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12 Views

Question : If $x=\sqrt[3]{28}, y=\sqrt[3]{27}$, then the value of $x+y-\frac{1}{x^{2}+xy+y^{2}}$ is:

Option 1: 8

Option 2: 7

Option 3: 6

Option 4: 5

Team Careers360 23rd Jan, 2024

Correct Answer: 6


Solution : Given: $x=\sqrt[3]{28}$ and $y=\sqrt[3]{27}.$
To find $x+y–\frac{1}{x^{2}+xy+y^{2}}$
Multiplying and dividing by $(x–y)$
$=x+y–\frac{(x–y)}{(x–y)(x^{2}+xy+y^{2})}$
$=x+y–\frac{(x–y)}{(x^{3}–y^{3})}$
$=x+y–\frac{(x–y)}{(28–27)}$
$=x+y–x+y$
$=2y$
$=2×\sqrt[3]{27}$
$=2×3 = 6$
Thus, $x+y-\frac{1}{x^{2}+xy+y^{2}}=6$
Hence, the correct answer is 6.

10 Views

Question : What is meant by subsistence agriculture?

Option 1: Agricultural output is sufficient for the country.

Option 2: Agriculturists produce primarily for themselves.

Option 3: Agriculture generates sufficient income.

Option 4: Agriculturists produce primarily for the market.

Team Careers360 24th Jan, 2024

Correct Answer: Agriculturists produce primarily for themselves.


Solution : The correct option is Agriculturists produce primarily for themselves.

Subsistence agriculture refers to a farming practice where agriculturists primarily cultivate crops and raise livestock for the sole purpose of meeting their own and their family's basic food and livelihood needs.

19 Views

Question : Choose the word that is opposite in meaning to the given word.

Abeyance

Option 1: Latency

Option 2: Moratorium

Option 3: Layoff

Option 4: Continuation

Team Careers360 22nd Jan, 2024

Correct Answer: Continuation


Solution : The fourth option is the correct answer.

Abeyance refers to a state of temporary suspension or inactivity, suggesting a pause or hiatus in an ongoing process or activity. On the other hand, the word, continuation denotes the act of carrying on or resuming without interruption.

10 Views

Question : How many positive factors of 160 are there?

Option 1: 6

Option 2: 8

Option 3: 5

Option 4: 12

Team Careers360 23rd Jan, 2024

Correct Answer: 12


Solution : 160 = 25 × 5
If N = am × bn, where a and b are prime numbers, then the number of positive factors of N = (m+1) × (n+1)
Total number of positive factors of 160 = 6 × 2

20 Views

Question : Directions: Which of the following letter clusters will replace the question mark (?) in the given series?
XG, UJ, RM, OP, ?

Option 1: MR

Option 2: LS

Option 3: MS

Option 4: LR

Team Careers360 25th Jan, 2024

Correct Answer: LS


Solution : Given:
XG, UJ, RM, OP, ?

In the above-given series, subtract 3 from the place value of the first letter and add 3 to the place value of the second letter.
XG→X – 3 = U; G + 3 = J
UJ→U – 3 =

14 Views

Question : The presence of air bubbles in the bloodstream is dangerous to life because

Option 1: air combines with blood forming a complex

Option 2: the flow of blood increases manifold

Option 3: the flow of blood is obstructed

Option 4: the pressure of blood increases manifold

Team Careers360 22nd Jan, 2024

Correct Answer: the flow of blood is obstructed


Solution : The correct option is the flow of blood is obstructed.

Air bubbles in the circulation can be harmful because they can obstruct blood arteries, resulting in decreased blood flow and oxygen availability to essential organs. A condition known as

31 Views

Question : Directions: Select the figure that will come next in the following figure series.

Option 1:

Option 2:

Option 3:

Option 4:

Team Careers360 25th Jan, 2024

Correct Answer:


Solution : According to the given figures –
The number of lines of the figure in each box is increasing by one subsequently.
Triangle(3)→Quadrilateral(4)→Pentagon(5)→Hexagon(6)
Therefore, the next figure will be a heptagon with 7 sides.

So, following the above pattern, the required figure will be as follows –

15 Views

Question : A shopkeeper sold sarees at Rs. 266 each after giving a 5% discount on the labelled price. Had he not given the discount, he would have earned a profit of 12% on the cost price. What was the cost price of each saree?

Option 1: Rs. 280

Option 2: Rs. 260

Option 3: Rs. 240

Option 4: Rs. 250

Team Careers360 24th Jan, 2024

Correct Answer: Rs. 250


Solution : Let the labelled price be Rs. $x$ and the cost price be Rs. $y$.
The shopkeeper sold the sarees at Rs. 266 each after giving a 5% discount on the labelled price.
$x - 0.05x = 266$
$⇒0.95L = 266$
$⇒x = \frac{266}{0.95} =

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