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Question : From a point on a bridge across the river, the angles of depression of the banks on opposite sides of the river are $30^{\circ}$ and $45^{\circ}$, respectively. If the bridge is at a height of 2.5 m from the banks, then the width of the river is: Take ($\sqrt{3}$ = 1.732).
Option 1: 5.83 metres
Option 2: 6.83 metres
Option 3: 5.76 metres
Option 4: 6.87 metres
Correct Answer: 6.83 metres
Solution : Given, The height of the bridge PD = 2.5 metres. Taking one side of the river In $\triangle$ PAD, tan 30° = $\frac{\text{PD}}{\text{AD}}$ $\frac{1}{\sqrt{3}}$ = $\frac{2.5}{\text{AD}}$ ⇒ AD = 2.5$\sqrt{3}$ Taking another side of the river In $\Delta$ PBD, tan 45° = $\frac{\text{PD}}{\text{BD}}$ 1
Question : Directions: Select the correct mirror image of the given figure when the mirror is placed at MN as shown.
Option 1:
Option 2:
Option 3:
Option 4:
Correct Answer:
Solution : As per the mirror image properties, closer things appear closer to the mirror in the reflection. Here, according to the information provided, the mirror is placed on the right side of the figure (on line MN). So, the left side of the reflected image will appear
Question : Directions: A piece of paper is folded and cut as shown below in the question figures. From the given answer figures, indicate how it will appear when opened.
Solution : When the given folded paper is unfolded, it will look like –
Hence, the first option is correct.
Question : The following table shows the number of songs sung by 6 different singers and uploaded on a streaming website.
The average number of views per song for S1, S2, and S3 is 100. The average number of views per song for S4, S5 and S6 is 50. What is the total number of views for all the songs sung by all of the 6 different singers taken together?
Option 1: 8500
Option 2: 9000
Option 3: 9500
Option 4: 8000
Correct Answer: 9000
Solution : As, the average number of views per song for S1, S2, and S3 = 100 Number of songs of S1 = 20 ⇒ Sum of S1 = 100 × 20 = 2000 Number of songs of S2 = 25 ⇒ Sum of S2 = 100
Question : Commercialisation of agriculture is an indication of________.
Option 1: income surplus
Option 2: producers surplus
Option 3: consumer surplus
Option 4: marketable surplus
Correct Answer: marketable surplus
Solution : The correct option is marketable surplus.
The commercialization of agriculture serves as a clear indication that farmers are producing a surplus of goods that can be sold in the market. In this context, "marketable surplus" refers to the portion of agricultural produce that goes
Question : 360 cm2 and 250 cm2 are the areas of the two similar triangles. If the length of one of the sides of the first triangle is 8 cm, then the length of the corresponding side of the second triangle is:
Option 1: $6\frac{1}{5}\;\operatorname{ cm}$
Option 2: $6\frac{1}{3}\;\operatorname{ cm}$
Option 3: $6\frac{2}{3}\;\operatorname{ cm}$
Option 4: $6\;\operatorname{ cm}$
Correct Answer: $6\frac{2}{3}\;\operatorname{ cm}$
Solution : Thales theorem states that the ratio of the areas of two similar triangles is equal to the square of the ratio of their corresponding sides. Let the length of the corresponding side of the second triangle as $x$. $⇒\mathrm{\frac{Area_1}{Area_2} = \left(\frac{Side_1}{Side_2}\right)^2}$ $⇒\frac{360}{250} = \left(\frac{8}{x}\right)^2$
Question : Directions: In the question, a part of the sentence is in bold. Below are given alternatives to the bold part at (1), (2) and (3) that may improve the sentence. Choose the correct alternative. In case no improvement is needed, your answer is (4).
Both of them are good, but this is the best of the two.
(1) good
(2) better
(3) much better
(4) No Improvement
Option 1: (1)
Option 2: (2)
Option 3: (3)
Option 4: (4)
Correct Answer: (2)
Solution : The second option is the correct answer.
"Better" is the comparative form of "good" and is needed here to compare the two options. The definite article "the" is required where one person or thing is being compared with another.
The other options are either lacking
Question : Who is the only second Vice President to get a second consecutive term after Dr Sarvepalli Radhakrishnan?
Option 1: Kocheril Raman Narayanan
Option 2: Bhairon Singh Shekhawat
Option 3: Mohammad Hamid Ansari
Option 4: Dr. Shankar Dayal Sharma
Correct Answer: Mohammad Hamid Ansari
Solution : The correct answer is Mohammad Hamid Ansari.
Mohammad Hamid Ansari served as the Vice President of India between 2007 and 2017. He had two consecutive terms as the Vice President of India, only after Dr. Sarvepalli Radhakrishnan.
Question : Which one of the following methods of soil conservation is most effective in arid areas?
Option 1: Mulching
Option 2: Shelter belt
Option 3: Gully plugging
Option 4: Terracing
Correct Answer: Shelter belt
Solution : The correct option is Shelter.
Shelterbelt is the most effective method of soil conservation in arid areas. A shelterbelt is a row of trees or shrubs placed to keep land from eroding due to wind. Shelterbelts function by breaking up the wind and slowing
Question : _____________land that has been lying uncultivated for more than five years can be brought into farming use after improving it through improvement works.
Option 1: Permanent pasture
Option 2: Forest
Option 3: Cultivable barren
Option 4: Presently barren
Correct Answer: Cultivable barren
Solution : The correct answer is Cultivable barren.
Land that has been fallow, or uncultivated, for longer than five years is classified as cultivable barren land. Once improved by reclamation techniques, it can be placed under agriculture. The government or the community "Panchayat" owns the
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