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Staff Selection Commission Combined Graduate Level Exam

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Question : The students in three classes are in the ratio 4 : 6 : 9. If 12 students are increased in each class, the ratio changes to 7 : 9 : 12. Then, the total number of students in the three classes before the increase is:

Option 1: 95

Option 2: 76

Option 3: 100

Option 4: 114

Team Careers360 18th Jan, 2024

Correct Answer: 76


Solution : Given:
The students in the three classes are in the ratio of 4 : 6 : 9.
Let the original number of students be $4x,6x,$ and $9x$.
According to the question,
$\frac{4x+12}{6x+12}=\frac{7}{9}$
⇒ $42x+84=36x+108$
⇒ $6x=24$
$\therefore x=4$
So, the required number of students
$=(4x+6x+9x)=19x=19×4=76$

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Question : If $x+5+\frac{1}{x+1}=6$, then the value of $(x+1)^{3}+\frac{1}{(x+1)^{3}}$ is:

Option 1: 2

Option 2: 0

Option 3: –2

Option 4: 4

Team Careers360 25th Jan, 2024

Correct Answer: 2


Solution : Given: $x+5+\frac{1}{x+1}=6$
Subtracting both sides 4
$x+1+\frac{1}{x+1}=2$
Use formula,
$a^3+b^3 = (a+b)^3-3ab(a+b)$ 
So, $(x+1)^{3}+\frac{1}{(x+1)^{3}}=2^3-3\times 2$
$= 8 – 6 = 2$
Hence, the correct answer is 2.

24 Views

Question : A shopkeeper listed the marked price of a chair at a certain amount. If the shopkeeper declares a 15% discount and sells it at Rs.1,445. What is the marked price?

Option 1: Rs. 1,750

Option 2: Rs. 1,800

Option 3: Rs. 1,700

Option 4: Rs. 1,850

Team Careers360 16th Jan, 2024

Correct Answer: Rs. 1,700


Solution : Selling price = Rs. 1445
Discount = 15% of marked price
Now, selling price = marked price – discount
⇒ 85% of marked price = 1445
So, the marked price = $\frac{144500}{85}$ = Rs. 1,700
Hence, the correct answer is Rs. 1,700.

26 Views

Question : In hockey, what is the meaning of the umpire signals by pointing both arms horizontally toward the centre of the field?

Option 1: Goal scored

Option 2: Timing

Option 3: Ball out of play

Option 4: Bully

Team Careers360 19th Jan, 2024

Correct Answer: Goal scored


Solution : The correct answer is Goal scored.

When both arms are pointing horizontally towards the centre spot, a goal is declared; when the umpire raises both arms in the same direction, a penalty corner is called. Two umpires oversee the hockey game, and their

30 Views

Question : In January 2022, which State Government has extended its integrated initiative for the empowerment of persons with disabilities (PwDs) — the Bhima Bhoi Bhinnakshyama Samarthya Abhiyan (BBSA) – for the next five years?

Option 1: Odisha

Option 2: Manipur

Option 3: Jharkhand

Option 4: West Bengal

Team Careers360 17th Jan, 2024

Correct Answer: Odisha


Solution : The correct answer is Odisha.

The Government of Odisha's Department of Social Security and Empowerment of Persons with Disabilities (SSEPD) is introducing the new umbrella programme Bhima Bhoi Bhinnakshyama Samarthya Abhiyan (BBSA), which would function in a mission style with several objectives.

16 Views

Question : The simple interest on a sum of money is $\frac{8}{25}$ of the sum. If the number of years is numerically half of the rate percent per annum, then the rate percent per annum is:

Option 1: $5$%

Option 2: $8$%

Option 3: $6\frac{1}{4}$%

Option 4: $4$%

Team Careers360 18th Jan, 2024

Correct Answer: $8$%


Solution : Let Principal = $P$
$\therefore$ Simple Interest = $\frac{8}{25}P$
Let Rate = R% per annum
$\therefore$ Time = $\frac{R}{2}$ years
Rate = $\frac{SI \times 100}{\text{Principal}\times \text{Time}}$
⇒ R = $\frac{\frac{8}{25}P \times 100}{P\times \frac{R}{2}}$
⇒ R2 = $\frac{8 \times 200}{25} = 64$
⇒ R =

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