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Question : In an equilateral triangle ABC, P is the centroid of this triangle. Side of $\triangle A B C$ is $16 \sqrt{3} \ \text{cm}$. What is the distance of point P from side BC?
Option 1: 8 cm
Option 2: 12 cm
Option 3: 9 cm
Option 4: 10 cm
Correct Answer: 8 cm
Solution : Height $=$ AD $=\frac{\sqrt3}{2}\times \text{side} = \frac{\sqrt3}{2}\times 16\sqrt{3} = 24$ cm Now, AP : PD = 2 : 1 Let AP = $2x$ and PD = $x$, Then, PD = $3x$ Here, $3x=24$ ⇒ $x=8$ cm Hence, the correct answer is 8 cm.
Question : To which political party did Chakravarti Rajagopalachari belong to at the time of his demise?
Option 1: Congress
Option 2: Republican
Option 3: Jan Sangh
Option 4: Swatantra
Correct Answer: Swatantra
Solution : The correct answer is Swatantra.
The Swatantra Party, active from 1959 to 1974, was an Indian political party championing classical liberal ideals. It was initiated by C. Rajagopalachari as a response to what he perceived, as the socialist and statist direction of the dominant
Question : What are the values of R and M, respectively, if the given number is perfectly divisible by 16 and 11? 34R05030M6
Option 1: 4 and 6
Option 2: 7 and 5
Option 3: 5 and 5
Option 4: 5 and 7
Correct Answer: 5 and 5
Solution : Any number that has 4 or greater than 4 digits is divisible by 16 if and only if the last 4 digits of the number are divisible by 16. Last 4 digits = 30M6 $\frac{30M6}{16}$ should be a whole number. So M =
Question : Who among the following was the first Indian female musician to win the Grammy award?
Option 1: Neeti Mohan
Option 2: Tanvi Shah
Option 3: Shweta Pandit
Option 4: Shalmali Kholgade
Correct Answer: Tanvi Shah
Solution : The correct option is Tanvi Shah.
Tanvi Shah is the first Indian female musician to win a Grammy Award. She won the award in 2010 for Best Song Written for Motion Picture, Television, or Other Visual Media for her Spanish lyrics for the
Question : Flight A usually takes 1 hour more than Flight B to travel a distance of 7200 km. Due to engine trouble, the speed of Flight B falls by a factor of $\frac{1}{6}$th, so it takes 36 minutes more than Flight A to complete the same journey. What is the speed of Flight A (in km/h)?
Option 1: 800
Option 2: 900
Option 3: 750
Option 4: 720
Correct Answer: 800
Solution : Let the speed of flight A be $x$ km/h and the speed of flight B be $y$ km/h. $\frac{7200}{x} = \frac{7200}{y}$+1-------------------------------(i) After engine trouble, speed of flight B = $x–\frac{x}{6} = \frac{5x}{6}$ and it takes 36 minutes more than flight A. $\frac{7200}{x} = \frac{7200×6}{5y}–\frac{36}{60}$-------------------------(ii) Equating
Question : Select the correct spelling of the underlined word in the given sentence. Incidently, I happened to bump into my childhood friend at the airport yesterday.
Option 1: Incidantly
Option 2: Incidentaly
Option 3: Incidantally
Option 4: Incidentally
Correct Answer: Incidentally
Solution : The word with the spelling error is Incidently.
Explanation: The correct spelling is incidentally, which means happening by chance or unexpectedly. The incorrect options are misspellings and do not adhere to the standard spelling rules.
So, the correct sentence would be: "Incidentally
Question : If a nine-digit number 785$x$3678y is divisible by 72, then the value of ($x$ – $y$) is:
Option 1: –2
Option 2: 0
Option 3: 2
Option 4: –1
Correct Answer: 2
Solution : 785$x$3678y is divisible by 72. ⇒ 785$x$3678y is divisible by 8 and 9. 78$y$ is divisible by 8 only when $y$ = 4 So, the number becomes 785$x$36784. 785$x$36784 is divisible by 9 when the sum of digits of the number is divisible by 9.
Question : If a 7-digit number 54p3987 is divisible by 11, then p is equal to:
Option 1: 5
Option 2: 9
Option 3: 4
Option 4: 1
Correct Answer: 5
Solution : Given: a 7-digit number 54p3987 is divisible by 11 ⇒ 5 + p + 9 + 7 – 4 – 3 – 8 = 0 or multiple of 11 ⇒ 21 + p – 15 = 0 or multiple of 11 ⇒ 6 + p
Question : Comprehension: In the following passage, some of the words have been deleted. Read the passage carefully and select the correct answer for the given blank out of the four alternatives.
Fresh pineapple, chilled watermelon, and an icy cold soft drink on a hot summer's day. What do these things have in (1)_____? They all taste so good because of the sweetness the sugar in them provides. When you think of sugar, you probably picture the white (2)_____ you put in cookies, that your parents put in their coffee, or that you (3)_____ on your cereal. Actually, this is just one kind of sugar, called sucrose, which is (4)______ from sugar cane or sugar beets. Technically, sugar is a carbohydrate that occurs (5)_____ in every fruit and vegetable.
Select the most appropriate option to fill in the blank number (5).
Option 1: fortunately
Option 2: mentally
Option 3: happily
Option 4: naturally
Correct Answer: naturally
Solution : The correct answer is the fourth option.
The adverb naturally is the most suitable choice, as it accurately conveys the idea that sugar occurs as a natural component in these food items.
Therefore, the correct answer is naturally.
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.
Human activities are changing Earth's natural greenhouse 1. _________. Burning fossil fuels like coal and oil puts 2. _________carbon dioxide into our atmosphere. NASA has 3.__________increase in the amount of carbon dioxide and some other greenhouse gases in 4. ___________atmosphere. Too much of these greenhouse gases can 5. __________Earth's atmosphere to trap more and more heat. This causes Earth to warm up.
Question: Select the most appropriate option to fill in the blank No. 3.
Option 1: to observe
Option 2: observing
Option 3: observe
Option 4: observed
Correct Answer: observed
Solution : The fourth option is correct.
Explanation:
In the sentence, "an increase in the amount of carbon dioxide" indicates what NASA has observed, specifically a rise in the quantity of carbon dioxide. So, the sentence means that NASA has detected and documented a rise in
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