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Staff Selection Commission Combined Graduate Level Exam

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Question : If x + y = 7 and xy = 19, calculate the value of x+ y2.

Option 1: 17

Option 2: 12

Option 3: 11

Option 4: 19

Team Careers360 27th Jan, 2024

Correct Answer: 11


Solution : Given: x + y = 7 and xy = 19.
On squaring both sides of the equation x + y = 7, we get,
(x + y)2 = 72
⇒ (x+ y+ 2xy) = 49
⇒ x+

17 Views

Question : The greater of the two numbers whose product is 900 and whose sum exceeds their difference by 30 is:

Option 1: 60

Option 2: 75

Option 3: 90

Option 4: 100

Team Careers360 26th Jan, 2024

Correct Answer: 60


Solution : Let the numbers be $x$ and $y$ where $x > y$.
According to the question,
⇒ $(x + y) – (x – y) = 30$
⇒ $x + y–x + y = 30$
⇒ $y = \frac{30}{2} = 15$
Also, $xy = 900$
⇒ $15x

17 Views

Question : In an examination, 92% of the students passed and 480 students failed. If so, how many students appeared in the examination?

Option 1: 5,800

Option 2: 6,200

Option 3: 6,000

Option 4: 5,000

Team Careers360 27th Jan, 2024

Correct Answer: 6,000


Solution : Given: In an examination, 92% of the students passed and 480 students failed.
Let the number of the students who appeared in the examination = 100%.
The number of the students failed = 100 – 92 = 8%.
8% = 480
The number of students

Question : Directions: From the given option figures, select the one in which the question figure is embedded.

Option 1:

Option 2:

Option 3:

Option 4:

Team Careers360 26th Jan, 2024

Correct Answer:


Solution : Since there is no restriction on the rotation of the figure, we will check all possible angles where the question figure can fit itself in all the given option figures.
The question figure is embedded only in the first option figure.

Hence, the first option is

116 Views

Question : The cost price of an article is decreased by 10% and then increased by 20%. If the final price is INR 540, then the original cost price is:

Option 1: INR 500

Option 2: INR 650

Option 3: INR 550

Option 4: INR 600

Team Careers360 27th Jan, 2024

Correct Answer: INR 500


Solution : Let the cost price be INR $x$.
The cost price first decreased by 10%, then increased by 20%.
So, $\frac{x×90×120}{100×100}=540$
⇒ $108x=54000$
⇒ $x=500$
Therefore, the original cost price = INR 500
Hence, the correct answer is INR 500.

24 Views

Question : Directions: A gets more marks than B but less than C. D gets lesser marks than E but more than A. If C gets less than D then who amongst A, B, C, D, and E gets the highest marks?

Option 1: C

Option 2: D

Option 3: E

Option 4: B

Team Careers360 27th Jan, 2024

Correct Answer: E


Solution : Given:
A gets more marks than B but less than C.
B < A < C
D gets lesser marks than E but more than A
A < D < E
C gets less than D.
C < D
By concluding all the given information,

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Question : Who is thr highest civil servant of the Union Government?

Option 1: Attorney General

Option 2: Cabinet secretary

Option 3: Home secretary

Option 4: Principal secretary to the Prime Minister

Team Careers360 27th Jan, 2024

Correct Answer: Cabinet secretary


Solution : Correct Answer is Cabinet secretary

A civil servant (also called a public employee) is an worker of a public sector undertaking employed by a public sector department or agency of the government of India. A civil servant works for the central government and state

41 Views

Question : The average mark obtained by a class of 60 students is 65. The average marks of half of the students were found to be 85. The average marks of the remaining students are:

Option 1: 35

Option 2: 45

Option 3: 55

Option 4: 65

Team Careers360 26th Jan, 2024

Correct Answer: 45


Solution : Given that the average mark of 60 students is 65.
Total marks = (60 × 65) = 3900
The average mark of half of the students = 85
Therefore, total marks of 30 students = 30 × 85 = 2550
Total marks of the remaining

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