Staff Selection Commission Combined Higher Secondary Level Exam
Question : Select the most appropriate option that can substitute the underlined words in the following sentence.
The people who live here have had the same kind of lifestyle until hundreds of years.
Option 1: through hundreds of year
Option 2: for hundreds of years
Option 3: although hundreds of years
Option 4: since hundreds of year
Correct Answer: for hundreds of years
Solution : The correct choice is the second option.
This option correctly indicates the duration of time that the people have had the same lifestyle for hundreds of years denotes the length of time over which the lifestyle has remained unchanged.
The correct sentence
Question : Directions: In the following question, four number pairs are, given. In each pair, the number on the left side of (–) is related to the number on the right side of (–) with some Logic/Rule /Relation. Three pairs are similar based on the same Logic/Rule/Relation. Select the odd one out from the given alternatives. (NOTE: Operations should be performed on the 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: 14 – 2762
Option 2: 16 – 4098
Option 3: 11 – 1333
Option 4: 13 – 2199
Correct Answer: 14 – 2762
Solution : Let's check each option –
First option: (14 – 2762); 143 + 2 = 2744 + 2 = 2746 ≠ 2762 Second option: (16 – 4098); 163 + 2 = 4096 + 2 = 4098 Third option: (11 – 1333); 11
Question : At how much percent above the cost price should a trader mark his goods so that after allowing a discount of 25%, he still gains 5%?
Option 1: 35
Option 2: 32
Option 3: 50
Option 4: 40
Correct Answer: 40
Solution : Let the cost price be Rs. $100$. So, the selling price is $100 + 5$ = Rs. $105$ Discount is $25$%. Let, the marked price be $x$. So, the selling price after the discount is $\frac{75}{100}×x=\frac{3x}{4}$ According to the question, $\frac{3x}{4} = 105$ $\therefore x
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,
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