Staff Selection Commission Combined Graduate Level Exam
Question : In part one, while solving a question, Suhas accidentally took a number as a dividend which was 10% less than the original dividend. He also mistakenly took as divisor a number that was 20% less than the original divisor. If the correct quotient of the original question of division was 24 and the remainder was 0, then what quotient did Suhas obtain, assuming there was no error in his calculations?
Option 1: 27
Option 2: 21.6
Option 3: 26.4
Option 4: 30
Correct Answer: 27
Solution : Original quotient = 24 Original remainder = 0 Wrong dividend = 90% of original dividend Wrong divisor = 80% of original divisor We know that, Dividend = Divisor × Quotient + Remainder Here, Dividend = Divisor × Quotient So, old and new dividends, divisors and
Question : Select the sentences that contains no spelling errors.
Option 1: Anxiety is one of the most insidyous conditions affecting the mental health of an individual.
Option 2: Anxiety is one of the most insidious conditions affecting the mental health of an individual.
Option 3: Anxiety is one of the most insicdious conditions affecting the mental health of an individual.
Option 4: Anxiety is one of the most insidiouos conditions affecting the mental health of an individual.
Correct Answer: Anxiety is one of the most insidious conditions affecting the mental health of an individual.
Solution : The second option is the correct choice.
There is an error in the word, which is common in each sentence. The corrected word is insidious, which refers to the spreading or
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.
When he was in college, a famous poet made a useful distinction for him. He had drunk (1)________ in the poet's company to be compelled to describe to him a poem he was (2)_____of. It would be a monologue of sorts, the self-contemplation of a student on a summer afternoon who is reading Euphues. The poem itself would be a subtle (3)_____ of euphuisms, translating the heat, the day, and the student's concerns, into symmetrical posies; translating even his (4) ______and boredom with that famously foolish book into a euphuism. The poet nodded his big head in a sympathetic, rhythmic way as this was (5)_____ to him, then told him that there are two kinds of poems. There is the kind you write; there is the kind you talk about in bars. Both kinds have value and both are poems, but it's fatal to confuse them.
Select the most appropriate option to fill in blank no. 3.
Option 1: plains
Option 2: credits
Option 3: series
Option 4: races
Correct Answer: series
Solution : The third option is the correct choice.
The word series means a number of events or related kinds coming after one another. This is the appropriate choice according to the context of the sentence, as it helps in conveying the intended meaning that the poem
Question : "yosemite" is a
Option 1: River
Option 2: Peak
Option 3: Waterfall
Option 4: Dam
Correct Answer: Waterfall
Solution : The correct option is -
With a total plunge of 2,425 feet from the top of the higher fall to the base of the lower fall, Yosemite Falls is the highest waterfall in Yosemite National Park. It is located in the Sierra Nevada of California.
Question : Directions: In the following question, from the given alternative words, select the word that can be formed using the letters of the given word. CAPITULATE
Option 1: CAPABLE
Option 2: LUPIN
Option 3: PITTY
Option 4: TALE
Correct Answer: TALE
Solution : Given: CAPITULATE
Now let's compare all the option words – First option: CAPABLE; The letter B of the word CAPABLE is not present in the word CAPITULATE. Second option: LUPIN; The letter N of the word LUPIN is not present in the word CAPITULATE. Third
Question : Directions: In a row of people all facing north, Prince is 5th from the right end. Amit is 15th from the right end. Amit is exactly between Prince and Aditya. If Aditya is sixth from the left end of the line, how many people are there in the row?
Option 1: 29
Option 2: 31
Option 3: 30
Option 4: 32
Correct Answer: 30
Solution : Given: Prince is 5th from the right end. Amit is 15th from the right end. Amit is exactly between Prince and Aditya. Aditya is sixth from the left end of the line.
→The number of people between Amit and Prince = (Position of Amit from
Question : A coconut tree swings with the wind in such a manner that the angle covered by its trunk is 18°. If the topmost portion of the tree covers a distance of 44 metres, find the length of the tree. ( $\tan 18°$ = 0.3249).
Option 1: 120 metres
Option 2: 210 metres
Option 3: 140 metres
Option 4: 70 metres
Correct Answer: 140 metres
Solution : Let the length of the tree be $l$ metres. According to the question, $2\pi l×\frac{18°}{360°}=44$ ⇒ $\frac{44l}{7}×\frac{1}{20}=44$ ⇒ $l=140$ metres Hence, the correct answer is 140 metres.
Question : Directions: The second number in the given number pairs is obtained by performing certain mathematical operation(s) on the first number. The same operation(s) is/are followed in all the number pairs except one. Find that odd number pair.
Option 1: 7 : 46
Option 2: 13 : 166
Option 3: 9 : 78
Option 4: 48 : 144
Correct Answer: 48 : 144
Solution : Let's check the options – First option: 7 : 46→(7)2 – 3 = 49 – 3 = 46 Second option: 13 : 166→(13)2 – 3 = 169 – 3 = 166 Third option: 9 : 78→(9)2 – 3 = 81
Question : The area of triangle formed by the straight line $3x + 2y = 6$ and the co-ordinate axes is:
Option 1: 3 square units
Option 2: 6 square units
Option 3: 4 square units
Option 4: 8 square units
Correct Answer: 3 square units
Solution : The area of a triangle formed by a line and the coordinate axes $=\frac{1}{2} \times \text{base} \times \text{height}$ The line $3x + 2y = 6$ At $y = 0⇒x = \frac{6}{3} = 2$ At $x = 0⇒y = \frac{6}{2} = 3$ So, the
Question : If $\left(y+\frac{1}{y}\right)=4$, then find the value of $\left(y^6+\frac{1}{y^6}\right)$.
Option 1: 2702
Option 2: 2704
Option 3: 4096
Option 4: 2706
Correct Answer: 2702
Solution : Given: $\left(y+\frac{1}{y}\right)=4$ Squaring both sides, we get ⇒ $\left(y+\frac{1}{y}\right)^{2}=4^{2}$ ⇒ $y^{2}+\frac{1}{y^{2}}=16-2$ ⇒ $y^{2}+\frac{1}{y^{2}}=14$ Cubing both sides, we get ⇒ $(y^{2}+\frac{1}{y^{2}})^3=14^3$ ⇒ $\left(y^6+\frac{1}{y^6}\right)+3×\left(y^2×\frac{1}{y^2}\right)×\left(y^2+\frac{1}{y^2}\right)=2744$ ⇒ $\left(y^6+\frac{1}{y^6}\right)+3×14=2744$ ⇒ $\left(y^6+\frac{1}{y^6}\right)=2744-42$ $\therefore \left(y^6+\frac{1}{y^6}\right)=2702$ Hence, the correct answer is 2702.
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