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Question : If $a+b+c=7$ and $a^3+b^3+c^3-3abc=175$, then what is the value of $(a b+b c+c a)$?

Option 1: 8

Option 2: 9

Option 3: 7

Option 4: 6

Team Careers360 20th Jan, 2024

Correct Answer: 8


Solution : The given equations are:
$a + b + c = 7$
$a^3 + b^3 + c^3 - 3abc = 175$
From the identity,
$a^3 + b^3 + c^3 - 3abc = (a + b + c)[( a + b + c)^2-3(ab + bc + ca)]$

15 Views

Question : Directions: In the following question, some parts of the sentence may have errors. Find out which part of the sentence has an error and select the appropriate option. If a sentence is free from error, select "No Error."

Get this book (1) / be published (2) / in time. (3) / No Error (4)

Option 1: (1)

Option 2: (2)

Option 3: (3)

Option 4: (4)

Team Careers360 24th Jan, 2024

Correct Answer: (2)


Solution : The error is in the second part of the sentence.

"Be published" is the wrong usage, as be should be omitted in this case. "Get" is followed by an object and the third form of the verb.

Therefore, the correct sentence is, "Get this book

21 Views

Question : Directions: In the following question, some parts of the sentence have errors, and some are correct. Find out which part of the sentence has an error. The number of that part is the answer. If a sentence is error-free, your answer is "No Error".

In my opinion (1) / a pencil is always (2) / more preferable to a pen. (3) / No Error (4)

Option 1: (1)

Option 2: (2)

Option 3: (3)

Option 4: (4)

Team Careers360 25th Jan, 2024

Correct Answer: (3)


Solution : The error lies in the third part of the sentence.

The reason for the error is the inappropriate usage of more with preferable as "preferable" itself is a comparative form of adjective.

So, the correct sentence should be: In my opinion, a pencil is always

18 Views

Question : Directions: Three different positions of the same dice are shown. Find the number on the face opposite the face showing 2.

Option 1: 4

Option 2: 5

Option 3: 6

Option 4: 1

Team Careers360 18th Jan, 2024

Correct Answer: 4


Solution : Taking dice positions 2 and 3 with 4 as common face,


Moving clockwise from the common face with 4,


Pairs of opposite faces –

So, the opposite face to the face containing 2 is 4. Hence, the first option is correct.

143 Views

Question : Directions: In a certain code language, MAYOR is written as WSBCN, and MARCH is written as MGUCN. How will ISSUE be written in that language?

Option 1: JYVVJ

Option 2: JYVUJ

Option 3: JUVYJ

Option 4: JYVJK

Team Careers360 18th Jan, 2024

Correct Answer: JYVUJ


Solution : Given:
MAYOR is written as WSBCN and MARCH is written as MGUCN.

Reverse the order of the letters and add 5, 4, 3, 2, and 1 to the place value of MAYOR and MARCH as shown to obtain the required code –


Thus, MAYOR is

17 Views

Question : Directions: L is the sister of G. G is the son of M. M is married to D. D is the sister of E. E is the son of C. C is married to S. S is the sister of P. How is L related to E?

Option 1: Wife's sister

Option 2: Brother's daughter

Option 3: Sister's daughter

Option 4: Daughter

Team Careers360 21st Jan, 2024

Correct Answer: Sister's daughter


Solution : As per the given information, the family tree will be as follows –

Here, the quadrilateral represents the male, and the circular figure represents the female in the figure.

So, L is the sister's daughter (niece) of E. Hence, the third option is correct.

11 Views

Question : Whose autobiography is titled "And Then One Day: A Memoir"?

Option 1: Anupam Kher

Option 2: Naseeruddin Shah

Option 3: Boman Irani

Option 4: Kabir Bedi

Team Careers360 23rd Jan, 2024

Correct Answer: Naseeruddin Shah


Solution : The correct answer is Naseeruddin Shah.

"And Then One Day: A Memoir", Naseeruddin Shah's autobiography, describes his struggles to make a living as an actor, his attempts at the trade, his early marriage, his triumphs and disappointments, with amazing candour and self-reflection.

18 Views

Question :

Directions: In the following question, select the related word from the given alternatives.
Grain : Warehouse :: Water : ?

Option 1: Canal 

Option 2: River 

Option 3: Estuary 

Option 4: Dam 

Team Careers360 22nd Jan, 2024

Correct Answer: Dam 


Solution : Given:
Grain : Warehouse :: Water : ?

Grains are stored in the warehouse.
Similarly, water is stored in the dam.

Hence, the fourth option is correct.

9 Views

Question : Directions: In the following question, select the one that is different from the other three alternatives.

Option 1: (45, 18)

Option 2: (36, 27)

Option 3: (23, 14)

Option 4: (82, 29)

Team Careers360 18th Jan, 2024

Correct Answer: (82, 29)


Solution : Let's check the options –
First option: (45, 18); 4 + 5 = 9; 1 + 8 = 9 (The sum of the digits of both numbers is equal.)
Second option: (36, 27); 3 + 6 = 9; 7 + 2 = 9 (The

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