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Staff Selection Commission Combined Graduate Level Exam

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Question : If $a+\frac{1}{a}=1$, then the value of $\frac{a^2-a+1}{a^2+a+1}$ is $(a\neq 0)$:

Option 1: 1

Option 2: –1

Option 3: 0

Option 4: 2

Team Careers360 19th Jan, 2024

Correct Answer: 0


Solution : Given: $a+\frac{1}{a}=1$
⇒ $\frac{a^2+1}{a}=1$
⇒ $a^2+1=a$
⇒ $a^2-a+1=0$
Now, $\frac{a^2–a+1}{a^2+a+1}=\frac{0}{a^2+a+1}=0$
Hence, the correct answer is 0.

17 Views

Question : Directions: Select the figure from among the given options that can replace the question mark (?) in the following series.

Option 1:

Option 2:

Option 3:

Option 4:

Team Careers360 18th Jan, 2024

Correct Answer:


Solution : According to the given figures –
1. The figure with the arrow rotates by 90° in the clockwise direction.
2. The letters are in sequential order and shift their position following the below two patterns –
a. Top left→Top right→Bottom right→Bottom left→Top left
b. Bottom right→Bottom

29 Views

Question : P and Q can complete a project in 15 days and 10 days, respectively. They started doing the work together, but after 2 days, Q had to leave and P alone completed the remaining work. In how many days was the whole work completed?

Option 1: 11

Option 2: 12

Option 3: 13

Option 4: 10

Team Careers360 23rd Jan, 2024

Correct Answer: 12


Solution : Given: P and Q can complete a project in 15 days and 10 days, respectively.
LCM of 15 and 10 is 30.
Let the work be 30 units.
Efficiency of P = $\frac{30}{15}=2$
Efficiency of Q = $\frac{30}{10}=3$
Two days of work of P and

19 Views

Question : A man spends 15% of his income. If his expenditure is Rs. 75, then his income (in Rs.) is:

Option 1: 400

Option 2: 300

Option 3: 750

Option 4: 500

Team Careers360 20th Jan, 2024

Correct Answer: 500


Solution : Given: A man spends 15% of his income and his expenditure is Rs. 75.
Here, 15% is equivalent to Rs. 75.
So, 100% is equivalent to $\frac{75×100}{15}$ = Rs. 500
$\therefore$ His income is Rs. 500.
Hence, the correct answer is 500.

11 Views

Question : Select the correct passive form of the given sentence.

They are making elaborate arrangements for the party.

Option 1: Elaborate arrangements have been made for the party.

Option 2: Elaborate arrangements are made for the party.

Option 3: Elaborate arrangements are being made for the party.

Option 4: Elaborate arrangements were being made for the party.

Team Careers360 16th Jan, 2024

Correct Answer: Elaborate arrangements are being made for the party.


Solution : The correct choice is the third option.

Passive voice is the voice in which the object experiences an action rather than the person who acts. Hence, the object in the active sentence becomes the subject in the

25 Views

Question : Two numbers are 50% and 80% less than the third number. By what percentage should the second number be enhanced to make it equal to the first number?

Option 1: 150%

Option 2: 60%

Option 3: 30%

Option 4: 37.5%

Team Careers360 21st Jan, 2024

Correct Answer: 150%


Solution : Let the third number be 100$x$.
Then, the first number = 50% less than 100$x$
= 50$x$
The second number = 80% less than 100$x$
= 20$x$
So, the required percentage change = $\frac{\text{ first number – second number}}{\text{second number}} × 100$%
= $\frac{50x-20x}{20x}$ ×

9 Views

Question : Directions: In the following question a series is given, with one number missing. Choose the correct alternative from the given ones that will complete the series.
1, 5, 2, 6, 3, 7, ?

Option 1: 6

Option 2: 5

Option 3: 4

Option 4: 3

Team Careers360 22nd Jan, 2024

Correct Answer: 4


Solution : Given:
1, 5, 2, 6, 3, 7, ?

The series is a combination of two series (1, 2, 3, ...) and (5, 6, 7, ...)
The common difference between the first and second series is 1.
1, 5, 2, 6, 3, 7,

46 Views

Question :

Which of the following structures present in mammalian skin directly helps in keeping the body warm
 

Option 1:

Pigmented cells

Option 2:

Sweat glands

Option 3:

Lymph vessels

 

Option 4: Blood capillaries

Team Careers360 15th Jan, 2024

Correct Answer: Blood capillaries


Solution : The correct option is blood capillaries.

Among the structures present in mammalian skin, blood capillaries play a significant role in helping to regulate body temperature. Blood capillaries in mammalian skin help regulate body temperature by constricting to conserve heat in cold conditions and dilating

17 Views

Question : The volume of a solid cylinder is 2002 cm3 and its height is 13 cm. What is the area (in cm2) of its base?
(Take $\pi=\frac{22}{7}$)

Option 1: 77

Option 2: 154

Option 3: 231

Option 4: 308

Team Careers360 21st Jan, 2024

Correct Answer: 154


Solution : The volume of a solid cylinder = 2002 cm3
Height = 13 cm
The volume of the cylinder = Bh
Where B = Area of the base and h = height
According to the question,
2002 = B × 13
$\therefore$ B = $\frac{2002}{13}=154

12 Views

Question : Select the most appropriate option to improve the underlined segment in the given sentence. If there is no need to improve it, select 'No improvement'.

You will have to pay heavy for your crimes.

Option 1: to be paying heavily

Option 2: to pay heavily

Option 3: to paid heavily

Option 4: No improvement

Team Careers360 21st Jan, 2024

Correct Answer: to pay heavily


Solution : The second option is the correct choice.

In this context, heavy is an adjective, and it should be replaced with the adverb heavily to modify the verb pay correctly. Adverbs are used to describe how an action is performed, and in this case,

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