Staff Selection Commission Combined Higher Secondary Level Exam
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
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.
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
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 =
Question : Comprehension: In the following passage, some words have been deleted. Read the passage carefully and select the most appropriate option to fill in each blank. Upgrading the higher education sector especially in terms of patents filed and cutting-edge research output is (1)______ in improving India’s global ranking. Our sustainable (2)______ development depends on human resources. A quality higher education base is essential to reap the full benefits of our demographic dividend. In higher education, the strategies of the 12th plan (3)______ on technical education, distance learning, quality research, infrastructure, faculty, and curriculum content. (4)______ efforts of the government departments and the private sector are needed to (5)______ the plan’s educational goals. Select the most appropriate option to fill in blank number 2.
Option 1: social
Option 2: economic
Option 3: psychological
Option 4: political
Correct Answer: economic
Solution : The correct answer is the second option.
Explanation: Economic here refers to the development that pertains to the financial and material aspects of a society or a nation. In the context of the passage, it emphasises that sustainable development depends on economic resources and growth.
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
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
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
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
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
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
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
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
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.
Correct Answer: Anything from the past that isn't significant or important anymore.
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
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
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
Question : Directions: Select the triad in which the numbers are related in the same way as the numbers of the following triads. (NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into their constituent digits. E.g. 13 – operations 13 such as adding/subtracting/multiplying etc. to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed.) (4 – 5 – 14); (7 – 8 – 20)
Option 1: (8 – 7 – 45)
Option 2: (11 – 13 – 77)
Option 3: (9 – 12 – 26)
Option 4: (5 – 9 – 18)
Correct Answer: (9 – 12 – 26)
Solution : Given: (4 – 5 – 14); (7 – 8 – 20)
Here, (4 – 5 – 14)→(4 + 5) + 5 = 9 + 5 = 14 (7 – 8 – 20)→(7 + 8) + 5 = 15 + 5 =
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