Staff Selection Commission Combined Graduate Level Exam
Question : What is the difference (in INR) between the interests on INR 50,000 for one year at 8% per annum compounded half-yearly and yearly?
Option 1: 80
Option 2: 100
Option 3: 70
Option 4: 50
Correct Answer: 80
Solution : Principal, $P = 50000$ Term, $n = 1$ year Rate, $R = 8$% When compounded half-yearly, Compound Interest, CI = $P(1+\frac{R}{200})^{2n}-P$ = $50000 × (1+\frac{8}{200})^2 - 50000$ = $50000 × (\frac{208}{200})^2 - 50000$ = $50000 × (\frac{26}{25})^2 - 50000$ = $50000 × \frac{676}{625} - 50000$
Question : The circumference of the base of a cylindrical vessel is 158.4 cm and its height is 1 m. How many litres of water can it hold (correct to one decimal place)? (Take $\left.x-\frac{22}{7}\right)$
Option 1: 186.4
Option 2: 200.8
Option 3: 198.2
Option 4: 199.6
Correct Answer: 199.6
Solution : Circumference of the circle of radius $r$ = $2\pi r$ ⇒ $2\pi r = 158.4\ \text{cm}$ ⇒ $r = 25.2\ \text{cm}$ Height of cylinder = 100 cm Volume of cylinder = $\pi r^2h$ = $\frac{22}{7} × 25.2 × 25.2 × 100$ = $199584\ \text{cm}^3$ The
Question : Which of the following ratios can be the ratio of the sides of a right-angled triangle?
Option 1: 9 : 6 : 3
Option 2: 13 : 12 : 5
Option 3: 7 : 6 : 5
Option 4: 5 : 3 : 2
Correct Answer: 13 : 12 : 5
Solution : By Pythagoras theorem, In a right-angled triangle, the sum of squares of the length of smaller sides = square of the length of the largest side. By trial and error, 92$\neq$62 + 32 72$\neq$62
Question : Directions: Three different positions of the same dice are shown. Find the number on the face opposite the face showing 1.
Option 1: 2
Option 2: 3
Option 3: 6
Option 4: 4
Correct Answer: 3
Solution : According to the dice rule, if two or three positions of the same dice are given with two common faces but in different orientations, then out of those two common faces the faces that are not common are opposite to each other. While considering Figures
Question : Directions: In this question, some equations are solved on the same basis as a certain system. On the same basis, find out the correct answer out of the four alternatives for the unsolved equation. If 4 + 3 = 25 and 8 + 4 = 80, then 3 + 2 = ?
Option 1: 15
Option 2: 10
Option 3: 13
Option 4: 12
Correct Answer: 13
Solution : Given: 4 + 3 = 25 and 8 + 4 = 80
Like, 4 + 3 = 25→42 + 32 = 16 + 9 = 25 And, 8 + 4 = 80→82 + 42 = 64 + 16 = 80 Similarly,
Question : The UN Secretary - General holds office for a period of:
Option 1: 3 years
Option 2: 4 years
Option 3: 5 years
Option 4: 6 years
Correct Answer: 5 years
Solution : The correct option is - 5 Years
The Secretary-General's present appointment is for a five-year term, with an option for a second five-year term. According to Article 97 of the Charter, the General Assembly appoints the Secretary General on the Security Council's proposal.
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
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