Staff Selection Commission Combined Graduate Level Exam
Question : Two concentric circles are of radii 10 cm and 6 cm. Find the length of the chord of the larger circle which touches the smaller circle.
Option 1: 8 cm
Option 2: 16 cm
Option 3: 12 cm
Option 4: 9 cm
Correct Answer: 16 cm
Solution :
We have, OB = 10 cm and OD = 6 cm Radius perpendicular to the tangent. $\angle ODB$ = 90º Using Pythagoras' theorem in $\triangle ODB$ OB2 = OD2 + BD2 ⇒ 102 = 62 + BD2 ⇒
Question : A student's marks were wrongly entered as 65 instead of 45. Due to this, the average marks for the class got increased by $\frac{1}{3}$. The number of students in the class is:
Option 1: 40
Option 2: 20
Option 3: 60
Option 4: 30
Correct Answer: 60
Solution : Let $n$ be the total number of students and $x$ be the average when the mark is counted as 45. The average when the mark is counted as 65 is $x+\frac{1}{3}$ Now, $x$ = $\frac{\text{total marks of (n-1)students + 45}}{n}$ ⇒ Total marks of $(n-1)$
Question : Select the most appropriate ANTONYM of the underlined word.
He was compelled by everyone to join the group.
Option 1: Demur
Option 2: Obscured
Option 3: Confessed
Option 4: Induced
Correct Answer: Induced
Solution : The correct choice is the fourth option.
Induced means to succeed in persuading or leading someone to do something opposite to what compelled means. Compelled means force or oblige (someone) to do something.
The meanings of the other options are as follows:
Question : Which food requires a longer small intestine to digest food?
Option 1: Lamb
Option 2: Eggs
Option 3: Grass
Option 4: Chicken
Correct Answer: Grass
Solution : The correct option is Grass.
The length of the small intestine in animals, including humans, is generally related to their diet. Animals that consume a primarily herbivorous diet, such as grass and other plant materials, often have longer small intestines compared to carnivores.
This
Question : A boat moves downstream at a rate of 8 km/hr and upstream at 4 km/hr. The speed of the boat in still water is:
Option 1: 4.5 km/hr
Option 2: 5 km/hr
Option 3: 6 km/hr
Option 4: 6.4 km/hr
Correct Answer: 6 km/hr
Solution : Given: A boat moves downstream at a rate of 8 km/hr and upstream at 4 km/hr. We know, the speed of the boat in still water $=\frac{\text{(Downstream speed + Upstream speed)}}{2}=\frac{(8+4)}{2}=\frac{12}{2}$ = 6 km/hr Hence, the correct answer is 6 km/hr.
Question : Select the option that can be used as a one-word substitute for the given group of words.
To give up completely or agree to forgo, especially in favour of another
Option 1: Waive
Option 2: Forfeit
Option 3: Surrender
Option 4: Cosign
Correct Answer: Surrender
Solution : The correct choice is the third option.
The word surrender encompasses the act of giving up or yielding to someone or something, often in response to a force, pressure, or circumstance.
It involves relinquishing control, authority, or possession, especially when faced with a situation
Question : Identify an application in which solar cells are not used.
Option 1: Radio
Option 2: Space probes
Option 3: Lift system
Option 4: Artificial satellites
Correct Answer: Lift system
Solution : The correct option is the Lift system.
The lift system does not require solar cells to operate. It works on a combination of mechanical, electrical, and control systems. This system contains a cab that is connected to ropes, cables, or a hydraulic mechanism. Radio,
Question : Which of the following is an indirect tax?
Option 1: Capital gains tax
Option 2: Goods and services tax
Option 3: Wealth tax
Option 4: Gift tax
Correct Answer: Goods and services tax
Solution : The correct answer is the Goods and services tax.
A tax on goods and services is known as the goods and services tax or GST. It is an indirect tax that was put in place to take the place of several
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.) Paint : Art :: Prose : ?
Option 1: Music
Option 2: Literature
Option 3: Drama
Option 4: Theatre
Correct Answer: Literature
Solution : Given: Paint : Art :: Prose : ?
Like, Paint is a form of Art. Similarly, Prose is a form of expression in Literature.
Hence, the second option is correct.
Question : The optimum dissolved oxygen level ( in mg / litre ) required for survival of aquatic organisms is:
Option 1: 4 - 6
Option 2: 2 - 4
Option 3: 8 - 10
Option 4: 12 - 16
Correct Answer: 4 - 6
Solution : The correct option is - 4 - 6
Fish and other aquatic species might die when there is not enough oxygen in the water. Water should have at least 4 mg/L of dissolved oxygen to support living things. Nearly all aquatic creatures can
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