Staff Selection Commission Combined Higher Secondary Level Exam
Question : India has won 8 Olympic gold medals in which sport till 2020?
Option 1: Boxing
Option 2: Field hockey
Option 3: 10 m air rifle
Option 4: Wrestling
Correct Answer: Field hockey
Solution : The correct option is Field hockey.
As of the 2020 Tokyo Olympics, India has won eight Olympic gold medals in field hockey. India dominated the sport during its early years at the Olympic Games, with gold medal victories in 1928, 1932, 1936, 1948,
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."
There would have been (1) / a disaster (2) / and for your prompt action. (3) / No error (4)
Option 1: (1)
Option 2: (2)
Option 3: (3)
Option 4: (4)
Correct Answer: (3)
Solution : The error lies in the third part of the sentence.
Explanation: The conjunction but should be used in place of and as there is a contrast in the sentence, which makes but more appropriate to convey the intended meaning that there would have been
Question : Directions: Select the set in which the numbers are related in the same way as the numbers of the given sets. (NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into their constituent digits. E.g. 13 – operations on 13 such as adding/deleting/multiplying, etc. to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed.) 11 : 87 : 34 6 : 28 : 8
Option 1: 9 : 25 : 54
Option 2: 7 : 35 : 12
Option 3: 8 : 19 : 47
Option 4: 12 : 81 : 63
Correct Answer: 12 : 81 : 63
Solution : Given: 11 : 87 : 34 6 : 28 : 8
⇒ 11 : 87 : 34→112 = 121; 87 + 34 = 121 ⇒ 6 : 28 : 8→62 = 36; 28 + 8 = 36
Let's check
Question : Which of the following is a scalar quantity?
Option 1: Velocity
Option 2: Force
Option 3: Angular momentum
Option 4: Electrostatic potential
Correct Answer: Electrostatic potential
Solution : The correct answer is Electrostatic potential.
A scalar quantity is electrostatic potential. The electrostatic potential is a scalar variable that quantifies the electric potential energy per unit charge at a place in an electric field. It is also known as electric potential or voltage.
Question : The value of $\left(\frac{2+7 \times 7 \div 9 \text { of } 9+6 \div 6 \times 2}{4 \div 4 \text { of } 5+7 \times 7 \div 7-6+4}\right)$ is:
Option 1: $\frac{1734}{2407}$
Option 2: $\frac{1865}{2106}$
Option 3: $\frac{1857}{2507}$
Option 4: $\frac{1664}{2305}$
Correct Answer: $\frac{1865}{2106}$
Solution : Given: $\left(\frac{2+7 \times 7 \div 9 \text { of } 9+6 \div 6 \times 2}{4 \div 4 \text { of } 5+7 \times 7 \div 7-6+4}\right)$ $=\left(\frac{2+7 \times 7 \div (9×9)+6 \div 6 \times 2}{4 \div (4 × 5)+7 \times 7 \div 7-6+4}\right)$ $=\left(\frac{2+\frac{49}{81}+2}{\frac{4}{20}+7-6+4}\right)$ $=\left(\frac{2+\frac{49}{81}+2}{\frac{4}{20}+5}\right)$
Question : Directions: Which number will replace the question mark (?) to complete the given series? 2, 5, 10, 17, 26, 37, 50, ?
Option 1: 67
Option 2: 61
Option 3: 63
Option 4: 65
Correct Answer: 65
Solution : Given: 2, 5, 10, 17, 26, 37, 50, ?
In the above-given series, add consecutive odd numbers from 3 onwards to the previous number to obtain the next number – 2 + 3 = 5; 5 + 5 = 10; 10 + 7 = 17;
Question : If $(6x-5)=(4x+7)$, then the numerical value of $(x+1)^3$ is:
Option 1: 216
Option 2: 125
Option 3: 64
Option 4: 343
Correct Answer: 343
Solution : Given: $(6x-5) = (4x+7)$ $⇒6x-4x = 7+5$ $⇒2x = 12$ $\therefore x = 6$ Now, $(x+1)^{3}$ is given as, $(6+1)^{3} = 343$ Hence, the correct answer is 343.
Question : In an equilateral triangle STU, inradius is $5 \sqrt{3 }\mathrm{~cm}$. What is the length of the side of this equilateral triangle?
Option 1: $20 \sqrt{3} \mathrm{~cm}$
Option 2: $18 \sqrt{3} \mathrm{~cm}$
Option 3: $30 \mathrm{~cm}$
Option 4: $24 \mathrm{~cm}$
Correct Answer: $30 \mathrm{~cm}$
Solution : In an equilateral triangle, the inradius (r) is related to the side length ($a$) by, $ a = 2\sqrt{3}r $ Given that the inradius, $r=5\sqrt{3}$ cm, $⇒a = 2\sqrt{3} \times 5\sqrt{3} = 2 \times 15 = 30 \text{ cm} $ Hence, the correct answer
Question : Directions: Select the correct mirror image of the given figure when the mirror is placed at MN as shown.
Option 1:
Option 2:
Option 3:
Option 4:
Correct Answer:
Solution : As per the mirror image properties, closer things appear close to the mirror in the reflection. Here, according to the information provided, the mirror is placed on the right side of the figure (on line MN). So, the left side of the reflected image will appear
Question : The instrument that measures and records the relative humidity of the air is
Option 1: Hydrometer
Option 2: Hygrometer
Option 3: Lactometer
Option 4: Barometer
Correct Answer: Hygrometer
Solution : The correct answer is hygrometer.
Relative humidity is the ratio between the amount of water vapours an air mass is holding and the maximum amount of water vapours an air mass can hold. It signifies the chances of the rain in meteorological science. Hygrometer is
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