Staff Selection Commission Combined Higher Secondary Level Exam
Question : If the length of the side of an equilateral triangle is 8 cm, what is its area (in cm2)?
Option 1: $32\sqrt{3}$
Option 2: $16$
Option 3: $16\sqrt{3}$
Option 4: $32$
Correct Answer: $16\sqrt{3}$
Solution : The area of an equilateral triangle with side length $a$, $= \frac{\sqrt{3}}{4}a^2$ On substituting $a$ = 8 cm, The area of an equilateral triangle $= \frac{\sqrt{3}}{4} \times 8^2 = 16\sqrt{3} \text{ cm}^2$ Hence, the correct answer is $16\sqrt{3}$.
Question : Directions: Identify the figure given in the options which when put in place of the question mark (?) will logically complete the series.
Option 1:
Option 2:
Option 3:
Option 4:
Correct Answer:
Solution : According to the given figure series – In each step, a letter from the last position in the given series moves to the first. The first letter of the series shifts to the second position, the second letter to the third position, the third letter to
Question :
Directions: In the following question you have to identify the correct response from the given premises stated according to the following symbols. Select the set of symbols that can be fitted correctly in the equation. 4....3....4 = 48
Option 1: +, +
Option 2: +, –
Option 3: ×, +
Option 4: ×, ×
Correct Answer: ×, ×
Solution : Given: 4....3....4 = 48
Let's check the options – First option: +, + ⇒ 4 + 3 + 4 = 48 On solving the L.H.S. of the equation, we get – = 4 + 3 + 4 = 11 ≠ 48 Second option: +,
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. (NOTE: Operations should be performed on whole numbers, without breaking down the numbers into their constituent digits. E.g. 13 – operations on 13 such as adding/subtracting/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.)
Option 1: 21 : 100
Option 2: 19 : 88
Option 3: 13 : 64
Option 4: 17 : 80
Correct Answer: 21 : 100
Solution : Let's check each option – First option: 21 : 100; (21 + 3) × 4 = 24 × 4 = 96 ≠ 100 Second option: 19 : 88; (19 + 3) × 4 = 22 × 4 = 88 Third option: 13 :
Question : Which of the following is an example of Plutonic Igneous Rock?
Option 1: Basalt
Option 2: Granite
Option 3: Slate
Option 4: Dolomite
Correct Answer: Granite
Solution : The correct option is Granite.
Granite is an example of a plutonic igneous rock. Plutonic rocks, also known as intrusive rocks, form beneath the Earth's surface through slow cooling, and solidification of magma. Granite is a coarse-grained, light-coloured rock composed primarily of minerals such
Question : Comprehension: In the following passage, some of the words have been deleted. Read the passage carefully and select the correct answer for the given blank out of the four alternatives.
Fresh pineapple, chilled watermelon, and an icy cold soft drink on a hot summer's day. What do these things have in (1)_____? They all taste so good because of the sweetness the sugar in them provides. When you think of sugar, you probably picture the white (2)_____ you put in cookies, that your parents put in their coffee, or that you (3)_____ on your cereal. Actually, this is just one kind of sugar, called sucrose, which is (4)______ from sugar cane or sugar beets. Technically, sugar is a carbohydrate that occurs (5)_____ in every fruit and vegetable.
Select the most appropriate option to fill in the blank number (1).
Option 1: tandem
Option 2: common
Option 3: collision
Option 4: balance
Correct Answer: common
Solution : The correct answer is the second option.
The word "common" is suitable in the blank because it indicates a shared characteristic or quality among fresh pineapple, chilled watermelon, and an icy cold soft drink on a hot summer's day.
Therefore, the correct answer is common.
Question : Directions: In the following question, select the missing number from the given responses.
Option 1: 5
Option 2: 2
Option 3: 3
Option 4: 1
Correct Answer: 3
Solution : Given:
The pattern followed is as follows – In the first part; 2 + 3 + 1 = 6; 4 + 3 + 2 = 9→9 – 6 = 3 In
Question : The perpendicular distance from the centre of a circle to the chord is 20 cm. Calculate the chord's length in centimetres if the circle's diameter is 58 cm.
Option 1: 42
Option 2: 21
Option 3: 56
Option 4: 28
Correct Answer: 42
Solution : Given: Diameter, AB = $58$ cm So, Radius = $\frac{58}{2}=29$ cm CD is the chord. Its distance from the centre, ON is $20$ cm. CD = $2$ × CN Join OC. OC is the radius. From $\triangle$OCN, OC2 = ON2 + CN2
Question : Part V, chapter II of the Indian Constitution does not include which of the following provisions?
Option 1: Joint sitting of both houses of Parliament in certain cases.
Option 2: Power of President to promulgate Ordinances during recess of Parliament.
Option 3: Language to be used in Parliament.
Option 4: Restriction on discussion in Parliament.
Correct Answer: Power of President to promulgate Ordinances during recess of Parliament.
Solution : The correct answer is the Power of the President to promulgate Ordinances during the recess of Parliament.
The organisation, composition, duration, officials, procedures, privileges, powers, and other aspects of Parliament are covered under Articles 79
Question : What is the pH of human blood?
Option 1: 6.5
Option 2: 5.8
Option 3: 10
Option 4: 7.4
Correct Answer: 7.4
Solution : The correct option is 7.4.
Usually, human blood pH is kept within a specific range to guarantee appropriate physiological function. Arterial blood typically has a pH of 7.35 to 7.45. The body uses this slightly alkaline pH for several metabolic functions. Significant deviations from
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