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Staff Selection Commission Combined Graduate Level Exam

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Question : The length of the sides of a triangle is $a, b,$ and $c$ respectively if $a^2 + b^2 + c^ 2 = ab + bc + ca$, then the triangle is:

Option 1: Isosceles

Option 2: Equilateral

Option 3: Scalene

Option 4: Right-angled

Team Careers360 19th Jan, 2024

Correct Answer: Equilateral


Solution : Given: $a^2 + b^2 + c^2 = ab + bc + ca$
Multiplying both sides by 2,
$⇒2(a^2 + b^2 + c^2) = 2(ab + bc + ca)$
$⇒a^2 - 2ab + b^2 + b^2 - 2bc + c^2 + c^2 - 2ca + a^2

16 Views

Question : 'Shadow Cabinet' is the feature of Administrative system of:

Option 1: Britain

Option 2: USA

Option 3: France

Option 4: Japan

Team Careers360 24th Jan, 2024

Correct Answer: Britain


Solution : The correct answer is Britain.

Shadow Cabinet is a parliamentary feature of Britain. In this system the opposition party also forms a cabinet and are assigned portfolios to monitor the functioning of the ruling government. It increases the accountability of the ruling party and makes

103 Views

Question : In $\triangle$LMN, LM = $5\sqrt{2}$ cm, LN = 13 cm and $\angle$LMN=135$^{\circ}$. What is the length (in cm) of MN?

Option 1: $7$

Option 2: $8$

Option 3: $8\sqrt{2}$

Option 4: $7\sqrt{2}$

Team Careers360 18th Jan, 2024

Correct Answer: $7$


Solution :
Use: cos 135º = $\frac{b^{2} + c^{2} - a^{2}}{2bc}$ where $b$ and $c$ are the sides of angle whereas $a$ is the side opposite to the angle.
According to the question 
$a$ = 13 cm, $b$ = $5\sqrt{2}$ cm and let $c$ = $x$ cm

11 Views

Question : Select the correct spelling of the underlined word from the following options.

He deceaved the fraternity with the news of his unparalleled accomplishment to accommodate himself in the academic field.

Option 1: decieved

Option 2: desieved

Option 3: deseived

Option 4: deceived

Team Careers360 20th Jan, 2024

Correct Answer: deceived


Solution : The right option is the fourth option.

The correct spelling of the underlined word is deceived, which refers to intentionally causing someone to believe something that is not true, typically in order to gain an advantage or to trick them.

27 Views

Question : A rice trader buys 16 quintals of rice for INR 5,632. 20% of rice is lost in transportation. At what rate should he sell to earn a 25% profit?

Option 1: INR 225.2 per quintal

Option 2: INR 550 per quintal

Option 3: INR 440 per quintal

Option 4: INR 563.2 per quintal

Team Careers360 19th Jan, 2024

Correct Answer: INR 550 per quintal


Solution : The cost price of 16 quintals of rice = INR 5,632
Total Profit = 25% of cost price
= $\frac{25}{100} × 5632$
= INR 1408
Total selling price = cost price + total profit
= INR 5,632 + INR 1,408
= INR

229 Views

Question : Directions: In a certain code language, BREAK is written as 2182111, and COLOUR is written as 34124518. How will TRING be written in that language?

Option 1: 20181347 

Option 2: 20189147

Option 3: 20183147

Option 4: 20183174

Team Careers360 23rd Jan, 2024

Correct Answer: 20183147


Solution : Given:
BREAK is written as 2182111, and COLOUR is written as 34124518.

First, write the place values of consonants present in the word BREAK and COLOUR as they appear in the English alphabetical series, and positions of vowels are written as (A→1, E→2, I→3, O→4,

206 Views

Question : A man, a boy, and a woman can finish work in 10 days, 15 days, and 30 days, respectively. In how many days can the work be finished by a man, a woman, and a boy when all of them work together?

Option 1: 10

Option 2: 5

Option 3: 8

Option 4: 6

Team Careers360 19th Jan, 2024

Correct Answer: 5


Solution : The work done by man in 1 days = $\frac{1}{10}$
The work done by boy in 1 days = $\frac{1}{15}$
The work done by women in 1 days = $\frac{1}{30}$
The total work done by a man, a woman, and a boy in days =

63 Views

Question : Directions: Select the option that is related to the fourth term in the same way as the first term is related to the second term and the fifth term is related to the sixth term.
8 : 96 :: ? : 54 :: 12 : 216

Option 1: 8

Option 2: 6

Option 3: 10

Option 4: 4

Team Careers360 23rd Jan, 2024

Correct Answer: 6


Solution : Given:
8 : 96 :: ? : 54 :: 12 : 216

In the above-given pairs, divide the first number by 2. Multiply 3 by the first number and then multiply both the resultants.
Like, 8 : 96→(8 ÷ 2) × 8 × 3 =

15 Views

Question : In context of the stock market, IPO stands for:

 

Option 1: Immediate Payment Order

Option 2: Internal Policy Obligation 

Option 3: Initial Public Order 

Option 4: International Payment Obligation 

Team Careers360 24th Jan, 2024

Correct Answer: Initial Public Order 


Solution : The correct option is Initial Public Order.

 

In the context of the stock market, IPO  stands for Initial Public Offering. This denotes the initial issuance of a company's stock to the public for purchase on a stock exchange. This event holds great importance

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