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Staff Selection Commission Combined Graduate Level Exam

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Question : A farmer travelled a distance of 61 km in 9 hours. He travelled partly on foot at a speed of 4 km/hr and partly on bicycle at a speed of 9 km/hr. The distance travelled on foot is:

Option 1: 14 km

Option 2: 16 km

Option 3: 20 km

Option 4: 18 km

Team Careers360 23rd Jan, 2024

Correct Answer: 16 km


Solution : Let the time the farmer travelled on foot be $x$ hour.
Then at a speed of 4 km/hour, the distance travelled by him on foot = $4x$ km
Now the time the farmer travelled on bicycle = $(9-x) $ hours
and at a speed

8 Views

Question : Directions: Select the related letter cluster from the given alternatives.
ACXZ : BDWY :: CEVX : ?

Option 1: DFUZ

Option 2: DFUW

Option 3: DGUW

Option 4: DFUV

Team Careers360 24th Jan, 2024

Correct Answer: DFUW


Solution : Given:
ACXZ : BDWY :: CEVX : ?

Here, add 1 to the place value of the first and second letters and subtract 1 from the place value of the third and fourth letters of the given letter cluster.
Like, ACXZ : BDWY –
A

14 Views

Question : Directions: Three positions of a cube are shown below:

What will come on the two faces marked 1 and 2?

Option 1: θ and δ

Option 2: α and β

Option 3: θ and β

Option 4: θ and γ

Team Careers360 25th Jan, 2024

Correct Answer: α and β


Solution : Taking dice positions 1 and 3 with α as the common face. So, on moving in the clockwise direction from α, the following opposite pairs of faces will be formed –

As per the properties of the dice, the opposite faces of a

10 Views

Question : If $x^2-\frac{1}{x^2}=4 \sqrt{2}$, what is the value of $x^4-\frac{1}{x^4}?$

Option 1: $16 \sqrt{2}$

Option 2: $8\sqrt{2}$

Option 3: $24 \sqrt{2}$

Option 4: $32 \sqrt{2}$

Team Careers360 23rd Jan, 2024

Correct Answer: $24 \sqrt{2}$


Solution : $x^2-\frac{1}{x^2}=4 \sqrt{2}$
Squaring both sides, we get
$x^4+\frac{1}{x^4}-2=32$
⇒ $x^4+\frac{1}{x^4}=34$
Adding 2 on both sides, we get
$x^4+\frac{1}{x^4}+2=36$
⇒ ($x^2+\frac{1}{x^2})^2 =6^2$
⇒ $x^2+\frac{1}{x^2}=6$
Now,
$x^4-\frac{1}{x^4} = (x^2-\frac{1}{x^2} )(x^2+\frac{1}{x^2})$
$= 4 \sqrt{2}\times 6 =24\sqrt{2}$
Hence, the correct answer is $24\sqrt{2}$.

16 Views

Question : Directions: After interchanging the given two numbers and two signs what will be the values of equations (I) and (II) respectively?
+ and ×, 5 and 4
I. 4 + 6 × 5 – 7 ÷ 1
II. 5 × 3 – 4 + 8 ÷ 2

Option 1: –9, –8

Option 2: 30, –13

Option 3: 20, 6

Option 4: 27, –13

Team Careers360 24th Jan, 2024

Correct Answer: 27, –13


Solution : Given:
I. 4 + 6 × 5 – 7 ÷ 1
II. 5 × 3 – 4 + 8 ÷ 2

After interchanging the numbers and signs in the given equations, the equations become –
I. 5 × 6 + 4 – 7 ÷

24 Views

Question : Who was the first Viceroy of India?

Option 1: Lord Canning

Option 2: Lord Curzon

Option 3: Lord Wavell

Option 4: Lord Mountbatten

Team Careers360 22nd Jan, 2024

Correct Answer: Lord Canning


Solution : The correct option is Lord Canning.

Lord Canning was a British diplomat who held the positions of Governor-General and first Viceroy of India during the 1857 Indian uprising and when the East India Company's power was transferred to Queen Victoria's throne in 1858

22 Views

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.
Rita promised to come but she never turned_____.

Option 1: in

Option 2: out

Option 3: down

Option 4: up

Team Careers360 24th Jan, 2024

Correct Answer: up


Solution : The fourth option is the correct answer.

Turn in: Submit or hand over, typically referring to assignments or reports.

Turn out: Produce, assemble, or attend an event.

Turn down: Reject or refuse an offer or request.

Turn up: Appear or arrive, often unexpectedly.

Therefore, the

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