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Staff Selection Commission Combined Graduate Level Exam

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Question : If the volume of a sphere is 24,416.64 cm3, find its surface area (take $\pi$ = 3.14) correct to two places of decimal.

Option 1: 3069.55 cm2

Option 2: 4069.44 cm2

Option 3: 5096.66 cm2

Option 4: 6069.67 cm2

Team Careers360 17th Jan, 2024

Correct Answer: 4069.44 cm2


Solution : Let the radius of the sphere be $r$.
Volume of sphere = 24416.64 cm3
$⇒\frac{4}{3} \pi r^3 $ = 24416.64 cm3
$\therefore r$ = $\sqrt[3]{\frac{24416.64 × 3}{4 × 3.14}}$ = 18 cm
The surface area of the sphere
= $4\pi r^2$

63 Views

Question : Directions: Select the option that is related to the fifth letter cluster in the same way as the second letter cluster is related to the first letter cluster and the fourth letter cluster is related to the third letter cluster.
BPX : ENB :: KUW : NSA :: FOY : ?

Option 1: CQU

Option 2: CQW

Option 3: IMB

Option 4: IMC

Team Careers360 10th Jan, 2024

Correct Answer: IMC


Solution : Given:
BPX : ENB :: KUW : NSA :: FOY : ?

Add 3 and 4 to the place value of the first and third letters and subtract 2 from the place value of the second letter of BPX to obtain the required letter cluster

18 Views

Question : During whose Viceroyalty, the capital of India was shifted from Calcutta to Delhi?

Option 1: Lord Canning

Option 2: Lord Hardinge

Option 3: Lord Lytton

 

 

 

 

 

 

 

 

 

 

Option 4: Lord Clive

Team Careers360 11th Jan, 2024

Correct Answer: Lord Hardinge


Solution : The correct answer is Lord Hardinge.

When Delhi was chosen as the new capital of British India in 1911, it was relocated from Calcutta. The decision was taken while Lord Hardinge served as Viceroy of India. Many feel that this change hampered Kolkata's growth

9 Views

Question : Select the most appropriate ANTONYM of the underlined word.

She chided her son for being impatient with the customers.

Option 1: reproved

Option 2: scolded

Option 3: applauded

Option 4: rebuked

Team Careers360 13th Jan, 2024

Correct Answer: applauded


Solution : The correct option is the third option.

Explanation: Chided means scolded or reprimanded, while applauded means praised or expressed approval. In this context, the antonym applauded is the opposite of chided. 

The meanings of the other options are as follows:

Reproved means to be

15 Views

Question : Direction: Which one of the following diagrams represents the correct relationship among pigeon, bird, dogs?

Option 1:

Option 2:

Option 3:

Option 4:

Team Careers360 22nd Jan, 2024

Correct Answer:


Solution : Pigeon is a type of bird, So, the circle of pigeon will be inside the circle of bird.

But there is not relationship between the dogs and the birds. So, the circles of the dogs and the birds will not intersect with each other.

Based on

13 Views

Question : If a 10% loss is made on the selling price, the percentage of loss on the cost price will be:

Option 1: $11\frac{1}{9}\%$

Option 2: $9\frac{1}{11}\%$

Option 3: $10\%$

Option 4: $11\%$

Team Careers360 17th Jan, 2024

Correct Answer: $9\frac{1}{11}\%$


Solution : Let the selling price be Rs. 100.
And loss = 10% of the selling price = Rs. 10
We know that CP = SP + Loss, where CP is the cost price, and SP is the selling price.
So, the CP = 110
Loss %

110 Views

Question : A train travels at a speed of 18 m/s in the first 5 minutes, covers 7.5 km in the next 10 minutes and covers 12 km in another 10 minutes. What is its average speed (in km/h, rounded off to 1 decimal place) for the entire journey?

Option 1: 59.8

Option 2: 71.2

Option 3: 45.7

Option 4: 64.6

Team Careers360 11th Jan, 2024

Correct Answer: 59.8


Solution : Speed of train in the first 5 minutes = 18 m/s
Distance travelled by train in next 10 mins = 7.5 km
Distance travelled by train in next 10 mins = 12 km
Distance = Speed $\times$ Time
Distance travelled by train in the first

15 Views

Question : Some equations are solved on the basis of certain system. On the same basis find out the correct answer for the unsolved equation.

4\, -\, 5\, -\, 1\, =\, 514,\, 3\, -\, 5\, -\, 6\, =\, 563,\, 0\, -\, 6\, -\, 8\, =\, ?

Option 1: 680

Option 2: 860

Option 3: 068

Option 4: 806

Team Careers360 22nd Jan, 2024

Correct Answer: 680


Solution : Given: 4–5–1= 514, 3–5–6= 563, then 0–6–8=?

Here,

In 4–5–1= 514, the second digit come in first, third digit come in second and first digit come in third.

In 3–5–6= 563, the second digit come in first, third digit come in second and first digit

11 Views

Question : Directions: In the following question a series is given, with one term missing. Choose the correct alternative from the given ones that will complete the series.
6, 10, 18, 34, ?, 130

Option 1: 78

Option 2: 52

Option 3: 66

Option 4: 94

Team Careers360 10th Jan, 2024

Correct Answer: 66


Solution : Given:
6, 10, 18, 34, ?, 130 

In the given series, the difference between the numbers is double the difference between the previous numbers.
6 + 4 = 10; 
10 + (4 × 2) = 10 + 8 = 18; 
18 + (8 × 2)

189 Views

Question : The mean proportion between 7 and 112 is:

Option 1: 42

Option 2: 28

Option 3: 21

Option 4: 14

Team Careers360 15th Jan, 2024

Correct Answer: 28


Solution : The mean proportion of two numbers is equal to the square root of the product of two quantities in a ratio.
Let $x$ be the mean proportion of 7 and 112.
Then, $x$ = $\sqrt {7 × 112}$
⇒ $x$ = $\sqrt {7 × 7

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