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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

Team Careers360 21st Jan, 2024

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.

6 Views

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

Team Careers360 24th Jan, 2024

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

117 Views

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

Team Careers360 19th Jan, 2024

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 =

29 Views

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

Team Careers360 19th Jan, 2024

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

29 Views

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

Team Careers360 23rd Jan, 2024

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

26 Views

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

Team Careers360 25th Jan, 2024

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

19 Views

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

Team Careers360 25th Jan, 2024

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.

81 Views

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

Team Careers360 18th Jan, 2024

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

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