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Staff Selection Commission Combined Higher Secondary Level Exam

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Question : Rhizobium is a kind of:

Option 1: Photosynthetic bacteria

Option 2: Symbiotic bacteria

Option 3: Parasitic bacteria

Option 4: Saprophytic bacteria

Team Careers360 21st Jan, 2024

Correct Answer: Symbiotic bacteria


Solution : The correct answer is Symbiotic bacteria.

Rhizobium is a kind of symbiotic bacteria which is found in the roots of leguminous plants. It helps in nitrogen fixation. It is a gram-negative bacteria found in endo-symbiotic association with leguminous plants. It converts dinitrogen into

9 Views

Question : Hawa Mahal is situated in which city?

Option 1: Jaipur

Option 2: Jodhpur

Option 3: Udaipur

Option 4: Alwar

Team Careers360 18th Jan, 2024

Correct Answer: Jaipur


Solution : The correct option is Jaipur.

Hawa Mahal, also known as the "Palace of Winds," is located in the city of Jaipur, which is the capital of the Indian state of Rajasthan. Jaipur is known for its rich history, stunning architecture, and vibrant culture. The Hawa

16 Views

Question : Directions: Select the related letter cluster from the given alternatives in the given question.
AZB : CYD :: EXF : ?

Option 1: GWH

Option 2: FGV

Option 3: TMR

Option 4: QSV

Team Careers360 19th Jan, 2024

Correct Answer: GWH


Solution : Given:
AZB : CYD :: EXF : ?

Add 2 to the place value of the first and third letters, and subtract 1 from the place value of AZB to get the related letter cluster.
A + 2 = C; Z – 1 = Y;

9 Views

Question : ABCD is a square. Draw a triangle QBC on side BC considering BC as a base and draw a triangle PAC on AC as its base such that $\Delta$QBC$\sim\Delta$PAC. Then, $\frac{\text{Area of $\Delta$QBC}}{\text{Area of  $\Delta$PAC}}$ is equal to:

Option 1: $\frac{1}{2}$

 

Option 2: $\frac{2}{1}$

Option 3: $\frac{1}{3}$

Option 4: $\frac{2}{3}$

Team Careers360 20th Jan, 2024

Correct Answer: $\frac{1}{2}$

 


Solution :
We have,
$\Delta$QBC$\sim\Delta$PAC
Since ABCD is a square,
AB = BC = CD = DA
In $\Delta$ABC,
$ ⇒AC=\sqrt{(AB)^2+(BC)^2}$
$⇒ AC=\sqrt{(2BC)^2}$
$⇒AC=\sqrt{2}BC$
In similar triangles, the ratio of their areas is equal to the square of the ratio of their corresponding sides.
$⇒\frac{\text{Area of $\Delta$QBC}}{\text{Area

14 Views

Question : The strongest oxidising agent among the following is

Option 1: Chlorine

Option 2: Iodine

Option 3: Fluorine

Option 4: Oxygen

Team Careers360 8th Jan, 2024

Correct Answer: Fluorine


Solution : The correct answer is Fluorine.

An oxidising agent is a substance that oxidises other elements. They aid the other elements in losing their electrons, increase their oxidation states, and themselves gain electrons. Elements with high electronegativity are particularly good oxidising agents, like fluorine, oxygen

31 Views

Question : A train runs from Howrah to Bandel at an average speed of 20 km/h and returns at an average speed of 30 km/h. The average speed (in km/h) of the train in the whole journey is:

Option 1: 20

Option 2: 22.5

Option 3: 24

Option 4: 25

Team Careers360 6th Jan, 2024

Correct Answer: 24


Solution : Given: Howrah to Bandel at an average speed of 20 km/h and returns at an average speed of 30 km/h.
Applying the formula for average speed = $\frac{2xy}{x+y}$
= $\frac{2×20×30}{20+30}$
= $\frac{1200}{50}$
= 24 km/h.
Hence, the correct answer is 24 km/h.

14 Views

Question : If $\triangle ABC \cong \triangle PQR$, then the value of $\angle A$ is:

Option 1: 55°

Option 2: 90°

Option 3: 35°

Option 4: 45°

Team Careers360 14th Jan, 2024

Correct Answer: 55°


Solution : As $\triangle ABC \cong \triangle PQR$, then
$\angle A = \angle P$
In $\triangle PQR$, from the angle sum property of a triangle, we can write
$\angle P + \angle Q + \angle R = 180°$
$⇒\angle P + 35°+ 90°= 180°$
$⇒\angle P =

20 Views

Question : Select the most appropriate ANTONYM for ‘copious’ in the given sentence.

To be a successful writer, you need to have plenty of words; otherwise, you will write a meagre novel that won’t receive a good response from the readers.

Option 1: Successful

Option 2: Plenty

Option 3: Meagre

Option 4: Response

Team Careers360 13th Jan, 2024

Correct Answer: Meagre


Solution : The correct choice is the third option.

The most appropriate antonym for copious in the given sentence is meagre because copious refers to something that is in large amounts, while meagre means in small amounts.

The meanings of the other options are as follows:

12 Views

Question : If $x+\frac{2}{x}=1$, then the value of $\frac{x^2+7x+2}{x^2+13x+2}$ is:

Option 1: $\frac{5}{7}$

Option 2: $\frac{3}{7}$

Option 3: $\frac{4}{7}$

Option 4: $\frac{2}{7}$

Team Careers360 11th Jan, 2024

Correct Answer: $\frac{4}{7}$


Solution : Given: $x+\frac{2}{x}=1$
Now, $\frac{x^2+7 x+2}{x^2+13 x+2}$
Taking $x$ as common from the numerator and the denominator, we get,
$\frac{x(x+7 +\frac{2}{x})}{x(x + 13 + \frac{2}{x})} = \frac{1 + 7}{1 + 13} = \frac{8}{14} = \frac{4}{7}$
Hence, the correct answer is $\frac{4}{7}$.

16 Views

Question : The quotient when $10^{100}$ is divided by $5^{75}$ is:

Option 1: $2^{25}×10^{75}$

Option 2: $10^{25}$

Option 3: $2^{75}$

Option 4: $2^{75}×10^{25}$

Team Careers360 16th Jan, 2024

Correct Answer: $2^{75}×10^{25}$


Solution : Given: $10^{100}$ is divided by $5^{75}$.
= $\frac{10^{100}}{5^{75}}$
= $\frac{(2×5)^{100}}{5^{75}}$
= $\frac{2^{100}×5^{100}}{5^{75}}$
= $2^{100}×\frac{5^{100}}{5^{75}}$
By using, $\frac{a^{m}}{a^{n}}=a^{(m–n)}$
= $2^{100}×5^{(100-75)}$
= $2^{100}×5^{25}$
= $2^{75}×2^{25}×5^{25}$
= $2^{75}×10^{25}$
Hence, the correct answer is $2^{75}×10^{25}$.

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