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Staff Selection Commission Combined Graduate Level Exam

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Question : A can finish a work in 20 days and B can complete the same work in 15 days. B worked for 9 days and left the job. In how many days can A alone finish the remaining work?

Option 1:  10 days

Option 2: 8 days

Option 3: 9 days

Option 4: 7 days

Team Careers360 21st Jan, 2024

Correct Answer: 8 days


Solution : Work done by A in 1 day $= \frac{1}{20}$ part of the work
Work done by B in 1 day $= \frac{1}{15}$ part of the work
So, work done by A in 9 days $= \frac{9}{15}$ part of the work
So, Remaining work =

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Question : Select the most appropriate option that can substitute the underlined segment in the given sentence.

National development is defined as an improvement in people's daily arrangements, the provision of fundamental necessities to citizens such as food, education, social services, medical help, and so on, as well as an increase in per capita income.

Option 1: diving techniques

Option 2: dining categories

Option 3: existing calamities

Option 4: living conditions

Team Careers360 21st Jan, 2024

Correct Answer: living conditions


Solution : The correct choice is the fourth option.

Explanation: The underlined segment refers to the improvement in people's daily lives and the provision of fundamental necessities. "Living conditions" accurately captures this meaning.

So, the correct sentence is: National development is defined as an improvement in

75 Views

Question : Study the given pie chart carefully and answer the following question.
What is the total amount (in Rs.) that the school uses for payments?

Option 1: 1,20,000

Option 2: 3,10,000

Option 3: 1,10,000

Option 4: 2,10,000

Team Careers360 14th Jan, 2024

Correct Answer: 1,10,000


Solution : Given: The entire fund the school gets is Rs. 10,00,000.
It is funded by different sources represented by the pie chart as (35 + 15 + 12 + 38) = 100%
Then, 1% equal to $\frac{10,00,000}{100}$ = Rs. 10,000
The funds used by the school

15 Views

Question : Directions: In the following question, out of the four alternatives, select the alternative that will improve the bracketed part of the sentence. In case no improvement is needed, select "No Improvement".

It is (all but same) to me whether I am transferred to Mumbai or Kolkata.

(1) all or same

(2) all the same

(3) all one

(4) No Improvement

Option 1: (1)

Option 2: (2)

Option 3: (3)

Option 4: (4)

Team Careers360 13th Jan, 2024

Correct Answer: (2)


Solution : The sentence can be improved using the second option.

The phrase "all the same" means makes no difference and is the appropriate choice for this sentence. The rest of the options are incorrect as they are not phrases in the standard English language.

Therefore, the

18 Views

Question : Directions: Which of the following interchange of signs would make the given equation correct?
5 + 3 × 8 – 12 ÷ 4 = 3

Option 1: – and ÷

Option 2: + and ×

Option 3: + and ÷

Option 4: + and –

Team Careers360 13th Jan, 2024

Correct Answer: – and ÷


Solution : Given:
5 + 3 × 8 – 12 ÷ 4 = 3

Replace the given signs in the options one by one with those in the given equation.
First option: – and ÷
= 5 + 3 × 8 ÷ 12 – 4 

126 Views

Question : The ratio of the length of each equal side and the third side of an isosceles triangle is 3 : 5. If the area of the triangle is $30 \sqrt{11}$ cm2, then the length of the third side (in cm) is:

Option 1: $10\sqrt{6}$

Option 2: $5\sqrt{6}$

Option 3: $13\sqrt{6}$

Option 4: $11\sqrt{6}$

Team Careers360 24th Jan, 2024

Correct Answer: $10\sqrt{6}$


Solution : Let the equal sides be $3x$ cm and the third side be $5x$ cm.
By heron's formula, Area of triangle = $\sqrt{s(s-a)(s-b)(s-c)}$
Where, $s=\frac{a+b+c}{2}$
Here, $s=\frac{3x+3x+5x}{2}$
⇒ $s=\frac{11x}2$
So, $\sqrt{\frac{11x}2(\frac{11x}2-3x)(\frac{11x}2-3x)(\frac{11x}2-5x)} = 30\sqrt{11}$
⇒ $\sqrt{\frac{11x}2(\frac{5x}2)(\frac{5x}2)(\frac{1x}2)} = 30\sqrt{11}$
⇒ $\frac{5}{4}\sqrt{11}x^2 = 30\sqrt{11}$
⇒ $x^2 = 24$

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Question : What is the value of $\left(27 x^3-58 x^2 y+31 x y^2-8 y^3\right)$, when $x=-5$ and $y=-7?$

Option 1: 1924

Option 2: – 1924

Option 3: – 1926

Option 4: 1926

Team Careers360 15th Jan, 2024

Correct Answer: 1924


Solution : Given:
$x=-5$ and $y=-7$
$\left(27 x^3-58 x^2 y+31 x y^2-8 y^3\right)$
$= (3x)^3-3×(3x)^2×2y+3×3x×(2y)^2-(2y)^3-4x^2y-5xy^2$
$= (3x-2y)^3-xy(4x+5y)$
$= (3×(-5)-2×(-7))^3-(-5×(-7))(4×(-5)+5×(-7))$
$=-1-35(-20-35)$
$= -1-35(-55)$
$= -1+1925$
$= 1924$
Hence, the correct answer is 1924.

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