Staff Selection Commission Combined Graduate Level Exam
Question : The radius of the base of a solid cone is 9 cm, and its height is 21 cm. It was cut into three parts by two cuts, which were parallel to its base. The cuts are at a height of 7 cm and 14 cm from the base, respectively. What is the ratio of the curved surface area of the top, middle, and bottom parts, respectively?
Option 1: $1 : 4: 8$
Option 2: $1 : 3: 5$
Option 3: $1 : 3: 9$
Option 4: $1: 6: 12$
Correct Answer: $1 : 3: 5$
Solution : Given: Radius = 9 cm, height = 21 cm Two cuts at h = 7 cm and 14 cm Height will be divided into 3 parts and the height for three cones will be 7 cm, 14 cm, and 21 cm. $\therefore$
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 police fired on the mob when they _____________.
Option 1: turned violent
Option 2: fizzled out
Option 3: became abusive
Option 4: turned noisy
Correct Answer: turned violent
Solution : The correct answer is in option one.
The correct sentence is: The police fired on the mob when they turned violent.
This means that the mob became aggressive and unruly, and the police felt it was necessary to use force to subdue them.
Question : Select the most appropriate option to fill in the blank. The management wants to ______________ restrictions at the workplace.
Option 1: break
Option 2: impose
Option 3: settle
Option 4: encourage
Correct Answer: impose
Solution : The second option is correct.
The sentence is structured correctly with the subject (the management), the verb phrase (wants to impose), and the object (restrictions at the workplace). Impose is the appropriate verb here, indicating the management's intention to
Question : Two tourist buses start from the same point and move along two roads at right angles at speeds of 48 km/hr and 36 km/hr, respectively. The distance between the buses after 15 seconds is ________.
Option 1: 175 m
Option 2: 350 m
Option 3: 250 m
Option 4: 150 m
Correct Answer: 250 m
Solution : Speed of Bus A = 48 km/hr = $48×\frac{5}{18}=\frac{40}{3}$ m/s Speed of bus B = 36 km/h = $36×\frac{5}{18}=10$ m/s Distance covered by bus A in 15 sec ⇒ Distance = $\frac{40}{3}$ × 15 = 200 m Distance covered by bus B in 15
Question : The radius of a large solid sphere is 14 cm. It is melted to form 8 equal small solid spheres. What is the sum of the total surface areas of all 8 small solid spheres? (use $\pi=\frac{22}{7}$)
Option 1: 3648 cm2
Option 2: 4928 cm2
Option 3: 4244 cm2
Option 4: 4158 cm2
Correct Answer: 4928 cm2
Solution : Given: The radius of a large solid sphere is 14 cm. The volume of the sphere of radius $r$ is $\frac{4}{3}\times \frac{22}{7}\times r^3$. Its total surface area is $4\times \frac{22}{7}\times r^2$. The volume of a large solid sphere is $\frac{4}{3}\times \frac{22}{7}\times (14)^3=11499$ cm
Question : In an examination, B obtained 20% more marks than those obtained by A, and A obtained 10% fewer marks than those obtained by C. D obtained 20% more marks than those obtained by C. By what percentage are the marks obtained by D more than those obtained by A?
Option 1: $33 \frac{1}{3} \%$
Option 2: $13 \frac{1}{3} \%$
Option 3: $43 \frac{1}{3} \%$
Option 4: $23 \frac{1}{3} \%$
Correct Answer: $33 \frac{1}{3} \%$
Solution : Given: B obtained 20% more marks than A. A obtained 10% less marks than C. D obtained 20% more marks than C Let the marks obtained by C be $x$. Marks obtained by D $=x\times \frac{120}{100}=\frac{6x}{5}$ Marks obtained by A $=x\times \frac{90}{100}=\frac{9x}{10}$ The
Question : Select the most appropriate ANTONYM of the underlined word to fill in the blank. Instead of becoming joyous to hear the breaking news, she became _________.
Option 1: melancholic
Option 2: vengeful
Option 3: ecstatic
Option 4: exuberant
Correct Answer: melancholic
Solution : The correct choice is the first option.
Melancholic means a feeling of pensive sadness and is the antonym for "joyous" in the given sentence.
The meanings of the other options are as follows:
Question : Select the option that expresses the given sentence in active voice.
Walking zones have been demarcated using paints and cones by the municipal corporation.
Option 1: Walking zones are demarcating the municipal corporation using paints and cones.
Option 2: The municipal corporation has demarcated walking zones using paints and cones.
Option 3: The municipal corporation will demarcate walking zones using paints and cones.
Option 4: The municipal corporation is demarcating walking zones using paints and cones.
Correct Answer: The municipal corporation has demarcated walking zones using paints and cones.
Solution : The correct option is the second option.
Explanation: Active voice in a sentence places the subject at the forefront, acting, while the object follows as the receiver of that action. In an active sentence, the
Question : In 1918, Mahatma Gandhi went to ______ to organise a satyagraha movement amongst cotton mill workers.
Option 1: Madras
Option 2: Bombay
Option 3: Surat
Option 4: Ahmedabad
Correct Answer: Ahmedabad
Solution : Correct Answer is Ahmedabad
Following his victory in Champaran, Gandhi Ji stepped in to mediate a conflict between cotton mill employees and owners in Ahmedabad. The point of disagreement was the plague bonus, which owners sought to eliminate but workers demanded. Along with it, workers
Question : Rohan sold goods to Ankit worth Rs. 55,000 at a 15% trade discount. How much money did Ankith pay to Rohan?
Option 1: Rs. 8,250
Option 2: Rs. 12,550
Option 3: Rs. 22,550
Option 4: Rs. 46,750
Correct Answer: Rs. 46,750
Solution : Rohan sold goods to Ankit worth Rs. 55,000 at a 15% trade discount. The amount Ankit paid $=55000 × \frac{(100 - 15)}{100}=46750$ Hence, the correct answer is Rs. 46,750.
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