Staff Selection Commission Combined Graduate Level Exam
Question : Directions: A statement is given followed by two inferences I and II. You have to consider the statement to be true even if it seems to be at variance with commonly known facts. You have to decide which of the given inferences, if any, follow from the given statement. Statement: Extensive use of pesticides in agricultural production contaminates soil and water, remains in the crops, and finally enters the food chain, thereby posing a threat to human beings. Inferences: I. Excessive use of pesticides in agricultural production is not good for people. II. Excessive use of pesticides in agricultural production can have a bad effect on water.
Option 1: If only II follows
Option 2: If neither I nor II follows
Option 3: If only I follows
Option 4: If both I and II follow
Correct Answer: If both I and II follow
Solution : Given: Statement: Extensive use of pesticides in agricultural production contaminates soil and water, remains in the crops, and finally enters the food chain, thereby posing a threat to human beings.
Inferences: I. Excessive use of pesticides in agricultural production is
Question : The value of 97 × 103 is _________.
Option 1: 7999
Option 2: 9991
Option 3: 8991
Option 4: 9981
Correct Answer: 9991
Solution : 97 × 103 = (100 - 3) × (100 + 3) = 1002 - 32 = 10000 - 9 = 9991 Hence, the correct answer is 9991.
Question : Evaluate the following: $\cos \left(36^{\circ}+A\right) \cdot \cos \left(36^{\circ}-A\right)+\cos \left(54^{\circ}+A\right) \cdot \cos \left(54^{\circ}-A\right)$
Option 1: $\sin 2A$
Option 2: $\cos A$
Option 3: $\sin A$
Option 4: $\cos 2A$
Correct Answer: $\cos 2A$
Solution : $\cos (36^{\circ}+A). \cos (36^{\circ}-A)+\cos (54^{\circ}+A) .\cos (54^{\circ}-A)$ = $\cos (36^{\circ}+A) . \cos (36^{\circ}-A)+\sin [90^{\circ}-(54^{\circ}+A)] . \sin [90^{\circ}-(54^{\circ}-A )]$ = $\cos (36^{\circ}+A) \cdot \cos (36^{\circ}-A)+\sin (36^{\circ}-A) \cdot \sin (36^{\circ}+A)$ = $\cos (36^{\circ}+A-36^{\circ}+A )$ [$\because \cos(A- B) =\sin A.\sin B +\cos A. \cos B$] = $\cos
Question : Directions: Select the correct mirror image of the given combination when the mirror is placed at PQ as shown below.
Option 1:
Option 2:
Option 3:
Option 4:
Correct Answer:
Solution : As per the mirror image properties, closer things appear closer to the mirror in the reflection. So, according to the above property and the information provided, the mirror is placed on the right side of the figure (on line PQ). So, the left side of the
Question : Which country celebrates one of the famous festivals known as Paro Tschechu?
Option 1: Japan
Option 2: Bhutan
Option 3: Thailand
Option 4: Burma
Correct Answer: Bhutan
Solution : The correct option is Bhutan.
Bhutan observes Paro Tschechu, a well-known celebration. Including mask dances, traditional music, and religious procedures, Paro Tschechu is one of Bhutan's most significant and colourful religious celebrations. In Bhutan, it is a major religious and cultural event that is frequently
Question : Directions: Select the option figure in which the given figure is embedded (rotation is NOT allowed).
Solution : Since the rotation of the figure is not allowed, we will check where the question figure can exactly fit itself in the given option figures.
From the above, it is clear that the given question figure is embedded in the first option figure. Hence, the first
Question : Select the option that expresses the given sentence in passive voice.
Do not touch any items displayed on glass shelves.
Option 1: Let any items displayed on glass shelves be touched.
Option 2: No items displayed on glass shelves should be touched.
Option 3: Any items displayed on glass shelves will not be touched.
Option 4: Any items displayed on glass shelves not be touched.
Correct Answer: No items displayed on glass shelves should be touched.
Solution : The correct structure is the second option.
Explanation: Passive voice is the voice in which the object experiences an action rather than the person who performs the action. Hence, the object in the active sentence becomes
Question : Directions: Dinesh travels from point A, 8 km eastward towards B, turns right and walks 12 km to C, turns again right and walks 4 km to point D, again turns right and travels 8 km to E. From E, he turns left and walks to F, 4 km. Now how far is he from his starting point?
Option 1: 4 km
Option 2: 6 km
Option 3: 8 km
Option 4: 12 km
Correct Answer: 4 km
Solution : Firstly, we will draw the diagram as per the given instructions – Now, we have to find the distance between the starting point and the endpoint.
In the given figure, A is the starting point and F is the finishing point. So, AF is
Question : If $(x+\frac{1}{x})^{2}=3$, then the value of $(x^{3}+\frac{1}{x^{3}})$ is:
Option 1: 0
Option 2: 1
Option 3: 2
Option 4: –1
Correct Answer: 0
Solution : Given: $(x+\frac{1}{x})^{2}=3$, Taking square root on both sides, we get $(x+\frac{1}{x})=\sqrt{3}$ Now, Cubing both sides we get $(x+\frac{1}{x})^3=(\sqrt{3})^3$ ⇒ $x^3+\frac{1}{x^3}+3×x×\frac{1}{x}(x+\frac{1}{x})=(3\sqrt{3})$ ⇒ $x^3+\frac{1}{x^3}=3\sqrt{3}–3(x+\frac{1}{x})$ $\because x+\frac{1}{x}=\sqrt{3}$ Thus, $x^3+\frac{1}{x^3}=3\sqrt{3}–3\sqrt{3} = 0$ Hence, the correct answer is 0.
Question : Directions: Select the option that is related to the fifth number in the same way as the second number is related to the first number and the fourth number is related to the third number. 98 : 7 :: 162 : 9 :: 242 : ?
Option 1: 11
Option 2: 12
Option 3: 14
Option 4: 13
Correct Answer: 11
Solution : Given: 98 : 7 :: 162 : 9 :: 242 : ?
Like, (7)2 × 2 = 49 × 2 = 98 (9)2 × 2 = 81 × 2 = 162 Similarly, (?)2 × 2 = 242 ⇒ (?)2 = 242
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