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Question : The length of a rope, by which a calf is tied, is decreased from 9 m to 5 m. Find the decrease in the area that can be grazed by the calf. [Use $\pi=\frac{22}{7}$]
Option 1: 112 m2
Option 2: 154 m2
Option 3: 122 m2
Option 4: 176 m2
Correct Answer: 176 m2
Solution : Given: Original length of rope = 9 m The new length of rope = 5 m (Length of rope taken as the radius of the circle) So, Old area = $\pi (9^{2}) = 81\pi $ New area = $\pi (5^{2}) = 25\pi $
Question : DE is tangent to the circumcircle of $\triangle$ABC at the vertex A such that $DE \parallel BC$. If AB = 17 cm, then the length of AC is equal to:
Option 1: 16 cm
Option 2: 16.8 cm
Option 3: 17.3 cm
Option 4: 17 cm
Correct Answer: 17 cm
Solution : Given: DE || BC and AB = 17 cm. From the alternate segment theorem, we get $\angle$DAB = $\angle$ACB Also, $\angle$DAB = $\angle$ABC (Alternate angle) So, $\angle$ACB = $\angle$ABC ⇒ AB = AC = 17 cm Hence, the correct answer is 17 cm.
Question : Directions: Six regular hexagons of side 5 cm are joined together to form the figure given below. What is the perimeter of the figure?
Option 1: 210
Option 2: 180
Option 3: 120
Option 4: 240
Correct Answer: 120
Solution : Given: The side of a regular hexagon is 5cm.
The perimeter of a given figure(P) = (Total length of the external boundary) + (Total length of the internal boundary) P = (AB + BC + CD + DE + EF + FG + GH +
Question : The part of the eye having the larger refractive index is:
Option 1: cornea
Option 2: aqueous humor
Option 3: lens
Option 4: vitreous humor
Correct Answer: lens
Solution : The correct option is the lens.
Refractive Index is defined as the ratio of the speed of light in a vacuum (or air) to the speed of light in the medium. The refractive indices of the cornea, aqueous humor, lens and vitreous humor are 1.376,
Question : Directions: A paper is folded and cut as shown. How will it appear when unfolded?
Option 1:
Option 2:
Option 3:
Option 4:
Correct Answer:
Solution : When the given folded paper is unfolded, it will look like this–
Hence, the fourth option is correct.
Question : What is the jelly-like substance between the nucleus and the cell membrane called?
Option 1: Plasma
Option 2: Cell wall
Option 3: Plasma membrane
Option 4: Cytoplasm
Correct Answer: Cytoplasm
Solution : The correct answer is Cytoplasm.
Each cell is filled with cytoplasm, which is a thick solution. The cell membrane encloses it. It consists of water, salts, and proteins. The cytoplasm in eukaryotic cells includes all of the material inside the cell and outside of
Question : Directions: In this question, three statements are given, followed by two conclusions. Assuming the statements to be true, even if they seem to be at variance with commonly known facts, decide which of the conclusions logically follows/follow from the statements. Statements: I. No streak is a line. II. Some lines are bonds. III. All bonds are flashes. Conclusions: I. Some flashes are streaks. II. No flash is a line.
Option 1: Only conclusion I follows
Option 2: Both conclusions I and II follow
Option 3: Only conclusion II follows
Option 4: Neither conclusion I nor II follows
Correct Answer: Neither conclusion I nor II follows
Solution : The possible Venn diagram according to the given statements is as follows –
Let's analyse the conclusions – Conclusion I: Some flashes are streaks – From the above diagram, it can be seen that there is no direct relation between
Question : In a bucket, there are 40 red balls and 120 blue balls. The ratio of red to blue is:
Option 1: 1 : 3
Option 2: 3 : 4
Option 3: 1 : 4
Option 4: 2 : 3
Correct Answer: 1 : 3
Solution : Given, Number of red balls in the bucket = 40 Number of blue balls in the bucket = 120 ⇒ Ratio = 40 : 120 = 1 : 3 Hence, the correct answer is 1 : 3.
Question : Who among the following founded Brahmo Samaj in Calcutta (Kolkata)?
Option 1: Swami Vivekananda
Option 2: Swami Dayanand Saraswati
Option 3: Ishwar Chandra Vidyasagar
Option 4: Raja Ram Mohan Roy
Correct Answer: Raja Ram Mohan Roy
Solution : The correct answer is Raja Ram Mohan Roy.
The social manifestation of Brahmoism is known as Brahmo Samaj. It began as a Hindu reformist movement that was monotheistic and was valued during the Bengal Renaissance. On August 20, 1828, Raja Ram
Question : Select the most appropriate one-word substitution for the given words.
A group of lions
Option 1: Herd
Option 2: Pack
Option 3: Pride
Option 4: Colony
Correct Answer: Pride
Solution : The correct choice is the third option.
In this context, pride refers to a social group of lions. This term is specific to lions and reflects their social structure.
The meanings of the other options are as follows:
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