Staff Selection Commission Combined Higher Secondary Level Exam
Question : The marked price of an article is 150 percent of the cost price. If a 20 percent discount is given, then what will be the profit percentage?
Option 1: 20 percent
Option 2: 12.5 percent
Option 3: 25 percent
Option 4: 10 percent
Correct Answer: 20 percent
Solution : According to the question, Marked Price = 150% of cost price $\therefore$ $\text{MP} = 1.5\text{C}$ After a 20% discount, the selling price (SP) is given by: SP $=$ Marked Price $−$ Discount ⇒ SP $=1.5\text{C}−0.2\times1.5\text{C}=1.2\text{C}$ ⇒ Profit $=$ SP $−$ CP $=1.2\text{C}−\text{C}=0.2\text{C}$ Profit Percentage = $\frac{\text{Profit}}{\text{Cost Price}}\times 100$ $=\frac{0.2\text{C}}{C}\times 100$% ⇒ Profit Percentage = 20% Hence, the correct answer is 20 percent.
Question : If (2, 0) is a solution of the linear equation $2x+3y = k$, then the value of $k$ is:
Option 1: 6
Option 2: 5
Option 3: 2
Option 4: 4
Correct Answer: 4
Solution : Given: $2x+3y=k$ If (2, 0) is a solution of the linear equation $2x+3y=k$ Putting $x = 2$ and $y = 0$ to get: ⇒ $2(2)+3(0) = k$ $\therefore k = 4$ Hence, the correct answer is 4.
Question : Planck's Constant has the dimensions of:
Option 1: Energy
Option 2: Linear momentum
Option 3: Angular momentum
Option 4: Force
Correct Answer: Energy
Solution : The correct answer is Energy.
Planck's constant (ℎ) has dimensions of energy multiplied by time. In terms of units, it is commonly expressed in joule-seconds (J·s) in the International System of Units (SI). It can be expressed as [ℎ] = [E] × [t] where:
[ℎ} is the dimension of Planck's Constant, [E] is the dimension of energy, [t] is the dimension of time.
Question : Directions: A piece of paper is folded and punched as shown below in the question figures. From the given answer figures, indicate how it will appear when opened.
Option 1:
Option 2:
Option 3:
Option 4:
Correct Answer:
Solution : When the given folded paper is unfolded, it will look like –
Hence, the third option is correct.
Question : Non - alignment basically implies:
Option 1: choosing its own policy
Option 2: neutrality towards power blocks
Option 3: bringing peace and unity to the world
Option 4: being a third world power
Correct Answer: neutrality towards power blocks
Solution : The correct answer is neutarilty towards power blocks.
Non-alignment movement was started by Indian Prime Minister Jawahar Lal Nehru, President of Egypt Gamal Abdel Nasser and others. Non alignment means not aligning with any of the power blocks which emerged after the second World War. In the aftermath of second World War, the world was ideologically divided into two power blocks led by USA and USSR. The newly independent nations at that time decided to maintain political neutrality and not to align with any of the power blocks and to maintain their sovereignty.
Question : The number 76050 is NOT divisible by which of the following numbers?
Option 1: 4
Option 2: 9
Option 3: 3
Option 4: 13
Solution : The prime factors of 76050 are 2, 3, 5, and 13. 76050 = 21 × 32 × 52 × 132 So, 76050 is not divisible by 4 out of the given options. Hence, the correct answer is 4.
Question : In our country the 'Van Mahotsav' day is observed on
Option 1: 10th August
Option 2: 1st July
Option 3: 2nd October
Option 4: 1st December
Correct Answer: 1st July
Solution : The correct answer is 1st July.
Van Mahotsav Day is celebrated every year in the first week of July that is, from July 1 to July 7. It was initiated in 1950 by K. M. Munshi, then Union Minister of Agriculture and Food, to spread environmental awareness, and increase local participation in plantation drives to save Mother Earth. It is also known as Forest Week.
Question : P, Q, and R are partners and invest in a business. P invests $\frac{1}{5}^{th}$ of total investments and Q invests $\frac{1}{4}^{th}$ of the total investments. What is the ratio of investments of P, Q, and R respectively?
Option 1: 4 : 8 : 11
Option 2: 4 : 5 : 11
Option 3: 4 : 7 : 11
Option 4: 4 : 5 : 9
Correct Answer: 4 : 5 : 11
Solution : P invests $\frac{1}{5}$th of the total investment. Q invests $\frac{1}{4}$th of the total investment. Taking, LCM (4, 5) = 20 Let the total investment be Rs. 20 P invests $\frac{1}{5}$th of the total investment = $\frac{1}{5}\times 20$ = Rs. 4 Q invests $\frac{1}{4}$th of the total investment = $\frac{1}{4}\times 20$ = Rs. 5 Thus R invests = Rs. 20 – (Rs. 4 + Rs. 5) = Rs. 20 – Rs. 9 = Rs. 11 Thus the ratio of the profit of P, Q, and R respectively is 4 : 5 : 11. Hence, the correct answer is 4 : 5 : 11.
Question : Which of the following elements has an atomic number greater than that of fluorine?
Option 1: Sodium
Option 2: Beryllium
Option 3: Nitrogen
Option 4: Boron
Correct Answer: Sodium
Solution : The correct option is Sodium
Sodium is an element with a higher atomic number than fluorine. Sodium has an atomic number of 11 and Fluorine's atomic number is 9.
Question : A man travelled a certain distance by train at the speed of 50 km/hr and walked back the same distance at the speed of 10 km/hr. If the whole journey took 12 hours, then what was the distance travelled by train?
Option 1: 100 km
Option 2: 180 km
Option 3: 150 km
Option 4: 120 km
Correct Answer: 100 km
Solution : Speed of train = 50 km/hr Speed of walking = 10 km/hr Total time for journey = 12 hours Let the distance to be covered be $d$ km. Time taken by train = $\frac{d}{50}$ Time taken by walking = $\frac{d}{10}$ According to the question : $⇒ \frac{d}{50} + \frac{d}{10} = 12$ $⇒ 6d = 50 × 12$ $⇒ d = 100$ km Hence, the distance travelled by train is 100 km. Hence, the correct answer is 100 km.
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