Staff Selection Commission Combined Graduate Level Exam
Question : A sum of Rs. 3200, invested at 10% p.a. compounded quarterly, amounts to Rs. 3362. Compute the time.
Option 1: $\frac{1}{2}$ year
Option 2: $1$ year
Option 3: $2$ years
Option 4: $\frac{3}{4}$ year
Correct Answer: $\frac{1}{2}$ year
Solution : Given: Principal = Rs. 3200 Amount = Rs. 3362 Rate = 10% per annum = $\frac{10}{4}=\frac{5}{2}$ per quarter $\text{Compound interest + Principal}=\text{Principal}×(1+\frac{\text{Rate}}{100})^{\text{Time}}$ ⇒ $3362 = 3200×(1+\frac{5}{2×100})^n$ ⇒ $\frac{3362}{3200}=(\frac{41}{40})^n$ ⇒ $\frac{1681}{1600}=(\frac{41}{40})^n$ ∴ $(\frac{41}{40})^2=(\frac{41}{40})^n$ Comparing the powers, $n = 2$ quarters or $\frac{1}{2}$ year. Hence, the
Question : Refer to the following data table and answer the question.
What was the increase in the height of the child from the 10th Birthday to the 11th birthday?
Option 1: 15 cm
Option 2: 10 cm
Option 3: 5 cm
Option 4: 4 cm
Correct Answer: 5 cm
Solution : Refer to the table: The height of the child on 10th birthday = 145 cm The height of the child on 11th birthday = 150 cm The increase in the height of the child from the 10th birthday to the 11th Birthday = The
Question : Direction: In this question, a word is represented by only one set of numbers as given in any one of the alternatives. The sets of numbers given in the alternatives are represented by two classes of alphabets as in the two matrices, given below. The columns and rows of Matrix (I) are numbered from 0 to 4 and that of Matrix (II) are numbered from 5 to 9. A letter from these matrices can be represented first by its row and next by its column, e.g. 'A' can be represented by 04,12, etc., and 'N' can be represented by 57, 69, etc. Similarly, you have to identify the set for the word.
'ROAD'
Option 1: 67, 87, 23, 43
Option 2: 86, 75, 24, 33
Option 3: 79, 99, 41, 42
Option 4: 86, 56, 23, 33
Correct Answer: 86, 56, 23, 33
Solution : Given: ROAD
Number representations of each letter: R → 55, 86, 67, 98, 79 O → 75, 56, 87, 68, 99 A → 30, 41, 12, 23, 04 D → 10, 21, 02, 33, 44
First option: 67, 87, 23, 43
Question : The most distinguishing feature of oligopoly is
Option 1: Number of firm .
Option 2: Interdependence .
Option 3: Negligible influence on price .
Option 4: Price leadership .
Correct Answer: Number of firm .
Solution : The correct optin is number of firm.
The most distinguishing feature of oligopoly is that it is characterized by a small number of large firms or businesses dominating the market. Oligopoly stands out due to the concentration of market power among a
Question : The volume of a cone with a height equal to the radius and slant height of 5 cm is:
Option 1: $\frac{125 \pi}{12 \sqrt{3}} \mathrm{~cm}^3$
Option 2: $\frac{125 \pi}{6 \sqrt{3}} \mathrm{~cm}^3$
Option 3: $\frac{125 \pi}{12 \sqrt{2}} \mathrm{~cm}^3$
Option 4: $\frac{125 \pi}{6 \sqrt{2}} \mathrm{~cm}^3$
Correct Answer: $\frac{125 \pi}{6 \sqrt{2}} \mathrm{~cm}^3$
Solution : Given: A cone with a height equal to the radius and a slant height of 5 cm. Using Pythagoras theorem, we have, ⇒ $r^{2}+r^{2}=5^{2}$ ⇒ $2r^{2}=25$ ⇒ $r=\frac{5}{\sqrt{2}}$ Volume of the cone = $\frac{1}{3}\pi r^{2}h$ ---------(where $r=h$) Putting the values, we have,
Question : Directions: The second number in the given number pairs is obtained by performing certain mathematical operation(s) on the first number. The same operation(s) are followed in all the number pairs, except one. Find that odd number pair.
Option 1: (125, 91)
Option 2: (64, 61)
Option 3: (27, 37)
Option 4: (8, 20)
Correct Answer: (8, 20)
Solution : Let's check the options – First option: (125, 91)→(5)3 = 125; 5 + 1 = 6; (6)3 = 216; 216 – 125 = 91 Second option: (64, 61)→(4)3 = 64; 4 + 1 = 5; (5)3 = 125; 125 –
Question : Who among the following is a famous performer of the Kathakali classical dance?
Option 1: Pankaj Charan Das
Option 2: Sunanda Nayar
Option 3: Gopinath
Option 4: Raja Reddy
Correct Answer: Gopinath
Solution : The correct answer is Gopinath.
Guru Gopinath upheld the customary discipline that kept him in check while expanding the bounds of tradition. He played a significant role in transforming Kerala's well-known Kathakali dance theatre from obscurity to widespread acclaim. Kerala and other regions of southwest
Question : The garden inside the Taj Mahal is known as ____.
Option 1: Mughal Garden
Option 2: Taj Bageecha
Option 3: Taj Mahal Garden
Option 4: Mahal Bageecha
Correct Answer: Mughal Garden
Solution : The correct answer is the Mughal Garden.
The Mughal Garden is located inside the Taj Mahal. It's a Persian-style garden with paths or water channels dividing it into four equal sections. The Charbagh, a formal garden featuring terraced flowerbeds, water channels, and
Question : Directions: Study the following Bar graph and answer the question. The bar graph gives the annual rates of inflation in percentage for 1975 and 1987. The change in rate of inflation was least in which of the following?
Option 1: Developed nations
Option 2: United Kingdom
Option 3: World
Option 4: Third world
Correct Answer: United Kingdom
Solution : As per the given graph: For the World, The change in the rate of inflation in the World = $\frac{16-14.6}{14.6}×100$ The change in the rate of inflation in the World = 9.58% For the Developed nations, The change in the rate of inflation in
Question : Directions: Select the related letter cluster from the given alternatives. AKU : ? :: CMW : DNX
Option 1: BGL
Option 2: BLQ
Option 3: BGQ
Option 4: BLV
Correct Answer: BLV
Solution : Given: AKU : ? :: CMW : DNX
Add 1 to the place value of each letter of CMW to obtain the required code – C + 1 = D; M + 1 = N; W + 1 = X Thus, CMW is coded as
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