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Question : If $\frac{1}{a}–\frac{1}{b}=\frac{1}{a–b}$, then the value of $a^{3}+b^{3}$ is:

Option 1: 0

Option 2: –1

Option 3: 1

Option 4: 2

Team Careers360 27th Jan, 2024

Correct Answer: 0


Solution : Given: $\frac{1}{a}–\frac{1}{b}=\frac{1}{a–b}$
⇒ $\frac{b–a}{ab}=\frac{1}{a–b}$
⇒ $(b–a)(a–b)=ab$
⇒ $(a–b)^{2}=–ab$
⇒ $a^{2}+b^{2}–2ab=–ab$
⇒ $a^{2}+b^{2}=ab$
⇒ $a^{2}+b^{2}-ab=0$
We know $a^3+b^3=(a+b)(a^2+b^2-ab)$
So, $a^3+b^3=0$
Hence, the correct answer is $0$.

12 Views

Question : Directions: Select the option that is related to the fifth term in the same way as the second term is related to the first term and the fourth term is related to the third term.
PRAY : UWFD :: MONK : RTSP :: FAIT : ?

Option 1: KEMY

Option 2: KFNY

Option 3: KENY

Option 4: KFMY

Team Careers360 27th Jan, 2024

Correct Answer: KFNY


Solution : Given:
PRAY : UWFD :: MONK : RTSP :: FAIT : ?

Like, PRAY : UWFD→P(16) + 5 = U(21); R(18) + 5 = W(23); A(1) + 5 = F(6); Y(25) + 5 = D(4)
And, MONK : RTSP→M(13) + 5 = R(18); O(15) +

13 Views

Question : Neeti wants to use an input device that works by sensing the user's finger movement and downward pressure. Which among the following should she use?

Option 1: Scanner

Option 2: Touchpad

Option 3: Light pen

Option 4: Keyboard

Team Careers360 27th Jan, 2024

Correct Answer: Touchpad


Solution : The correct answer is Touchpad.

Neeti should use a touchpad. Touchpads are input devices that detect the movement and pressure of a user's finger on a flat surface. They are commonly found on laptops and are used for navigating the cursor on the screen, clicking,

24 Views

Question : Cathode rays are a beams of:

Option 1: Neutrons

Option 2: Protons

Option 3: Positrons

Option 4: Electrons

Team Careers360 27th Jan, 2024

Correct Answer: Electrons


Solution : The correct option is Electrons.

Cathode rays are a beam of electrons. They were first observed in the late 19th century in cathode ray tubes, and their discovery played a crucial role in the development of modern physics. The cathode rays are negatively charged

11 Views

Question : How many Lok Sabha seats are allotted to Goa as of the General Election 2019?

Option 1: 12

Option 2: 7

Option 3: 2

Option 4: 5

Team Careers360 26th Jan, 2024

Correct Answer: 2


Solution : The correct answer is 2

There are 2 Lok Sabha seats allotted to the state of Goa as of the general election of 2019. North Goa and South Goa are the two Lok Sabha constituencies of Goa.

22 Views

Question : Directions: How many triangles are there in the given figure?

Option 1: 22

Option 2: 21

Option 3: 16

Option 4: 24

Team Careers360 27th Jan, 2024

Correct Answer: 22


Solution : The given figure can be labelled as shown below –

In the above-labelled figure, there are a total of 22 triangles. They are AKM, ADH, HNM, HEA, HNO, HEF, HMO, HAF, FOP, FHI, FPQ, FIJ, FOQ, FHJ, JRQ, JGF, JRS, JGB, JQS, JFB, BSL, BJC.

17 Views

Question : The Finance Commission:

Option 1: draws up five-year plans 

Option 2: formulates monetary policy

Option 3: recommends pay revision of central government employees

Option 4: adjudicates on the sharing of resources between the centre and states

Team Careers360 27th Jan, 2024

Correct Answer: recommends pay revision of central government employees


Solution : The correct option is to recommend pay revision for central government employees.

A constitutional authority in India called the Finance Commission is in charge of advising how tax income should be split between the Union and state governments.

11 Views

Question : In which of the following states in Jog Falls located?

Option 1: Orissa

Option 2: Kerela

Option 3: Andhra Pradesh

Option 4: Karnataka

Team Careers360 26th Jan, 2024

Correct Answer: Karnataka


Solution : The correct option is - Karnataka

In the Shimoga district of Karnataka's Western Ghats, Jog Falls is a waterfall on the Sharavathi River. It is India's second-highest plunge waterfall. It is a segmented waterfall that changes its form depending on the time of year and

9 Views

Question : Which among the following is India’s first indigenously developed COVID-19 vaccine?

Option 1: Sputnik V

Option 2: Covishield

Option 3: COVAXIN

Option 4: Novavax

Team Careers360 26th Jan, 2024

Correct Answer: COVAXIN


Solution : The correct option is COVAXIN.

India's first indigenously developed COVID-19 vaccine is Covaxin. It was developed by Bharat Biotech in collaboration with the Indian Council of Medical Research (ICMR) and the National Institute of Virology (NIV). Covaxin received emergency use authorisation in India and played

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