Staff Selection Commission Combined Graduate Level Exam
Question : A starts from a point at a speed of 34 m/s. After 5 seconds, B starts chasing A from the same point at a speed of 44 m/s. What will be the distance travelled by B before A is caught by B?
Option 1: 748 m
Option 2: 862 m
Option 3: 675 m
Option 4: 549 m
Correct Answer: 748 m
Solution : Distance travelled in first 5 seconds = 34 × 5 = 170 m Relative speed of B = 44 – 34 = 10 m/s Time taken to catch A = $\frac{170}{10}$ = 17 s Distance travelled by B in 17s = 44 ×17 =
Question : Air quality depicting PM - 2.5 is more hazardous to:
Option 1: Archaeological Monuments
Option 2: National Parks
Option 3: Botanical Garden
Option 4: Old Men and Women
Correct Answer: Old Men and Women
Solution : The correct answer is Old Men and Women.
PM 2.5 or particulate matter which has a diameter less than 2.5 micrometres is a suspended air pollutant which is hazardous for human health specially old aged individuals. It enters the blood stream and
Question : If 91% of A is 39% of B, and B is x% of A, then the value of x is:
Option 1: $\frac{200}{3}$
Option 2: $\frac{700}{3}$
Option 3: $\frac{400}{3}$
Option 4: $\frac{500}{3}$
Correct Answer: $\frac{700}{3}$
Solution : Given: 91% of A is 39% of B Now, $\Rightarrow \frac{91}{100}\times A = \frac{39}{100}\times B$ $\Rightarrow \frac{A}{B} = \frac{3}{7}$ According to the question, $\Rightarrow \frac{Ax}{100} = B$ $\Rightarrow \frac{B}{A}\times 100 = x$ $\Rightarrow x =\frac{7}{3}\times 100$ $\therefore x = \frac{700}{3}$ Hence, the correct answer is
Question : Directions: In this question, a statement is followed by two courses of action, numbered I and II. You must assume everything in the statement to be true and based on the information given in the statement, decide which of the course of action/s logically follows for pursuing. Statement: Some serious mistakes were found in the technical section of the company. Courses of Action: I. An efficient technical team should be appointed to check the technical errors. II. A reason explanation notice should be issued to all the employees involved in the irregularities.
Option 1: Neither I nor II follows
Option 2: Only I follows
Option 3: Only II follows
Option 4: Both I and II follow
Correct Answer: Both I and II follow
Solution : Given: Statement: Some serious mistakes were found in the technical section of the company.
Let's analyse the courses of action – I. An efficient technical team should be appointed to check the technical errors – The statement here demands finding
Question : The perimeter of a Rhombus is 60 cm and one of its diagonal is 24 cm. The area of the Rhombus is:
Option 1: 108 sq.cm
Option 2: 216 sq.cm
Option 3: 432 sq.cm
Option 4: 206 sq.cm
Correct Answer: 216 sq.cm
Solution : Given: The perimeter of a Rhombus is 60 cm and one of its diagonals is 24 cm. Let $a$ cm and $b$ cm be the two diagonals of the Rhombus. Then, perimeter = $2\sqrt{a^2+b^2}$ ⇒ $60 = 2\sqrt{24^2+b^2}$ ⇒ $30 = \sqrt{60^2+b^2}$ ⇒ $576+b^2=900$
Question : ____ in a particular direction is velocity.
Option 1: Acceleration
Option 2: Displacement
Option 3: Speed
Option 4: Distance
Correct Answer: Speed
Solution : The correct answer is Speed.
Speed in a particular direction is known as velocity. Velocity requires both speed and the direction of movement. The SI unit of speed and velocity is metres per second. Speed is a scalar quantity, and velocity is a vector
Question : In a certain shop, the profit is 130% of the cost. If the cost increases by 28% and the selling price remains constant, then what is the profit percentage to the nearest whole number?
Option 1: 75%
Option 2: 60%
Option 3: 59%
Option 4: 80%
Correct Answer: 80%
Solution : Let the cost price be $x$. With 130% profit, selling price $=x + \frac{130}{100}x=2.3 x$ With a 28% increase in cost price, cost price $=x + \frac{28}{100}x=1.28x$ Now, Profit percentage = $\frac{\text{Selling price – Cost price}}{\text{Cost price}}×100$ = $\frac{2.3x - 1.28x}{1.28x}\times 100$ = $79.68\% \approx
Question : Select the most appropriate option that can substitute the underlined segment in the given sentence. If there is no need to substitute it, select 'No Substitution'. The rate of interest for the loan went out all our calculations.
Option 1: under all our calculations
Option 2: No Substitution
Option 3: beyond all our calculations
Option 4: besides all our calculations
Correct Answer: beyond all our calculations
Solution : The correct option is the third option.
Explanation: Beyond all our calculations imply that the rate of interest for the loan exceeded or surpassed what was expected or anticipated in the calculations. It emphasises that the rate of interest went further or
Question : Directions: In the following question, a sentence is given with a blank that is to be filled in with an appropriate word. Four alternatives are suggested; choose the correct alternative out of them as your answer.
The flight will land _______ six in this evening.
Option 1: in
Option 2: on
Option 3: at
Option 4: upon
Correct Answer: at
Solution : The correct choice is the third option.
Explanation: "At" is the correct preposition to use when specifying a particular time, as in "at six in the evening". It indicates the exact time at which the flight will land.
So, the sentence would be: "The flight
Question : Directions: A paper is folded and cut as shown below. How will it appear when unfolded.
Option 1:
Option 2:
Option 3:
Option 4:
Correct Answer:
Solution : When the given folded paper is unfolded, it will look like –
Hence, the fourth option is correct.
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