AILET entrance exam Question Bank Solutions for Mathematics

Surds having same irrational factor are called

When product of two surds is rational, then each one of them is called the

A surd which has unity only as rational fraction and other factors being irrational is said to be

Surds having no irrational factor are called

If an expression consists of two terms in which atleast one term is a surd is known as

In algebra, we use alphabets such as x, y, z to denote

Which one is rational number ?

Number should be added to complete square of x⁴ + 6⁴ is 

If an algebric expression is exactly divisible by two or more expressions, then expression is said to be

In algebric fractions, numerators and denominators are

Number of methods to find square root of an algebric expression are

A polynomial of degree ‘3’ is called

If x - a is a factor of P(x), then P(a) should be

A polynomial of degree ‘2’ is called

A polynomial of degree ‘1’ is called

A rational fraction `("N"("x"))/("D"("x"))`, with D(x) not equal to zero and degree of N(x) is less than degree of D(x) is known as

A wheel that has 6 cogs is meshed with a larger wheel of 14 cogs. When the smaller wheel has made 21 revolutions, then the number of revolutions made by the larger wheel is

The number of natural numbers of two or more than two digits in which digits from left to right are in increasing order is

Find the sum of all two-digit numbers that give a remainder of 3 when they are divided by 7.

Find the least number that when divided by 16, 18, and 20 leaves a remainder 4 in each case, but is completely divisible by 7.