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Question : The graph of the linear equation $y = x$ passes through which points?
Option 1: $(0,\frac{3}{2})$
Option 2: $(1,1)$
Option 3: $(-\frac{1}{2},\frac{1}{2})$
Option 4: $( \frac{3}{2},-\frac{3}{2})$
Correct Answer: $(1,1)$
Solution : Given: $y = x$ is a linear equation, so, check in which option $y=x$ is given Only one option (1,1) satisfies the condition. Hence, the correct answer is (1,1).
Question : Directions: In a class of 45 students, all students participate in one or both of the two games, that is Chess and Badminton. 11 students participate in both games, whereas 17 students participate only in Chess. How many total students participate in Badminton?
Option 1: 24
Option 2: 28
Option 3: 30
Option 4: 26
Correct Answer: 28
Solution : Given: Total number of students = 45 Students participated in both the games = 11 Students participated only in Chess = 17 Students participated in Badminton = (Total number of students – No. of students participated in Chess) = (45 – 17) = 28
So,
Question : The statement below has been given in bracketed text. Select the option with the correct idiom for the bracketed text. You all look great in your costumes! (Good luck!)
Option 1: Come again
Option 2: Don't swear it
Option 3: Break a leg
Option 4: Spit it out
Correct Answer: Break a leg
Solution : The third option is the correct choice.
The expression break a leg is a common idiom used to wish someone good luck, especially in the performing arts. It is a way of offering encouragement and success without directly saying good luck. The phrase
Question : If $\tan (x + y)=1$ and $\cos (x-y)={\frac{\sqrt3}{2}}$, then what is the value of $x$ and $y$?
Option 1: $x = 3^\circ, y = 4.5^\circ$
Option 2: $x = 37.5^\circ, y = 7.5^\circ$
Option 3: $x = 7.5^\circ, y = 37.5^\circ$
Option 4: $x = 4.5^\circ, y = 3^\circ$
Correct Answer: $x = 37.5^\circ, y = 7.5^\circ$
Solution : $\tan (x + y)=1=\tan 45^\circ$ $⇒x+y=45^\circ$ ____(i) $\cos (x-y)={\frac{\sqrt3}{2}}=\cos 30^\circ$ $⇒x+y=30^\circ$ ____(ii) Adding both equations, $⇒2x=75^\circ$ $⇒x=37.5^\circ$ And, $⇒2y=15^\circ$ $⇒y=7.5^\circ$ Hence, the correct answer is $x = 37.5^\circ, y = 7.5^\circ$.
Question : From 40 metres away from the foot of a tower, the angle of elevation of the top of the tower is 60°. What is the height of the tower?
Option 1: $\frac{120}{\sqrt{3}}$ m
Option 2: $\frac{60}{{\sqrt3}}$ m
Option 3: $\frac{50}{{\sqrt3}}$ m
Option 4: $\frac{130}{{\sqrt7}}$ m
Correct Answer: $\frac{120}{\sqrt{3}}$ m
Solution : Let height of the tower = $h$ m From the figure, $\tan 60°=\frac{h}{40}$ ⇒ $\sqrt{3}=\frac{h}{40}$ ⇒ $h=40\sqrt{3}$ m Rationalising we get, ⇒ $ h =40\sqrt{3} \times \frac{\sqrt{3}}{\sqrt{3}} = \frac{120}{\sqrt{3}}$ m Hence, the correct answer is $\frac{120}{\sqrt{3}}$ m.
Question : Abul Fazl was the son of which Sufi saint?
Option 1: Sheikh Mubarak
Option 2: Hazrat Khwaja
Option 3: Nasiruddin Chiragh Dehlavi
Option 4: Baba Qutbuddin Bakhtiyar Kaki
Correct Answer: Sheikh Mubarak
Solution : The answer is Sheikh Mubarak
Abul Fazl was the younger brother of Faizi, a well-known poet in the court of Akbar, and the son of Sheikh Mubarak, a renowned Sufi from Persia. Abu'l Fazl, also known as Shaikh Abu al-Fazl ibn Mubarak, served as
Question : Directions: Words given on the left side of (::) are related to each other by some Logic/Rule/Relation. Select the missing word/word pair on the right side of (::) from the given alternatives based on the same Logic/Rule/Relation. Axe : Woodcutter :: ?
Option 1: Author : Pen
Option 2: Surgeon : Scalpel
Option 3: Spade : Labourer
Option 4: Doctor : Stethoscope
Correct Answer: Spade : Labourer
Solution : Given: Axe : woodcutter (Woodcutter uses the axe to cut the trees.)
Let's check the options – First option: Author : Pen; Pen is used by the Writer, not the Author. Second option: Surgeon : Scalpel; The Surgeon uses a scalpel but the
Question : There is a ratio of 5 : 4 between the two numbers. If 40% of the first number is 12, then what would be 50% of the second number?
Option 1: 12
Option 2: 24
Option 3: 18
Option 4: Data inadequate
Correct Answer: 12
Solution : 40% of the first number = 12 First number = $\frac{12×100}{40}$ = 30 Ratio = 5 : 4 Second number = $\frac{4×30}{5}$ = 24 50% of the second number = $\frac{24×50}{100}$ = 12 Hence, the correct answer is 12.
Question : Select the most appropriate option to fill in the blank.
The event acts as a trigger, or _________, which catapults them into an awareness of this phenomenon.
Option 1: dogma
Option 2: catalyst
Option 3: elegy
Option 4: harangue
Correct Answer: catalyst
Solution : The correct choice is the second option.
A catalyst is something that speeds up a reaction or process. In this context, it implies that the event acts as a trigger or something that propels individuals into becoming aware of the phenomenon.
The meanings of the
Question : How many points are there in the 4th set in volleyball?
Option 1: 15
Option 2: 16
Option 3: 25
Option 4: 8
Correct Answer: 25
Solution : The correct option is 25.
Volleyball matches are best-of-five-set competitions, according to the regulations. If the sides are tied at two sets each after four sets, the fifth set is played for 15 points. The first four sets are played until one team scores
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