Staff Selection Commission Combined Graduate Level Exam
Question : A prism has a regular hexagonal base with a side of 6 cm. If the total surface area of the prism is 216$\sqrt3$ cm2, then what is the height (in cm) of the prism?
Option 1: $3\sqrt3$
Option 2: $6\sqrt3$
Option 3: $6$
Option 4: $3$
Correct Answer: $3\sqrt3$
Solution : Given: Side, $a$ = 6 cm Let the height be $h$. Area of the base of the hexagonal prism $=6 \times \frac{\sqrt3}{4}a^2=6 \times \frac{\sqrt3}{4} \times 6^2 = 54\sqrt3$ Total curved surface area of prism = 2 × (Area of base) + 6 × (Side of
Question : Select the INCORRECTLY spelt word.
Option 1: Reasonable
Option 2: Laughable
Option 3: Blessed
Option 4: Prophane
Correct Answer: Prophane
Solution : The correct choice is the fourth option.
The incorrectly spelt word is prophane. The correct spelling is profane. It means "showing disrespect or contempt for sacred things".
The meanings of the other options are as follows:
Question : Select the sentences that contain no spelling errors.
Option 1: My mother asked me to purchase two bread knives having serrated edges.
Option 2: My mother asked me to purchase two bread knives having seerated edges.
Option 3: My mother asked me to purchase two bread knives having serratted edges.
Option 4: My mother asked me to purchase two bread knives having serated edges.
Correct Answer: My mother asked me to purchase two bread knives having serrated edges.
Solution : The correct option is the first option.
Explanation The sentence is well-structured and uses the correct spelling for each word, conveying the clear message that your mother wants you to buy two knives specifically
Question : Which festival has the meaning 'to boil' or 'boiling' in its name?
Option 1: Pongal
Option 2: Onam
Option 3: Raja
Option 4: Bihu
Correct Answer: Pongal
Solution : The correct answer is Pongal.
A harvest celebration known as Pongal is observed by the Tamil population. Pongal, which is observed over four days, ushers in the Tamil month of Thai, which is seen as fortunate. Every year, it usually occurs on January 14 or
Question : Select the option that can be used as a one-word substitute for the given group of words. A person who gives help and sympathy to people who need it.
Option 1: Preacher
Option 2: Moralist
Option 3: Samaritan
Option 4: Pardoner
Correct Answer: Samaritan
Solution : The correct answer is the third option.
A person who gives help and sympathy to those in need, especially someone who provides assistance to strangers or those facing difficulties. This term is derived from the biblical parable of the Good Samaritan.
The meanings of the
Question : Directions: Select the option that is related to the third word in the same way as the second word is related to the first word. (The words must be considered meaningful English words and must not be related to each other based on the number of letters/number of consonants/vowels in the word.) Dog : Bitch :: Stallion : ?
Option 1: Doe
Option 2: Mare
Option 3: Goose
Option 4: Vixen
Correct Answer: Mare
Solution : Given: Dog : Bitch :: Stallion : ?
Like, the female of a dog is Bitch. Similarly, the Stallion is the male horse and the female horse is known as the Mare.
Hence, the second option is correct.
Question : Select the most appropriate option to substitute the underlined segment in the given sentence. If there is no need to substitute it, select ‘No substitution’. She lived in well-resourced surroundings.
Option 1: luxurious
Option 2: luxuriousness
Option 3: luxury
Option 4: No substitution
Correct Answer: luxurious
Explanation: Luxurious best fits the context of describing opulent or lavish surroundings, indicating a high level of comfort and wealth. The sentence implies that she lived in surroundings that were well-equipped or affluent, indicating a level of luxury
Question : Directions: Some equations have been solved using the same pattern of a certain system. Find out the correct answer for the unsolved equation using the same pattern. If 4 × 5 × 2 = 524, 3 × 7 × 2 = 723, 6 × 8 × 7 = 876, then, 9 × 4 × 5 = ?
Option 1: 495
Option 2: 459
Option 3: 549
Option 4: 954
Correct Answer: 459
Solution : Given: 4 × 5 × 2 = 524, 3 × 7 × 2 = 723, 6 × 8 × 7 = 876
The first number moves to the third position, the second number moves to the first position, and the third number moves to the
Question : Two numbers are 90% and 75% less than a third number. By what percentage should the first number be increased so that it becomes equal to the second number?
Option 1: 250
Option 2: 200
Option 3: 150
Option 4: 100
Correct Answer: 150
Solution : Given: Two numbers are 90% and 75% less than a third number. Let the third number be 100. Now, the first and second numbers are 90% and 75% less than the third number. So, the first number = (100 – 100 × $\frac{90}{100}$) = 10
Question : The surface area of a sphere is 221.76 cm2. Its volume (in cm3) is (correct to one decimal place): (Take $\pi=\frac{22}{7}$)
Option 1: 315.6
Option 2: 289.8
Option 3: 280.4
Option 4: 310.5
Correct Answer: 310.5
Solution : The total surface area of the sphere = $4\pi r^2$ Where, $r$ = radius of the sphere According to the question, we have $4\pi r^2 = 221.76$ $⇒4 \times (\frac{22}{7}) \times r^2 = 221.76$ $⇒ r^2 = 17.64$ $\therefore r = 4.2\ \text{cm}$ Now, The
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