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Staff Selection Commission Combined Higher Secondary Level Exam

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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.

Team Careers360 14th Jan, 2024

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"

46 Views

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

Team Careers360 9th Jan, 2024

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.

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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: $\frac{2 a}{a^2+b^2}$

Team Careers360 13th Jan, 2024

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 $\frac{a}{a^2+b^2}$.

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Question : The Sahara is located in which part of Africa?

Option 1: Eastern

Option 2: Western

Option 3: Northern

Option 4: Southern

Team Careers360 12th Jan, 2024

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

16 Views

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: $b^2=a$

Team Careers360 12th Jan, 2024

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

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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.

Team Careers360 14th Jan, 2024

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:

  • I don't know exactly what I'm going to do this weekend; I'm going to
9 Views

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)

Team Careers360 11th Jan, 2024

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

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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%

Team Careers360 21st Jan, 2024

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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