If the mathematical operator '÷' means '×', '+' means '-', '×' means '+' and '-' means '÷', then
24 + 48 − 12 × 4 ÷ 2=?
This problem involves substituting given mathematical operator meanings into an expression and then evaluating it using the BODMAS/PEMDAS rule.
BODMAS stands for Brackets, Orders (powers/roots), Division, Multiplication, Addition, Subtraction.
Thus, the final value of the expression is 28.
Correct Option: D) 28
This is an analogy question. We need to identify the relationship between the first pair of words (Avalanche : Ice) and then apply the same relationship to the second pair (Volcano : __________).
Correct Option: A) Lava — Lava is the molten rock that erupts from a volcano, making it the primary material associated with a volcanic eruption, similar to how ice is the primary material of an avalanche.
The question asks for the specific process that reduces the size of milk fat globules to ensure their even distribution in milk. We need to identify the term among the given options that accurately describes this physical treatment.
C) Homogenization is the process of reducing the size of milk fat globules to allow them to stay evenly distributed in milk, preventing creaming and ensuring a consistent texture.
__________ was the 3rd Mughal Emperor of India.
The question asks to identify the 3rd Mughal Emperor of India. This requires knowledge of the chronological order of the major Mughal emperors.
Correct Option: B) Akbar was the third Mughal Emperor, succeeding his father Humayun.
The question asks to identify which factor does NOT influence the velocity of a car. Velocity is a vector quantity, meaning it has both magnitude (speed) and direction. We need to analyze each option in relation to this definition.
A) Speedometer — A speedometer is a device that measures speed, which is the magnitude of velocity. It does not influence or cause changes in the car's velocity; it merely reports one aspect of it. Therefore, the velocity of a car does not depend on the speedometer.
The question asks for the location of the Colosseum, also known as the Flavian Amphitheatre. This is a factual recall question related to world history and geography.
Correct Option: B) Rome
The question gives three successive discounts of 30%, 25% and 15% on a shirt. We need to calculate the single equivalent discount that produces the same final selling price. Since successive discounts are applied one after another on the reduced price, we cannot simply add the discount percentages.
Identify the given information:
For easier calculation, assume the marked price of the shirt is ₹100.
Calculate the price after the first discount:
The first discount is 30% of ₹100.
\[ \text{First Discount}=\frac{30}{100}\times100=30 \]Price after the first discount:
\[ 100-30=70 \]Therefore, the reduced price is ₹70.
Calculate the price after the second discount:
The second discount of 25% is applied to ₹70.
\[ \text{Second Discount}=\frac{25}{100}\times70 \] \[ =17.50 \]Price after the second discount:
\[ 70-17.50=52.50 \]Therefore, the reduced price is ₹52.50.
Calculate the price after the third discount:
The third discount of 15% is applied to ₹52.50.
\[ \text{Third Discount}=\frac{15}{100}\times52.50 \] \[ =7.875 \]Final selling price:
\[ 52.50-7.875=44.625 \]Therefore, the final selling price is ₹44.625.
Calculate the single equivalent discount:
The total discount on the original marked price of ₹100 is:
\[ 100-44.625=55.375 \]Therefore, the equivalent discount percentage is:
\[ \frac{55.375}{100}\times100=55.375\% \]Rounding to two decimal places:
\[ 55.375\%\approx55.38\% \]Therefore, the single equivalent discount is 55.38%.
Correct Option: C) 55.38% — The three successive discounts of 30%, 25% and 15% reduce the marked price by the following fraction:
\[ \frac{70}{100}\times\frac{75}{100}\times\frac{85}{100} =0.44625 \]
Therefore, the single equivalent discount is:
\[ (1-0.44625)\times100 =55.375\% \]
Rounding to two decimal places gives 55.38%. Hence, Option C is the correct answer.
A) 52.34%: This is incorrect because the combined effect of the three successive discounts is 55.375%, which rounds to 55.38%.
B) 38.35%: This is incorrect because it does not account for the complete effect of all three successive discounts.
D) 57.38%: This is incorrect because the final selling price is 44.625% of the original marked price, giving an equivalent discount of 55.38%, not 57.38%.
The question asks to identify the organization that was fined by the National Green Tribunal (NGT) in March 2016 for environmental damage to the Yamuna river's floodplains. This is a factual question related to environmental regulations and specific events.
B) Art of Living Foundation — The National Green Tribunal (NGT) imposed an initial compensation of Rs. 5 crore on the Art of Living Foundation in March 2016 for environmental damage caused during its 'World Culture Festival' on the Yamuna river's floodplains.
The question asks about the language in which the ancient Indian legal document 'Manusmriti' was originally written. This requires knowledge of classical Indian literature and legal texts.
C) Sanskrit. The Manusmriti, also known as the Mānava-Dharmaśāstra, is an ancient legal text among the many Dharmaśāstras of Hinduism. It was written in Sanskrit, the classical language of ancient India, and is foundational to Hindu law and social norms.
The problem presents a series of three-letter combinations. To find the missing term, we need to identify the pattern in how the letters within each combination are related and how consecutive combinations are related.
This confirms that within each term, the letters are separated by one letter (i.e., a difference of +2 in their alphabetical position).
The last given term is PRT.
Thus, the missing term is UWY.
Correct Option: D) UWY