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16 Views

Question : Directions: In the following question, select the related letters from the given alternatives.
NA : SF :: OB : ?

Option 1: IJ

Option 2: TG

Option 3: RG

Option 4: TH

Team Careers360 21st Jan, 2024

Correct Answer: TG


Solution : Given:
NA : SF :: OB : ?

Add 5 to the place value of each letter of the given term, to obtain the required term –
Like, NA : SF→N + 5 = S; A + 5 = F
Thus, NA is coded as

14 Views

Question : If $a+b=1$, then $a^4+b^4-a^3-b^3-2a^2b^2+ab$ is equal to:

Option 1: 1

Option 2: 2

Option 3: 4

Option 4: 0

Team Careers360 19th Jan, 2024

Correct Answer: 0


Solution : Given: $a+b=1$ (equation 1)
We know that the algebraic identities are $(a-b)^2=a^2+b^2-2ab$, $(a^3+b^3)=(a+b)(a^2-ab+b^2)$ and $(a^2-b^2)=(a+b)(a-b)$.
So, $a^4+b^4-2a^2b^2-a^3-b^3+ab$
$=(a^2-b^2)^2-(a^3+b^3)+ab$
$=(a+b)^2(a-b)^2-(a+b)(a^2-ab+b^2)+ab$
Substituting the value from equation 1 in the above expression we get,
$a^4+b^4-2a^2b^2-a^3-b^3+ab=(a-b)^2-a^2+ab-b^2+ab$
$=(a-b)^2-(a^2-2ab+b^2)$
$=(a-b)^2-(a-b)^2=0$
Hence, the correct answer is 0.

103 Views

Question : Directions: Select the Venn diagram that best illustrates the relationship between the following classes.
Fathers, Brothers, and Males

Option 1:

Option 2:

Option 3:

Option 4:

Team Careers360 25th Jan, 2024

Correct Answer:


Solution : Males encompass both brothers and fathers, thus their circles will be contained within the larger circle of males. Additionally, there may be overlap as a brother can also be a father, and a father can also be a brother.
Therefore, the Venn diagram will be as

16 Views

Question : Directions: In a certain code language, travel for fun is coded as dv pa vi, fun will begin is coded as cr dv em, and will travel today is coded as vi cr hz. (All the codes are two-letter codes only.) How will for today be coded in that language?

Option 1: dv hz

Option 2: pa hz

Option 3: pa em

Option 4: cr dv

Team Careers360 22nd Jan, 2024

Correct Answer: pa hz


Solution : Given:
1. travel for fun is coded as dv pa vi
2. fun will begin  is coded as cr dv em
3. will travel today is coded as vi cr hz

By comparing all the three coded sentences, we find that –
In sentences

17 Views

Question : Directions: Select the correct mirror image of the given figure when the mirror is placed on the right side of the figure.

Option 1:

Option 2:

Option 3:

Option 4:

Team Careers360 17th Jan, 2024

Correct Answer:


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

5 Views

Question : How liberty can be limited

Option 1: By Rule

Option 2: By Law

Option 3: By Authority

Option 4: by Equality

Team Careers360 22nd Jan, 2024

Correct Answer: By Law


Solution : The Correct Answer is-  by law

Liberty is defined as the law-abiding exercise of one's freedom without obstructing the rights of others. The removal of freedom is a form of punishment.  It can, however, be limited by law or restricted in specific situations where

19 Views

Question : A boatman rows 15 km in 15 minutes, along the stream and 10 km in 1 hour against the stream. Find the speed of the boat in still water.

Option 1: 33 km/hr

Option 2: 35 km/hr

Option 3: 26 km/hr

Option 4: 40 km/hr

Team Careers360 23rd Jan, 2024

Correct Answer: 35 km/hr


Solution : Given: The boatman rows 15 km in 15 minutes along the stream.
Downstream speed = $\frac{15}{15}\times60$ = 60 km/hr
Again, the boatman rows 10 km in 1 hour against the stream.
Upstream speed = $\frac{10}{1}$ = 10 km/hr
We know that,
Speed of the

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