Staff Selection Commission Combined Higher Secondary Level Exam
Question : Select the most appropriate option to substitute the underlined segment in the given sentence.
Teja is a successful businessman; he always makes hay when the moon shines.
Option 1: makes hay while the sun sets
Option 2: makes hay while the sun shines
Option 3: makes hey while the moon rises
Option 4: makes hay while the stars twinkle
Correct Answer: makes hay while the sun shines
Solution : The correct choice is the second option.
The idiom, hay while the sun shines means that one is taking advantage of a situation that is favourable to them while they have the chance to.
Therefore, the correct sentence is:
Question : If $x+\frac{1}{x}=\sqrt{3}$ then, the value of $x^{30}+x^{24}+x^{18}+x^{12}+x^{6}+1$ is:
Option 1: $\sqrt{3}$
Option 2: $-\sqrt{3}$
Option 3: $1$
Option 4: $0$
Correct Answer: $0$
Solution : Given: $x+\frac{1}{x}=\sqrt{3}$ Cubing both sides, we get $x^3+\frac{1}{x^3}+3(x)(\frac{1}{x})(x+\frac{1}{x})=3\sqrt{3}$ ⇒ $x^3+\frac{1}{x^3}+3\sqrt{3}=3\sqrt{3}$ ⇒ $x^6+1=0$ The expression is $x^{30}+x^{24}+x^{18}+x^{12}+x^{6}+1$ $=x^{30}+x^{24}+x^{18}+x^{12}$ $=x^{30}+x^{24}+x^{12}(x^{6}+1)$ $=x^{30}+x^{24}$ $=x^{24}(x^{6}+1)$ $=0$ Hence, the correct answer is $0$.
Question : C++ is an example of which type of computer language?
Option 1: Visual Programming Language
Option 2: Object-Oriented Language
Option 3: Business Data Processing
Option 4: String and List Processing
Correct Answer: Object-Oriented Language
Solution : The correct answer is Object-Oriented Language.
High-level, general-purpose programming languages like C++ are made for creating systems and applications. It was created as an addition to the C programming language by Bjarne Stroustrup at Bell Laboratories in 1983. Procedural, functional, and generic programming
Question : The Radii of the two circles are 20 cm and 4 cm. Length of the direct common tangent is 30 cm. What is the distance between their centres?
Option 1: 36 cm
Option 2: 38 cm
Option 3: 34 cm
Option 4: 32 cm
Correct Answer: 34 cm
Solution : Given: $r_1=20$ and $r_2=4$ Let $x$ be the distance between two centres. We know that, Direct common tangent = $\sqrt{d^2-(r_1-r_2)^2}$, where $d$ is the distance between the centres and $r_1$ and $r_2$ are the radii of the circles. ⇒ $30=\sqrt{x^2-(20-4)^2}$ ⇒ $30=\sqrt{x^2-16^2}$ ⇒ $900=x^2-256$
Question : Directions: In the following question, a series is given with two terms missing. Choose the correct alternative from the given ones that will complete the series. 6, 2, 9, 4, 12, ?, ?
Option 1: 8, 24
Option 2: 13, 15
Option 3: 4, 13
Option 4: 6, 15
Correct Answer: 6, 15
Solution : Given: 6, 2, 9, 4, 12, ?, ?
The pattern followed is – (I) Odd–placed terms of the series are consecutive multiples of 3→6, 9, 12, 15 (II) Even–placed terms of the series terms are consecutive multiples of 2→2, 4, 6
So, the missing
Question : Directions: A piece of paper is folded and cut 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 second option is correct.
Question : _________is the highest peak in the Eastern Ghats.
Option 1: Kanchenjunga
Option 2: Khasi
Option 3: Anai Mudi
Option 4: Mahendragiri
Correct Answer: Mahendragiri
Solution : The correct option is Mahendragiri
The highest peak in the Eastern Ghats is Mahendragiri. It is located in the Indian state of Odisha. Mahendragiri stands at an elevation of approximately 1,501 meters (4,925 feet) above sea level. It is a prominent peak in the Eastern
Question : Select the most appropriate ANTONYM of the given word. Frugality
Option 1: Parsimony
Option 2: Extravagance
Option 3: Providence
Option 4: Economy
Correct Answer: Extravagance
Solution : The second option is correct.
The most appropriate antonym of the word "frugality" is "extravagance".
The meanings of every option are as follows:
Parsimony: It is a synonym of frugality, so it's not an antonym.
Extravagance: This is the correct antonym for frugality. Extravagance means
Question : Two numbers are in the ratio 9 : 16. If both numbers are increased by 40, then their ratio becomes 2 : 3. What is the difference between the two numbers?
Option 1: 64
Option 2: 60
Option 3: 48
Option 4: 56
Correct Answer: 56
Solution : Let the two numbers as $9x$ and $16x$. According to the problem, if both numbers are increased by 40, their ratio becomes 2 : 3. $⇒\frac{9x + 40}{16x + 40} = \frac{2}{3}$ $⇒27x + 120 = 32x + 80$ $⇒5x = 40$ $⇒x = 8$
Question : January 15 is celebrated as
Option 1: Labour Day
Option 2: Army Day
Option 3: Republic Day
Option 4: Makar Sankranti
Correct Answer: Army Day
Solution : The correct answer is Army Day.
Indian Army Day is observed yearly on January 15 to salute Indian troops. The gallant men of the Indian Army are acknowledged and revered on this day for their service to the country. Every Indian Army command observes
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