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Question : Directions: Select the figure that will replace the question mark (?) in the following figure series.

Option 1:

Option 2:

Option 3:

Option 4:

Team Careers360 21st Jan, 2024

Correct Answer:


Solution : The pattern followed here is that the shaded portion in the corner is shifting to the next corner in the anticlockwise direction, whereas the image in the centre remains the same.
The following figure will complete the given pattern –

Hence, the second option is correct.

5 Views

Question : If $\alpha$ and $\beta$ are the roots of equation $x^{2}-x+1=0$, then which equation will have roots $\alpha ^{3}$ and $\beta ^{3}?$

Option 1: $x^{2}+2x+1=0$

Option 2: $x^{2}-2x-1=0$

Option 3: $x^{2}+3x-1=0$

Option 4: $x^{2}-3x+1=0$

Team Careers360 23rd Jan, 2024

Correct Answer: $x^{2}+2x+1=0$


Solution : $\alpha$ and $\beta$ are roots of the equation $x^{2}-x+1=0$
⇒ $\alpha+\beta=1$ and $\alpha\beta=1$
Now we need to find the equation whose roots are $\alpha ^{3}$ and $\beta ^{3}$.
⇒ $(\alpha^{3}+\beta^{3})=(\alpha+\beta)^{3}-3\alpha\beta\times(\alpha+\beta)$
⇒ $(\alpha^{3}+\beta^{3})=(1)^{3}-3\times 1 \times (1)$
⇒ Sum of roots = $(\alpha^{3}+\beta^{3})=-2$
Also, Product of roots

50 Views

Question : Select the most appropriate option to fill in the blank.
I am_________ after five years.

Option 1: making an exam

Option 2: taking an exam

Option 3: keeping an exam

Option 4: frying an exam

Team Careers360 16th Jan, 2024

Correct Answer: taking an exam


Solution : The second option is correct.

Given the context of someone's engagement or action related to an exam five years from now, taking an exam is the appropriate choice to complete the sentence, indicating participation in an exam at that future time.

The meanings

11 Views

Question : Directions: In the following question, select the odd letter cluster from the given alternatives.

Option 1: ADG

Option 2: HKN

Option 3: ORU

Option 4: BDF

Team Careers360 18th Jan, 2024

Correct Answer: BDF


Solution : Let's check the options –
First option: ADG; A + 3 = D; D + 3 = G
Second option: HKN; H + 3 = K; K + 3 = N
Third option: ORU; O + 3 = R; R + 3 = U
Fourth

14 Views

Question : Which metal remains in liquid form at normal temperature?

Option 1: Bromine

Option 2: Mercury

Option 3: Cadmium

Option 4: Glass

Team Careers360 19th Jan, 2024

Correct Answer: Mercury


Solution : The correct option is Mercury.

Mercury stays liquid at normal temperatures due to its low melting point and boiling point, weak intermolecular interactions, poor metallic bonding, and absence of a stable crystal structure. These components allow its atoms to travel easily, keeping it liquid.

14 Views

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

Option 1:

Option 2:

Option 3:

Option 4:

Team Careers360 18th Jan, 2024

Correct Answer:


Solution : As per the mirror image properties, closer things appear closer to the mirror in the reflection.
Here, according to the information provided, the mirror is placed at the bottom of the figure (on line AB). So, the top of the reflected image will appear as the

11 Views

Question : For the year 2022, who among the following won the Indian Film Personality Award awarded by the International Film Festival of India (IFFI)?

Option 1: Chiranjeevi

Option 2: Prakash Raj

Option 3: Mahesh Babu

Option 4: Rajnikant

Team Careers360 22nd Jan, 2024

Correct Answer: Chiranjeevi


Solution : The correct answer is Chiranjeevi.

The Indian Film Personality Award was awarded to Chiranjeevi. He belongs to the Telugu industry. This was the 53rd edition of the International Film Festival of India (IFFI) award.

IFFI was first held in 1952, making it one of the

38 Views

Question : How many job applicants had applied if the ratio of selected to rejected was 19 : 17? If 1200 less had been applied and 800 less were selected, then the ratio of selected to rejected would have been 1 : 1.

Option 1: 6000

Option 2: 7200

Option 3: 8400

Option 4: 4800

Team Careers360 20th Jan, 2024

Correct Answer: 7200


Solution : Let there be 36x job applicants of whom 19x were selected, while 17x were rejected.
If (36x – 1200) had applied and (19x – 800) were selected, then
Rejected = (36x – 1200 – 19x + 800) = (17x – 400)
Given, Rejected : Selected

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