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Question : If $(2000)^{10} = 1.024×10^{k}$, then the value of $k$ is:
Option 1: 33
Option 2: 30
Option 3: 34
Option 4: 31
Correct Answer: 33
Solution : Given: $(2000)^{10} = 1.024×10^{k}$ ⇒ $(2×1000)^{10} = \frac{1024}{1000}×10^{k}$ ⇒ $2^{10}×10^{30} = 2^{10}×10^{k–3}$ ⇒ $10^{30} =10^{k-3}$ By comparing the powers, we get: $(k-3) = 30$ $\therefore k = 33$ Hence, the correct answer is 33.
Question : Select the correct indirect form of the given sentence.
The teacher says, “Magnets attract objects made of iron.”
Option 1: The teacher says that magnets attract objects made of iron.
Option 2: The teacher says magnets attracts objects made of iron.
Option 3: The teacher said that magnets attracted objects made of iron.
Option 4: The teacher said that magnets were attracting objects made of iron.
Correct Answer: The teacher says that magnets attract objects made of iron.
Solution : The correct choice is the first option.
The steps of conversion are as follows:
Question : Vidushi Sharan Rani is famous for playing which musical instrument?
Option 1: Flute
Option 2: Sitar
Option 3: Tabla
Option 4: Sarod
Correct Answer: Sarod
Solution : The correct answer is Sarod.
Sarod is linked to Indian artist Sharan Rani. She is India's first female sarod player. Sharan Rani was designated as the "Cultural Ambassador of India" by Jawaharlal Nehru. In 2000, she received the Padma Bhushan.
Question : In whose consultation does the President convene and prorogue all sessions of Parliament?
Option 1: The Speaker
Option 2: The Prime Minister
Option 3: The Prime Minister and the leader of the Opposition in Lok Sabha
Option 4: The Council of Ministers
Correct Answer: The Prime Minister
Solution : The correct answer is The Prime Minister.
The President may occasionally convene each House of Parliament to meet at whatever time and location he deems appropriate in consultation with the Prime Minister, but no more than six months may elapse between the date
Question : If $\tan \theta=\frac{8}{15}$, then the value of $\sqrt{\frac{1-\sin \theta}{1+\sin \theta}}$ is:
Option 1: $\frac{1}{5}$
Option 2: $\frac{3}{5}$
Option 3: $\frac{2}{5}$
Option 4: $\frac{4}{5}$
Correct Answer: $\frac{3}{5}$
Solution : $\tan \theta=\frac{8}{15}=\frac{\text{Perpendicular}}{\text{Base}}$ $\therefore$ Hypotenuse = $\sqrt{8^2+15^2}=\sqrt{289}= 17$ So, $\sin \theta=\frac{8}{17}$ $\sqrt{\frac{1-\sin \theta}{1+\sin \theta}}=\sqrt{\frac{1-\frac{8}{17}}{1+\frac{8}{17}}}=\sqrt{\frac{\frac{9}{17}}{\frac{25}{17}}}=\sqrt{\frac{9}{25}}=\frac{3}{5}$ Hence, the correct answer is $\frac{3}{5}$.
Question : If 60% of A = 30% of B, B = 40% of C, and C = $x$% of A, the value of $x$ is:
Option 1: 200
Option 2: 500
Option 3: 800
Option 4: 300
Correct Answer: 500
Solution : Given: 60% of A = 30% of B, B = 40% of C, and C = $x$% of A Here, C = $x$% of A ⇒ C = $\frac{x×A}{100}$ and B = 40% of C ⇒ B = $\frac{40×C}{100}$ ⇒ B = $\frac{40×x×A}{100×100}$ = $\frac{2×x×A}{500}$
Question : Directions: In a certain code language, N + V means N is the daughter of V, N – V means N is the father of V, N @ V means N is the wife of V, N × V means N is the son of V. If B + R × M – P, then how is B related to M?
Option 1: Sister
Option 2: Daughter
Option 3: Daughter's daughter
Option 4: Son's daughter
Correct Answer: Son's daughter
Solution : According to the given information, the family tree will be – Here, the quadrilateral represents the male, and the circular figure represents the female in the figure.
So, from the above, it is clear that B is the son's daughter (granddaughter) of M. Hence,
Question : The marked price of mustard oil is 25% more than its cost price. At what percentage less than the marked price should it be sold to have no profit and no loss?
Option 1: 15%
Option 2: 20%
Option 3: 18%
Option 4: 22%
Correct Answer: 20%
Solution : Let the cost price be Rs. 100 Then, marked price = 25% of CP = Rs. 125 If the oil is to be sold at no profit and no loss, the selling price should be Rs. 100 $\text{Percentage decrease} = \frac{\text{Marked price – selling price}}{\text{Marked
Question : Select the option that can be used as a one-word substitute for the given group of words. A group of stars having a particular shape.
Option 1: Constellation
Option 2: Planet
Option 3: Orbit
Option 4: Galaxy
Correct Answer: Constellation
Solution : The first option is the correct answer.
A constellation is a group of stars forming a recognisable pattern or shape, often named after mythological figures, animals, or objects. Constellations are visible from Earth and have been used for navigation and storytelling throughout history.
The meanings
Question : Directions: In the following question, a sentence is given with a blank that is to be filled in with an appropriate word. Four alternatives are suggested; choose the correct alternative out of them as your answer. The aim of a Peace Council is ___ rather than cure.
Option 1: salvation
Option 2: preservation
Option 3: maintenance
Option 4: cultivation
Correct Answer: preservation
Solution : The second option is the correct answer: preservation.
Salvation: The act of saving or being saved from a difficult situation, often with a religious connotation.
Preservation: The act of protecting something from damage and maintaining it in its original state.
Maintenance: The
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