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21 Views

Question : If $ a^{2}+a+1=0$, then the value of $a^{5}+a^{4}+1$ is:

Option 1: $a^2$

Option 2: $1$

Option 3: $0$

Option 4: $a+1$

Team Careers360 25th Jan, 2024

Correct Answer: $0$


Solution : Given: $a^2 + a +1 = 0$
⇒ $a^2 + a = -1$
The given expression = $a^5 + a^4+1$
$=a^3(a^2 + a) + 1$
$=a^3(-1) + 1 = 1^3 - a^3$
Using identity $x^3-y^3=(x-y)(x^2+y^2+xy)$, we get
$=(1-a)(1^2+1(a)+a^2)$
$=(1-a)(1+a+a^2)$
$= 0$
Hence, the correct answer

10 Views

Question : Rohan borrows a certain sum at simple interest. The rate of interest is 3 percent per annum for the first 3 years, 4 percent per annum for the next 5 years, and 6 percent per annum for the next 7 years. If he paid Rs. 2485 as interest, then what is the sum borrowed?

Option 1: Rs. 2500

Option 2: Rs. 3500

Option 3: Rs. 4000

Option 4: Rs. 3600

Team Careers360 25th Jan, 2024

Correct Answer: Rs. 3500


Solution : Use the formula below.
Simple interest = $\frac{\text{Principle×Rate×Time}}{100}$ 
Let's denote the principal amount (the sum borrowed) as P
Simple interest for the first 3 years at 3 percent per annum
= $\frac{3}{100}$ × P × 3
Simple interest for the next 5 years at

13 Views

Question : When was the Treaty of Purandar signed between Jai Singh I, commander of the Mughal Empire and Shivaji?

Option 1: 1639

Option 2: 1702

Option 3: 1665

Option 4: 1681

Team Careers360 25th Jan, 2024

Correct Answer: 1665


Solution : The correct option is 1665.

The Treaty of Purandar was signed on June 11, 1665, between Jai Singh I, the commander of the Mughal Empire and the Maratha warrior king Shivaji. This treaty marked a temporary truce between the Mughals and the Marathas, but

17 Views

Question : Saswati Sen is the proud recipient of the Sangeet Natak Akademi Award for 2004-2005. She is recognized for which dance form?

Option 1: Kathak

Option 2: Kuchipudi

Option 3: Manipuri

Option 4: Mohiniyattam

Team Careers360 25th Jan, 2024

Correct Answer: Kathak


Solution : The correct answer is Kathak.

Saswati Sen, born in 1953 in West Bengal, is an accomplished Kathak dancer. She received her initial training from Shrimati Reba Vidyarthi at Kathak Kendra, Delhi, and later specialised in the art under Pandit Birju Maharaj. She was honoured

16 Views

Question : Directions: A series is given with one term missing. Select the correct alternative from the given ones that will complete the series.
TABC, QCYE, NEVG, KGSI, ?

Option 1: HJPL

Option 2: GIPK

Option 3: HIQK

Option 4: HIPK

Team Careers360 25th Jan, 2024

Correct Answer: HIPK


Solution : Given:
TABC, QCYE, NEVG, KGSI, ?

Here, the pattern followed is as follows –

So, HIPK is the missing term of the given series. Hence, the fourth option is correct.

15 Views

Question : Select the option that expresses the given sentence in passive voice.

Mary was cooking the meal.

Option 1: The meal were being cooked by Mary.

Option 2: The meal was already being cooked by Mary.

Option 3: Mary was about to cook the meal.

Option 4: The meal was being cooked by Mary.

Team Careers360 25th Jan, 2024

Correct Answer: The meal was being cooked by Mary.


Solution : The correct choice is the fourth option.

Passive voice is the voice in which the object experiences an action rather than the person who performs the action. Hence, the object in the active sentence becomes the subject in

43 Views

Question : Directions: Select the option that is related to the third number in the same way as the second number is related to the first number.
289 : 306 :: 196 : ?

Option 1: 210

Option 2: 320

Option 3: 225

Option 4: 512

Team Careers360 25th Jan, 2024

Correct Answer: 210


Solution : Given:
289 : 306 :: 196 : ?

Add the first number to its square root, to obtain the second number –
Like, 289 : 306→289 + √289 = 289 + 17 = 306
Similarly, follow the same pattern for 196 : (?)→196 + √196

286 Views

Question : Robert takes twice as much time as Tom and thrice as much time as George to complete a work. If working together, they can complete it in 23 hours, then find the time that Tom will take to complete the work.

Option 1: 46 hours

Option 2: 69 hours

Option 3: 11 hours

Option 4: 39 hours

Team Careers360 25th Jan, 2024

Correct Answer: 69 hours


Solution : Given: Robert takes twice as much time as Tom and thrice as much time as George to complete a work.
Working together, they can complete it in 23 hours.
Work = Time × Efficiency
According to the question,
$\frac{1}{x}+\frac{2}{x}+\frac{3}{x}=\frac{1}{23}$
⇒ $\frac{1+2+3}{x}=\frac{1}{23}$
⇒ $\frac{6}{x}=\frac{1}{23}$

44 Views

Question : Select the most appropriate ANTONYM of the underlined word.

My niece is an amateur artist. I hope she becomes famous one day.

Option 1: Boring

Option 2: Freelancing

Option 3: Expert

Option 4: Decent

Team Careers360 25th Jan, 2024

Correct Answer: Expert


Solution : The most appropriate choice is the third option.

Expert means someone who is very knowledgeable or skilled in a particular area and is an antonym for the word amateur, which means someone who is inept.

The meanings of the other options are as follows:

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