Staff Selection Commission Combined Higher Secondary Level Exam
Question : Rhizobium is a kind of:
Option 1: Photosynthetic bacteria
Option 2: Symbiotic bacteria
Option 3: Parasitic bacteria
Option 4: Saprophytic bacteria
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
Question : Hawa Mahal is situated in which city?
Option 1: Jaipur
Option 2: Jodhpur
Option 3: Udaipur
Option 4: Alwar
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
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
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;
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: $\frac{2}{3}$
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
Question : The strongest oxidising agent among the following is
Option 1: Chlorine
Option 2: Iodine
Option 3: Fluorine
Option 4: Oxygen
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
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
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.
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°
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 =
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
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:
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: $\frac{2}{7}$
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 $\frac{4}{7}$.
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: $2^{75}×10^{25}$
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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