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Question : Directions: There are six taxi companies (A, B, C, D, E, F) in a certain city. The bar graph shows the number of taxis run by each of these six companies. Study the diagram and answer the following question. If each taxi, on average, runs 100 km every day and if the fuel cost is Rs. 3 per km, then all these taxis spend how much (in Rs.) on fuel every day?
Option 1: 128000
Option 2: 108000
Option 3: 118000
Option 4: 98000
Correct Answer: 108000
Solution : Total number of taxis = 25 +120 + 35 + 75 + 95 + 10 = 360 If each taxi runs 100 km daily, and cost of fuel is Rs. 3. Then, total cost on fuel = 360 × 100 × 3 = Rs. 108000
Question : Stress can be defined as _____ quantity.
Option 1: scalar
Option 2: vector
Option 3: phasor
Option 4: tensor
Correct Answer: tensor
Solution : The correct option is tensor.
Stress can be defined as a tensor quantity. The stress tensor, a second-order tensor that is the distribution of internal forces within a material, represents stress. This tensor contains magnitude and direction information and is used to investigate how
Question : The point on the surface nearest to the focus of the earthquake is called _________.
Option 1: hypocentre
Option 2: epicentre
Option 3: centrepiece
Option 4: semi centre
Correct Answer: epicentre
Solution : The correct option is the epicentre.
The point on the Earth's surface directly above the earthquake's point of origin, or focus, is called the "epicentre." This is the point on the Earth's surface that is closest to the seismic activity. An earthquake is a
Question : Which of the following regions is covered by tropical evergreen forests?
Option 1: Eastern Ghats
Option 2: Vindhyachal
Option 3: Aravalli
Option 4: Western Ghats
Correct Answer: Western Ghats
Solution : The correct option is the Western Ghats.
The tropical moist forests of India's Western Ghats are part of the larger tropical rainforest biome. High amounts of rainfall, humidity, and biodiversity characterise these woods. The Western Ghats are noted for their various ecosystems, which
Question : In India, which of the following taxes is levied by the state government?
Option 1: Excise duty on liquor
Option 2: Capital gains tax
Option 3: Customs tax
Option 4: Corporation tax
Correct Answer: Excise duty on liquor
Solution : The correct answer is Excise duty on liquor.
State excise duty is a tax charged by Indian state governments on the production and sale of alcoholic drinks, tobacco products and other designated items. The precise commodities subject to state excise duty
Question : A solid metallic sphere of radius x cm is melted and then drawn into 126 cones each of radius 3.5 cm and height 3 cm. There is no wastage of material in this process. What is the value of $x$?
Option 1: 10.5
Option 2: 3.5
Option 3: 7
Option 4: 21
Correct Answer: 10.5
Solution : The volume of the sphere = $\frac {4}{3}\pi r^3$, Volume of a cone = $\frac{1}{3}\pi r^2h$, where $r$ = radius, $h$ = height According to the question, $\frac {4}{3}\pi r^3= 126 × \frac{1}{3}\pi r^2h$ ⇒ $x^{3} = \frac{126}{4} × 3.5 × 3.5 × 3$ ⇒
Question : Under which writs did the courts seek to produce a person in court suspected to be missing or in custody?
Option 1: Mandamus
Option 2: Quo Warranto
Option 3: Certiorari
Option 4: Habeas Corpus
Correct Answer: Habeas Corpus
Solution : The correct answer is Habeas Corpus.
The courts seek to produce a person suspected to be missing or in custody under the writs of Habeas Corpus. This legal remedy, which puts the offender before the court to have the validity of their detention
Question : The total surface area of a hemisphere is 41.58 sq. cm. Find its curved surface area.
Option 1: 27.72 sq. cm.
Option 2: 55.44 sq. cm.
Option 3: 9.24 sq. cm.
Option 4: 13.86 sq. cm.
Correct Answer: 27.72 sq. cm.
Solution : The curved surface area of a hemisphere = $2\pi r^2$ The total surface area of a hemisphere = $3\pi r^2$ ⇒ $41.58=3\pi r^2$ ⇒ $3\pi r^2×\frac{2}{3}=41.58×\frac{2}{3}$ $\therefore 2\pi r^2=27.72$ sq. cm. Hence, the correct answer is 27.72 sq. cm.
Question : Directions: In the following question, the given sentence has four parts marked P, Q, R, and S. Choose the part of the sentence with the error and select it as your answer. If there is no error, select "No Error (S)" as your answer.
(P) No method of making other (Q) people agree to (R) your viewpoint is as effective as this method. (S) No Error
Option 1: 1
Option 2: 2
Option 3: 3
Option 4: 4
Correct Answer: 1
Solution : The error is in part (P) marked by the first option.
"No method of making" should be replaced with "no other method of making" as "other" indicates something different or additional.
So, the correct sentence would be: "No other method of making other people
Question : A and B can do a piece of work in 18 days, B and C in 24 days and A and C in 36 days. Working together, they can do the work in:
Option 1: 12 days
Option 2: 13 days
Option 3: 16 days
Option 4: 26 days
Correct Answer: 16 days
Solution : One day work of (A + B) = $\frac{1}{18}$ One day work of (B + C) = $\frac{1}{24}$ One day work of (C + A) = $\frac{1}{36}$ Combined work = ($\frac{1}{A+B}+\frac{1}{B+C}+\frac{1}{C+A}$) = ($\frac{1}{18}+\frac{1}{24}+\frac{1}{36}$) ⇒ 2(A + B + C) = $\frac{4+3+2}{72}$ = $\frac{9}{72}$ =
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