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Staff Selection Commission Combined Graduate Level Exam

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Question : If the square of the sum of three positive consecutive natural numbers exceeds the sum of their squares by 292, what is the largest of the three numbers?

Option 1: 5

Option 2: 6

Option 3: 3

Option 4: 8

Team Careers360 15th Jan, 2024

Correct Answer: 8


Solution : The consecutive natural numbers are a = (x – 1), b = x, and c = (x + 1).
According to the question,
(a + b + c)2 – (a2 + b2 + c2) = 292
⇒ a2 +

92 Views

Question : Acceptable "Noise Pollution Level" in India range between:

Option 1: 16 - 35 dec

Option 2: 40 - 45 dec

Option 3: 70 - 100 dec

Option 4: 10 - 15 dec

Team Careers360 19th Jan, 2024

Correct Answer: 40 - 45 dec


Solution : The correct answer is 40 - 45 dec.

The higher levels of sound which is derogatory to human health is known as noise pollution or sound pollution. Sound is measured in Decibels. Noise pollution is usually caused by the transport noises, machinery

14 Views

Question : The sum of the ages of the mother and her daughter is 60 years. 12 years ago, the mother was eight times as old as her daughter. How old is the daughter at present?

Option 1: 20 years

Option 2: 28 years

Option 3: 16 years

Option 4: 12 years

Team Careers360 25th Jan, 2024

Correct Answer: 16 years


Solution : Let the current age of the mother be $x$ and the daughter be $y$. 
The sum of their current ages is $60$ years,
⇒ $x+ y = 60$...(i)
$12$ years ago, the mother was eight times as old as the daughter.
⇒ $x -

38 Views

Question : A petrol tank is of length 50 m, breadth 25 m and depth 10 m. How many litres of petrol can be accommodated in the tank when filled?

Option 1: 1,25,00,000

Option 2: 12,50,000

Option 3: 1,25,000

Option 4: 12,500

Team Careers360 16th Jan, 2024

Correct Answer: 1,25,00,000


Solution : Volume of petrol tank = $l × b × h$
= 50 × 25 ×10
= 12500 m3
= 12500000 litres [1m3 = 1000 litres]
Hence, the correct answer is 1,25,00,000.

61 Views

Question : Select the correct direct form of the given sentence.
Shravan said that the prisoner had slept throughout the journey.

Option 1: Shravan said, "The prisoner sleeps throughout the journey."

Option 2: Shravan said, "The prisoner had been sleeping throughout the journey."

Option 3: Shravan says, "The prisoner has slept throughout the journey."

Option 4: Shravan said, "The prisoner had slept throughout the journey."

Team Careers360 14th Jan, 2024

Correct Answer: Shravan said, "The prisoner had slept throughout the journey."


Solution : The correct choice is the fourth option.

In direct speech, the reported words are directly quoted without any changes to the tense, pronouns, or other elements used in the reported speech.

The steps of conversion are

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Question : If $P=7+4\sqrt3$ and $PQ=1$, then what is the value of $\frac{1}{P^{2}}+\frac{1}{Q^{2}}$?

Option 1: 196

Option 2: 194

Option 3: 206

Option 4: 182

Team Careers360 20th Jan, 2024

Correct Answer: 194


Solution : Given: $PQ=1, P=7+4\sqrt3$
⇒ $Q=\frac{1}{P}$
⇒ $P^2=(7+4\sqrt3)^2=97+56\sqrt3$
Taking the inverse on both sides and rationalising the denominators,
⇒ $\frac{1}{P^2}={97 -56\sqrt{3}}$
⇒ $\frac{1}{P^2}+ \frac{1}{Q^2}= \frac{1}{P^2}+ {P^2}$
⇒ $\frac{1}{P^2}+ \frac{1}{Q^2}=(97 -56\sqrt{3} +97+56\sqrt{3})$
⇒ $\frac{1}{P^2}+ \frac{1}{Q^2}= 194$
Hence, the correct answer is 194.

20 Views

Question : In a school, there are 1500 students, 44% of whom are girls. The monthly fee for each boy is Rs. 540 and the fee for each girl is 25% less than that of a boy. The sum of the fees for both boys and girls is:

Option 1: Rs. 720600

Option 2: Rs. 720800

Option 3: Rs. 720900

Option 4: Rs. 721000

Team Careers360 22nd Jan, 2024

Correct Answer: Rs. 720900


Solution : Total number of students = 1500
44% of students are girls.
Therefore, the number of girls $=\frac{44}{100} × 1500 = 660$
The number of boys = 1500 – 660 = 840
The monthly fee for each boy = Rs. 540
The monthly fee for

30 Views

Question : Directions: Study the following bar graph and answer the question. The bar graph gives the annual rates of inflation in percentage for 1975 and 1987.

In the year 1987, the inflation rate in the Third World countries vis-à-vis the world jumped approximately by:

Option 1: 135%

Option 2: 126%

Option 3: 122%

Option 4: 200%

Team Careers360 17th Jan, 2024

Correct Answer: 126%


Solution : As per the given graph:
In the year 1987,
The rate of inflation in the Third World = 36.2
The rate of inflation in the World = 16
The change in the rate of inflation in the year 1987 for the Third World and the

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