Staff Selection Commission Combined Higher Secondary Level Exam
Question : Directions: Select the option in which the numbers share the same relationship in the set as that shared by the numbers in the given set. (NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into their constituent digits. E.g.13 - operations on 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.) (14, 17, 970) (15, 23, 1508)
Option 1: (17, 24, 1730)
Option 2: (16, 22, 1580)
Option 3: (18, 32, 2686)
Option 4: (19, 31, 2642)
Correct Answer: (17, 24, 1730)
Solution : Given: (14, 17, 970); (15, 23, 1508) The pattern is as follows – (14, 17, 970)→{(14)2 + (17)2} × 2 = {196 + 289} × 2 = 485 × 2 = 970 (15, 23, 1508)→{(15)2 + (23)2}
Question : If $x+\frac{1}{x}=2$, then find the value of $x^5+\frac{1}{x^5}$.
Option 1: 1
Option 2: 3
Option 3: 4
Option 4: 2
Correct Answer: 2
Solution : $x+\frac{1}{x}=2$ $⇒\frac{x^2+1}{x} = 2$ $⇒x^2+1 = 2x$ $⇒x^2+1-2x = 0$ $⇒(x-1)^2 = 0$ $⇒x-1 = 0$ $⇒x =1$ $\therefore x^5+\frac{1}{x^5} = 1+1 = 2$ Hence, the correct answer is 2.
Question : What type of products ,does CACP recommend minimum support price for?
Option 1: industrial products
Option 2: Agricultural products
Option 3: pharmaceutical products
Option 4: None of the above
Correct Answer: Agricultural products
Solution : The correct option is Agricultural products.
The Commission for Agricultural Costs and Prices (CACP) operates as an independent entity within India's Ministry of Agriculture and Farmers Welfare, tasked with the crucial role of proposing minimum support prices (MSPs) for a range of vital agricultural
Question : As of 2015, To become a Judge of the High Court one must be the practising advocate of the High Court for at least:
Option 1: 20 years
Option 2: 5 years
Option 3: 10 years
Option 4: 15 years
Correct Answer: 10 years
Solution : The correct answer is 10 years.
To be eligible to serve as a judge in the High Court, a person must be an Indian citizen, have held a judicial position for at least five years, or at the very least, have worked as
Question : As per 2011 census ,among the following State ,which state has the lowest child- sex ratio?
Option 1: Chhattisgarh
Option 2: Punjab
Option 3: Kerala
Option 4: Haryana
Correct Answer: Haryana
Solution : The correct answer is Haryana.
As per the 2011 census of India, Harayan has the least child sex ratio among all states. There are only 834 female child per thousand male children. Child sex ratio is a demographic metric which shows the number of female
Question : The sum of the two numbers is 37 and the difference between their squares is 185, then the difference between the two numbers is:
Option 1: 10
Option 2: 4
Option 3: 5
Option 4: 3
Correct Answer: 5
Solution : Let the two numbers be X and Y. Given: X + Y = 37 and X2 – Y2 = 185 According to the question X2 – Y2 = 185 ⇒ (X + Y)(X – Y) = 185 ⇒ 37(X – Y)
Question : In $\triangle ABC$, the internal bisectors of $\angle ABC$ and $\angle ACB$ meet at $I$ and $\angle BAC=50°$. The measure of $\angle BIC$ is:
Option 1: $105°$
Option 2: $115°$
Option 3: $125°$
Option 4: $130°$
Correct Answer: $115°$
Solution : Given: In $\triangle ABC$, the internal bisector of $\angle ABC$ and $\angle ACB$ meet at $I$ and $\angle BAC=50°$. $\therefore \angle ABC+\angle ACB=180°-50°$ $⇒ \angle ABC+\angle ACB=130°$ In $\triangle BIC$, $\angle IBC+\angle BIC +\angle ICB =180°$ $I$ is the internal bisector of $\angle ABC$ and
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'.
My younger sister (3) / is much smarter (2) / than me. (3) / No Error (4)
Option 1: (1)
Option 2: (2)
Option 3: (3)
Option 4: (4)
Correct Answer: (3)
Solution : The error lies in the third part of the sentence.
In this case, "me" should be replaced with "I," as the subject needs to be compared with the subjective pronoun.
Therefore, the correct sentence is: "My younger sister is much smarter than I."
Question : Choose the word that can substitute the given group of words.
Exaggerated claims, not meant to be taken seriously.
Option 1: Hyperpyrexia
Option 2: Hyperbole
Option 3: Hypergamy
Option 4: Hyperreal
Correct Answer: Hyperbole
Solution : The correct choice is the second option.
Explanation:
In the context of exaggerated claims not meant to be taken seriously, the term hyperbole is the most fitting. Hyperbole is a figure of speech characterised by exaggerated statements or claims that are not intended to be
Question : The fourth proportion of numbers 8, 20 and 15 is:
Option 1: 37.5
Option 2: 10
Option 3: 10.6
Option 4: 200
Correct Answer: 37.5
Solution : The fourth proportion of numbers 8, 20 and 15 = $\frac{20×15}{8}$ = $\frac{75}{2}$ = 37.5 Hence, the correct answer is 37.5.
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