The Value of \(
\frac{(x-y)^{3}+(y-z)^{3}+(z-x)^{3}}{6(x-y)(y-z)(z-x)}
\) where \(
x \ne y \ne z
\) is equal to:
\( \frac{1}{4} \)
\( \frac{1}{2} \)
\( \frac{1}{3} \)
\( \frac{1}{9} \)
The table shows the number of toys made by 5 factories.
| Factory | Toys |
| F1 | 250 |
| F2 | 450 |
| F3 | 350 |
| F4 | 150 |
| F5 | 550 |
Number of toys manufactured by F2 are what percent of the number of toys manufactured by F4?
In a shop, a discount of 5% is provided, and if the total payable amount after discount is more than Rs.2000, then an additional discount of 10 percent is provided. Determine the final amount to be paid (in ₹) by a customer, if he buys 5 products each of price Rs.500.
General English
Select the correct direct form of the given sentence.
She said that she could not believe him.
She said, "You cannot believe him."
She said, "I may not believe him."
She said, "I cannot believe him."
She says, "I could not believed him."
Select the most appropriate synonym of the underlined word in the given sentence.
The next move of the opponent was anticipated by the team.
Select the most appropriate synonym of the underlined word in the following sentence.
The way Sheetal imparts knowledge to her students is really praiseworthy.
Select the most appropriate meaning of the underlined idiom in the given sentence.
Nobody in the conference seemed to believe the cock and bull story, about such a major movie star.
Factual story
Wildly exaggerated or falsified story
Interesting story
Secretive story