S K Gupta and Anubhuti Gangal Solutions for Chapter: Model Test Paper - 2 (Chapters 11 - 25), Exercise 6: model Test Paper - 2 Chapters (11 - 25)

Name the quadrilaterals whose diagonals are perpendicular bisectors of each other.

One card is drawn from a well-shuffled deck of $52$ cards. Find the probability of getting: a red card

How many edges does a square pyramid have?

${\left(2x-5y\right)}^2=4x^2-20xy-25y^2$

The factors of $x^2-8x-33$ are $\left(x-11\right)\left(x+3\right)$

How many planks each of which is $3 m$ long, $15 cm$ broad and $5 cm$ thick can be prepared from a wooden block $6 m$ long, $75 cm$ broad and $45 cm$ thick?

If $x-y=8, xy=2$, find $x^2+y^2$.

The numerator of a rational number is less than its denominator by $3$. If the numerator becomes three times and the denominator is increased by $20,$ the new number becomes $\frac{1}{8}$. Find the original number.