Question : If the ratio of the angles of a quadrilateral is 2 : 7 : 2 : 7, then it is a:

Option 1: trapezium

Option 2: parallelogram

Option 3: square

Option 4: rhombus

Question : A number when divided by 7 leaves a remainder of 4. If the square of the same number is divided by 7, then what is the remainder?

Option 1: 3

Option 2: 1

Option 3: 4

Option 4: 2

Question : If $(a+b)=5$, then the value of $(a-3)^7+(b-2)^7$ is:

Option 1: $2^7$

Option 2: $3^7$

Option 3: $1$

Option 4: $0$

Question : Three consecutive angles of a cyclic quadrilateral are in the ratio of 1 : 4 : 5. The measure of the fourth angle is:

Option 1: 120°

Option 2: 60°

Option 3: 30°

Option 4: 80°

Question : On increasing each side of a square by 50%, the ratio of the area of the new square formed and the given square will be:

Option 1: 9 : 5

Option 2: 9 : 3.5

Option 3: 9 : 7

Option 4: 9 : 4

Question : If $x^{4}+2x^{3}+ax^{2}+bx+9$ is a perfect square, where a and b are positive real numbers, then the value of $a$ and $b$ are:

Option 1: $a=5, b=6$

Option 2: $a=6, b=7$

Option 3: $a=7, b=7$

Option 4: $a=7, b=8$