Staff Selection Commission Combined Graduate Level Exam
Question : A copper sphere of diameter 18 m is drawn into a cylindrical wire of length 12 m. What is the radius of the wire?
Option 1: 5 m
Option 2: 9 m
Option 3: 3 m
Option 4: 12 m
Correct Answer: 9 m
Solution : Diameter of copper sphere = 18 m Radius ($R$) = $\frac{18}{2}$ = 9 m Volume of copper sphere = $\frac{4}{3}×\pi×R^3$ = $\frac{4}{3}×\pi×9^3$ = $972\pi$ Since the volume is the same, Volume of cylinder wire = $\pi r^2h$ ⇒ $972\pi = \pi×r^2×12$ ⇒ $r^2 =
Question : If a : b = c : d, then which of the following ratios is equal to a : c?
Option 1: a : d
Option 2: b : c
Option 3: a + d : b + c
Option 4: a + b : c + d
Correct Answer: a + b : c + d
Solution : $a : b = c : d$ ⇒ $\frac{a}{b}$ = $\frac{c}{d}$ ⇒ $\frac{a}{b}$ + 1 = $\frac{c}{d}$ + 1 ⇒ $\frac{a+b}{b}$ = $\frac{c+d}{d}$ ⇒ $\frac{b}{d}$ = $\frac{a+b}{c+d}$ So, b : d = (a + b) : (c + d)
Question : What is the third proportional number to 10 and 20?
Option 1: 30
Option 2: 25
Option 3: 50
Option 4: 40
Correct Answer: 40
Solution : Let the third proportional be $x$. So, $a:b::b:x$ ⇒ $10:20::20:x$ ⇒ $\frac{10}{20}=\frac{20}{x}$ ⇒ $x=\frac{400}{10}$ = 40 Hence, the correct answer is 40.
Question : In computer processing,__________ selects processes from the pool and loads them into memory for execution.
Option 1: Job Scheduler
Option 2: Resource Scheduler
Option 3: CPU Scheduler
Option 4: Process Scheduler
Correct Answer: Job Scheduler
Solution : The correct answer is Job Scheduler.
A job scheduler is a special sort of scheduler that is used to oversee the execution of batch processes. Batch jobs are non-interactive, long-running jobs that are submitted to the scheduler for execution at a later time. Data
Question : Directions: In this question, a part of the sentence is in bold. Below are given alternatives to the bold part at (1), (2), and (3) which may improve the sentence. Choose the correct alternative. In case, no improvement is needed your answer is (4).
At the sound of footsteps, he turned round fast really.
(1) real fast
(2) real fastly
(3) real faster
(4) No Improvement
Option 1: (1)
Option 2: (2)
Option 3: (3)
Option 4: (4)
Correct Answer: (1)
Solution : The correct choice is the first option.
The phrase real fast means to turn around quickly, and in the sentence, it means that when the person heard footsteps, he quickly turned his body in the opposite direction to see who was approaching.
Real fastly
Question : Directions: Select the option that is related to the fifth number in the same way as the second number is related to the first number and the fourth number is related to the third number. 750 : 5 :: 384 : 4 :: 3072 : ?
Option 1: 8
Option 2: 9
Option 3: 6
Option 4: 7
Correct Answer: 8
Solution : Given: 750 : 5 :: 384 : 4 :: 3072 : ?
Like, (5)3 × 6 = 125 × 6 = 750 (4)3 × 6 = 64 × 6 = 384 Similarly, (?)3 × 6 = 3072 ⇒ (?)3 = 512
Question : Select the most appropriate option to improve the underlined segment in the given sentence. If there is no need to improve it, select ‘No improvement’. I bet you can’t beat me by chess.
Option 1: No improvement
Option 2: in the chess
Option 3: on chess
Option 4: at chess
Correct Answer: at chess
Solution : The fourth option is the correct choice.
Question : Direction: In this question, a word is represented by only one set of numbers as given in any one of the alternatives. The sets of numbers given in the alternatives are represented by two classes of alphabets as in the two matrices, given below. The columns and rows of Matrix (I) are numbered from 0 to 4 and that of Matrix (II) is numbered from 5 to 9. A letter from these matrices can be represented first by its row and next by its column, e.g. 'O' can be represented by 03,11, etc., and 'F' can be represented by 55, 68, etc. Similarly, you have to identify the set for the word.
'BEAD'
Option 1: 97, 32, 14, 56
Option 2: 88, 41, 20, 57
Option 3: 57, 32, 41, 87
Option 4: 75, 14, 20, 57
Correct Answer: 57, 32, 41, 87
Solution : Given: BEAD
Number representations of each letter: B → 65, 96, 57, 88, 79 E → 20, 01, 32, 43, 14 A → 10, 41, 02, 33, 24 D → 75, 56, 87, 69, 99
First option: 97, 32, 14, 56
Question : Comprehension: In the following passage, some words have been deleted. Read the passage carefully and select the most appropriate option to fill in each blank. Deforestation, wildfires, and pollution cause animals (1) _________lose their homes. Animals may be (2) _________ by their surroundings. Most individuals are (3) __________ that they are taking down an animal's home when they cut down trees for wood. Animal (4)___________ is also lost as a result of wildfires. The main causes of an animal becoming (5)_________ are poaching and smuggling. Pollution is extremely harmful to animals and their environments. Animals are interested and try to eat the pollution-causing things. Furthermore, some rivers and natural resources are becoming polluted, forcing animals to relocate. Question: Select the most appropriate option to fill in the blank number 3.
Option 1: apprehensive
Option 2: unaware
Option 3: bad
Option 4: conscious
Correct Answer: unaware
Solution : The most appropriate option is the second option.
Unaware fits contextually, indicating that most individuals are not aware that they are taking down an animal's home when they cut down trees for wood. It aligns with the idea that they lack awareness of the consequences
Question : “A History of British India” is a work published by ______.
Option 1: Lord Canning
Option 2: Lord Dalhousie
Option 3: James Mill
Option 4: Warren Hastings
Correct Answer: James Mill
Solution : The correct option is James Mill.
A History of British India is a comprehensive historical work authored by James Mill, a Scottish historian and philosopher. The book first went on sale in several volumes between 1817 and 1818.
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