Staff Selection Commission Multi Tasking Staff Exam
Question : A shopkeeper sells an item at a loss of 8%. However, if he increases the selling price by Rs. 36, he could gain 12%. Find the cost price of the article (in Rs.).
Option 1: 180
Option 2: 270
Option 3: 150
Option 4: 360
Correct Answer: 180
Solution : Given, Loss percentage = 8% Increase in Selling price = Rs 36 Gain percentage = 12% (100 + Gain %) – (100 – Loss %) = Increase Let the cost price of an item be Rs $x$. According to the question, ⇒ $(100 + 12)x
Question : What is the area of a square whose diagonal is $5 \sqrt{2}$ cm?
Option 1: 64 cm2
Option 2: 25 cm2
Option 3: 100 cm2
Option 4: 36 cm2
Correct Answer: 25 cm2
Solution : Diagonal of a square, $D$ = $5 \sqrt{2}$ cm Area of a square = $\frac{1}{2}D^2$ = $\frac{1}{2}(5 \sqrt{2})^2$ = $\frac{50}{2}$ = 25 cm2 Hence, the correct answer is 25 cm2.
Question : Who among the following was the Governor-General from 1773 to 1785?
Option 1: Warren Hastings
Option 2: Lord Dalhousie
Option 3: William Bentinck
Option 4: Lord Mountbatten
Correct Answer: Warren Hastings
Solution : The correct answer is Warren Hastings.
Warren Hastings was the Governor General of Bengal from 1773-1785. He was responsible for enforcing the Regulating Act of 1773. And he was also impeached when he returned to England, although he was acquitted after a trial.
Question : The simple interest received on a sum is $\frac{4}{9}$ of the sum. The number of years is equal to the annual rate of interest. What is the annual rate of interest?
Option 1: 7.5%
Option 2: 6.66%
Option 3: 6%
Option 4: 5.25%
Correct Answer: 6.66%
Solution : Given: Simple interest = $\frac{4}{9}$ of Principal Let rate = time = $x$ $\frac{\text{Simple interest}}{\text{Principal}}=\frac{4}{9}$ Now, Simple interest = $\frac{\text{Principal × Rate × Time}}{100}$ ⇒ $\frac{\text{Simple interest}}{\text{Principal}} = \frac{x × x}{100}$ ⇒ $x^2=\frac{400}{9}$ ⇒ $x=\frac{20}{3}=6.66$$ Hence, the correct answer is 6.66%.
Question : An annual allowance for wear and tear of a capital good is known as______.
Option 1: gross investment
Option 2: devaluation
Option 3: depreciation
Option 4: disinvestment
Correct Answer: depreciation
Solution : The correct answer is depreciation.
The annual allowance for wear and tear of a capital good is commonly referred to as "depreciation". Depreciation is a systematic allocation of the cost of a capital asset over its useful life, reflecting the gradual reduction in the
Question : The lengths, the breadths, and the volumes of two cuboids are in the ratios of 4 : 5, 3 : 4, and 2 : 3, respectively. What is the ratio of their heights?
Option 1: 3 : 5
Option 2: 10 : 9
Option 3: 8 : 15
Option 4: 2 : 3
Correct Answer: 10 : 9
Solution : The volume of a cuboid is $V = lbh$, where l, b and h are the length, breadth and height respectively. Let the volume of the first cuboid be $V_1 = l_1b_1h_1$ Let the volume of the second cuboid be $V_2 = l_2b_2h_2$
Question : Directions: In this question, a part of the sentence is in bold. Below are given alternatives to the bold part at 1, 2, and 3 which may improve the sentence. Choose the correct alternative. In case no improvement is needed your answer is 4.
She is scrutinising hard for the final examination.
Option 1: 1
Option 2: 2
Option 3: 3
Option 4: 4
Correct Answer: 3
Solution : The sentence can be improved using the third option.
Revising means reviewing and preparing for an exam, making it the most suitable choice in this context.
The meanings of the other options are as follows:
Question : Directions: In the following question, some parts of the sentence may have some errors. Find out which part of the sentence has an error and select the appropriate option. If the sentence is free from error, select "No error".
Although we reached his house in time, (1) / he was left (2) / for the airport. (3) / No error (4)
Option 1: (1)
Option 2: (2)
Option 3: (3)
Option 4: (4)
Correct Answer: (2)
Solution : The error lies in the second part of the sentence.
The verb was should be replaced with had to show that the person had left for the airport before the people reached his house. This part of the sentence is in the past perfect tense,
Question : Comprehension: In the following passage, some words have been deleted. Fill in the blanks with the help of the alternatives given. Select the most appropriate option for each number.
Were the stories we told each (1)_____ true? Who knows? At the best of (2)______, a story is a slippery thing (3)_______ no one had told us his (4)_________ one, though it was the tale we most (5)________ to know.
Select the most appropriate option to fill in the blank number 5.
Option 1: concern
Option 2: needed
Option 3: had
Option 4: require
Correct Answer: needed
Solution : The correct choice is the second option.
Needed is the correct choice, as it suggests that the tale was not merely wanted or desired but was essential or necessary for the speaker and the audience to know.
Therefore, the correct answer is needed.
Question : A large solid cube is melted and cast into ' N ' small solid spheres, each of radius 3 cm, and ' N + 2 ' small solid cuboids, each of dimensions 4 cm × 4 cm × 6.5 cm. If the length of each side of the large solid cube is 12 cm, then find the value of 'N'. [Use $\left.\pi=\frac{22}{7}\right]$
Option 1: 8
Option 2: 5
Option 3: 7
Option 4: 6
Correct Answer: 7
Solution : According to the question, Volume of cube = volume of N-solid spheres + Volume of (N + 2) small cuboids ⇒ $12 \times 12 \times 12 =[ N \times \frac{4}{3}\times\pi\times 3^3] + [(N + 2)(4 \times 4 \times 6.5)]$ ⇒ $1728 = 36N\pi + 104N
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