Staff Selection Commission Combined Graduate Level Exam
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°
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°.
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 $6.25\%$
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'
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)
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
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:
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
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
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.
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
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
Question : When the International Olympic Day observed ?
Option 1: 16th August
Option 2: 2nd February
Option 3: 18th December
Option 4: 23rd June
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
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
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
Question : Directions: Select the set in which the numbers are related in the same way as the numbers of the given sets. (NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into their constituent digits. E.g. 13 – operations on 13 such as adding/subtracting/multiplying etc. to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed.) (31, 47, 35) (51, 67, 55)
Option 1: (33, 47, 35)
Option 2: (32, 39, 27)
Option 3: (13, 29, 17)
Option 4: (21, 36, 35)
Correct Answer: (13, 29, 17)
Solution : Given: (31, 47, 35); (51, 67, 55)
In the given set of numbers, add 16 to the first number to get the second number and subtract 12 from the second number to get the third number. (31, 47, 35)→31 + 16 = 47;
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
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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