NTSE SAT Mathematics Papers 06

In a given figure\({\text{PQ}}\parallel {\text{ST}}\), \(\angle PQR = 110^\circ ,\,\,\angle RST = 130^\circ \)then value of \(\angle QRS\)is-

The bisectors of angles of a parallelograms makes a figure which is-

The Chord of maximum length in a Circle is called-

Area of triangle ABC whose sides are 24 m. 40 m and 32 m is-

Curved surface of right circular cylinder is \(4.4\,\,{m^2}\), radius of base is 0.7 m. then the height is (take \(\pi = \frac{{22}}{7}\))

The value of \({\left( {\frac{{{x^b}}}{{{x^c}}}} \right)^{\frac{1}{{bc}}}}.{\left( {\frac{{{x^c}}}{{{x^a}}}} \right)^{\frac{1}{{ca}}}}.{\left( {\frac{{{x^a}}}{{{x^b}}}} \right)^{\frac{1}{{ab}}}}\) is equal to

The HCF of any two prime numbers a and b, is

The total two-digit numbers which are divisible by 5, are

If the roots of the equation \(2{x^2} + ax + b = 0\)are reciprocals to each other, then the value of b is

If sin (A + B) = cos (A – B), then the value of (A + B) is

If \(\sin \theta + {\sin ^2}\theta = 1\), then the value of \({\cos ^2}\theta + {\cos ^4}\theta \)is

The angle of elevation of the top of a building from the foot of tower is \(30^\circ \)and the angle of elevation of the top of the tower from the root of the building is \(60^\circ \). If the tower is 30 m high, then the height of the building is

If the solution of equations 3x + y = 1, (2k – 1)x + (k – 1)y = (2k + 1), has no solution, then the value of k is

The mean of the first ten even natural numbers is

A die is thrown twice. The probability of the sum being odd, is