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Staff Selection Commission Combined Higher Secondary Level Exam

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Question : The 12th term of the series $\frac{1}{x}+\frac{x+1}{x}+\frac{2x+1}{x}+...$ is:

Option 1: $\frac{11x+1}{x}$

Option 2: $\frac{12x+1}{x}$

Option 3: $\frac{x+12}{x}$

Option 4: $\frac{x+11}{x}$

Team Careers360 18th Jan, 2024

Correct Answer: $\frac{11x+1}{x}$


Solution : The given series is a sequence where each term is of the form $\frac{nx+1}{x}$, where n is the term number starting from 0. 
So, the 12th term of the series (where n = 11 because we start from 0) would be
$\frac{11x+1}{x}$.
Hence, the correct

22 Views

Question : Which of the following schools is associated with Jawaharlal Nehru ?

Option 1: NAVYUG School

Option 2: NAVODAYA School 

Option 3: SARVODAYA 

Option 4: None of the above 

Team Careers360 21st Jan, 2024

Correct Answer: NAVODAYA School 


Solution : The Correct Answer is NAVODAYA School 

Jawaharlal Nehru, the son of Motilal Nehru, a well-known lawyer and supporter of Indian nationalism, received his education in England. The Indian system of gifted education includes the Jawahar Navodaya Vidyalaya, also known as JNV, which is a

39 Views

Question : Directions: How many maximum triangles are there in the given figure?

Option 1: 32

Option 2: 20

Option 3: 28

Option 4: 24

Team Careers360 25th Jan, 2024

Correct Answer: 28


Solution : The given figure can be labelled as shown below –

Now, in the above figure, there are a total of 28 triangles. They are CIH, HIJ, JID, DIC, CHJ, HJD, CDJ, CDH, HGA, AGF, FGJ, JGH, HAF, AFJ, FJH, JHA, BCH, ABH, ABC, DJE, EJF,

18 Views

Question : A reduction of 10% in the price of a commodity enables a person to buy 25 kg more for Rs. 225. The original price of the commodity per kg was:

Option 1: Rs. 2

Option 2: Re. 1

Option 3: Rs. 2.50

Option 4: Rs.1.50

Team Careers360 25th Jan, 2024

Correct Answer: Re. 1


Solution : Let the original price of the commodity be Rs. $x$ per kg.
Reduction = 10%
New price is 90% of $x$ = $\frac{90}{100}x$ = Rs. $\frac{9}{10}x$
According to the question:
$\frac{225}{\frac{9}{10}x}$–$\frac{225}{x}$ = 25
⇒ $\frac{2250}{9x}$–$\frac{225}{x}$ = 25
⇒ $\frac{2250-2025}{9x}$ = 25
⇒ $\frac{225}{25}$ =

9 Views

Question : If $a + b + c = 12$ and $ab + bc + ca = 22$, then what is the value of $a^3 + b^3 + c^3 - 3abc ?$

Option 1: 1052

Option 2: 936

Option 3: 924

Option 4: 876

Team Careers360 21st Jan, 2024

Correct Answer: 936


Solution : Using the given equation $a + b + c = 12$, we can substitute this value into the formula:
$a^3 + b^3 + c^3 - 3abc = (a + b + c)(a^2 + b^2 + c^2 - ab - bc - ca)$
⇒ $a^3 +

43 Views

Question : Directions: Which of the following diagrams represents the relationship among Graduates, Doctors, and Professors?

Option 1:

Option 2:

Option 3:

Option 4:

Team Careers360 22nd Jan, 2024

Correct Answer:


Solution : Based on the general information for people to be doctors and professors, they need to be graduates. So, the circle representing doctors and professors will lie inside the circle representing graduates, some professors can be doctors and some doctors can also be professors.

So, the Venn

25 Views

Question : A, B, and C started a business by investing INR 9,000, INR 18,000 and INR 21,000, respectively. If B's share in the profit earned by them is INR 759, then the total profit earned by them together is:

Option 1: INR 2,808

Option 2: INR 2,024

Option 3: INR 2,504

Option 4: INR 2,208

Team Careers360 24th Jan, 2024

Correct Answer: INR 2,024


Solution : Ratio of investment
A : B : C = 9000 : 18000 : 21000
⇒ A : B : C = 3 : 6 : 7
Let $x$ be the whole profit.
According to the question,
B's share = 759
⇒ $\frac{6x}{3+6+7} = 759$

102 Views

Question : A certain sum becomes Rs. 1,050 in 5 years and Rs. 1,230 in 8 years at simple interest. What is the sum?

Option 1: Rs. 950

Option 2: Rs. 700

Option 3: Rs. 650

Option 4: Rs. 750

Team Careers360 22nd Jan, 2024

Correct Answer: Rs. 750


Solution : Given: A certain sum becomes Rs. 1,050 in 5 years and Rs. 1,230 in 8 years at simple interest.
So, simple interest for 3 years = 1230 – 1050 = 180
$\therefore$ simple interest for 5 years = $\frac{180}{3}$ × 5 = 300
So,

43 Views

Question : Who among the following was the disciple of Ramakrishna Paramahansa?

Option 1: Swami Dayanand

Option 2: Swami Sahajananada

Option 3: Swami Vivekananda

Option 4: Swami Shraddhanand

Team Careers360 21st Jan, 2024

Correct Answer: Swami Vivekananda


Solution : The correct answer is Swami Vivekananda.

The 19th-century saint Ramakrishna Paramahamsa is recognised as the spiritual founder of the Ramakrishna Movement and the Ramakrishna Order of Monks. His most famous pupil was Swami Vivekananda. He taught that the unity of God and the

117 Views

Question : Directions: XU289 is related to SP324 in a certain way based on the English alphabetical order. In the same way, QN361 is related to LI400. To which of the following is JG441 related, following the same logic?

Option 1: EB484

Option 2: FB464

Option 3: FB484

Option 4: EB464

Team Careers360 24th Jan, 2024

Correct Answer: EB484


Solution : Given:
XU289 is related to SP324 and QN361 is related to LI400.

Subtract 5 from the place value of each letter of XU289 and find the square root of the immediate next number, then add 1 to the result, and square the number after addition

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