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Question : If $\left (\sqrt{5} \right)^{7}\div \left (\sqrt{5} \right)^{5}=5^{p},$ then the value of $p$ is:
Option 1: $5$
Option 2: $2$
Option 3: $\frac{3}{2}$
Option 4: $1$
Correct Answer: $1$
Solution : Given: $\frac{(\sqrt{5})^7}{(\sqrt{5})^5} = 5^p$ $⇒(\sqrt{5})^{7 - 5} = 5^p$ $⇒(\sqrt{5})^2 = 5^p$ $⇒5^{\frac{1}{2}×2} = 5^{p}$ $⇒5^1=5^p$ Comparing both sides, we get, $\therefore p=1$ Hence, the correct answer is $1$.
Question : Who among the following organised the "All India Depressed Classes Association" in colonial India?
Option 1: M. K. Gandhi
Option 2: Jyotiba Phule
Option 3: Pandita Ramabai
Option 4: B. R. Ambedkar
Correct Answer: B. R. Ambedkar
Solution : The correct answer is B. R. Ambedkar.
B. R. Ambedkar organized the "All India Depressed Classes Association" in colonial India. He founded the "All India Depressed Classes Association" in 1930, which later evolved into the "Scheduled Castes Federation" to address the social and
Question : Comprehension:
In the following passage, some words have been deleted. Fill in the blanks with the help of the alternatives given. Select the most appropriate option for each number.
The working of the stomach was (1) _____ by a strange accident. In 1822, a man named Alexis St. Martin was (2) _____ hit by a shotgun. The bullet had seriously (3) _____ the chest wall and made a hole in (4)_____ stomach. He was brought to an American army (5) _____ William Beaumont. The doctor saved the patient but he (6) ______ not close the hole properly. Beaumont took it as a (7) ______ opportunity to see the inside of the stomach (8) ______ the hole. He made some wonderful observations. Beaumont (9) ______ that the stomach was churning food. Its wall secreted a fluid (10) ______ could digest the food. He also observed that the end of the stomach opens into the intestine only after the digestion of the food inside the stomach is completed.
Question: Select the most appropriate option to fill in the blank No. 6.
Option 1: should
Option 2: could
Option 3: had
Option 4: would
Correct Answer: could
Solution : The correct choice is the second option.
Explanation:
Could is the appropriate choice because it indicates ability or possibility in the past tense. The sentence is reflecting on a past event, and could not correctly expresses that the doctor was unable to do so
Question : In a triangle, $ABC, A P$, the bisector of $\angle A$, is perpendicular to $B C$ at point $P$. The measures of $BP$ and $PC$ are $x$ and $3y$, respectively. The measures of $AB$ and $AC$ are $4 x$ and $(5 y+21)$, what is the value of $(x+y)$?
Option 1: 21
Option 2: 15
Option 3: 12
Option 4: 18
Correct Answer: 12
Solution : In $\triangle APB$ and $\triangle APC$, $\angle APB = \angle APC=90°$ $\angle BAP = \angle CAP$ AP = AP (common side) $⇒\triangle APB$ ~ $\triangle APC$ $⇒\frac{PB}{PC} = \frac{AB}{AC}$ $⇒\frac{x}{3y} = \frac{4x}{5y+21}$ $⇒12y = 5y+21$ $⇒y = 3$ --------------(i) $AP$, the bisector of $\angle A$,
Question : In which cities of Japan were atomic bombs dropped during World War II?
Option 1: Tokyo and Hiroshima
Option 2: Nagasaki and Miyazaki
Option 3: Sendai and Hiroshima
Option 4: Hiroshima and Nagasaki
Correct Answer: Hiroshima and Nagasaki
Solution : The correct options are Hiroshima and Nagasaki.
An atomic bomb was unleashed on the city of Hiroshima on August 6, 1945. The explosion caused massive devastation and a large number of immediate casualties.
On August 9, 1945, a second atomic bomb, was detonated
Question : A man bought 30 defective machines for INR 1,000. He repaired and sold them at a rate of INR 300 per machine. He made a profit of INR 150 per machine. How much did he spend on repairs?
Option 1: INR 5,500
Option 2: INR 4,500
Option 3: INR 3,500
Option 4: INR 2,500
Correct Answer: INR 3,500
Solution : The cost price of 30 defective machines = INR 1,000 The selling price of 1 machine = INR 300 Total selling price = INR 300 × 30 = INR 9,000 Profit per machine = INR 150 Total profit = INR 150 × 30 =
Question : Wellington Trophy is associated with
Option 1: Rowing
Option 2: Chess
Option 3: Hockey
Option 4: Bridge
Correct Answer: Rowing
Solution : The correct answer is Rowing.
The Wellington Trophy is an annual rowing competition held in India. The greatest rowers in India compete in one of the most renowned rowing competitions in the nation. The Duke of Wellington, who served as the Governor-General of India from
Question : In Chola administration,________ was the assembly in the villages which were inhabited predominantly by the Brahmanas.
Option 1: Ur
Option 2: Khilya
Option 3: Nagaram
Option 4: Sabha
Correct Answer: Sabha
Solution : The correct option is Sabha.
In the Chola administration, the assembly in villages predominantly inhabited by Brahmanas was known as the Sabha. These assemblies played a significant role in the governance and local administration of Chola society, and they were responsible for various local matters
Question : Directions: In the following question, some parts of the sentence may have some errors. Find out which part of the sentence has an error and select the appropriate option. If the sentence is free from error, select "No Error."
Not much (1) / people realise (2) / his sincerity. (3) / No Error (4)
Option 1: (1)
Option 2: (2)
Option 3: (3)
Option 4: (4)
Correct Answer: (1)
Solution : The error lies in the first part of the sentence.
The phrase "not much" is not an appropriate way to start this sentence. The determiner "much" is used with uncountable nouns and "many" is used with countable nouns. Thus, "many" is the correct determiner to
Question : When Granite rocks get metamorphosed, they form
Option 1:
Option 2:
Option 3:
Option 4:
Correct Answer:
Solution : The correct answer is Gneiss.
Gneiss is a metamorphic rock of high grade, which means it has been subjected to high temperatures and pressures. It is generated as a result of the metamorphism of granite or sedimentary rock. Gneiss has distinct foliation, which represents alternating layers
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