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18 Views

Question : El Nino occurs over:

Option 1: Atlantic Ocean

Option 2: Indian Ocean

Option 3: Pacific Ocean

Option 4: Mediterranean Sea

Team Careers360 11th Jan, 2024

Correct Answer: Pacific Ocean


Solution : The correct answer is the Pacific Ocean.

El Nino is a climate phenomenon characterised by unusually warm surface waters in the eastern tropical Pacific Ocean. When the eastern tropical Pacific's coastal waters warm (El Nino), the air pressure above the ocean falls. Increased

5 Views

Question : Directions: If a mirror is placed on line AB, which of the answer figures is the right image of the given figure?

Option 1:

Option 2:

Option 3:

Option 4:

Team Careers360 22nd Jan, 2024

Correct Answer:


Solution : As per mirror image properties, closer things appear close to the mirror in reflection.
According to the information provided, if the mirror is placed on the right side of the figure (on line AB), the right of the reflected image will appear as the left, and

18 Views

Question : If $x+3y=-3x+y$, then $\frac{x^{2}}{2y^{2}}$ is equal to:

Option 1: $\frac{1}{8}$

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

Option 3: $\frac{1}{4}$

Option 4: $4$

Team Careers360 19th Jan, 2024

Correct Answer: $\frac{1}{8}$


Solution : Given:
$x+3y=-3x+y$
Solution:
⇒ $x+3y+3x-y=0$
⇒ $4x+2y=0$
⇒ $2(2x+y)=0$
⇒ $2x+y=0$
⇒ $y=–2x$
Put the value of $y$ in $\frac{x^{2}}{2y^{2}}$
= $\frac{x^{2}}{2(–2x)^{2}}$
= $\frac{x^{2}}{8x^{2}}$
= $\frac{1}{8}$
Hence, the correct answer is $\frac{1}{8}$.

10 Views

Question : If $\cot A=1, \sin B=\frac{1}{\sqrt{2}}$, find the value of $\sin (A+B)-\cot (A+B)$.

Option 1: $1-\sqrt{2}$

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

Option 3: $0$

Option 4: $1$

Team Careers360 15th Jan, 2024

Correct Answer: $1$


Solution : $\cot A = 1= \cot 45°$
$\therefore A = 45°$
$\sin B = \frac{1}{\sqrt{2}}=\sin45°$
$\therefore B = 45°$
$\sin (A+B) = \sin 90° = 1$
$\cot (A+B) = \cot 90° = 0$
$\therefore \sin (A+B) -\cot (A+B) =1-0= 1$
Hence, the correct answer is $1$.

17 Views

Question : Which of the following musical instruments are solid instruments?

Option 1: Tata Vadya

Option 2: Ghana Vadya

Option 3: Avanaddha Vadya

Option 4: Sushira Vadya

Team Careers360 13th Jan, 2024

Correct Answer: Ghana Vadya


Solution : The correct answer is Ghana Vadya.

Ghana vaidyas, or idiophones, are solid instruments known for their rhythmic functions and do not require tuning before playing. These instruments, considered the earliest inventions by humans, were initially an extension of the human body, including items like

8 Views

Question : The volume of a hemisphere is $2425 \frac{1}{2} \mathrm{~cm}^3$. Find its radius.
$\left(\right.$ Take $\left.\pi=\frac{22}{7}\right)$

Option 1: 12 cm

Option 2: 10 cm

Option 3: 10.5 cm

Option 4: 9.5 cm

Team Careers360 25th Jan, 2024

Correct Answer: 10.5 cm


Solution : The volume of hemisphere = $2425 \frac{1}{2} \mathrm{~cm}^3$
Volume of Hemisphere = $\frac{2}{3} × \pi r^3$
⇒ $\frac{2}{3} × \frac{22}{7} × r^3 =  \frac{4851}{2} \mathrm{~cm}^3$
⇒ $r^3 = 1157.63$
⇒ $r = 10.5$ cm
$\therefore$ The correct answer is 10.5 cm.
Hence, the correct

16 Views

Question : If $α$ is an acute angle, $\tan (4α − 50°) = \cot (50° − α)$, then find the value of $α$ (in degrees).

Option 1: 60

Option 2: 45

Option 3: 30

Option 4: 90

Team Careers360 17th Jan, 2024

Correct Answer: 30


Solution : $\tan (4α − 50°)$ = $\cot (50° − α)$ = $\tan(90°–(50° − α))$
⇒ $\tan (4α − 50°)$ = $\tan(90°–(50° − α))$
⇒ $(4α − 50°) = 90°–(50° − α)$
⇒ $4α − 50° = 40°+α$
⇒ $3α = 90°$
⇒ $α = 30°$
Hence,

7 Views

Question : Uttar Pradesh won the 11th Junior National Men’s Hockey Championship following a 3-1 victory over Chandigarh. Where was the event held?

Option 1: Bihar

Option 2: Tamil Nadu

Option 3: Delhi

Option 4: Chandigarh

Team Careers360 17th Jan, 2024

Correct Answer: Tamil Nadu


Solution : The correct answer is Tamil Nadu

Uttar Pradesh Hockey secured an undefeated streak in the 11th Hockey India Junior Men National Championship 2021, clinching the title with a 3-1 win over Hockey Chandigarh in the final at Kovilpatti, Tamil Nadu. Sharda Nand Tiwari, the

14 Views

Question : If $\left(x+\frac{1}{x}\right)=5 \sqrt{2}$, then what is the value of $\left(x^4+x^{-4}\right)$?

Option 1: 2542

Option 2: 2650

Option 3: 2452

Option 4: 2302

Team Careers360 11th Jan, 2024

Correct Answer: 2302


Solution : Given: $\left(x+\frac{1}{x}\right)=5 \sqrt{2}$
Squaring both sides, we get,
⇒ $(x+\frac{1}{x})^2=(5 \sqrt{2})^2$
⇒ $x^2+\frac{1}{x^2}+2=50$
⇒ $x^2+\frac{1}{x^2}=48$
Again squaring both sides, we get:
⇒ $(x^2+\frac{1}{x^2})^2=48^2$
⇒ $x^4+\frac{1}{x^4}+2=2304$
$\therefore x^4+\frac{1}{x^4}=2302$
Hence, the correct answer is 2302.

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