Staff Selection Commission Multi Tasking Staff Exam
Question : The two numbers are in the ratio of 5 : 3. If 9 is subtracted from each, then the new ratio is 9 : 5. What are the two numbers?
Option 1: 50 and 30
Option 2: 45 and 27
Option 3: 90 and 54
Option 4: 15 and 45
Correct Answer: 90 and 54
Solution : Let the numbers be $5x$ and $3x$ According to the question, $\frac{5x–9}{3x–9} = \frac{9}{5}$ ⇒ $25x–45 = 27x–81$ ⇒ $36 = 2x$ ⇒ $x = \frac{36}{2}$ ⇒ $x = 18$ Thus, the numbers are $(5 × 18) = 90$ and $(3 × 18)
Question : A helmet is sold for INR 1,650 at a profit of 10%. If the selling price is INR 2,100, then what will be the profit percentage?
Option 1: 30%
Option 2: 25%
Option 3: 40%
Option 4: 60%
Correct Answer: 40%
Solution : Profit% = $\frac{\text{Selling Price-Cost Price}}{\text{Cost Price}}\times 100$ Let's denote the cost price of the helmet as CP helmet is sold for INR 1,650 at a profit of 10% ⇒ Selling Price = Cost Price + Profit = 1,650 = CP + 0.10 × CP ⇒
Question : Select the word segment that substitutes (replaces) the bracketed word segment correctly and completes the sentence meaningfully. Select the option 'no correction required' if the sentence is correct as given. He (returned back) Cambridge shortly before three o'clock.
Option 1: showed
Option 2: No correction required
Option 3: appeared
Option 4: reached
Correct Answer: reached
Solution : The fourth option is the correct answer.
The word reached appropriately conveys the idea of arriving at a destination, which aligns with the context of the sentence. The term returned back is redundant, as returned implies coming or going back.
Therefore, the correct sentence should
Question : Select the option that will improve the underlined part of the sentence. In case no improvement is needed, select ‘No improvement required’.
Why are you looking on my. face like this?
Option 1: looked at my
Option 2: No improvement required
Option 3: looking on mine
Option 4: looking at my
Correct Answer: looking at my
Solution : The correct choice is the fourth option.
The correct preposition to be used is at, as it is used with verbs like "look" that involve directing one's gaze or attention towards a specific thing., which in this case is the face.
Question : A number is increased by 30% and then the increased number is decreased by 30%. The net increase or decrease is:
Option 1: 12% increase
Option 2: 9% decrease
Option 3: 15% decrease
Option 4: 30% increase
Correct Answer: 9% decrease
Solution : Let the number be 100. ⇒ Number after 30% increase = 100 + 30% of 100 = 130 ⇒ Number after 30% decrease = 130 – 30% of 130 = 91 So, overall change in the number = 100 – 91 = 9 $\therefore$
Question : Choose the incorrectly spelt word.
Option 1: Lattar
Option 2: Critical
Option 3: Mastery
Option 4: Loudly
Correct Answer: Lattar
Solution : The correct choice is the first option.
Among the options given, lattar is the misspelt word, which contains the wrong vowel "a" in the second last position in place of "e". The correct spelling of that word is latter, which is used to refer
Question : If P : Q : R = 4 : 7 : 9 and R : S = 2 : 5, then what is the value of P : S?
Option 1: 8 : 45
Option 2: 1 : 5
Option 3: 9 : 57
Option 4: 10 : 43
Correct Answer: 8 : 45
Solution : Given, P : Q : R = 4 : 7 : 9 and R : S = 2 : 5 According to the question, (from the given ratios) ⇒ P : S = $\frac{P}{R}$ × $\frac{R}{S}$ = $\frac{4}{9}$ × $\frac{2}{5}$ = $\frac{8}{45}$ =
Question : Directions: Which of the following numbers will replace the question mark (?) in the given series? 8, 24, 40, 56, 72, 88, 104, ?
Option 1: 220
Option 2: 320
Option 3: 420
Option 4: 120
Correct Answer: 120
Solution : Given: 8, 24, 40, 56, 72, 88, 104, ?
Add 16 to each number of the series to get the next number. 8 + 16 = 24; 24 + 16 = 40; 40 + 16 = 56; 56 + 16 = 72; 72 + 16
Question : Directions: Select the option figure that will replace the question mark (?) in the figure given below to complete the pattern (Rotation is NOT allowed).
Option 1:
Option 2:
Option 3:
Option 4:
Correct Answer:
Solution : On comparing the question figure and all the answer figures, the following figure will combine and make the complete pattern –
Hence, the third option is correct.
Question : The Census of India provides us with information regarding ______.
Option 1: industrial production
Option 2: pollution
Option 3: food security
Option 4: the population
Correct Answer: the population
Solution : The correct option is the population.
Comprehensive demographic and socioeconomic information about India's population is provided by the Census of India. It takes place every ten years and covers a lot of ground. The census yields the aggregate population of India as well as
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