09-03-2024

For some integer m, every odd integer is of the form

If two positive integers a and b are written as a = p³q² and b = pq³; p, q are prime numbers, then HCF (a, b) is:

The product of a non-zero number and an irrational number is:

If the HCF of 65 and 117 is expressible in the form 65 m – 117, then the value of m is

The largest number which divides 70 and 125, leaving remainders 5 and 8, respectively, is

In an AP, if d = –4, n = 7, a_n = 4, then a is

In an AP, if a = 3.5, d = 0, n = 101, then a_n will be

The famous mathematician associated with finding the sum of the first 100 natural numbers is

The sum of first 16 terms of the AP: 10, 6, 2,… is

D and E are respectively the midpoints on the sides AB and AC of a triangle ABC and BC = 6 cm. If DE || BC, then the length of DE (in cm) is

(sin30° + cos30°) – (sin 60° + cos60°)

The value of sin θ and cos (90° – θ)

A right circular cylinder of radius r cm and height h cm (h>2r) just encloses a sphere of diameter

A metallic spherical shell of internal and external diameters 4 cm and 8 cm respectively, is melted and recast into the form of a cone with base diameter 8cm. The height of the cone is

A dice is thrown. Find the probability of getting an even number.