Staff Selection Commission Combined Higher Secondary Level Exam
Question : A shopkeeper marks his goods 35% above the cost price. He then allows some discount on it. If he makes a profit of 14%, then the rate of discount is:
Option 1: 17.77%
Option 2: 15.55%
Option 3: 16.66%
Option 4: 14.44%
Correct Answer: 15.55%
Solution : Let $100x$ be the cost price. Marked price = 35% above cost price = $135x$ Profit = 14% of cost price = $14x$ Selling price = Cost price + Profit = $100x+14x$ = $114x$ Amount discounted = Marked price – Selling price = $135x -
Question : _____________ is the income of the government, which arises out of the property left by the people without a legal heir.
Option 1: Escheat
Option 2: Moot
Option 3: Felony
Option 4: Lien
Correct Answer: Escheat
Solution : The correct answer is Escheat.
The term "escheat," which describes the government's claim over a deceased person's property in the absence of a will or legal heir, refers to non-tax revenue. This is one way the government makes money. When assets remain unclaimed for
Question : "Pay Roll Automation for Disbursement of Monthly Allowances (PADMA)" was launched in June 2022 by Ministry of_____________.
Option 1: Civil Aviation
Option 2: Finance
Option 3: Defence
Option 4: Culture
Correct Answer: Defence
Solution : The correct answer is Defence.
"The Indian Coast Guard's automated Pay & Allowances module, Pay Roll Automation for Disbursement of Monthly Allowances (PADMA), was officially launched by Shri Rajnish Kumar, Controller General of Defence Accounts (CGDA), Ministry of Defence.
The PADMA platform, which utilises cutting-edge
Question : The radius of a circle is 10 cm. What will be the angle made by a chord of length 20 cm on the circumference of this circle?
Option 1: 90°
Option 2: 120°
Option 3: 180°
Option 4: 135°
Correct Answer: 90°
Solution : Let the radius of the circle be R cm. According to the concept, R = 10 cm So, diameter = 2 × R = 2 × 10 = 20 cm According to the question, The chord has a length of 20 cm. A diameter divides
Question : Directions: The following chart represents Demand and Production for 5 companies A, B, C, D, and E. Based on the graph answer the questions.
If company A desires to meet the demand by purchasing surplus production of the company, then the most suitable company is:
Option 1: C
Option 2: D
Option 3: E
Option 4: B
Correct Answer: D
Solution : As per the graph, The difference between the demand and production of company A = 3000 – 1500 = 1500 Company D will fulfil Company A's demand for 1500 more units due to having sufficient production. The difference between the demand and production of company
Question : Direction: The following question is based on the table given below which shows the production of the number of scooters by a company during the first half of 1992. Study the table and answer the question.
Production of scooters by a company during the first half of 1992
Month
Type
In which two months, was the number of scooters produced by the company the same?
Option 1: January and February
Option 2: April and May
Option 3: January and March
Option 4: January and May
Correct Answer: April and May
Solution : As per the given table, The company produced the same number of scooters in April and May. In both these months, the total production was 110 scooters. Hence, the correct answer is 'April and May'.
Question : Directions: In the following question, four number pairs are given. In each pair, the number on the left side of (–) is related to the number on the right side of (–) with some Logic/Rule/Relation. Three pairs are similar based on the same Logic/Rule/Relation. Select the odd one out from the given alternatives. (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.)
Option 1: 19 – 364
Option 2: 21 – 444
Option 3: 17 – 292
Option 4: 13 – 174
Correct Answer: 13 – 174
Solution : Let's check each option – First option: (19 – 364); (19)2 + 3 = 361 + 3 = 364 Second option: (21 – 444); (21)2 + 3 = 441 + 3 = 444 Third option: (17 – 292); (17)2 +
Question : If $x+\frac{1}{x}=2$, then find the value of $x^{1823}+\frac{1}{x^{1929}}$.
Option 1: 2
Option 2: 1
Option 3: 0
Option 4: –1
Correct Answer: 2
Solution : According to the question, $x+\frac{1}{x}=2$ ⇒ $\frac{x^2+1}{x} = 2$ ⇒ $x^2+1=2x$ ⇒ $x^2-2x+1=0$ ⇒ $(x-1)^2=0$ ⇒ $x=1$ $\therefore x^{1823}+\frac{1}{x^{1929}} = 1+1 = 2$ Hence, the correct answer is 2.
Question : Which of the following is the correct order of Friction?
Option 1: Static > Rolling > Sliding
Option 2: Rolling > Static > Sliding
Option 3: Static > Sliding > Rolling
Option 4: Sliding > Static > Rolling
Correct Answer: Static > Sliding > Rolling
Solution : The correct answer is Static > Sliding > Rolling.
The correct order of a Frictional Force is static > sliding > rolling. Friction is the resistance offered by the surfaces in contact with each other when they move past each
Question : The volume of a solid sphere is $4500 \pi \;cm^3$. The surface area of the solid sphere is:
Option 1: $700 \pi\; \text{cm}^2$
Option 2: $850 \pi\; \text{cm}^2$
Option 3: $900 \pi\; \text{cm}^2$
Option 4: $810 \pi\; \text{cm}^2$
Correct Answer: $900 \pi\; \text{cm}^2$
Solution : Volume of a solid sphere = $4500 \pi$ cm$^3$ $⇒\frac{4}{3}×\pi×r^3$ = $4500 \pi$ cm$^3$ $⇒r^3$ = $\frac{4500×3}{4}$ = 3375 $\therefore r$ = 15 cm The Surface area of the solid sphere = $4\pi r^2$ = 4 × $\pi$ × 15$^2$ cm$^2$ = 900$
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