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12 Views

Question : The Annual Session of the Congress in 1907 was held at:

Option 1: Tripuri

Option 2: Surat

Option 3: Bhopal

Option 4: Ahmedabad

Team Careers360 24th Jan, 2024

Correct Answer: Surat


Solution : The correct option is Surat.

In 1907, Surat hosted the Indian National Congress's Annual Session. The internal disputes and divisions that arose within the party during the Congress' Surat Session are noteworthy. During this session of the Indian National Congress, there was a split

5 Views

Question : For the triangle $PQR$, find the equation of altitude $PS$, if the co-ordinates of $P, Q, R$ are (1, 2), (2, –1), and (0, 5), respectively.

Option 1: $x–3y=–7$

Option 2: $x+3y=–5$

Option 3: $x–3y=–5$

Option 4: $x+3y=–7$

Team Careers360 19th Jan, 2024

Correct Answer: $x–3y=–5$


Solution :
Given: Co-ordinates of $P, Q, R$ are (1, 2), (2, –1), and (0, 5).
Slope of the line $QR=\frac{y_2–y_1}{x_2–x_1}$
⇒ $\frac{5–(–1)}{0–2}=\frac{6}{–2}=–3$
$PS$ is $\perp $ to $QR$.
Let the slope of line $PS=m$
⇒ $m×–3=–1$
⇒ $m=\frac{1}{3}$
The equation of the line with slope $m$

13 Views

Question : As of March 2022, which of the following has not been a theme of the Independence Day celebrations?

Option 1: Nation First Always First

Option 2: Yaad Karo Kurbani

Option 3: Service Before Self

Option 4: Towards True Freedom

Team Careers360 20th Jan, 2024

Correct Answer: Service Before Self


Solution : The correct answer is Service Before Self.

'Seva Paramo Dharma' means service before self, which is the motto of the Indian Army. The Indian Army is a major constituent of national power. It is the biggest voluntary military force in the world.

59 Views

Question : Directions: Which of the following four options will replace the question mark (?) in the following series?
9, 45, ?, 540, 1080

Option 1: 180

Option 2: 240

Option 3: 300

Option 4: 360

Team Careers360 22nd Jan, 2024

Correct Answer: 180


Solution : Given:
9, 45, ?, 540, 1080

Multiply the numbers starting from 5 in decreasing order –
9 × 5 = 45; 45 × 4 = 180; 180 × 3 = 540; 540 × 2 = 1080

So, the missing number is 180. Hence, the first

94 Views

Question : Manoj bought two TVs for Rs. 2280. He sold one at a loss of 20% and the other at a profit of 10%. If each TV was sold for the same price, then what is the cost price of the TV that was sold at a loss?

Option 1: Rs. 1380

Option 2: Rs. 1320

Option 3: Rs. 1050

Option 4: Rs. 1440

Team Careers360 25th Jan, 2024

Correct Answer: Rs. 1320


Solution : Let the cost price of the TV sold at a loss as L and the cost price of the TV sold at a profit as P. 
Given that Manoj bought two TVs for Rs. 2280.
$⇒L + P = 2280$ ____(1)
He sold the

21 Views

Question : Find the three consecutive numbers such that twice the first, three times the second and four times the third together make 191.

Option 1: 19, 20 and 21

Option 2: 21, 22 and 23

Option 3: 20, 21 and 22

Option 4: 21, 23 and 24

Team Careers360 19th Jan, 2024

Correct Answer: 20, 21 and 22


Solution : Let the three consecutive numbers be $x, x+1$ and $x+2$.
$⇒ 2x + 3(x+1) + 4(x+2) = 191$
$⇒ 2x + 3x + 3 + 4x + 8 = 191$
$⇒ 9x + 11 = 191$
$⇒ 9x = 180$
$⇒ x

16 Views

Question : What is the value of $\frac{\frac{1}{3}+\frac{1}{3}\times\frac{1}{3}}{\frac{1}{3}\times\frac{1}{3}+\frac{1}{3}}$?

Option 1: 1

Option 2: 3

Option 3: $\frac{1}{3}$

Option 4: $\frac{1}{2}$

Team Careers360 22nd Jan, 2024

Correct Answer: 1


Solution : Given:
$\frac{\frac{1}{3}+\frac{1}{3}\times\frac{1}{3}}{\frac{1}{3}\times\frac{1}{3}+\frac{1}{3}}$
$= \frac{\frac{1}{3}+\frac{1}{9}}{\frac{1}{9}+\frac{1}{3}}$
$= \frac{\frac{4}{9}}{\frac{4}{9}}$
$= 1$
Hence, the correct answer is 1.

15 Views

Question : Name the clan Buddha belonged to

Option 1: Gnathrika

Option 2: Maurya

Option 3: Shakya

Option 4: Kuru

Team Careers360 21st Jan, 2024

Correct Answer: Shakya


Solution : The correct option is Shakya.

Buddha was born to Shakya clan royal parents in Lumbini, in what is now Nepal. In his early years, he was called Siddhartha Gautama. His mother was Queen Maya, and his father was King Suddhodana, the Shakya clan's ruler.

20 Views

Question : Direction: In the given question, select the related letter from the given alternatives.

BED : GJI :: LON : ?

 

Option 1: QTS

Option 2: PTS

Option 3: QST

Option 4: KNH

Team Careers360 19th Jan, 2024

Correct Answer: QTS


Solution : Given:

BED : GJI :: LON : ?

In the first pair →

B + 5 = G; E + 5 = J; D + 5 = I

Similarly, in the second pair →

L + 5 = Q; O + 5 = T; N

23 Views

Question : Determine the value of $x$, if $x = \frac{(943+864)^2-(943-864)^2}{(1886\times1728)}$.

Option 1: 1

Option 2: 4

Option 3: 79

Option 4: 1789

Team Careers360 20th Jan, 2024

Correct Answer: 1


Solution : Given:
$x = \frac{(943+864)^2-(943-864)^2}{(1886\times1728)}$
This can be simplified using the identity $(a+b)^2 - (a-b)^2 = 4ab$, where $a = 943$ and $b = 864$. 
⇒ $x = \frac{4×943×864}{1886\times1728}$
⇒ $x = \frac{2×943×2×864}{1886\times1728}$
⇒ $x=1$
Hence, the correct answer is $1$.

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