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Question : The sentences of a paragraph are given below in jumbled order. Arrange the sentences in the correct order to form a meaningful and coherent paragraph.
A) Benefits of reading have been underlined since ages together. B) Once they understand the sensibleness behind reading, they would pass it on to others as well. C) It brings knowledge and wisdom both to the readers. D) By virtue of a practice at home, this can be suggested to the young ones.
Option 1: ABCD
Option 2: CDBA
Option 3: CDAB
Option 4: ACDB
Correct Answer: ACDB
Solution : The correct choice is the fourth option.
It starts by highlighting the long-standing recognition of reading's advantages (A), followed by how reading enriches knowledge and wisdom (C). It suggests fostering a reading habit at home to encourage younger generations (
Question : If $\triangle PQR$ is right angled at Q, then what is the value of $\cos (P+R)$?
Option 1: 0.5
Option 2: 1
Option 3: 0.2
Option 4: 0
Correct Answer: 0
Solution : $\triangle$PQR is right angled at Q, then $\angle$Q = 90° $\cos(P + R) = \cos(180° − Q)$ (Since the sum of the angle in a triangle is 180°) ⇒ $\cos(P + R) = \cos(180° − 90°)$ ⇒ $\cos(P + R) = \cos 90°$ Since, $\cos
Question : Directions: In the following question, select the missing number from the given responses.
Option 1: 7
Option 2: 5
Option 3: 4
Option 4: 8
Correct Answer: 8
Solution : In the matrix, the numbers in the third row are twice those in the second row.
In column one; 1 × 2 = 2 In column two; 2 × 2 = 4 In column three; 3 × 2 =6 Similarly, in column four; 4 ×
Question : Direction: The bar graph shows the average marks scored in a 100–mark Science exam by students of 7 divisions of Standard X. Study the diagram and answer the following question. If all students of Division A lost 5 marks each for indiscipline, then their new average marks would decrease by how much?
Option 1: 5%
Option 2: 11.11%
Option 3: 6.67%
Option 4: 10%
Correct Answer: 6.67%
Solution : Initial average marks of Division A = 75 marks Decrease in marks of each student = 5 marks So, the decrease in average marks = 5 Loss percentage = $\frac{5}{75}\times 100$ = 6.67% Hence, the correct answer is 6.67%.
Question : The book " The Audacity of Hope' has been written by
Option 1: Nayantara Sehgal
Option 2: Aravind Adiga
Option 3: Vikram Seth
Option 4: Barack Obama
Correct Answer: Barack Obama
Solution : The correct answer is Barack Obama.
The book Audacity of hope is written by Barack Obama, former US president. It is the second book written by him in which he talks about reforming the ways of politics and to build together shared understandings that
Question : Which of the following options gives an expression equivalent to $\sin \ (A + B)$?
Option 1: $\cos\ A \cos\ B - \sin \ A \sin \ B$
Option 2: $\sin\ A \cos \ B + \cos\ A\ \sin \ B$
Option 3: $\cos \ A \cos\ B+\sin\ A \sin \ B$
Option 4: $\sin \ A \cos \ B - \cos \ A \sin \ B$
Correct Answer: $\sin\ A \cos \ B + \cos\ A\ \sin \ B$
Solution : Given: $\sin \ (A + B)$ We know the formula, $\sin\ (A + B) = (\sin\ A \cos\ B + \cos\ A\ \sin\ B)$ Hence, the correct answer is $(\sin\ A \cos \ B +
Question : Who is the author of "I Too Had a Love Story"?
Option 1: Jhumpa Lahiri
Option 2: Amish Tripathi
Option 3: Ravinder Singh
Option 4: Salman Rushdie
Correct Answer: Ravinder Singh
Solution : The correct answer is Ravinder Singh.
I Too Had A Love Story marks Ravinder Singh's debut in the literary world, initially released in 2008. This autobiographical novel delves into Singh's journey through a romantic relationship, offering a poignant and heart-wrenching account of love, loss
Question : In an election between two candidates, a candidate secured 60% of the valid votes and is elected by a majority of 180 votes. The total number of valid votes is:
Option 1: 1200
Option 2: 1000
Option 3: 800
Option 4: 900
Correct Answer: 900
Solution : Let the number of valid votes be $x$. According to the question, $\frac{60x}{100}-\frac{40x}{100}=180$ ⇒ $\frac{20x}{100}=180$ $\therefore x = 900$ Hence, the correct answer is 900.
Question : Select the most appropriate one-word substitution for the given words. A word or law no longer in use
Option 1: Venerable
Option 2: Obsolete
Option 3: Vintage
Option 4: Absolute
Correct Answer: Obsolete
Solution : The correct choice is the second option.
The most suitable one-word substitution for "a word or law no longer in use" is obsolete. This term describes something that is no longer in use or has become outdated. In the context of a word or
Question : If $x+y=4, x^{2}+y^{2}=14$ and $x>y$, then the correct value of $x$ and $y$ is:
Option 1: $2+\sqrt{3} \text{ and } 2-\sqrt{3}$
Option 2: $2-\sqrt{2} \text{ and } \sqrt{3}$
Option 3: $3 \text{ and } 1$
Option 4: $2+\sqrt{3} \text{ and } 2\sqrt{2}$
Correct Answer: $2+\sqrt{3} \text{ and } 2-\sqrt{3}$
Solution : Given: $x^{2}+y^{2}=14$ -----------(i) ⇒ $x+y=4$ ----------------(ii) Squaring on both sides of equation (ii), $(x+y)^{2} = 4^{2}$ ⇒ $x^{2}+y^{2}+2xy = 16$ ⇒ $14+2xy = 16$ ⇒ $2xy = 2$ Subtracting $2xy$ on both sides from equation (i) $x^{2}+y^{2}-2xy = 14-2xy$ ⇒ $(x-y)^{2}
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