Staff Selection Commission Combined Graduate Level Exam
Question : Select the correct active form of the given sentence. Was the message given by him?
Option 1: Was he given the message?
Option 2: Does he give the message?
Option 3: Did he gave the message?
Option 4: Did he give the message?
Correct Answer: Did he give the message?
Solution : The fourth option is the correct choice.
Explanation: In active voice, the subject of the sentence performs the action, and the structure typically follows the sequence of subject, verb, and object.
The auxiliary verb "was" is replaced with "did". The subject
Question : What is the area (in unit squares) of the triangle enclosed by the graphs of $2 x+5 y=12, x+y=3$ and the x-axis?
Option 1: 2.5
Option 2: 3.5
Option 3: 3
Option 4: 4
Correct Answer: 3
Solution : The area of a triangle enclosed by two lines and the x-axis can be found by determining the points where the lines intersect the x-axis and each other. The line $2x + 5y = 12$ intersects the x-axis when $y = 0$, which gives $x
Question : If $x-\frac{1}{x}=-6$, what will be the value of $x^5-\frac{1}{x^5}?$
Option 1: –8898
Option 2: –8896
Option 3: –8886
Option 4: –8892
Correct Answer: –8886
Solution : Given: $x-\frac{1}{x}=-6$ ----------------(equation1) Squaring both sides of equation 1, we get: ⇒ $x^2+\frac{1}{x^2}-2=(-6)^2$ ⇒ $x^2+\frac{1}{x^2}=38$ Cubing both sides of equation 1, we get: ⇒ $x^3-\frac{1}{x^3}-3×x×\frac{1}{x}(x-\frac{1}{x})=(-6)^3$ ⇒ $x^3-\frac{1}{x^3}=-216+3×(-6)$ ⇒ $x^3-\frac{1}{x^3}=-234$ Now, $(x^2+\frac{1}{x^2})(x^3-\frac{1}{x^3})=38×(-234)$ ⇒ $(x^5-\frac{1}{x^5})+(x-\frac{1}{x})=(-8892)$ ⇒ $(x^5-\frac{1}{x^5})+(-6)=(-8892)$ $\therefore(x^5-\frac{1}{x^5})= -8886$ Hence, the correct answer is –8886.
Question : A circular arc whose radius is 4 cm makes an angle of 45º at the centre. Find the perimeter of the sector formed. (Take $\pi=\frac{22}{7}$)
Option 1: $\frac{78}{7} \mathrm{~cm}$
Option 2: $\frac{72}{7} \mathrm{~cm}$
Option 3: $\frac{74}{7} \mathrm{~cm}$
Option 4: $\frac{76}{7} \mathrm{~cm}$
Correct Answer: $\frac{78}{7} \mathrm{~cm}$
Solution : A circular arc whose radius is 4 cm makes an angle of 45° at the centre. Here, radius($r$) = 4 cm and central angle($\theta$) = 45°. We know, The perimeter of the sector in circle = $2\pi r×(\frac{\theta}{360°})$ + 2 × $r$ = $2×\frac{22}{7}×4×\frac{45°}{360°}$
Question : Select the most appropriate indirect form of the given sentence.
“I finished my assignment two hours ago,” she said.
Option 1: She said that she finished my assignment two hours ago.
Option 2: She said that she had finished her assignment two hours before.
Option 3: She said that I finished my assignment two hours before.
Option 4: She said that she has finished her assignment two hours ago.
Correct Answer: She said that she had finished her assignment two hours before.
Solution : The second option is the correct choice.
Narration Conversion:
Question : Ramesh sold a book at a loss of 30%. If he had sold it for Rs. 140 more, he would have made a profit of 40%. The cost price of the book is:
Option 1: Rs. 280
Option 2: Rs. 200
Option 3: Rs. 260
Option 4: Rs. 300
Correct Answer: Rs. 200
Solution : Loss = 30% of cost price ⇒ Selling price = cost price – loss = 70% of cost price 70% of cost Price + Rs.140 = cost price + profit Profit = 40% of cost price ⇒ 70% of cost price + Rs. 140
Question : Directions: If 11 & 25 = 18, 12 & 20 = 16 then, what is the value of 4 & 50 = ?
Option 1: 42
Option 2: 17
Option 3: 27
Option 4: 37
Correct Answer: 27
Solution : Given: 11 & 25 = 18, 12 & 20 = 16, 4 & 50 = ?
Use the following operations in place of the given symbols & – Like, 11 & 25 = 18→(11 + 25) ÷ 2 = 36 ÷ 2 = 18 And,
Question : Two pie charts are given below. There are 6 departments in an office. Pie chart 1 shows the number of males in these 6 departments. The number of males in a particular department is shown as a percentage of total number of males in these 6 departments. Pie chart 2 shows the number of females in these 6 departments. The number of females in a particular department is shown as a percentage of the total number of females in these 6 departments. The difference between the number of males in B and C is 600 and the difference between the number of females in D and E is 900. What is the sum of the number of females in A, B, and F and the number of males in D, E, and A?
Option 1: 26,300
Option 2: 29,400
Option 3: 26,800
Option 4: 25,700
Correct Answer: 26,300
Solution : Given: The difference between the number of males in B and C is 600 and the difference between the number of females in D and E is 900. Male(1%) = $\frac{600}{3}$ = 200 males Females(1%) = $\frac{900}{3}$ = 300 females According to the question, The
Question : Directions: Select the option that represents the letters that, when sequentially placed from left to right in the blanks below, will complete the letter series. M_ _KS_ON_SMO_ K_ _ _NKS
Option 1: ONMNKOMS
Option 2: ONMKNSMO
Option 3: ONMMMMMO
Option 4: NMOKNSMO
Correct Answer: ONMKNSMO
Solution : Given: M_ _KS_ON_SMO_ K_ _ _NKS
To fill the series we have to divide the series – M_ _KS /_ON_S / MO_ K_ / _ _NKS
Let's check the options – First option: ONMNKOMS – MONKS / MONNS
Question : Select the correct direct form of the given sentence.
Rahul said that he had slipped and fallen on the marshy land.
Option 1: Rahul said, “I slipped and fallen on the marshy land.”
Option 2: Rahul said, “He have slipped and fallen on the marshy land.”
Option 3: Rahul said, “I slipped and fell on the marshy land.”
Option 4: Rahul said, “He slips and falls on the marshy land.”
Correct Answer: Rahul said, “I slipped and fell on the marshy land.”
Solution : The correct choice is the third option.
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