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Staff Selection Commission Combined Higher Secondary Level Exam

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Question : If $\frac{x^2+1}{x}=5$, then find the value of $x^4+\frac{1}{x^4}-36$.

Option 1: 491

Option 2: 149

Option 3: 419

Option 4: 194

Team Careers360 23rd Jan, 2024

Correct Answer: 491


Solution : $\frac{x^2+1}{x}=5$
⇒ $x+\frac{1}{x}=5$
Squaring both sides, we get,
⇒ $x^2+\frac{1}{x^2}+2=25$ 
⇒ $x^2+\frac{1}{x^2}=23$
Squaring both sides, we get,
⇒ $x^4+\frac{1}{x^4}+2=529$
Subtracting 38 from both sides.
⇒ $x^4+\frac{1}{x^4}-36 =491$
Hence, the correct answer is 491.

20 Views

Question : AB = 8 cm and CD = 6 cm are two parallel chords on the same side of the centre of a circle. If the distance between them is 2 cm, then the radius (in cm) of the circle is:

Option 1: $\frac{\sqrt{265}}{4}$

Option 2: $\frac{\sqrt{256}}{4}$

Option 3: $\frac{\sqrt{156}}{4}$

Option 4: $\frac{\sqrt{198}}{4}$

Team Careers360 23rd Jan, 2024

Correct Answer: $\frac{\sqrt{265}}{4}$


Solution :
Given, AB = 8 cm and CD = 6 cm are two parallel chords on the same side of the centre of a circle.
Let OM be perpendicular to AB and ON be perpendicular to CD.
Perpendicular from the centre to a chord bisects the

16 Views

Question : Directions: Select the word pair that does NOT represent a similar relationship to the one expressed in the pair of words given below.
(The words must be considered meaningful English words and must not be related to each other based on the number of letters/number of consonants/vowels in the word.)
Scatter : Combine

Option 1: Sorrow : Cheer

Option 2: Diminish : Shrink

Option 3: Serious : Insincere

Option 4: Lofty : Low

Team Careers360 23rd Jan, 2024

Correct Answer: Diminish : Shrink


Solution : Given:
Scatter : Combine (It represents an opposite or contrasting relationship, where scatter means to disperse and combine means to bring together.)

Let's check the options –

First option: Sorrow : Cheer; Sorrow is the opposite of cheer as sorrow signifies a state

13 Views

Question : Directions: In the given question, select the related letter from the given alternatives.
C : I :: D : ?

Option 1: L

Option 2: M

Option 3: N

Option 4: O

Team Careers360 23rd Jan, 2024

Correct Answer: L


Solution : Given:
C : I :: D : ?

Like, the place value of C→3
C→3 × 3 = 9→I
So, C is related to I.
Similarly, follow the same pattern for D –
Place value of D→4
D→4 × 3 = 12→L

So, D is

23 Views

Question : Kedarnath Singh won the Jnanpith Award for work in which language?

Option 1: Gujarati

Option 2: Marathi

Option 3: Hindi

Option 4: Telugu

Team Careers360 23rd Jan, 2024

Correct Answer: Hindi


Solution : The correct option is Hindi.

Kedarnath Singh, the renowned Indian poet, won the Jnanpith Award for his contributions to Hindi literature. He was honoured with this prestigious literary award in 2013. Kedarnath Singh's works have made a significant impact on the world of Hindi

362 Views

Question : A person sold two items each for INR 42,600. On the first item, he made a loss of 25%, while on the second, he gained 20%. Find his overall percentage gain or loss, giving your answer correct to one place of decimal.

Option 1: 7.7% gain

Option 2: 7.7% loss

Option 3: 8.3% loss

Option 4: 8.2% loss

Team Careers360 23rd Jan, 2024

Correct Answer: 7.7% loss


Solution : Here the cost price is denoted by CP, the selling price is denoted by SP.
He sold both the items for Rs. 42,600.
On the first item, he made a loss of 25%
CP of the first item $= 42,600\times \frac{100}{(100-25 \%)} = 56800$

17 Views

Question : A megabyte (MB) consists of 1024 ______.

Option 1: gigabytes

Option 2: kilobytes

Option 3: terabytes

Option 4: bytes

Team Careers360 25th Jan, 2024

Correct Answer: kilobytes


Solution : The correct answer is kilobytes.

A megabyte (MB) consists of 1024 kilobytes (KB). Each kilobyte is equivalent to 1024 bytes. This binary-based system of measuring data follows the pattern of powers of 2, where each higher unit represents 1024 times the lower unit. Therefore,

5 Views

Question :

Directions: In the following question, select the related word from the given alternatives.
Pascal : Pressure :: ? : ?

Option 1: Hectare : Volume

Option 2: Speed : Temperature

Option 3: Joule : Work

Option 4: Time : Seconds

Team Careers360 23rd Jan, 2024

Correct Answer: Joule : Work


Solution : Given:
Pascal : Pressure :: ? : ?

Given relation pattern: Unit : Physical Quantity 
First option: Hectare : Volume; Hectare is not a unit of Volume.
Second option: Speed : Temperature; Speed is not a unit of Temperature.
Third option: Joule :

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