Staff Selection Commission Combined Graduate Level Exam
Question : Directions: If A × B means that A is the brother of B, A ÷ B means that A is the sister of B, and A + B means that A is the father of B, then which of the following expressions shows that P is the sister of R?
Option 1: P + Q × R
Option 2: P ÷ Q × R
Option 3: P × Q ÷ R
Option 4: P ÷ Q + R
Correct Answer: P ÷ Q × R
Solution : Let's check the given options – First option: P + Q × R According to the given expression, the family tree will be as follows –
Here, the quadrilateral represents the male, and the circular figure represents the female in the
Question : Directions: In the following question, some parts of the sentences have errors and some are correct. Find out which part of a sentence has an error. The number of that part is the answer. If a sentence is free from error, your answer is "No Error".
Someone, they don't know (1) / who, knocked at (2) / their door in midnight. (3) / No Error (4)
Option 1: (1)
Option 2: (2)
Option 3: (3)
Option 4: (4)
Correct Answer: (3)
Solution : The correct choice is the third option.
The error in the original sentence was the use of "in midnight", which should be corrected to "at midnight" to indicate a specific time.
"At" is the preposition commonly used to denote a specific time, including midnight. So,
Question :
Magnifera Indica is the scientific name of________.
Option 1:
Guava
Option 2:
Mango
Option 3: Amla
Option 4: Jackfruit
Correct Answer:
Solution : The correct option is Mango
In the scientific name Mangifera indica, for example, Magnifera is the genus name and Indica is the species name for mango. This naming system guarantees that various species are identified and communicated clearly and consistently across languages and areas.
Question : Directions: A paper is folded and cut as shown below. How will it appear when unfolded?
Option 3:
Option 4:
Solution : When the given folded paper is unfolded, it will look like –
Hence, the first option is correct.
Question : Directions: Three of the following four triads are alike in a certain way as they are formed by performing the same mathematical operations among themselves and thus form a group. Which triad does NOT belong to that group?
Option 1: 24 : 25 : 5
Option 2: 35 : 36 : 6
Option 3: 8 : 15 : 3
Option 4: 3 : 10 : 2
Correct Answer: 35 : 36 : 6
Solution : Let's check the given options – First option: 24 : 25 : 5→(5)2 – 1 = 25 – 1 = 24; 5 × 5 = 25 Second option: 35 : 36 : 6→(6)2 – 1 = 36 – 1
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)
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?
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.
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