The least number which when divided by 35, 45, 55 leaves the remainder 18, 28, 38 respectively is

If a+b +1 = 0, then the value of (a3+b3 +1 – 3ab) is ;

The value of $x$, if the slope of the line joining $(-8,$,11), $(2, x)$ is $left(frac{-4}{3} ight)$ will be

A boy adds all natural numbers from 1 to 20, however he misses one number due to which the sum becomes 190. What is the number which the boy missed ?

The number nearest to 75070 which is divisible by 65, is

If $x^{4}+frac{1}{x^{4}}=23$, then the value of $left(x-frac{1}{x} ight)^{2}$ will be

What is the value of 22 + 62 + 102 + 142 – 12 – 52 – 92 – 132 ?

The value of $sqrt{[6+sqrt{{6+}} sqrt{(6+ldots ext { upto } infty)}]}$ is equal to

$frac{3}{4}$ part of a tank is filled with oil. After taking out 60 litres of oil the tank is $frac{2}{3}$ part full. What is the capacity (in litres) of the tank?

The sum of three consecutive natural numbers is always divisible by ______.

Two circles of radius 4 cm and 9 cm respectively touch each other externally at a point and a common tangent touches them at the points P and Q respectively. Then the area of a square with one side PQ, is

If cot (A + B) = x, then value of x is ;fn cot (A + B) = x,

A thief is noticed by a policeman from a distance of 200 m. The thief starts running and the policeman chases him. The thief and the policeman run at the rate of 10 km and 11 km per hour respectively. The distance (in metres) between them after 6 minutes is

A farmer divides his herd of $mathrm{n}$ cows among his four sons, so that the first son gets one-half the herd, the second one-fourth, the third son $frac{1}{5}$ and the fourth son 7 cows. Then the value of $n$ is

If 142N is divisible by 12, then what is the value of N ?

$3-frac{3+sqrt{5}}{4}-frac{1}{3+sqrt{5}}$ is equal to

$sec ^{4} heta-sec ^{2} heta$ is equal to

In the xy-coordinate system, if (a, b) and (a + 3, b + k) are two points on the line defined by the equation x = 3y – 7, then k = ?

The angle formed by the hour-hand and the minute-hand of a clock at 2 : 15 p.m. is

If $x sin ^{3} heta+y cos ^{3} heta=sin heta cos heta$ and $x sin heta=y cos$

$heta, sin heta eq 0, cos heta eq 0$, then $x^{2}+y^{2}$ is

If $x=(0.08)^{2}, y=frac{1}{(0.08)^{2}}$ and $z=(1-0.08)^{2}-1$, then out of the following, the true relation is

The population of a town is 15000. If the number of males increases by 8% and that of females by 10%, then the population would increase to 16300. Find the number of females in the town.