Staff Selection Commission Combined Graduate Level Exam
Question : Which of the following will satisfy $a^2 = b^2 + (ab)^2$ for the values $a$ and $b$?
Option 1: $a = \sin x \text{ and } b= \cot x$
Option 2: $a = \cos x \text{ and } b = \tan x$
Option 3: $a = \cot x \text{ and } b = \cos x$
Option 4: $a = \sin x \text{ and } b = \tan x$
Correct Answer: $a = \cot x \text{ and } b = \cos x$
Solution : Put $b=\cos x$ and $a=\cot x$ in $a^2 = b^2 + (ab)^2$ to verify the relation. $\cos^2 x + ( \cot x \cos x)^2$ $= \cos^2 x ( 1+ \cot^2 x)$ $= \cos^2 x ×
Question : Who profounded the theory of 'Economic Drain of India ' during British imperialism?
Option 1: W.C. Bannerji.
Option 2: Dadabhai Naroji .
Option 3: Gopal Krishna Gokhale .
Option 4: Gandhiji
Correct Answer: Dadabhai Naroji .
Solution : The correct option is - Dadabhai Naroji .
The Drain of Wealth theory was first put forth by Dadabhai Naoroji in 1867. Due to his six decades of involvement in the Indian national movement, he was known as the Grand Old Man of
Question : Select the INCORRECTLY spelt word.
Option 1: Laproscopy
Option 2: Generate
Option 3: Intermittent
Option 4: Guise
Correct Answer: Laproscopy
Solution : The correct choice is the first option.
The correct spelling of the medical term is laparoscopy. The misspelling is that there should be an "a" after "p", which makes it incorrect. The correct spelling refers to a surgical procedure that uses a laparoscope
Question : Directions: In the following question, out of the four alternatives, select the alternative that will improve the bold part of the sentence. In case no improvement is needed, select "No Improvement."
One day the hare began to make fun of the tortoise as it moved slowly.
(1) mock
(2) shout at
(3) No Improvement
(4) torture
Option 1: (1)
Option 2: (2)
Option 3: (3)
Option 4: (4)
Correct Answer: (1)
Solution : The sentence can be improved using the first option "mock".
"Mock" refers to imitating someone in a way that might be derisive and it is done with the intent to ridicule or criticise, whereas "make fun of" involves finding amusement at someone's expense, which may
Question : Directions: The distance between the two cities is 30 km. A man goes at a speed of 30 km per hour and returns at 20 km per hour. What is his average speed?
Option 1: 25 km/hr
Option 2: 24 km/hr
Option 3: 10 km/hr
Option 4: 26 km/hr
Correct Answer: 24 km/hr
Solution : Given: Distance to be travelled = 30km Speed A = 30km/hr, Speed B = 20km/hr
When the distance is constant, then the average speed = $\frac{2 × Speed A × Speed B}{Speed A + Speed B}$ = $\frac{2 × 30 × 20}{30 + 20}$
Question : What are the three parts of bacterial flagellum?
Option 1: Head, tail and lower body
Option 2: Filament, tail and hook
Option 3: Basal body, tail and filament
Option 4: Filament, hook and basal body
Correct Answer: Filament, hook and basal body
Solution : The correct option is Filament, hook and basal body.
The bacterial flagellum is a whip-like appendage that protrudes from the surface of certain bacteria, allowing them to move. It plays a crucial role in the bacterium's motility.
Filament: This is
Question : Select the option that expresses the given sentence in active voice.
A new gallery is being built inside the city stadium.
Option 1: They will build a new gallery inside the city stadium.
Option 2: They were building a new gallery inside the city stadium.
Option 3: They have been building a new gallery inside the city stadium.
Option 4: They are building a new gallery inside the city stadium.
Correct Answer: They are building a new gallery inside the city stadium.
Solution : The correct choice is the fourth option.
Explanation:
To transform a sentence from passive voice to active voice, identify the subject that is performing the action and make it the subject of the active sentence.
The
Question : Twenty-one times a positive number is less than its square. The value of the positive number is:
Option 1: 25
Option 2: 26
Option 3: 42
Option 4: 41
Correct Answer: 25
Solution : Let the number be x, According to the question x2 – 21x = 100 ⇒ x2 – 21x – 100 = 0 ⇒ x2 – 25x + 4x – 100 = 0 ⇒ x (x – 25) + 4 (x – 25)
Question : In a class of 60 students, there are 35 boys. The average weight of boys is 42 kg and the average weight of the full class is 46.5 kg. Find the average weight of girls in the class.
Option 1: 48.7 kg
Option 2: 49.7 kg
Option 3: 52.8 kg
Option 4: 56.7 kg
Correct Answer: 52.8 kg
Solution : Let the average weight of girls in the class be $x$ Given the average weight of boys = 42 kg Number of boys = 35 The average weight of the class = 46.5 kg Total number of students = 60 So, the number of
Question : Directions: Which of the following numbers will replace the question mark (?) in the given series? 11, 36, ?, 121, 185, 266
Option 1: 68
Option 2: 72
Option 3: 70
Option 4: 63
Correct Answer: 72
Solution : Given: 11, 36, ?, 121, 185, 266
Add the square of the consecutive numbers, (starting from 5) to the previous number to obtain the next number of the series. 11 + (5)2 = 11 + 25 = 36; 36 + (6)2 = 36
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