For any three sets P, Q and R, P-(Q\(\\ \cap \)R) is ________.

Which of the following is true?

If n(A \(\cup \) B \(\cup \) C) = 40, n(A) = 30, n(B) = 25, n(C) = 20, n(A\(\cap \)B) = 12, n(B\(\cap \)C) = 18 and n(A\(\cap \)C) = 15 , then n(A\(\cap \)B\(\cap \)C) is ___________

In simplest form, \(\sqrt{640}\) is ____________

When written with a rational denominator, the expression \(\frac { 2\sqrt { 3 } }{ 3\sqrt { 2 } } \) can be simplified as ________.

What is 5.92 \(\times\)10^-3 written in decimal form?

If x - 3 is a factor of p(x), then the remainder is _______.

(x+y)(x²−xy+y²) is equal to_______.

GCD of any two prime numbers is _______.

PQ and RS are two equal chords of a circle with centre O such that ㄥPOQ = 70°, then ㄥORS = ________.

In the figure, PQRS and PTVS are two cyclic quadrilaterals, If ㄥQRS = 100°, then ㄥTVS = ______.

In the given figure, If OP = 17cm PQ = 30, cm and OS is perpendicular to PQ, then RS is ________.

Data available in an unorganized form is called __________ data

The mean of 5, 9, x, 17, and 21 is 13, then find the value of x _______.

The mean of the square of first 11 natural numbers is _______.

If A =\(\left\{ -\frac { 1 }{ 2 } ,0,\frac { 1 }{ 4 } ,\frac { 3 }{ 4 } ,2 \right\} \), B =\(\left\{ 0,\frac { 1 }{ 4 } ,\frac { 3 }{ 4 } ,2,\frac { 5 }{ 2 } \right\} \) and C =\(\left\{ -\frac { 1 }{ 2 } .\frac { 1 }{ 4 } ,1,2,\frac { 5 }{ 2 } \right\} \), then verify \(A\cap (B\cap C)=(A\cap B)\cap C\) .

If A = {0, 2, 4, 6, 8}, B = {x : x is a prime number and x < 11} and C = {x : x ∈ N and 5 ≤ x < 9} then verify \(A\cup (B\cap C)=(A\cup B)\cap (A\cup C)\).

Rationalise the denominator
(i) \(\frac { 1 }{ \sqrt { 50 } } \)
(ii) \(\frac { 5 }{ 3\sqrt { 5 } } \)
(iii) \(\frac { \sqrt { 75 } }{ \sqrt { 18 } } \)
(iv) \(\frac { 3\sqrt { 5 } }{ \sqrt { 6 } } \)

Simplify: (2.75 \(\times\)10⁷)+(1.23 \(\times\) 10⁸)

Write the following in scientific notation: (4000000)³ ÷ (0.00002)⁴

Expand the following using identities: (5x+4y)(5x-4y)

Expand the following: (2a-3b+4c)²

Expand: (2a + 3b)³

In the given figure, ㄥPOQ = 100^o and ㄥPQR = 30^o, then find ㄥRPO

A set of numbers consists of five 4’s, four 5’s, nine 6’s,and six 9’s. What is the mode.

Verify \(A-(B\cap C)=(A-B)\cup (A-C)\)using Venn diagrams.

If U = {x: −4 ≤ x ≤ 4, x \(\in \)Z}, A = {x :−4 < x ≤ 2, x\(\in \)Z } and B = {x :−2 ≤ x ≤ 3,x \(\in \) Z} , then verify De Morgan’s laws for complementation.

If A = {-2,0,1,3,5}, B = {-1,0,2,5,6} and C = {-1,2,5,6,7} then show that A-(BUC) = (A-B)∩(A-C).

Find the value of a and b if \(\frac { \sqrt { 7 } -2 }{ \sqrt { 7 } +2 } \) = a\(\sqrt{7}\) + b

Represent the following information in scientific notation:
(i) The world population is nearly 7000,000,000.
(ii) One light year means the distance 9460528400000000 km.
(iii) Mass of an electron is 0.000 000 000 000 000 000 000 000 000 00091093822 kg.

Using algebraic identity, find the coefficients of x², x and constant term without actual expansion.
(i) (x + 5)(x + 6)(x + 7)
(ii) (2x + 3)(2x − 5)(2x - 6)

If \(\left( y-\frac { 1 }{ y } \right) ^{ 3 }\)= 27, then find the value of  \({ y }^{ 3 }-\frac { 1 }{ { y }^{ 3 } } \) .

If the quotient obtained on dividing (8x⁴- 2x² + 6x - 7) by (2x +1) is (4x³+ px²- qx + 3), then find p, q and also the remainder.

Draw and locate the centroid of the triangle ABC where right angle at A, AB = 4cm and AC = 3cm

Draw the \(\triangle \)ABC , where AB = 6 cm, B = 110° and AC = 9 cm and construct the centroid.

Find the mean for the following frequency table:

Find the sum of the deviations from the arithmetic mean for the following observations:
21, 30, 22, 16, 24, 28, 18, 17

If the arithmetic mean of 7 values is 30 and if each value is divided by 3, then find the arithmetic mean of new set of values