Staff Selection Commission Combined Graduate Level Exam
Question : Directions: If + means −, − means ×, × means ÷, and ÷ means +, what will be the value of the following expression? 5 ÷ 5 + 5 – 10 × 10 = ?
Option 1: 15
Option 2: 4
Option 3: 5
Option 4: 10
Correct Answer: 5
Solution : Given: 5 ÷ 5 + 5 – 10 × 10 = ?
On interchanging the signs given in the equation, the equation becomes – = 5 + 5 – 5 × 10 ÷ 10 = 5 + 5 – 5 × 1 = 5 +
Question :
Multan was named by the Arabs as
Option 1: City of beauty
Option 2: City of Wealth
Option 3: City of gold
Option 4: Pink city
Correct Answer: City of gold
Solution : The correct answer is City of gold.
Multan was renowned as the House of Gold in mediaeval times, according to the author of 'Jawahar-al-Bahoor' (famous Arabic History). Multan was characterised as "the city of gold" by Ibn Khurdaba in his work "The Book
Question : A lady sold an article for INR 960 at some profit. Had she sold it for INR 800, then there would have been a loss equal to $\frac{1}{3}$rd of the initial profit. What was the profit percentage of the article?
Option 1: $\frac{150}{7} \%$
Option 2: $\frac{50}{7} \%$
Option 3: $\frac{10}{7} \%$
Option 4: $\frac{100}{7} \%$
Correct Answer: $\frac{100}{7} \%$
Solution : Let the cost price of the article be $x$. According to the question, ⇒ $(x - 800) = \frac{1}{3}\times (960 - x)$ ⇒ $3(x - 800) = 960 - x$ ⇒ $3x - 2400 = 960 - x$ ⇒ $3x + x = 960
Question : What is the correct statement related to Avogadro?
Option 1: Avogadro discovered electrons
Option 2: Avogadro made a distinction between electrons and neutrons.
Option 3: Avogadro discovered a difference between animal and plant cells.
Option 4: Avogadro made a distinction between atoms and molecules.
Correct Answer: Avogadro made a distinction between atoms and molecules.
Solution : The correct option is Avogadro made a distinction between atoms and molecules.
Avogadro distinguished molecules from atoms for the first time in 1811. He also proposed Avogadro's Law: equal amounts of gas at the same pressure and
Question : 625 + 626 + 627 + 628 is divisible by:
Option 1: 256
Option 2: 254
Option 3: 255
Option 4: 259
Correct Answer: 259
Solution : 625 + 626 + 627 + 628 = 625(1 + 6 + 62 + 63) = 625(7 + 36 + 216) = 625(259) It is divisible by 259. Hence, the correct answer
Question : Expand and simplify the algebraic expression: $(x-5)^2+(x+3)^2+4x$
Option 1: $2\left(x^2-17\right)$
Option 2: $2\left(x^2+17\right)$
Option 3: $\left(x^2+17\right)$
Option 4: $2\left(x^2-5 x+17\right)$
Correct Answer: $2\left(x^2+17\right)$
Solution : $(x-5)^2+(x+3)^2+4x$ $=x^2-10x+25+x^2+6x+9+4x$ $= 2x^2+34$ $= 2(x^2+17)$ Hence, the correct answer is $2(x^2+17)$.
Question : Select the correct indirect form of the given sentence.
I said to the office boy, "Take these papers to the manager immediately."
Option 1: I requested the office boy to take these papers to the manager immediately.
Option 2: I said to the office boy to take these papers to the manager immediately.
Option 3: I told the office boy take those papers to the manager immediately.
Option 4: I ordered the office boy to take those papers to the manager immediately.
Correct Answer: I ordered the office boy to take those papers to the manager immediately.
Solution : The fourth option is the correct answer.
Narration Conversion:
Question : Directions: Starting from a point, a person travels 3 km towards the east and turns left and travels 4 km. Then again he turns to the left by 45° and moves straight. Which direction is he facing now?
Option 1: North-East
Option 2: North-West
Option 3: South-East
Option 4: South-West
Correct Answer: North-West
Solution : Firstly, we will draw the diagram as per the given instructions – Here, A is the starting point and D is the endpoint.
So, the person is facing in the northwest direction. Hence, the second option is correct.
Question : A man invests a total sum of INR 10,000 in a company. A part of the sum was invested at 10% simple interest per annum and the remaining part, at 15% simple interest per annum. If the total interest accrued in two years equals INR 2,400, the sum invested at 15% simple interest per annum is:
Option 1: INR 8000
Option 2: INR 4000
Option 3: INR 6000
Option 4: INR 5000
Correct Answer: INR 4000
Solution : Let the sum invested at 15% be $x$ and the sum invested at 10% be (10000 – $x$). Time = 2 years According to the question: $2400 =\frac{x×15×2}{100}$+$\frac{(10000-x)×10×2}{100}$ ⇒ $2400 =\frac{30x}{100}$+$\frac{(200000-20x)}{100}$ ⇒ $2400 = \frac{30x+200000-20x}{100}$ ⇒ $240000 = 10x + 200000$ ⇒ $40000 =
Question : In the first month, the income of Mohan increased by 30%. In the second month, his income decreased by 30%. What will be the percentage increase or decrease in the income after two months?
Option 1: 15% increase
Option 2: 9% increase
Option 3: 15% decrease
Option 4: 9% decrease
Correct Answer: 9% decrease
Solution : According to the question: In the first month, his income increased by 30%. In the second month, his income decreased by 30%. $\therefore$ Income of Mohan after 2 months = $30 +(-30) + \frac{30\times -(30)}{100} = - 9\%$ Hence, the correct answer is 9%
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