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20 Views

Question : If the LCM of two numbers 260 and 390 is 780, then find the HCF.

Option 1: 140

Option 2: 133

Option 3: 130

Option 4: 120

Team Careers360 20th Jan, 2024

Correct Answer: 130


Solution : Given numbers = 260 and 390
LCM = 780
We know,
Multiplication of two numbers = HCF × LCM
⇒ 260 × 390 = 780 × HCF
⇒ HCF = 130
Hence, the correct answer is 130.

17 Views

Question : Which of the following states has a bicameral Legislature as of March 2022?

Option 1: Odisha

Option 2: Gujarat

Option 3: Karnataka

Option 4: Kerala

Team Careers360 25th Jan, 2024

Correct Answer: Karnataka


Solution : The correct answer is Karnataka.

The upper house of the Karnataka state legislature is called the Karnataka Legislative Council, formerly known as the Mysore Legislative Council.

The lower house of the bicameral legislature in India is called the Legislative Assembly, and Karnataka is one

10 Views

Question : If $x=p+\frac{1}{p}$ and $y=p-\frac{1}{p}$, then the value of $x^{4}-2x^{2}y^{2}+y^{4}$ is:

Option 1: 24

Option 2: 4

Option 3: 16

Option 4: 8

Team Careers360 18th Jan, 2024

Correct Answer: 16


Solution : $x = p+\frac{1}{p}$
$y = p-\frac{1}{p}$
Now, $x^{4}-2x^{2}y^{2}+y^{4}$
= $(x^{2}-y^{2})^{2}$
= $((x+y)(x-y))^{2}$
= $[(p+\frac{1}{p}+p-\frac{1}{p})(p+\frac{1}{p}-(p-\frac{1}{p})]^{2}$
= $[2×p×2×\frac{1}{p}]^{2}$
= 16
Hence, the correct answer is 16.

4 Views

Question : A wire is in the form of a square with a side of 11 cm. It is bent to form a circle. What is the radius of the circle?

Option 1: 11 cm

Option 2: 5 cm

Option 3: 9 cm

Option 4: 7 cm

Team Careers360 24th Jan, 2024

Correct Answer: 7 cm


Solution : Side of square = 11 cm
Perimeter of square = 4 × side
Perimeter of square = 4 × 11 = 44 cm
Circumference of circle = 2π$r$ where $r$ is the radius of the circle.
The perimeter of the square = Circumference of

149 Views

Question : The below bar graph shows the marks obtained by a student in an examination. What is the average mark obtained by the student?

Option 1: 50

Option 2: 60

Option 3: 80

Option 4: 30

Team Careers360 15th Jan, 2024

Correct Answer: 60


Solution : Average marks $=\frac{\text{Sum of marks in all subjects}}{\text{Number of subjects}} = \frac{70+60+40+50+80}{5} = 60$
Hence, the correct answer is 60.

18 Views

Question :

Directions: In the following question, select the related word from the given alternatives.
Mass : Kilogram :: Volume : ?

Option 1: Joule

Option 2: Litre

Option 3: Degree

Option 4: Volt

Team Careers360 17th Jan, 2024

Correct Answer: Litre


Solution : Given:
Mass : Kilogram :: Volume : ?

The unit of mass is kilogram.
Similarly, the unit of volume is litre.

Hence, the second option is correct.

12 Views

Question : The 'Slack Season' in the Indian economy is

Option 1: March-April

Option 2: September-December

Option 3: January-June

Option 4: February-April

Team Careers360 25th Jan, 2024

Correct Answer: January-June


Solution : The correct answer is January-June.

According to the Indian Economy, the Slack Season means those seasons of the year when the demand is very low or dull as compared to the other seasons. During this time, the growth rate of money is reflected in

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