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14 Views

Question : Directions: In the following question, select the related number from the given alternatives.
850 : 863 :: 430 : ?

Option 1: 437

Option 2: 442

Option 3: 435

Option 4: 451

Team Careers360 23rd Jan, 2024

Correct Answer: 437


Solution : Given:
850 : 863 :: 430 : ?

850 : 863→Add all the digits in 850→8 + 5 + 0 = 13 
Now, add 13 to 850→850 + 13 = 863
Similarly, 430 : ?→Add all the digits in 430→4 + 3 + 0 =

4 Views

Question : Which of the following statements is correct?
I. If $x = 12, y = -2$ and $z = -10$, then $x^3+y^3+z^3=720$
II. If $x + y = 48$ and $4xy =128$, then the value of $4x^2+4y^2$ is 8960

Option 1: Neither I nor II

Option 2: Only I

Option 3: Both I and II

Option 4: Only II

Team Careers360 23rd Jan, 2024

Correct Answer: Both I and II


Solution : I. $x = 12, y = -2, z = -10$
$x^3+y^3+z^3$
$= 12^3 + (-2)^3 + (-10)^3$
$=1728-8-1000$
$=720$
So, $x^3+y^3+z^3=720$

II. $x + y = 48$
⇒ $4xy =128$
⇒ $xy = 32$
⇒ $4x^2+4y^2=4(x^2+y^2)$
$=4[(x+y)^2-2xy]$
$=4[48^2-2×32]$
$=9216-256$
$=8960$
S0, $4x^2+4y^2=8960$

13 Views

Question : What is the HCF of 225 and 425?

Option 1: 5

Option 2: 17

Option 3: 25

Option 4: 9

Team Careers360 22nd Jan, 2024

Correct Answer: 25


Solution : Prime factors of 225 = 32 × 52
Prime factors of 425 = 52 × 17
So, the HCF of 225 and 425 = 52 = 25
Hence, the correct answer is 25.

6 Views

Question : Under which article of the Constitution can an individual move the Supreme Court directly in case of any violation of fundamental rights?

Option 1: Article 32

Option 2: Article 28

Option 3: Article 29

Option 4: Article 31

Team Careers360 14th Jan, 2024

Correct Answer: Article 32


Solution : The correct answer is Article 32.

Article 32 is a fundamental right enshrined in Part III of the Indian Constitution. It is often referred to as the " heart and soul" of the Constitution by Dr. B. R. Ambedkar. This is because it

28 Views

Question : The following sentence has been divided into parts. One of them may contain an error. Select the part that contains the error from the given options. If you don't find any errors, mark 'No Error' as your answer.

The man / is a / social animal. / No Error

Option 1: social animal

Option 2: The man

Option 3: is a 

Option 4: No Error

Team Careers360 24th Jan, 2024

Correct Answer: The man


Solution : The correct choice is the second option.

The is generally used with a particular person, place, or thing or when the meaning is specific. It is also used to refer to things that are unique. Since man is a general term referring to mankind

39 Views

Question : The ratio of monthly incomes of A and B is 4 : 5 respectively. The ratio of monthly savings of A and B is 14 : 19 respectively. If the monthly expenditure of A and B is INR 1200 each, then what is the difference between the monthly incomes of A and B?

Option 1: INR 2000

Option 2: INR 4000

Option 3: INR 1000

Option 4: INR 5000

Team Careers360 17th Jan, 2024

Correct Answer: INR 1000


Solution : Given: The ratio of monthly incomes of A and B is 4: 5 respectively.
The ratio of monthly savings of A and B is 14: 19 respectively.
Let the ratio of monthly incomes of A and B be $4x: 5x$ respectively.
Let the ratio

18 Views

Question : Parallel sides of a trapezium are 21 cm and 14 cm and its area is 875 cm2. What is the distance between parallel sides?

Option 1: 45 cm

Option 2: 60 cm

Option 3: 50 cm

Option 4: 65 cm

Team Careers360 19th Jan, 2024

Correct Answer: 50 cm


Solution : Given, the parallel sides of a trapezium are 21 cm and 14 cm and its area is 875 cm2
Area of trapezium = $\frac{1}{2}\times (a+b)\times h$
where $a$ and $b$ are parallel sides and $h$ is the distance between parallel sides.
So, $\frac{1}{2}\times(21+14)\times

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