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Staff Selection Commission Combined Graduate Level Exam

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10 Views

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 16th Jan, 2024

Correct Answer:


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

Hence, the second option is correct.

21 Views

Question : If $x+\frac{1}{x}=1$, then the value of $x^{12}+x^9+x^6+x^3+1$ is:

Option 1: 1

Option 2: - 1

Option 3: 0

Option 4: - 2

Team Careers360 8th Jan, 2024

Correct Answer: 1


Solution : We have to find the value of $x^{12} + x^9 + x^6 + x^3 + 1$
Given, $x + \frac{1}{x} = 1$
$x^2 + 1 = x$
⇒ $x^2 - x + 1 = 0$
⇒ $x^3+1^3=(x + 1)(x^2 - x + 1) $

120 Views

Question : A supply of juice lasts for 35 days. If its use is increased by 40%, the number of days the same amount of juice would last is:

Option 1: 25 days

Option 2: 30 days

Option 3: 24 days

Option 4: 27 days

Team Careers360 24th Jan, 2024

Correct Answer: 25 days


Solution : Let the original use of the juice be 100 units.
Now, after the increase of 40%, the use becomes (100 + 100 × $\frac{40}{100}$) = 140 units
So, 140 units of juice will be required for 35 days
⇒ 100 units of juice will

20 Views

Question : If $x^{2} + \frac{1}{x^{2}} = 18$ and $x > 0$, what is the value of $x^{3} + \frac{1}{x^{3}}?$

Option 1: $36 \sqrt{5}$

Option 2: $40 \sqrt{5}$

Option 3: $46 \sqrt{5}$

Option 4: $34 \sqrt{5}$

Team Careers360 23rd Jan, 2024

Correct Answer: $34 \sqrt{5}$


Solution : $x^{2} + \frac{1}{x^{2}} = 18$
⇒ $x^{2} + \frac{1}{x^{2}} + 2 = 18+2$
⇒ $(x + \frac{1}{x})^{2} = 20$
⇒ $(x + \frac{1}{x}) = \sqrt{20}$
Now, $(x + \frac{1}{x})^{3}=x^3+\frac{1}{x^3}+3 × x × \frac{1}{x} × (x + \frac{1}{x})$
⇒ $(\sqrt{20})^3=x^3+\frac{1}{x^3}+3×\sqrt{20}$
⇒ $x^3+\frac{1}{x^3}=20\sqrt{20} - 3\sqrt{20}$

14 Views

Question : Direction: Which of the following diagrams represents the correct relationship between Herbivores, Tigers, and Animals?

Option 1:

Option 2:

Option 3:

Option 4:

Team Careers360 19th Jan, 2024

Correct Answer:


Solution : Tigers are animals and they are carnivores, not herbivores. 

But, herbivores are also animals. So, both the circles come inside the circle of animals.

Based on the above conclusions, the following Venn diagram will be formed:

Hence, the first option is correct. 

14 Views

Question : The Competition (Amendment) Bill, 2022 proposes to reduce the timeline for the CCI to pass an order on transactions from 210 days to _______ days.

Option 1: 140

Option 2: 180

Option 3: 150

Option 4: 190

Team Careers360 11th Jan, 2024

Correct Answer: 150


Solution : The correct answer is 150.

The proposed Competition (Amendment) Bill of 2022 recommends shortening the duration within which the Competition Commission of India (CCI) is required to issue an order on transactions, reducing it from 210 days to 150 days. More specifically, the bill

13 Views

Question : Directions: In the following question, find the odd number pair from the given alternatives.

Option 1: 24

Option 2: 49

Option 3: 64

Option 4: 81

Team Careers360 11th Jan, 2024

Correct Answer: 24


Solution : Let's check the options —
First option: 24→24 is not a perfect square.
Second option: 49→49 = 72
Third option: 64→64 = 82
Fourth option: 81→81 = 92

So, the first option is the odd one as all the other three options

28 Views

Question : Directions: Which two signs and two numbers should be interchanged in the following equation to make it correct?
264 + 24 × 9 ÷ 60 – 4 = 630

Option 1: 264 and 9; ÷ and −

Option 2: 264 and 9; + and –

Option 3: 4 and 24; ÷ and +

Option 4: 4 and 9; − and ×

Team Careers360 20th Jan, 2024

Correct Answer: 4 and 24; ÷ and +


Solution : Given:
264 + 24 × 9 ÷ 60 – 4 = 630

Replace the given signs and numbers in the equation one by one with the original signs in the given equation.
First option: 264 and 9; ÷ and −

12 Views

Question : Directions: The graph shows the result of 10th class students of school for 4 years. Study the graph and answer the question:

III class

II class

I class

The percentage increase in first class in the year 2003 over the year 2002 is approximately:

Option 1: 12%

Option 2: 0%

Option 3: 10%

Option 4: 10%

Team Careers360 14th Jan, 2024

Correct Answer: 0%


Solution : $$\text{Percentage Change =}\frac{\text{No. of Student in year 2003 - No. of Student in year 20002}}{\text{ No. of Student in year 2002}}\times100$$

$\text{Here , both Steep of graph for first class in the year 2003 over the year 2002 is same. So Numerator for above Formula

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