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19 Views

Question : Directions: Select the Venn diagram that best illustrates the relationship between the following classes.
Eatables, Bananas, Fruits

Option 1:

Option 2:

Option 3:

Option 4:

Team Careers360 15th Jan, 2024

Correct Answer:


Solution : Fruits are a broader category that includes various types of fruits, and Bananas are a specific type of fruit. Eatables is an even broader category that encompasses various types of foods, including fruits.

Therefore, the Venn diagram will be as follows –

Hence, the fourth option

24 Views

Question : Which one of the following is presently the largest oil refinery of India ?

Option 1: Vadodara (IOS)

Option 2: Mathura (IOS)

Option 3: Vishakhapatnam (HPCL)

Option 4: Mumbai (BPCL)

Team Careers360 19th Jan, 2024

Correct Answer: Vadodara (IOS)


Solution : The correct answer is Vadodara (IOS).

Jamnagar Oil Refinery is the largest oil refinery in India, located in Vadodara Gujarat. It was commissioned on 14 July 1999. It is a privately owned crude oil refinery in India. It is also the largest oil refinery

25 Views

Question : If $\frac{(x+y)}{z}=2$, then what is the value of $[\frac{y}{(y-z)}+\frac{x}{(x-z)}]?$

Option 1: $0$

Option 2: $1$

Option 3: $2$

Option 4: $–1$

Team Careers360 15th Jan, 2024

Correct Answer: $2$


Solution : Given:
$\frac{(x+y)}{z}=2$
⇒ $y=2z-x$
⇒ $y-z=z-x$
Now, $[\frac{y}{(y-z)}]+[\frac{x}{(x-z)}]$
= $[\frac{y}{(z-x)}]+[\frac{x}{(x-z)}]$
= $[-\frac{y}{(x-z)}]+[\frac{x}{(x-z)}]$
= $[\frac{-y+x}{(x-z)}]$
= $[\frac{-(2z-x)+x}{(x-z)}]$ [After putting value of $y$]
= $[\frac{2(x-z)}{(x-z)}]$
= $2$
Hence, the correct answer is $2$.

8 Views

Question : 'Loktak' is a 

Option 1: Valley

Option 2: Lake

Option 3: River

Option 4: Mountain Range

Team Careers360 15th Jan, 2024

Correct Answer: Lake


Solution : The correct option is lake.

Loktak Lake is located in the northeastern Indian state of Manipur. Loktak Lake's average depth is roughly 2.7 metres (8.9 feet), however it varies depending on part of the lake. Loktak Lake is the largest freshwater lake in northeastern India

9 Views

Question : Which among the following sportspersons died on being hit by a ball during a match?

Option 1: Raman Lamba

Option 2: Prithipal Singh

Option 3: Syed Modi

Option 4: Krishanu Dey

Team Careers360 23rd Jan, 2024

Correct Answer: Raman Lamba


Solution : The correct option is Raman Lamba

During a cricket match, former Indian cricket player Raman Lamba passed away after being struck by a cricket ball. The incident happened on February 20, 1998, in Dhaka, Bangladesh, during a club match.

12 Views

Question : The length, breadth, and height of a cuboidal room are given as 80 m, 70 m, and 80 m, respectively. What will be the total cost of painting the four walls of this room, at the rate of 50 paise per square metre?

Option 1: INR 1,20,000

Option 2: INR 28,000

Option 3: INR 48,000

Option 4: INR 12,000

Team Careers360 23rd Jan, 2024

Correct Answer: INR 12,000


Solution : The length of the cuboidal room = 80 m
The breadth of the cuboidal room = 70 m
The height of the cuboidal room = 80 m
Cost of painting per square metre = 50 paise
Area of four walls of cuboid = 2

20 Views

Question : In a circle with centre O, AD is a diameter and AC is a chord. Point B is on AC such that OB = 7 cm and $\angle OBA=60^{\circ}$. If $\angle \mathrm{DOC}=60^{\circ}$, then what is the length of BC?

Option 1: $3 \sqrt{7} \mathrm{~cm}$

Option 2: $3.5 \mathrm{~cm}$

Option 3: $7 \mathrm{~cm}$

Option 4: $5 \sqrt{7} \mathrm{~cm}$

Team Careers360 19th Jan, 2024

Correct Answer: $7 \mathrm{~cm}$


Solution :
Given,
AD is a diameter
AC is a chord
OB = 7
$\angle{OBA} = 60°$
$\angle{DOC} = 60°$
Now, $\angle{DOC} + \angle{AOC} = 180°$ (The sum of the angles on a straight line is 180°) 
⇒ $60° + \angle{AOC} = 180°$
⇒ $ \angle{AOC}=

14 Views

I was born on 6/08/2006 .. This year i will appearing for class 10th boards .. will i be able to appear for NDA examination in 2026?

Manha AK 16th Dec, 2024

For NDA 1 in July 2026, you must be born in between 2nd July 2006 and 1st July 2009 and for NDA 2 in September 2026, you must be born in between 2nd January 2007 and 1st January 2010 . Since you are born in august 2006 , you are

13 Views

Question : The value of exponential form of $\sqrt{\sqrt{2}\sqrt{3}}$ is:

Option 1: $6$

Option 2: $6^{\frac{1}{2}}$

Option 3: $6^{-\frac{1}{2}}$

Option 4: $6^{\frac{1}{4}}$

Team Careers360 20th Jan, 2024

Correct Answer: $6^{\frac{1}{4}}$


Solution : Given: $\sqrt{\sqrt{2}\sqrt{3}}$
Simplifying this expression, we have,
= $\sqrt{\sqrt{6}}$
= $\left (6^{\frac{1}{2}}  \right )^\frac{1}{2}$
= $6^{\frac{1}{4}}$
Hence, the correct answer is $6^{\frac{1}{4}}$.

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