SAT (Stage-2) M...

If N = 102102 and N is also equal to the product of prime numbers P₁, P₂, P₃, P₄, P₅ and P₆ and also P₁ < P₂ < P₃ < P₄ < P₅ < P₆, then what can be the possible value of P₁?

Which of the following decimal numbers is irrational?

Which of the following fractions will have a terminating decimal expansion?

Which of the following options is true about the zeroes of the quadratic polynomial x² + 99x + 127?

If positive integers a and b are written as a = x³y² and b = xy³ (x and y are prime numbers), then HCF (a, b) is

If one of the zeros of the cubic polynomial x³ + ax² + bx + c is -1, then the product of the other two zeros is

For what value of c will the pair of equations cx - y = 2 and 6x - 2y = 3 have infinitely many solutions?

One equation of a pair of dependent linear equations is -5x + 7y = 2. The second equation can be

Two APs have the same common difference. The first term of one of these is -1 and that of the other is -8. The difference between their 4^th terms is

If the 2^nd term of an arithmetic progression is 13 and the 5^th term is 25, then what is it's 7^th term?

The first two terms of an AP are -3 and 4. Its 21^st term is

Given that sinα = 1/2 and cos β = 1/2. What will be the value of (α+ β)?

What is the sum of square of diagonals of a rhombus whose side is 10 m?

A cone is 8.4 cm high and the radius of its base is 2.1 cm. It is melted and recast into a sphere. The radius of the sphere will be

In the given figure, AB and AC are tangents to the circle. If ∠BAC = 70°, then what is the measure of ∠OCB?