 2: B

Option 3: A and B both have the same discount percentage

Option 4: A

Team Careers360 24th Jan, 2024

Correct Answer: B


Solution : For the first condition,
We know that two successive discounts of $a$% and $b$% are equivalent to $(a+b-\frac{a×b}{100})\%$
So, two successive discounts of 10% and 15% are equivalent to,
$(10+15-\frac{10×15}{100})=23.5$%
For the second condition,
So, discount = $\frac{7-5}{7}×100=28.57$%
So, the scheme which has the maximum

24 Views

Question : In a $\triangle ABC, \angle B=\frac{\pi}{3}, \angle C=\frac{\pi}{4}$ and D divides BC internally in the ratio 1 : 3, then $\frac{\sin \angle BAD}{\sin \angle CAD}$ is equal to:

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

Option 2:

$\frac{1}{\sqrt{3}}$

Option 3:

$\frac{1}{\sqrt{6}}$

Option 4: $\sqrt{6}$

Team Careers360 25th Jan, 2024

Correct Answer:

$\frac{1}{\sqrt{6}}$


Solution :
Given:
$\triangle ABC, \angle B=\frac{\pi}{3}=\frac{180°}{3}=60°,$ and $\angle C=\frac{\pi}{4}=\frac{180°}{4}=45°$
So, $\angle A= 180°-(60°+45°)=75°$
In triangles $ABD$ and $ACD$, we have:
$\frac{AB}{\sin B}=\frac{BD}{\sin \angle BAD}$ and 
$\frac{AD}{\sin C}=\frac{CD}{\sin \angle CAD}$
⇒ $\frac{\sin C}{\sin B}=\frac{\sin \angle CAD}{\sin \angle BAD}×\frac{BD}{CD}$
⇒ $\frac{\sin 60°}{\sin 45°}=\frac{\sin \angle CAD}{\sin \angle BAD}×\frac{1}{3}$

7 Views

Question : Padma Shri awardee in 2022, Arjun Singh Dhurve, is a tribal dancer of which of the following dance forms?

Option 1: Baiga

Option 2: Chhau

Option 3: Santhal

Option 4: Teratali

Team Careers360 25th Jan, 2024

Correct Answer: Baiga


Solution : The correct option is Baiga.

Arjun Singh Dhurve, a retired teacher from the Indian state of Madhya Pradesh's Dindori area, is a folk dancer. He was born on August 12, 1953. He is renowned for making Baiga dances and songs. The primary dance of

21 Views

Question : Identify the step that is not a part of decomposition.

Option 1: Leaching

Option 2: Humification

Option 3: Catabolism

Option 4: Soil erosion

Team Careers360 24th Jan, 2024

Correct Answer: Soil erosion


Solution : The correct answer is Soil erosion.

The process through which complex organic matter is broken down into simpler inorganic substances is called decomposition. The decomposition process has five steps. These include mineralization, humification, catabolism, leaching, and fragmentation. The detritus breaks up trash into

25 Views

Question : At what time will a 100 metres long train running at a speed of 50 km/h cross a pillar?

Option 1: 7 seconds

Option 2: 72 seconds

Option 3: 7.2 seconds

Option 4: 70 seconds

Team Careers360 25th Jan, 2024

Correct Answer: 7.2 seconds


Solution : Given: The distance of the train is 100 m.
The speed of the train is 50 km/h.
We know that, $\text{Time}=\frac{\text{Distance}}{\text{Speed}}$
To convert km/h into m/s, multiply with $\frac{5}{18}$, we get,
$50\times \frac{5}{18}=\frac{125}{9}$ m/s
So, the train takes time to cross the pillar =

9 Views

Question : Direction: In the following question a word is followed by four other words, one of which can not be formed by using the letters of the given word. Find this word.

SEGREGATION

Option 1: SEATING

Option 2: NATION

Option 3: GREAT

Option 4: GREETINGS

Team Careers360 24th Jan, 2024

Correct Answer: NATION


Solution : Given:

SEGREGATION

First option: SEATING;

All the letters of the above word are present in the given word SEGREGATION.

Second option: NATION; 

The letter is present two times in the above word. But, the letter N is present only once in the word SEGREGATION

118 Views

Question : Directions: In a certain code language, DUST is coded as 16 and EARTH is coded as 25. How will MAN be coded in the same language?

Option 1: 12

Option 2: 9

Option 3: 6

Option 4: 36

Team Careers360 25th Jan, 2024

Correct Answer: 9


Solution : Given
DUST is coded as 16 and EARTH is coded as 25.

Square the number of letters in DUST, to obtain the required code –
The number of letters in the word DUST = 4; (4)2 = 16
Thus, DUST is coded as 16.

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