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Staff Selection Commission Combined Graduate Level Exam

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Question : If $\tan (A+B)=\sqrt{3}$ and $\tan (A-B)=\frac{1}{\sqrt{3}}; 0°<(A+B)<90°; A > B$, then the values of $A$ and $B$ are respectively:

Option 1: 45° and 15°

Option 2: 15° and 45°

Option 3: 30° and 30°

Option 4: 60° and 30°

Team Careers360 13th Jan, 2024

Correct Answer: 45° and 15°


Solution : Given: $\tan (A+B)=\sqrt{3}$ and $\tan (A-B)=\frac{1}{\sqrt{3}}$
$\tan (A+B)=\sqrt{3}=\tan60°$
⇒ $A+B=60°$ .........................(1)
Also, $\tan (A-B)=\frac{1}{\sqrt{3}}=\tan30°$
⇒ $A-B=30°$ ............................(2)
Solving equations (1) and (2) we get,
$A=45°$ and $B=15°$
Hence, the correct answer is 45° and 15°.

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Question : If the radius of a right circular cylinder open at both ends is decreased by 25% and the height of the cylinder is increased by 25%, the curved surface area of the cylinder thus formed:

Option 1: remains unaltered

Option 2: is increased by $25\%$

Option 3: is increased by $6.25\%$

Option 4: is decreased by $6.25\%$

Team Careers360 19th Jan, 2024

Correct Answer: is decreased by $6.25\%$


Solution : The curved surface area of a right circular cylinder before the change, where $r$ is the radius and $h$ is the height $ = 2\pi rh$
The radius is decreased by $25\%$,
$r' = 0.75r$
The height is increased by $25\%$,
$h'

6 Views

Question : Directions: In the following question, some parts of the sentence have errors, and some are correct. Find out which part of the sentence has an error. The number of that part is the answer. If a sentence is error-free, your answer is "No Error".

I was surprised (1) / when the hostess smiled (2) / as if she saw me before. (3) / No Error (4)

Option 1: (1)

Option 2: (2)

Option 3: (3)

Option 4: (4)

Team Careers360 16th Jan, 2024

Correct Answer: (3)


Solution : The third option is the correct choice.

Explanation: The error is in the use of the verb "saw". When reporting an action in the past, the past perfect subjunctive tense is used to talk about hypothetical situations and past actions that occurred before other past

35 Views

Question : Directions: Which of the following cubes in the answer figure cannot be made based on the unfolded cube in the question?

Option 1:

Option 2:

Option 3:

Option 4:

Team Careers360 23rd Jan, 2024

Correct Answer:


Solution : Properties of a dice –
1. Opposite faces of a dice cannot appear or hide together. 
2. Sides of the opposite faces of a dice cannot touch each other.
Rules to find the opposite faces of a dice when two or more positions of the dice

13 Views

Question : Directions: P started walking from north to south. She turned right at a right angle and then again right at a right angle. In which direction was she ultimately walking?

Option 1: North

Option 2: East

Option 3: South

Option 4: West

Team Careers360 25th Jan, 2024

Correct Answer: North


Solution : Firstly, we will draw the direction and distance diagram according to the instructions –

Now, we have to find the direction in which P is moving.

So, P was facing toward the north direction. Hence, the first option is correct.

16 Views

Question : Which of the following is a perfect match ? 

Option 1: Coronary attack - vascular dilation

Option 2: Atherosclerosis - blockage of arteries

Option 3: Hypertension - low blood pressure

Option 4: Hypotension - heart attack

Team Careers360 12th Jan, 2024

Correct Answer: Atherosclerosis - blockage of arteries


Solution : The correct option is Atherosclerosis - blockage of arteries.

Atherosclerosis is a disease in which  fat, cholesterol and other substances  accumulates in the arteries. These substances has the potential to constrict the arteries and block blood flow. A blocked coronary artery

14 Views

Question : When the International Olympic Day observed ?

Option 1: 16th August

Option 2: 2nd February 

Option 3: 18th December

Option 4: 23rd June

Team Careers360 25th Jan, 2024

Correct Answer: 23rd June


Solution : The correct option is - 23rd June.

To mark the anniversary of the International Olympic Committee's inception in 1894, International Olympic Day is observed every year on June 23. Baron Pierre de Coubertin was the founder of the modern Olympic Games. It is being

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Question : Which bacterial strain developed from natural isolates by genetic manipulations can be used for treating oil spills?

Option 1: Pseudomonas

Option 2: Agrobacterium

Option 3: Clsotridium

Option 4: Nitrosomonas

Team Careers360 17th Jan, 2024

Correct Answer: Pseudomonas


Solution : The correct option is Pseudomonas.

Pseudomonas putida is a bacterial strain that has been produced through genetic modification and may be used to cure oil spills. Pseudomonas putida is a naturally occurring bacterial species that has been genetically altered to improve its capacity to breakdown

23 Views

Question : Directions: After arranging the given words according to dictionary order, which word will come in the third position?
1. Telescope
2. Telephone
3. Telegram
4. Telecast
5. Telepath

Option 1: Telepath

Option 2: Telegram

Option 3: Telephone

Option 4: Telecast

Team Careers360 22nd Jan, 2024

Correct Answer: Telepath


Solution : Given:
1. Telescope 2. Telephone 3. Telegram 4. Telecast 5. Telepath

Step 1: Compare the first, second, third, and fourth letters of each word. Since all the words start with the same letter T, e, l, and e, then move on to the next

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