Find the least multiple of 23, which when divided by 18, 21 and 24 leaves the remainder 7, 10 and 13 respectively.

 The least number by which 448 is to be divided to make it a perfect cube is

Find the amount (integral value only) if a sum of ₹6,500 is being borrowed at 10% interest per annum for 2 years if interest is compounded half-yearly.

Find the value of given expression.

30 – [40 – {56 – (25 – 13 – 12)}]

In a river the distance between two points is 80 km. A boat which rows 13 km/h in still water goes downstream from the first point to the second and returns upstream to starting point in 13 hrs., then find the speed of current. 

If a\b + b\a =1, then the value of a³+b³ will be 

Directions :- Read the given information carefully and answer the following questions.

There are four hostels i.e. A, B, C and D.

In hostel A: Number of boys are 120 and number of girls are 30% more than that of number of girls in

hostel B.

In hostel B: Number of boys are double than that of number of girls.

In hostel C: Number of boys are 100 more than that of boys in hostel A and total boys and girls in C is 1000.

In hostel D: Number of boys is 182 more than the number of boys in hostel A. Average of number of girls of hostel A and that of hostel D is 223.Number of boys in hostel D is 98 less that of boys in hostel B.

 If 20 boys from each hostel left their hostel then find the average of remaining number of boys in all the hostels?

A 160-meter-long train running at a speed of 90 km/h crosses a platform is 18 s. What is the length of the platform in metre?