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Staff Selection Commission Combined Graduate Level Exam

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Question : What is the chromosome number in a human ovum ?
 

Option 1: 24

Option 2: 46

Option 3: 48

 

Option 4: None of these

Team Careers360 20th Jan, 2024

Correct Answer: None of these


Solution : The correct option is None of these.

A human ovum (egg cell) contains 23 chromosomes. When a sperm cell fertilises an egg cell, the resultant zygote has 46 chromosomes (23 pairs), with one set originating from each parent, which eventually develops into an

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Question : Given that the ratio of the altitude of two triangles is 4 : 5, the ratio of their areas is 3 : 2, the ratio of their corresponding bases is:

Option 1: 8 : 15

Option 2: 15 : 8

Option 3: 5 : 8

Option 4: 8 : 5

Team Careers360 2nd Jan, 2024

Correct Answer: 15 : 8


Solution : The area of a triangle $=\frac{1}{2} \times \text{base} \times \text{height}$
Given that the ratio of the altitudes of two triangles is 4 : 5 and the ratio of their areas is 3 : 2.
$\frac{\text{Area of Triangle 1}}{\text{Area of Triangle 2}} = \frac{\text{Base

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Question : U. Srinivas is a famous player of which of the following instruments?

Option 1: Mandolin

Option 2: Violin

Option 3: Sitar

Option 4: Guitar

Team Careers360 13th Jan, 2024

Correct Answer: Mandolin


Solution : The correct option is Mandolin.

U. Srinivas was a renowned mandolinist who introduced the mandolin to Carnatic classical music. He was known for his virtuosic playing and innovative compositions. Srinivas was a child prodigy who started playing the mandolin at the age of five. By

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Question : If $a=45^{\circ}$ and $b=15^{\circ}$, what is the value of $\frac{\cos (a-b)-\cos (a+b)}{\cos (a-b)+\cos (a+b)} ?$

Option 1: $2-2 \sqrt{2}$

Option 2: $3-\sqrt{6}$

Option 3: $3-\sqrt{2}$

Option 4: $2-\sqrt{3}$

Team Careers360 13th Jan, 2024

Correct Answer: $2-\sqrt{3}$


Solution : Given, $a=45°$ and $b=15°$
$a-b = 45° - 15° = 30°$
And, $a+b = 45° + 15° = 60°$
So, $\frac{\cos (a-b)-\cos (a+b)}{\cos (a-b)+\cos (a+b)}$
$= \frac{\cos(30°) - \cos(60°)}{\cos(30°) + \cos(60°)}$
$= \frac{\frac{\sqrt{3}}{2} - \frac{1}{2}}{\frac{\sqrt{3}}{2}+\frac{1}{2}}$
⇒ $\frac{\sqrt{3} - 1}{\sqrt{3} + 1} = \frac{\sqrt{3} - 1}{\sqrt{3}+1}\times

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Question : According to Kautilya's Arthashastra, the Commanding Officer of the cavalry in the Mauryan administration was known as:

Option 1: Rathadhyaksha

Option 2: Hastyadhyaksha

Option 3: Ashwadhyaksha

Option 4: Patyadhyaksha

Team Careers360 22nd Jan, 2024

Correct Answer: Ashwadhyaksha


Solution : The correct option is Ashwadhyaksha.

According to Kautilya's Arthashastra, an ancient Indian treatise on statecraft, economic policy and military strategy, the commanding officer of the cavalry in the Mauryan administration was indeed known as Ashwadhyaksha. This term translates to Superintendent of Horses or Commander

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Question : Which of the following is an organic compound with the formula CH3OC6H5 used as a perfume, fragrance and solvent?

Option 1: Anisole

Option 2: Toluene

Option 3: Acetophenone

Option 4: Aniline

Team Careers360 19th Jan, 2024

Correct Answer: Anisole


Solution : The correct answer is Anisole.

Anisole, also known as Methoxybenzene, is an organic compound with the chemical formula CH3OC6H5. Anisole is an organic compound consisting of a Methoxy group (CH3O-) attached to a Benzene ring (C

32 Views

Question : In a $\triangle \mathrm{XYZ}, \mathrm{XO}$ is the median and $\mathrm{XO}=\frac{1}{2} \mathrm{YZ}$. If $\angle \mathrm{YXO}=30^{\circ}$, then what is the value of $\angle \mathrm{XYZ}$?

Option 1: 15°

Option 2: 90°

Option 3: 30°

Option 4: 60°

Team Careers360 23rd Jan, 2024

Correct Answer: 30°


Solution :

Since $XO$ is the median,
$YO = OZ = \frac{YZ}{2}$
Given $XO = \frac{YZ}{2}$,
⇒ $YO = XO$
⇒ $\triangle XYO$ is an isosceles triangle.
Given, $\angle YXO = 30°$
Since angles opposite to equal sides of an isosceles triangle are equal,
⇒ $\angle XYO

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