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Question : It is given that $\triangle \mathrm{PQR} \cong \triangle \mathrm{MNY}$ and $PQ=8\ \mathrm{cm}, \angle Q = 55°$ and $\angle P = 72°$. Which of the following is true?
Option 1: $\mathrm{NY}=8 \mathrm{~cm}, \angle \mathrm{Y}=72^{\circ}$
Option 2: $\mathrm{NM}=8 \mathrm{~cm}, \angle \mathrm{M}=53^{\circ}$
Option 3: $\mathrm{NM}=8 \mathrm{~cm}, \angle \mathrm{Y}=53^{\circ}$
Option 4: $\mathrm{NY}=8 \mathrm{~cm}, \angle \mathrm{N}=55^{\circ}$
Correct Answer: $\mathrm{NM}=8 \mathrm{~cm}, \angle \mathrm{Y}=53^{\circ}$
Solution : In $\triangle PQR,$ $\angle P + \angle Q +\angle R = 180°$ ⇒ $72°+55°+\angle R = 180°$ ⇒ $\angle R = 180° - 127°$ ⇒ $\angle R = 53°$ As $\triangle \mathrm{PQR} \cong \triangle \mathrm{MNY}$, ⇒ $\angle Y = \angle R=53° $
Question : Select the option that correctly expresses the following sentence in active voice. It has been done by them.
Option 1: They has done it.
Option 2: They have done it.
Option 3: They did it.
Option 4: They had done it.
Correct Answer: They have done it.
Solution : The correct choice is the second option.
Active voice is the voice where the subject performs the action. When converting a sentence from the passive voice to the active voice, the focus shifts to the subject performing the action rather than the
Question : Which of the following is not a food preservative?
Option 1: Aqua regia
Option 2: Vinegar
Option 3: Sodium chloride
Option 4: Sodium nitrite
Correct Answer: Aqua regia
Solution : The correct answer is Aqua regia.
Aqua regia is not a food preservative. It is a highly corrosive mixture of nitric acid and hydrochloric acid. It is typically used for dissolving noble metals, not for preserving or extending the shelf life of food.
Question : Directions: In the following question, the sentence given with a blank is to be filled in with an appropriate word. Select the correct alternative out of the four.
The actor died when his car turned ___.
Option 1: Tiger
Option 2: Tortoise
Option 3: Across
Option 4: Turtle
Correct Answer: Turtle
Solution : The correct choice is the fourth option "turtle".
"Turned turtle'' fits perfectly to convey the intended meaning of the sentence that the actor died in a car accident when his car overturned. ''Turned turtle'' is an idiom used to describe a situation where a vehicle
Question : Directions: In a code language, the following alphabets are coded in a particular way as shown. How are the given letters coded in that language? DEXSAJ
Option 1: 754613
Option 2: 745163
Option 3: 746513
Option 4: 745613
Correct Answer: 745613
Solution : Given: Code for DEXSAJ; D = 7; E = 4; X = 5; S = 6; A = 1; J = 3
So, DEXSAJ can be coded as 745613. Hence, the fourth option is correct.
Question : Who among the following is the executive head of state in India?
Option 1: Prime Minister
Option 2: President
Option 3: Cabinet Secretary
Option 4: Finance Secretary
Correct Answer: President
Solution : The correct answer is President.
Article 77 of the Indian constitution mentions that all the executive actions of the Union of India should be done on the name of President. It mentions President as the executive head of the state. Article 58 provides for the
Question : A trader allows two successive discounts of 30% and 15% on selling an article. If he gets Rs. 476 for that article, find its marked price.
Option 1: Rs. 700
Option 2: Rs. 400
Option 3: Rs. 900
Option 4: Rs. 800
Correct Answer: Rs. 800
Solution : Let the marked price be Rs. $x$. For two successive discounts of 30% and 15%, Selling price = $\frac{100-\text{Discount}_1\%}{100}× \frac{100-\text{Discount}_2\%}{100}×$ Marked price $⇒x×\frac{100-30}{100}×\frac{100-15}{100}=476$ $⇒x×\frac{70}{100}×\frac{85}{100}=476$ $⇒x=476×\frac{100}{70}×\frac{100}{85}$ $\therefore x=800$ Hence, the correct answer is Rs. 800.
Question : Comprehension: In the following passage, some words have been deleted. Read the passage carefully and select the most appropriate option to fill in each blank. Human migration may be traced all the way back to the (1)________ of time, and humans have been on the move ever since. Climate change, war and displacement, economic considerations, living conditions, family and clan (2)________, and, more recently, educational possibilities are all reasons for migration. Because there are several reasons for migration, migration patterns are (3)_________. Potential migrants will not only (4)_________whether or not to migrate, but also where they will go. Individuals with (5) ________ observed and unobserved features will make diverse decisions and self-select into specific areas.
Select the most appropriate option to fill in the blank number 5.
Option 1: considering
Option 2: varying
Option 3: convincing
Option 4: experiencing
Correct Answer: varying
Solution : The second option is the correct choice.
Varying means showing diversity or differences. In the context of the sentence, the term varying accurately conveys the idea that individuals have diverse and differing characteristics.
The meanings of other options are as follows:
Considering means thinking about
Question : The Tripartite Struggle, also known as the Kannauj Triangle Wars, took place in the 8th and 9th centuries, between which of these three great Indian dynasties?
Option 1: The Paramars, The Chauhans The Gahadavalas
Option 2: The Palas, The Pratiharas and The Rashtrakutas
Option 3: The Pandyas,The Pratiharas and The Rashtrakutas
Option 4: The Cholas, The Pratiharas and The Rashtrakutas
Correct Answer: The Palas, The Pratiharas and The Rashtrakutas
Solution : The correct option is The Palas, The Pratiharas and The Rashtrakutas.
The Tripartite Struggle, also known as the Kannauj Triangle Wars, took place in the 8th and 9th centuries AD in India. The three main Indian dynasties involved in
Question : Which of the following comes under the Union List of the 7th schedule of the Indian constitution?
Option 1: Public Health and sanitation
Option 2: Public order
Option 3: Hospitals and dispensaries
Option 4: Establishment of standards of weight and measure
Correct Answer: Establishment of standards of weight and measure
Solution : The correct option is the Establishment of standards of weight and measure.
The establishment of standards of weights and measures is a subject that falls under the Union List of the Seventh Schedule of the Indian Constitution. This means
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