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12 Views

Question : If $(4a-3)^2=0$, then the value of $64a^3-48a^2+12a+13$ is:

Option 1: 0

Option 2: 11

Option 3: 22

Option 4: 33

Team Careers360 25th Jan, 2024

Correct Answer: 22


Solution : Given: $(4a-3)^2=0$
$⇒4a-3=0$
$⇒a=\frac{3}{4}$
Substitute the value of $a$ in the equation below, we get,
$64a^3-48a^2+12a+13$
$=(4a)^3-3×(4a)^2×1+3×4a×(1)^2-(1)^3+14$
$=(4a-1)^3+14$
$=(4×\frac{3}{4}-1)^3+14$
$=8+14$
$=22$
Hence, the correct answer is 22.

19 Views

Question : A and B can do a piece of work in 72 days. B and C can do it in 120 days and A and C can do it in 90 days. A alone can do it in:

Option 1: 120 days

Option 2: 130 days

Option 3: 150 days

Option 4: 100 days

Team Careers360 25th Jan, 2024

Correct Answer: 120 days


Solution : Given:
Time taken by A and B to do the work = 72 days
⇒ Part of work done by A and B in a day = $\frac{1}{72}$
Time taken by B and C to do the work = 120 days
⇒ Part of

6 Views

Question : Asia Development Bank approved a $231 million loan in December 2020 to construct the Lower Kopili Hydroelectric Power (LKHEP) plant for which of the following states in India?

Option 1: Rajasthan

Option 2: Gujarat

Option 3: Assam

Option 4: Jharkhand

Team Careers360 25th Jan, 2024

Correct Answer: Assam


Solution : The correct answer is Assam.

The Lower Kopili Hydroelectric Power (LKHEP) project will help distribution companies moderate the delivered cost of electricity while meeting the state of Assam's increasing demand for electricity. It would also maintain a healthy share of clean energy in the

12 Views

Question : What is the minimum over rate in a Test match?

Option 1: 10 overs/h

Option 2: 15 overs/h

Option 3: 12 overs/h

Option 4: 13 overs/h

Team Careers360 25th Jan, 2024

Correct Answer: 15 overs/h


Solution : The correct option is 15 overs/h.

In Test cricket, the International Cricket Council (ICC) has set a minimum required over rate of 15 overs per hour. According to the ICC playing conditions, if a team fails to meet this required overrate, they may

22 Views

Question : Directions: Three different positions of the same dice are shown. Find the number on the face opposite the face showing 4.

Option 1: 5

Option 2: 6

Option 3: 2

Option 4: 3

Team Careers360 25th Jan, 2024

Correct Answer: 3


Solution : Taking dice positions 1 and 2 with 6 as the common face,

Moving clockwise from the common face with 6,

Pair of opposite faces –

So, the face opposite to the face containing 4 is the face containing 3. Hence, the fourth option is correct.

13 Views

Question : Which of the following statements is correct?

I. The biggest state of India in terms of area is Uttar Pradesh.

II. Rajasthan is the state of India which has the highest population among all other states of India.

Option 1: Only I

Option 2: Neither I nor II

Option 3: Only II

Option 4: Both I and II

Team Careers360 25th Jan, 2024

Correct Answer: Neither I nor II


Solution : The correct answer is neither I nor II.

As of April 2021, there were 28 states and eight union territories (UTs) in India. Rajasthan is the largest state in the area (342,239 km2), followed by Maharashtra and Madhya Pradesh.

96 Views

Question : If the price of rice is increased by 25 percent, then by what percentage consumption of rice should be decreased so that the expenditure incurred on rice gets decreased by 40 percent?

Option 1: 52 percent

Option 2: 43.33 percent

Option 3: 42 percent

Option 4: 48 percent

Team Careers360 25th Jan, 2024

Correct Answer: 52 percent


Solution : Increase in price = 25%
Decrease in expenditure = 40%
(Initial price × Initial consumption) = (Final price × Final consumption)
Let's denote the initial price and consumption as P and C, and the final price and consumption as P' and C'.
Initial expenditure

21 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 the sentence is free from error, select "No Error".

Freedom fighters laboured (1) / to the good of (2) / the poor enslaved masses. (3) / No Error (4)

Option 1: (1)

Option 2: (2)

Option 3: (3)

Option 4: (4)

Team Careers360 25th Jan, 2024

Correct Answer: (2)


Solution : The correct answer is the second option.

"To" should be replaced with "for" to convey the intended meaning that freedom fighters worked hard for the good of enslaved people. "For" is the correct preposition to be used in place of "to" since "labour for" means

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