Staff Selection Commission Combined Higher Secondary Level Exam
Question : Directions: In the given question, a sentence is given with a blank to be filled in with an appropriate word. Four alternatives are suggested for each question. Choose the correct alternative out of the four alternatives.
Due to heavy rains, water had ______ in the low-lying areas.
Option 1: gathered
Option 2: stagnated
Option 3: assembled
Option 4: entered
Correct Answer: stagnated
Solution : The correct choice is the second option.
Stagnated means a situation where water or air ceases to move or flow and gathers in a space. "Gather" is also not incorrect, but "stagnated" is used in the context of water or the atmosphere, and thus
Question : For the triangle $PQR$, find the equation of altitude $PS$, if the co-ordinates of $P, Q, R$ are (1, 2), (2, –1), and (0, 5), respectively.
Option 1: $x–3y=–7$
Option 2: $x+3y=–5$
Option 3: $x–3y=–5$
Option 4: $x+3y=–7$
Correct Answer: $x–3y=–5$
Solution : Given: Co-ordinates of $P, Q, R$ are (1, 2), (2, –1), and (0, 5). Slope of the line $QR=\frac{y_2–y_1}{x_2–x_1}$ ⇒ $\frac{5–(–1)}{0–2}=\frac{6}{–2}=–3$ $PS$ is $\perp $ to $QR$. Let the slope of line $PS=m$ ⇒ $m×–3=–1$ ⇒ $m=\frac{1}{3}$ The equation of the line with slope $m$
Question : Directions: Which of the following four options will replace the question mark (?) in the following series? 9, 45, ?, 540, 1080
Option 1: 180
Option 2: 240
Option 3: 300
Option 4: 360
Correct Answer: 180
Solution : Given: 9, 45, ?, 540, 1080
Multiply the numbers starting from 5 in decreasing order – 9 × 5 = 45; 45 × 4 = 180; 180 × 3 = 540; 540 × 2 = 1080
So, the missing number is 180. Hence, the first
Question : Manoj bought two TVs for Rs. 2280. He sold one at a loss of 20% and the other at a profit of 10%. If each TV was sold for the same price, then what is the cost price of the TV that was sold at a loss?
Option 1: Rs. 1380
Option 2: Rs. 1320
Option 3: Rs. 1050
Option 4: Rs. 1440
Correct Answer: Rs. 1320
Solution : Let the cost price of the TV sold at a loss as L and the cost price of the TV sold at a profit as P. Given that Manoj bought two TVs for Rs. 2280. $⇒L + P = 2280$ ____(1) He sold the
Question : Which of the following statements are correct about Directive Principles of State Policy of the Indian Constitution? A) They are negative in nature. B) They have moral and political sanctions. C) They promote the welfare of the rich. D) They are positive in nature.
Option 1: C and D
Option 2: A and B
Option 3: A and C
Option 4: B and D
Correct Answer: B and D
Solution : The correct option is B and D.
Directive Principles of State Policy offer moral and political guidance to government policies. Although not legally enforceable, they carry moral and political weight. These principles are positive, directing the state to pursue social and economic
Question : Directions: In the following question, select the related number from the given alternatives. 17 : 102 :: 23 : ?
Option 1: 138
Option 2: 216
Option 3: 112
Option 4: 413
Correct Answer: 138
Solution : Given: 17 : 102 :: 23 : ?
Like, 17 : 102→17 × 6 = 102 Similarly, for 23 : ?→23 × 6 = 138
So, 23 is related to 138. Hence, the first option is correct.
Question : Directions: In the following question, some parts of the sentence may have some errors. Find out which part of the sentence has an error and select the appropriate option. If the sentence is free from error, select "No Error".
The shifting task is almost done, (1) / only the furnitures (2) / have to be delivered. (3) / No Error (4)
Option 1: (1)
Option 2: (2)
Option 3: (3)
Option 4: (4)
Correct Answer: (2)
Solution : The error lies in the second option.
''Furnitures'' should be replaced with ''furniture'' to convey the intended meaning that only the furniture is left for delivery. ''Furniture'' is an uncountable noun that is used to denote both singular and plural forms. ''Have'' is thus replaced
Question : Which part of the human brain is responsible for walking in a straight line?
Option 1: Medulla
Option 2: Cerebrum
Option 3: Pons
Option 4: Cerebellum
Correct Answer: Cerebellum
Solution : The correct answer is the Cerebellum.
The cerebellum is a major part of the brain located at the back of the skull, beneath the occipital lobes. It plays a crucial role in coordinating voluntary movements, maintaining posture, and regulating balance. Additionally, the cerebellum contributes
Question : On selling a table for Rs. 210 and Rs. 420 there will be a loss of $L_1 \%$ and $L_2 \%$ respectively. If $L_1-L_2=7$, then what is the cost price of the table:
Option 1: Rs. 5,000
Option 2: Rs. 3,000
Option 3: Rs. 7,000
Option 4: Rs. 4,000
Correct Answer: Rs. 3,000
Solution : Given: $SP_1=210$ $SP_2=420$ Here, the cost price is denoted by CP and the selling price is denoted by SP. Difference between Selling Prices = 420 – 210 = 210 If there is a loss and $L_1-L_2=7$ Then, 7% of cost price (Loss) = Difference
Question : What is the fourth proportional to 24, 120, and 22?
Option 1: 110
Option 2: 120
Option 3: 100
Option 4: 90
Correct Answer: 110
Solution : The fourth proportion to 24, 120, and 22 is found using the formula. If $a:b = c:d$, then $d = \frac{b×c}{a}$ We have, Let $a = 24, b = 120$, and $c = 22$ $d = \frac{120×22}{24}$ $\therefore d$ = 110 Hence, the correct answer
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