Staff Selection Commission Combined Higher Secondary Level Exam
Question : Parts of the following sentence are given as options. Identify the part that contains a grammatical error. If there is no error, select 'No error'.
Once I run in / the Sonoran Desert in Arizona / after a huge rain event.
Option 1: Once I run in
Option 2: the Sonoran Desert in Arizona
Option 3: No error
Option 4: after a huge rain event.
Correct Answer: Once I run in
Solution : The error lies in the first option.
Explanation:
The error lies in the verb tense inconsistency. The correct past tense form should be used for the entire action. "Once I run in" contains a verb tense inconsistency. The use of "once"
Question : Directions: Each of the letters in the word CAREFUL are arranged in alphabetical order. How many letters are there in the English alphabetical series between the letter that is second from the left and the one that is fourth from the right in the new letter cluster thus formed?
Option 1: Four
Option 2: Three
Option 3: Six
Option 4: Two
Correct Answer: Two
Solution : Given: CAREFUL
First, arrange the letters of CAREFUL in alphabetical order – CAREFUL→ACEFLRU Now, find the second from the left and the fourth letter from the right – The second letter from the left is C and the fourth letter from the right is F.
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.
Globalisation is not a new (1)_______. Traders travelled vast distances in ancient times to buy commodities that were (2) ______and expensive for sale in their homelands. The Industrial Revolution brought (3)_________ in transportation and communication in the 19th century that eased trade across borders. The think tank, Peterson Institute for International Economics (PIIE), states globalisation (4)________after World War I and nations moved toward (5)________ as they launched import taxes to more closely guard their industries in the aftermath of the conflict.
Select the most appropriate option to fill in the blank number 5.
Option 1: protectionism
Option 2: integration
Option 3: liberalisation
Option 4: diversification
Correct Answer: protectionism
Solution : The correct choice is the first option.
The sentence talks about nations moving towards something after World War I as they launched import taxes to more closely guard their industries. The term that best fits the context is protectionism. It refers to the policy or
Question : If $a x+b y=1$ and $b x+a y=\frac{2 a b}{a^2+b^2}$, then the value of $x$ (in terms of $a$ and $b$) is:
Option 1: $\frac{2 b}{a^2+b^2}$
Option 2: $\frac{a}{a^2+b^2}$
Option 3: $\frac{b}{a^2+b^2}$
Option 4: $\frac{2 a}{a^2+b^2}$
Correct Answer: $\frac{a}{a^2+b^2}$
Solution : Given, $ax+by=1$ ....(1) And, $bx+ay=\frac{2ab}{a^2+b^2}$ ......(2) From $ax+by=1$, we get, ⇒ $y=\frac{1-ax}{b}$ Putting in (2), we get, $bx+a\times \frac{1-ax}{b}=\frac{2ab}{a^2+b^2}$ ⇒ $b^2x+a(1-ax)=\frac{2ab^2}{a^2+b^2}$ ⇒ $b^2x+a-a^2x=\frac{2ab^2}{a^2+b^2}$ ⇒ $(b^2-a^2)x+a=\frac{2ab^2}{a^2+b^2}$ ⇒ $(b^2-a^2)x=\frac{2ab^2}{a^2+b^2}-a$ ⇒ $(b^2-a^2)x=\frac{2ab^2-a(a^2+b^2)}{a^2+b^2}$ ⇒ $x=\frac{2ab^2-a^3-ab^2}{(a^2+b^2)(b^2-a^2)}$ ⇒ $x=\frac{ab^2-a^3}{(a^2+b^2)(b^2-a^2)}$ ⇒ $x=\frac{a(b^2-a^2)}{(a^2+b^2)(b^2-a^2)}$ $\therefore x=\frac{a}{a^2+b^2}$ Hence, the correct answer is $\frac{a}{a^2+b^2}$.
Question : The Sahara is located in which part of Africa?
Option 1: Eastern
Option 2: Western
Option 3: Northern
Option 4: Southern
Correct Answer: Northern
Solution : The correct answer is Northern.
The Sahara Desert is located in the northern part of Africa and spans over 10 countries: Algeria, Chad, Egypt, Libya, Mali, Mauritania, Morocco, Niger, Sudan, and Tunisia. It covers nearly 31% of the total land area of Africa. It
Question : If $x^2+ax+b$ is a perfect square, then which one of the following relations between $a$ and $b$ is true?
Option 1: $a^2=b$
Option 2: $a^2=4b$
Option 3: $b^2=4a$
Option 4: $b^2=a$
Correct Answer: $a^2=4b$
Solution : Given: $x^2+ax+b$ is a perfect square. So, $x^2+2×x×\frac{a}{2}+(\sqrt{b})^2$ Now, the above quadratic polynomial will be a perfect square only if the coefficient of $x$ is $\pm 2$ times the square root of the product of the coefficient of $x^2$ and constant as follows. $a=\pm 2
Question : Select the most appropriate meaning of the given idiom.
Play it by ear.
Option 1: Obey the rules blindly.
Option 2: Act as suggested.
Option 3: Discontinue impulsively.
Option 4: Perform without any rehearsals.
Correct Answer: Perform without any rehearsals.
Solution : The correct choice will be the fourth option.
Play it by ear: It means to do something without special preparation.
Following are some of the examples:
Question : In a solution of water and milk, the quantity of milk is double the quantity of water. To pass the quality standards, the solution must contain 90% milk in it. If the volume of the solution is ${v}$, then how much pure milk in litres is to be added to the solution to pass the quality standard?
Option 1: $\frac{4v}{3}$
Option 2: $\frac{3v}{4}$
Option 3: $\frac{7v}{4}$
Option 4: $\frac{7v}{3}$
Correct Answer: $\frac{7v}{3}$
Solution : Let the volume of water in the solution as $w$ and the volume of milk as $m$. The quantity of milk is double the quantity of water, $\therefore m = 2w$ The total volume of the solution is $v$, $⇒v = w + m =
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."
His voice shook with emotion (1) / and it was so funny to hear him (2) / that all we longed to laugh and to cry. (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 the sentence, "laugh" and "cry" are connected with the conjunction "and", so "to" should be used only once to make the sentence grammatically accurate as per parallelism.
Therefore, the correct sentence is: "His voice
Question : A sum of INR 12,000 amounts to INR 15,000 in 5 years at the rate of simple interest. What is the rate of interest per annum?
Option 1: 8%
Option 2: 7%
Option 3: 6%
Option 4: 5%
Correct Answer: 5%
Solution : Given: Principal = INR 12,000, Total amount = INR 15,000 Time = 5 years So, simple interest = 15000 – 12000 = 3000 We know, Simple interest = $\frac{\text{Principal × Rate × Time}}{100}$ ⇒ $3000=\frac{12000\times \text{Rate} \times 5}{100}$ ⇒ Rate $=\frac{3000×100}{12000\times 5}$ ⇒ Rate $=5\%$
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