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Staff Selection Commission Combined Higher Secondary Level Exam

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Question : If the sides of a right-angled triangle are three consecutive integers, then the length of the smallest side is

Option 1: 3 units

Option 2: 2 units

Option 3: 4 units

Option 4: 5 units

Team Careers360 25th Jan, 2024

Correct Answer: 3 units


Solution : Let one side of a right-angled triangle be $x$.
Shortest side = $x-1$
Longest side = $x +1$
Since the three sides form a right-angled triangle.
$(x+1)^2=(x-1)^2+x^2$
⇒ $x^2+1+2x=x^2+1-2x+x^2$ 
⇒ $x^2=4x$
⇒$x=4$
Thus, shortest side = $x-1=4-1=3$
Hence, the correct answer is 3 units.

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Question : Directions: What should come in place of the question mark (?) in the given series?
5, 11, 17, ?, 29, 35

Option 1: 23

Option 2: 22

Option 3: 24

Option 4: 25

Team Careers360 24th Jan, 2024

Correct Answer: 23


Solution : Given:
5, 11, 17, ?, 29, 35

Add 6 to each term to get the next term of the series –
5 + 6 = 11; 11 + 6 = 17; 17 + 6 = 23; 23 + 6 = 29; 29 + 6 =

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Question : Two medians DM and EN of $\triangle$DEF intersect each other at O at right angles. If EF = 20 cm and EN = 12 cm, then what is the length of DM?

Option 1: 20 cm

Option 2: 12 cm

Option 3: 18 cm

Option 4: 15 cm

Team Careers360 13th Jan, 2024

Correct Answer: 18 cm


Solution :
In $\triangle$DEF, EN is the median.
⇒ EN : GN = 2 : 1
⇒ EN = 12 cm
So, EG = $\frac{2}{3}$ × 12 = 8 cm and GN = $\frac{1}{3}$ × 12 = 4 cm
Two medians DM and EN of $\triangle$DEF

28 Views

Question : Select the option that can be used as a one-word substitute for the given group of words.

A person who lives a secluded or solitary life, often for religious reasons.

Option 1: Extrovert

Option 2: Chauvinist

Option 3: Monk

Option 4: Hypochondriac

Team Careers360 25th Jan, 2024

Correct Answer: Monk


Solution : The correct choice is the third option.

A "monk" is a person who lives a secluded or solitary life, often for religious reasons. Monks typically withdraw from the world to devote themselves to their religious or spiritual practices in solitude.

The meanings of the

32 Views

Question : Directions: The bar graph provided below gives the data of the production of paper (in lakh tonnes) by three different companies X, Y and Z over the years. Study the bar chart and answer the following questions.

The average production for five years is maximum for which company?

Option 1: X and Z

Option 2: X

Option 3: Z

Option 4: Y

Team Careers360 6th Jan, 2024

Correct Answer: X and Z


Solution : From the given data:
Average production of company X = $\frac{30+45+25+50+40}{5}$ = $\frac{190}{5}$ = 38 (in lakh tonnes)
Average production of company Y = $\frac{25+35+35+40+50}{5}$ = $\frac{185}{5}$ = 37 (in lakh tonnes)
Average production of company Z = $\frac{35+40+45+35+35}{5}$ =$\frac{190}{5}$ = 38 (in

11 Views

Question : The Chief Minister of which state launched "Football for All" in the state to take the culture of football to the grassroots?

Option 1: Jharkhand

Option 2: Madhya Pradesh

Option 3: West Bengal

Option 4: Odisha

Team Careers360 17th Jan, 2024

Correct Answer: Odisha


Solution : The correct option is Odisha.

The Chief Minister of Odisha, Naveen Patnaik, launched "Football for All" in the state to take the culture of football to the grassroots. FIFA, in collaboration with Kalinga Institute of Technology (KIIT) and Kalinga Institute of Social Science (KISS), initiated

20 Views

Question : Select the most appropriate meaning of the given idiom.
Water under the bridge.

Option 1: To be very sick.

Option 2: Anything from the past that isn't significant or important anymore.

Option 3: A paranormal sense that allows you to communicate with the dead.

Option 4: Someone else who takes the blame.

Team Careers360 17th Jan, 2024

Correct Answer: Anything from the past that isn't significant or important anymore.


Solution : The correct answer is the second option.

The idiom "water under the bridge" conveys that something from the past, typically a past issue or disagreement, is no longer significant. It suggests that the matter has been

29 Views

Question : Directions: Each of the letters in the word NETWORK are arranged in alphabetical order. How many letters are there in the English alphabetical series between the letter which is fourth from the left and the one which is second from the right?

Option 1: 3

Option 2: 6

Option 3: 5

Option 4: 4

Team Careers360 9th Jan, 2024

Correct Answer: 4


Solution : Given:
NETWORK

First, arrange the letters of NETWORK in alphabetical order –
NETWORK → EKNORTW
Now, find the fourth letter from the left and the second letter from the right –
The fourth letter from the left is O and the second letter from the

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