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Staff Selection Commission Combined Higher Secondary Level Exam

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Question : If A = $\frac{1}{7}$ and B = $\frac{1}{8}$ and the average of A, B and C is $\frac{1}{13}$, then the value of C is:

Option 1: $-\frac{31}{728}$

Option 2: $-\frac{27}{728}$

Option 3: $-\frac{89}{728}$

Option 4: $-\frac{49}{728}$

Team Careers360 25th Jan, 2024

Correct Answer: $-\frac{27}{728}$


Solution : Given:
A = $\frac{1}{7}$ and B = $\frac{1}{8}$
The average of A, B, and C = $\frac{1}{13}$
Total of A, B, and C = $\frac{1}{13}×3=\frac{3}{13}$
C = $\frac{3}{13}-(\frac{1}{7}+\frac{1}{8})$
⇒ C = $\frac{3}{13}-\frac{15}{56}$
$\therefore$ C = $-\frac{27}{728}$
Hence, the correct answer is $-\frac{27}{728}$.

12 Views

Question : Which of the following is not a technique or a step to convert normal water to potable water?

Option 1: Filtration

Option 2: Bromination

Option 3: Boiling

Option 4: Chlorination

Team Careers360 24th Jan, 2024

Correct Answer: Bromination


Solution : The correct option is Bromination.

Bromination is not a common technique for converting normal water to potable water. It is primarily used as a disinfectant in swimming pools, spas and industrial water treatment processes. While bromine can eliminate certain contaminants and pathogens, it is

15 Views

Question : What is the value of $\frac{1+\sin A}{\cos ^2 A}$?

Option 1: $\frac{1}{1-\sin A}$

Option 2: $\frac{1}{1+\sin A}$

Option 3: $\frac{1}{1+\cos A}$

Option 4: $\frac{1}{1-\cos A}$

Team Careers360 22nd Jan, 2024

Correct Answer: $\frac{1}{1-\sin A}$


Solution : $\frac{1+\sin A}{\cos ^2 A}$
= $\frac{1+\sin A}{1-\sin^2 A}$
= $\frac{1+\sin A}{(1-\sin A)(1+\sin A)}$
= $\frac{1}{1-\sin A}$
Hence, the correct answer is $\frac{1}{1-\sin A}$.

11 Views

Question : Directions: Find the missing number from the given responses.

Option 1: 30

Option 2: 40

Option 3: 32

Option 4: 50

Team Careers360 23rd Jan, 2024

Correct Answer: 50


Solution : Here, the fourth number in each column is the sum of the squares of the first three numbers.

First column: 32 + 22 + 12 = 9 + 4 + 1 = 14
Second column: 42 + 32 + 2

14 Views

Question : Select the most appropriate SYNONYM of the given word.

Fervour

Option 1: Apathy

Option 2: Hatred

Option 3: Enthusiasm

Option 4: Disgust

Team Careers360 22nd Jan, 2024

Correct Answer: Enthusiasm


Solution : The correct choice is the third option.

Enthusiasm accurately describes the fervent or ardent feeling that the word fervour denotes. Both terms express a high level of intensity and eagerness.

The meanings of the other options are as follows:

  • Apathy means a lack of interest,
23 Views

Question : Find the part of the given sentence that has an error in it. If there is no error, choose 'No error'.

If you doesn't have a doctor, contact your public health authority.

Option 1: your public health authority.

Option 2: a doctor, contact

Option 3: No error

Option 4: If you doesn't have

Team Careers360 24th Jan, 2024

Correct Answer: If you doesn't have


Solution : The correct choice is the fourth option.

Explanation:

The verb form used in the sentence is incorrect. The correct verb form to be used with "you" is "do". Thus, doesn't should be replaced with don't to make the sentence grammatically accurate.

38 Views

Question : The fourth proportion of 1.4, 8.4, and 4.2 is:

Option 1: 2.8

Option 2: 0.7

Option 3: 25.2

Option 4: 6.4

Team Careers360 23rd Jan, 2024

Correct Answer: 25.2


Solution : Assume the fourth proportion be $x$
So, $\frac{1.4}{8.4}$ = $\frac{4.2}{x}$
⇒ $x$ = 8.4 × 3
⇒ $x$ = 25.2
Hence, the correct answer is 25.2.

24 Views

Question : Select the correct indirect form of the given sentence.

The student said to her, "I don't remember your name."

Option 1: The student said to her that I did not remember her name.

Option 2: The student said to her that he/she cannot remember her name.

Option 3: The student told her that he/she did not remember her name.

Option 4: The student told her that he/she do not remember her name.

Team Careers360 24th Jan, 2024

Correct Answer: The student told her that he/she did not remember her name.


Solution : The correct choice is the third option.

Indirect speech, also known as reported speech or indirect speech discourse, is a way of reporting what someone else has said without quoting their exact words.

The

5 Views

Question : A multilateral defence exercise named “Exercise Pitch Black 22” is hosted by ______.

Option 1: Japan

Option 2: India

Option 3: Australia

Option 4: South Korea

Team Careers360 22nd Jan, 2024

Correct Answer: Australia


Solution : The correct option is Australia.

"Exercise Pitch Black 22" is a biennial warfare exercise hosted by the Royal Australian Air Force at RAAF Bases Darwin and Tindal. It involves air forces from countries like Australia, Canada, France, Germany, India, Indonesia, Japan, South Korea, Malaysia,

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