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Staff Selection Commission Combined Graduate Level Exam

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Question : Humidity is measured by Which of the following?

Option 1: Lactometer

Option 2: Polarimeter

Option 3: Thermometer

Option 4: Hygrometer

Team Careers360 16th Jan, 2024

Correct Answer: Hygrometer


Solution : The correct option is the Hygrometer.

A Hygrometer is used to measure humidity. Hygrometers measure the amount of moisture in the air, which is crucial for weather, comfort, and natural processes. Relative humidity (RH), a measurement that compares the amount of water vapour in the

14 Views

Question : Directions: Select the figure from among the given options that can replace the question mark (?) in the following series.

Option 1:

Option 2:

Option 3:

Option 4:

Team Careers360 24th Jan, 2024

Correct Answer:


Solution : According to the given figures –
1. The figure inside the box rotates by 90° in the clockwise direction.
2. The letters present in each box are consecutive letters.
3. The position of the letters is shifting in the clockwise direction from one box to another.

19 Views

Question : As of April 2022, who among the following is the Chairman of the National Green Tribunal?

Option 1: Adarsh Kumar Goel

Option 2: Uday Umesh Lalit

Option 3: Anoop Kumar Mendiratta

Option 4: Vikram Nath

Team Careers360 12th Jan, 2024

Correct Answer: Adarsh Kumar Goel


Solution : Correct answer is Adarsh Kumar Goel

National green tribunal established in 2010,  NGT is a specialized judicial body for the environment cases in the country. NGT headquarter or the principal place of sitting of the Tribunal is at New Delhi 

In April 2022

22 Views

Question : The law of demand states that:

Option 1: if the price of a good increases, the demand for that good decreases

Option 2: if the price of a good increases, the demand for that good increases

Option 3: if the price of a good increases, the quantity demanded of that good decreases

Option 4: if the price of a good increases, the quantity demanded of that good increases

Team Careers360 17th Jan, 2024

Correct Answer: if the price of a good increases, the quantity demanded of that good decreases


Solution : The correct answer is if the price of a good increases, the quantity demanded of that good decreases.

According to the law of demand, there is an inverse connection between the

17 Views

Question : Select the most appropriate meaning of the given idiom.

Far and wide

Option 1: From the past

Option 2: In the future

Option 3: In all possible ways

Option 4: In all directions

Team Careers360 21st Jan, 2024

Correct Answer: In all directions


Solution : The correct choice is the fourth option.

The idiom far and wide is used to describe a broad or extensive area, indicating a considerable distance or range. It doesn't refer to time but rather to the spatial extent of something. In this

59 Views

Question : PQR is a triangle right-angled at Q and PQ : QR = 3 : 4. What is the value of $\sin P + \sin Q + \sin R?$

Option 1: $\frac{4}{5}$

Option 2: $\frac{3}{5}$

Option 3: $\frac{12}{5}$

Option 4: $\frac{2}{5}$

Team Careers360 12th Jan, 2024

Correct Answer: $\frac{12}{5}$


Solution :
Given: $\angle PQR = 90°$ and $PQ:QR = 3:4$
Let, $PQ = 3k$, $QR = 4k$.
As $PR$ is the hypotenuse, $PR = \sqrt{(3k^{2} + 4k^{2})}=5k$
$\sin P = \frac{QR}{PR} = \frac{4k}{5k}=\frac{4}{5}$
$\sin Q = \sin 90° = 1$
$\sin R = \frac{PQ}{PR} = \frac{3k}{5k}=\frac{3}{5}$

19 Views

Question : What is the value of S $=\frac{1}{1×3×5}+\frac{1}{1×4}+\frac{1}{3×5×7}+\frac{1}{4×7}+\frac{1}{5×7×9}+\frac{1}{7×10}+....$ Up to 20 terms, then what is the value of S?

Option 1: $\frac{6179}{15275}$

Option 2: $\frac{6070}{14973}$

Option 3: $\frac{7191}{15174}$

Option 4: $\frac{5183}{16423}$

Team Careers360 22nd Jan, 2024

Correct Answer: $\frac{6070}{14973}$


Solution : Given:
 $S=\frac{1}{1×3×5}+\frac{1}{1×4}+\frac{1}{3×5×7}+\frac{1}{4×7}+\frac{1}{5×7×9}+\frac{1}{7×10}+....$ Up to 20 terms.
Rewriting it like,
$\frac{1}{1×3×5}+\frac{1}{3×5×7}+\frac{1}{5×7×9}+...+\frac{1}{1×4}+\frac{1}{4×7}+\frac{1}{7×10}+...$Up to 20 terms.
$=\frac{1}{4}[\frac{1}{1×3}-\frac{1}{3×5}+\frac{1}{3×5}-\frac{1}{5×7}+\frac{1}{5×7}-\frac{1}{7×9}+...–\frac{1}{21×23}]+\frac{1}{3}[1-\frac{1}{4}+\frac{1}{4}-\frac{1}{7}+\frac{1}{7}-\frac{1}{10}+...-\frac{1}{31}]$
It will cancel out most of the terms except the first and last term.
$=\frac{1}{4}[\frac{1}{1×3}-\frac{1}{21×23}]+\frac{1}{3}[1-\frac{1}{31}]$
$=\frac{40}{483}+\frac{10}{31}$
$=\frac{6070}{14973}$
Hence, the correct answer is $\frac{6070}{14973}$.

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