Staff Selection Commission Combined Graduate Level Exam
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
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 = $4\pi r^2$
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
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
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
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
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
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
Question : Direction: Which one of the following diagrams represents the correct relationship among pigeon, bird, dogs?
Option 1:
Option 2:
Option 3:
Option 4:
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
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: $11\%$
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 %
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
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
Question : Some equations are solved on the basis of certain system. On the same basis find out the correct answer for the unsolved equation.
Option 1: 680
Option 2: 860
Option 3: 068
Option 4: 806
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
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
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)
Question : The mean proportion between 7 and 112 is:
Option 1: 42
Option 2: 28
Option 3: 21
Option 4: 14
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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