Correct Answer: Goods and services tax

Solution : The correct answer is the Goods and services tax.

Goods and services tax (GST) is an indirect tax. It is a consumption-based tax that is levied on the supply of goods and services. Death duty, interest tax and capital gains tax are

Correct Answer: variola virus

Solution : The correct option is the variola virus.

Smallpox is caused by the variola virus, which belongs to the genus Orthopoxvirus. It is a highly contagious and often severe disease that has been eradicated globally through vaccination efforts. The last naturally occurring case of

Correct Answer: NAND

Solution : The correct answer is NAND.

Boolean algebra is a way of formally specifying or describing a particular situation or procedure. It is a part of binary logic that uses algebraic expressions to describe the processing of binary variables through logic operations.

Correct Answer: 720

Solution : In each figure, the number in the middle of the figure is the product of the numbers at the corners.

In the first figure→4 × 2 × 3 × 3 = 72
In the second figure→9 × 4 × 2 × 10 = 720
Similarly,

Correct Answer: 34.14

Solution : Difference of incorrect marks = – 65 + 35 = – 30
So, change in average = – $\frac{30}{35}$ = – 0.86
Correct average = 35 – 0.86 = 34.14
Hence, the correct answer is 34.14.

Correct Answer: Both Statements A and B are correct.

Solution : The correct option is Both Statements A and B are correct.

In p-block elements, the last electron is added to the outermost p orbital. The p-block includes elements whose outermost electrons are in the p subshell.

Non-metals and

Correct Answer: 52

Solution : Given: An article is marked at 100% above its cost price.
After allowing two successive discounts of 5% and 20% respectively on the marked price, it is sold at $x$% profit.
Use the formula, Profit percentage = $\frac{\text{SP – CP}}{\text{CP}}\times 100$, where $SP$, $CP$ are

Correct Answer: 5 hours 20 minutes

Solution : X can complete the work in 3 days.
Y can do three times the same work in 8 days.
Z does five times the same work in 12 days.
Working hours per day = 6 hours
Efficiency = $\frac{\text{Total work}}{\text{Total Time}}$
Let

Correct Answer: 30 cm

Solution :
Given that AB is the common tangent to both circles.
In the circle with centre C, $\angle$CAE = 90°
In the circle with centre D, $\angle$DBA = 90°
and $\angle$AEC = $\angle$BED (vertically opposite angle)
So, $\triangle$CAE $\sim$ $\triangle$DBC
⇒ $\frac{CA}{AE}=\frac{DB}{BE}$
⇒ $\frac{4}{3}=\frac{DB}{15}$
⇒

Correct Answer: 970

Solution : $x=\frac{\sqrt{3}-\sqrt{2}}{\sqrt{3}+\sqrt{2}}=\frac{(\sqrt{3}-\sqrt{2})×(\sqrt{3}-\sqrt{2})}{(\sqrt{3}+\sqrt{2})×(\sqrt{3}-\sqrt{2})}=(\sqrt{3}-\sqrt{2})^2$ = $5-2\sqrt6$
$y=\frac{\sqrt{3}+\sqrt{2}}{\sqrt{3}-\sqrt{2}}=\frac{(\sqrt{3}+\sqrt{2})×(\sqrt{3}+\sqrt{2})}{(\sqrt{3}-\sqrt{2})×(\sqrt{3}+\sqrt{2})}=(\sqrt{3}+\sqrt{2})^2$ = $5+2\sqrt6$
$⇒x+y=5-2\sqrt6+5+2\sqrt6 =10$
Also, $xy=(5-2\sqrt6)(5+2\sqrt6)=25-24=1$
$\therefore x^3+y^3=(x+y)^{3} -3xy(x+y)$
$=10^3-3\times 1 \times 10$
$=1000-30$
$= 970$
Hence, the correct answer is 970.