Staff Selection Commission Combined Graduate Level Exam
Question : Direction: In the following question, two statements are given followed by four conclusions I, II, III, and IV. You have to consider the two statements to be true even if they seem to be at variance from commonly known facts. You have to decide which of the given conclusions, if any, follow from the given statements.
Statements
Some cars are buses.
All cars are caves.
Conclusions
I. Some caves are not buses.
II. Some caves are buses.
III. No cave is a bus.
IV. Some caves are cars.
Option 1: Only conclusion I follows
Option 2: Only conclusion II follows
Option 3: Only conclusion II and IV follow
Option 4: Only conclusion IV follows
Correct Answer: Only conclusion II and IV follow
Solution : Let's evaluate the conclusions based on the given statements:
Venn diagram
Now, let's consider each conclusion:
Question : What is formed when carbon dioxide is passed through lime water?
Option 1: Copper sulphate
Option 2: Calcium carbonate
Option 3: Magnesium oxide
Option 4: Baking soda
Correct Answer: Calcium carbonate
Solution : The correct option is Calcium carbonate.
The interaction between carbon dioxide and calcium hydroxide produces a white precipitate, calcium carbonate (CaCO3) when carbon dioxide is passed through lime water. This is used to detect the presence of carbon dioxide. The chemical
Question : Directions: Read the given statements and conclusions carefully. Assuming that the information given in the statements is true, even if it appears to be at variance with commonly known facts, decide which of the given conclusions logically follow(s) from the statements. Statements: All pens are plates. All plates are trays. Some trays are boxes. Conclusions: I. Some boxes are plates. II. Some trays are pens. III. Some boxes are pens. IV. No tray is a plate.
Option 1: Only conclusion II follows
Option 2: Only conclusion I follows
Option 3: Only conclusion III follows
Correct Answer: Only conclusion II follows
Solution : The possible Venn diagram, according to the given statements is as follows –
Let's analyse the conclusions – Conclusion (I): Some boxes are plates – From the Venn diagram, it is evident that there is no direct relation between boxes and plates.
Question : Which of the following can degrade detritus into simpler inorganic substances?
Option 1: Algae
Option 2: Phytoplankton
Option 3: Fungal enzymes
Option 4: Lichens
Correct Answer: Fungal enzymes
Solution : The correct answer is Fungal enzymes.
Fungal enzymes decompose detritus (dead organic matter) into simpler inorganic substances. Fungi are decomposers in ecosystems, and their enzymes help break down complex organic compounds in detritus into smaller molecules like simple sugars and other organic and
Question : If $a+b-c=20$ and $a^2+b^2+c^2=152$, find the value of $a^3+b^3-c^3+3abc$.
Option 1: 480
Option 2: 720
Option 3: 640
Option 4: 560
Correct Answer: 560
Solution : Given: $a+b-c=20$ and $a^2+b^2+c^2=152$ $ a+b-c = 20$ Squaring both sides, we get, ⇒ $a^2 + b^2+c^2 + 2ab-2bc-2ca = 400$ ⇒ $2(ab-bc-ca) = 400-152$ ⇒ $ab-bc-ca = 124$ Now to find, $a^3+b^3-c^3+3abc$ $= (a+b-c)(a^2+b^2+c^2-(ab-bc-ca))$ $= 20\times (152-124)$ $= 20\times 28 = 560$ Hence, the
Question : A dishonest merchant sells goods at a 12.5% loss on the cost price but uses 28 g weight instead of 36 g. What is his percentage profit or loss?
Option 1: 6.25% loss
Option 2: 12.5% gain
Option 3: 18.75% gain
Option 4: 10.5% loss
Correct Answer: 12.5% gain
Solution : Let the cost price of 1 gm be Rs. 1. The cost price of 28 gm = Rs. 28 The cost price of 36 gm = Rs. 36 Selling price after 12.5% loss on 36 gm packet = $\frac{100-12.5}{100}\times 36$ = Rs. 31.5 Here
Question : Directions: In the following question, select the related word from the given alternatives. Frog : Amphibian :: Lizard : ?
Option 1: Rodent
Option 2: Mammal
Option 3: Reptile
Option 4: Insect
Correct Answer: Reptile
Solution : Given: Frog : Amphibian :: Lizard : ?
A frog belongs to the category of amphibians. Similarly, a lizard belongs to the category of reptiles.
Hence, the third option is correct.
Question : Select the most appropriate synonym of the underlined word.
The internationally agreed Declaration of the Small Island Developing States (SIDS) Accelerated Modalities of Action, the so-called S.A.M.O.A Pathway, recognises that SIDS remains a special case for sustainable development in view of their unique and particular vulnerabilities.
Option 1: vast
Option 2: unsuitable
Option 3: rare
Option 4: imperishable
Correct Answer: imperishable
Solution : The most appropriate choice is the fourth option.
Explanation: Imperishable means not subject to decay or deterioration lasting indefinitely. In the context of sustainable development imperishable aligns with the idea of something that can be maintained over time, making it the most appropriate synonym for
Question : Direction: In the following question, which of the following interchange of signs would make the given equation correct?
(8 – 8) + 8 × 32 = 64
Option 1: ×, +, –
Option 2: –, ÷, +
Option 3: +, ÷, +
Option 4: +, ÷, ×
Correct Answer: +, ÷, ×
Solution : Given: (8 – 8) + 8 × 32 = 64
Let's check the options —
First option: ×, +, – On replacing → (8 × 8) + 8 – 32 = 64 = (8 × 8) + 8 – 32 = 64 +
Question : Directions: Three of the following four-letter clusters are alike in a certain way and one is different. Pick the odd one out.
Option 1: HMS
Option 2: AFZ
Option 3: KQP
Option 4: DIW
Correct Answer: KQP
Solution : Let's check the options – First option: HMS→S is the opposite letter of H; H + 5 = M Second option: AFZ→Z is the opposite letter of A; A + 5 = F Third option: KQP→P is the opposite letter of K; K + 6
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