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Staff Selection Commission Combined Higher Secondary Level Exam

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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

Team Careers360 7th Jan, 2024

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:

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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: $0$

Team Careers360 12th Jan, 2024

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 $0$.

22 Views

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

Team Careers360 5th Jan, 2024

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

33 Views

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

Team Careers360 22nd Jan, 2024

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.
⇒ $30=\sqrt{x^2-(20-4)^2}$
⇒ $30=\sqrt{x^2-16^2}$
⇒ $900=x^2-256$

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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

Team Careers360 13th Jan, 2024

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

97 Views

Question : _________is the highest peak in the Eastern Ghats.

Option 1: Kanchenjunga

Option 2: Khasi

Option 3: Anai Mudi

Option 4: Mahendragiri

Team Careers360 23rd Jan, 2024

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

13 Views

Question : Select the most appropriate ANTONYM of the given word.
Frugality

Option 1: Parsimony

Option 2: Extravagance

Option 3: Providence

Option 4: Economy

Team Careers360 15th Jan, 2024

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

50 Views

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

Team Careers360 22nd Jan, 2024

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.
$⇒\frac{9x + 40}{16x + 40} = \frac{2}{3}$
$⇒27x + 120 = 32x + 80$
$⇒5x = 40$
$⇒x = 8$

15 Views

Question : January 15 is celebrated as

Option 1: Labour Day

Option 2: Army Day

Option 3: Republic Day

Option 4: Makar Sankranti

Team Careers360 7th Jan, 2024

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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