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Question : If profit is $\frac{1}{11}$th of the selling price, what is the profit percentage?
Option 1: $9\frac{1}{11}\%$
Option 2: $10\%$
Option 3: $8\frac{1}{3}\%$
Option 4: $11\frac{1}{9}\%$
Correct Answer: $10\%$
Solution : Given: Profit is $\frac{1}{11}$th of the selling price. Let the selling price be 11 units. Then, the profit is 1 unit. So the cost price is = (11 – 1) = 10 units We know, the profit percentage $=\frac{\text{Profit}}{\text{Cost price}}×100=\frac{1}{10}×100=10\%$ Hence, the correct answer is
Question : Parts of the following sentence have been given as options. One of them may contain an error. Select the part that contains the error from the given options. If you don't find any error, mark 'No error' as your answer.
Luckily, I managed to get a room in the college hostel, and I move in there.
Option 1: and I move in there
Option 2: Luckily, I managed to get a room
Option 3: in the college hostel
Option 4: No error
Correct Answer: and I move in there
Solution : The first option is correct.
The initial part of the sentence is in the past tense (I managed), so the subsequent action should also be in the past tense. Therefore, move should be changed to moved to ensure proper verb
Question : ABCDEF is a regular hexagon of side 12 cm. What is the area (in cm2) of the $\triangle $ECD?
Option 1: $18\sqrt{3}$
Option 2: $24\sqrt{3}$
Option 3: $36\sqrt{3}$
Option 4: $42\sqrt{3}$
Correct Answer: $36\sqrt{3}$
Solution : ABCDEF is a regular hexagon that is divided into 6 equilateral triangles with a side of 12 cm. We know, Area of a regular hexagon $= 6 × \frac{\sqrt{3}}{4}$ × (side)2 = $ 6 × \frac{\sqrt{3}}{4} ×12^2=216\sqrt3$ cm2 Area of $\triangle$EOD = area
Question : Which of the following rivers is not a tributary of Ganga?
Option 1: Ghagra
Option 2: Bhima
Option 3: Ramganga
Option 4: Yamuna
Correct Answer: Bhima
Solution : The correct option is Bhima.
The Bhima River is not a tributary of the Ganga. The Bhima River is a major tributary of the Krishna River, which flows through the states of Maharashtra, Karnataka, and Telangana in India. The Ghagra River, a major left-bank
Question : Identify the incorrect statement for the universal law of gravitation.
Option 1: It is the force that binds us to the earth
Option 2: It is the force causing tides due to the stars and the earth
Option 3: It is the forces that assist the motion of the moon around the earth
Option 4: It is the force that keeps the motion of planets around the Sun
Correct Answer: It is the force causing tides due to the stars and the earth
Solution : The correct option is It is the force causing tides due to the stars and the Earth.
The universal law of gravitation primarily describes the gravitational attraction between two masses, such as the
Question : Select the most appropriate synonym of the given word.
Callous
Option 1: Inordinate
Option 2: Compassionate
Option 3: Insensitive
Option 4: Unshackle
Correct Answer: Insensitive
Solution : The correct choice is the third option.
Insensitive refers to a lack of sensitivity or awareness towards the feelings, emotions, or needs of others, which is synonymous with "callous".
The meanings of the other options are as follows:
Question : Direction: The pie chart shows the breakup of the monthly expenditure of a person.
If the expenditure incurred on clothes is Rs. 3,000. What is the expenditure incurred on education?
Option 1: Rs. 4,300
Option 2: Rs. 5,050
Option 3: Rs. 5,200
Option 4: Rs. 5,600
Correct Answer: Rs. 5,200
Solution : Expenditure incurred on cloth = Rs. 3,000 Given expenditure in percentage = 15% So, $\frac{15}{100}$ of Total expenditure = $3,000$ = 20,000 Total expenditure = Rs. 20,000 Expenditure on education = 26% of total expenditure = $\frac{26}{100}$ × 20000 = Rs. 5,200 Hence, the
Question : Find the amount that Shyam will get on Rs. 4096 if he gives it for 18 months at $12\frac{1}{2}$ percent per annum, with interest being compounded half-yearly.
Option 1: Rs. 5813
Option 2: Rs. 4515
Option 3: Rs. 4913
Option 4: Rs. 5713
Correct Answer: Rs. 4913
Solution : Amount = $P(1+\frac{\frac{R}{2}}{100})^{2n}$ where n is the time in years, and where P is the principal, and R is the rate interest per annum compounded annually. Principal = Rs. 4096 Time = 18 months = 3 half years Rate R= $12\frac{1}{2}$ per annum% $\frac{R}{2}$⇒
Question : If the price of rice is raised by 25%, the percentage by which a house holder must reduce his consumption of rice so as not to increase his expenditure on rice is:
Option 1: 225%
Option 2: 25.75%
Option 3: 25%
Option 4: 20%
Correct Answer: 20%
Solution : The price of rice is raised by 25%. If the consumption remains the same then expenditure will be increased by 25%. So, the percentage by which a house holder must reduce his consumption of rice so as not to increase his expenditure on rice $=\frac{25}{125}
Question :
Directions: In the following question, select the related word from the given alternatives. Cricket : Pitch :: ? : ?
Option 1: Ship : Harbour
Option 2: Wrestling : Track
Option 3: Boxing : Ring
Option 4: Ship : Dock
Correct Answer: Boxing : Ring
Solution : Given: Cricket : Pitch :: ? : ? The given pair of works depicts the relation between the game and the area where it is played.
Let's check the options – First option: Ship : Harbour; A harbour is a sheltered body of
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