Staff Selection Commission Combined Higher Secondary Level Exam
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
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.
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: $\frac{\sqrt{198}}{4}$
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
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
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
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
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
Question : Kedarnath Singh won the Jnanpith Award for work in which language?
Option 1: Gujarati
Option 2: Marathi
Option 3: Hindi
Option 4: Telugu
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
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
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 $= 42,600\times \frac{100}{(100-25 \%)} = 56800$
Question : A megabyte (MB) consists of 1024 ______.
Option 1: gigabytes
Option 2: kilobytes
Option 3: terabytes
Option 4: bytes
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,
Question : Comprehension:
In the following passage, some words have been deleted. Read the passage carefully and select the most appropriate option to fill in each blank.
His only (1)_____ was that he had no rifle. While running away from the village below, he had forgotten the rifle in a hurry. An unpardonable (2)_____, but it was now too late to make amends for it. (3)_____ he had the rifle, his pursuers would not have dared follow him with such brazen confidence. He would have hidden behind a rock and waited for them. As they came within his rifle's range, he would have picked them off one by one. But now he could do (4)_____ about it. He was unarmed. But come what may, he must (5)_____ of their rifle's range.
Question
Select the most appropriate option to fill in the blank number 2.
Option 1: lapse
Option 2: yearn
Option 3: reward
Option 4: crime
Correct Answer: lapse
Solution : The correct choice is the first option.
Lapse means a temporary failure, and it helps convey the intended meaning that an unpardonable failure has occurred for which it was too late to make amends.
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
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 :
Question : Select the most appropriate option that can substitute the underlined segment in the given sentence. If there is no need to substitute it, select 'No correction required'.
The mermaid murmured that it had been very difficult for her to live far from human civilisation.
Option 1: it had
Option 2: No correction required
Option 3: this has been
Option 4: this had been
Correct Answer: No correction required
Solution : The second option is the correct choice.
The sentence is structurally and grammatically correct and requires no correction.
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