Staff Selection Commission Combined Graduate Level Exam
Question : Personal disposable income (PDI) can be defined as ______.
Option 1: Personal Income (PI) + Personal tax payments + Non-tax payments
Option 2: Personal Income (PI) + Personal tax payments – Non-tax payments
Option 3: Personal Income (PI) – Personal tax payments – Non-tax payments
Option 4: Personal Income (PI) – Personal tax payments + Non-tax payments
Correct Answer: Personal Income (PI) – Personal tax payments – Non-tax payments
Solution : The correct answer is Personal Income (PI) - Personal tax payments - Non-tax payments.
Disposable income, also known as disposable personal income, refers to the money left over after income taxes are deducted for household consumption,
Question : The following chart shows the scores of employees in a company's annual performance. What is the percentage of Kartik's score out of the total score of all the employees?
Option 1: 23.14%
Option 2: 30%
Option 3: 22%
Option 4: 20%
Correct Answer: 20%
Solution : Kartik's marks = 80 Total marks = 80 + 90 + 75 + 70 + 85 = 400 Percentage required = $\frac{80}{400}$ × 100 = 20% Hence, the correct answer is 20%.
Question : Directions: A watch company produces four different products. The sale of these products in lakhs during 2005 and 2010 is shown in the following bar diagram. Study the graph and answer the question.
During the period 2005-2010, the minimum rate of increase in sales is in products of:
Option 1: Wristwatch
Option 2: Table clock
Option 3: Stopwatch
Option 4: Wall clock
Correct Answer: Wall clock
Solution : As per the graph, (i) Wristwatch The sales in 2010 = 28.3 lakhs The sales in 2005 = 21.3 lakhs Percentage increase = $\frac{28.3-21.3}{21.3}$ × 100 = 32.71% (ii) Table clock The sales in 2010 = 22.3 lakhs The sales in 2005 = 9.5
Question : Directions: In the following question, some parts of the sentence may have some errors. Find out which part of the sentence has an error and select the appropriate option. If the sentence is free from error, select "No Error".
I was first (1) / to reach the school (2) / today. (3) / No Error (4)
Option 1: (1)
Option 2: (2)
Option 3: (3)
Option 4: (4)
Correct Answer: (1)
Solution : The error lies in the first part of the sentence.
The sentence contains one grammatical error. The definite article the should be used before ordinal numbers and sequence numbers. The addition of the makes the sentence grammatically accurate and conveys the intended meaning of the
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
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