A wire of length 88 cm was divided into two equal parts A and B. Part A was reshaped as a square, while part B was further divided into two equal parts and both parts were reformed as a circle. Find the difference in area enclosed by part A and part B. 

In the adjacent figure ABCD is a square with AO = AX. $\angle XOB$is equal to

A bakery bakes some brown bread and some white breads. They sold 15 white breads consecutively and are left with twice the number of brown bread as white bread. Again 45 brown breads are sold consecutively and the bakery is left with 5 times white bread as brown bread. Find the number of white bread baked by the bakery . 

There are (N) number of rows in a nursery. If 5 flowers are planted in each row then three rows remain unplanted. If however, 4 flowers are planted in each row then 4 flowers remain unplanted. Find the total number of flowers. 

Four ferry starts from four different beaches in Goa namely Hansa,Bimbel ,Baina and Bogmalo takes 5 minutes ,10 Minutes ,15 minutes and 20 Minutes respectively to reach the nearby island .They start at 10:00 Am from their respective places for the nearby island. Find the time at which all four will reach the island simultaneously. [Next ferry from any beach leaves for island when the previous ferry from same beach reaches the island]. 

A government school decided to distribute chocolates on the occasion of children’s day. The number of chocolates ordered were the perfect cube of a number and were sufficient enough to be distributed among all the students, teachers and staff of the school equally who were amounting to be 968 in number. How many chocolates were ordered ?

For two positive numbers a and b, ${(a+b)}^{a+b}$ is divisible by 729. Find the minimum value of (a$\times$b)

Find the sum of all possible distinct remainder which are obtained when square of a prime number is divided by 6. 

Find the remainder when $\left(\left(\right. 234 \left.\right)\right)_{7}$is written in decimal and divided by 6 

A vertical tree stands on the cliff of a mountain of height 600 m. An observer from a plain observes the angle of elevation of the bottom and top of tree as 30$\circ$ and 45$\circ$respectively. Find the height of tree. 

A school has N number of students. The management decided that they will assign a particular number of teachers to handle the students in such a way that every teacher handles the same number of students. 3 teachers were assigned on the first day, 4 teachers were assigned on the second day, 5 teachers were assigned on the third day and 7 teachers were assigned on the fourth day, but each day it so happened that one student was left out. What is the value of N?

Rahul’s mother told Rahul that if he tells her the smallest 5-digit number which when divided by 9, 17 and 23 leaves the same remainder of 8, then she will make his favorite chocolate custard later tonight. Later on, Rahul ate the chocolate custard cooked by his mother at night. What answer did Rahul give?

In the given figure below, AB and CD are two common tangents to the two touching circles. If CD = 7 cm, then AB is equal to 

The number ${(12ABC7)}^X$ ends in 1. What is the remainder if D121 if divided by x if A, B, C, D and x are all single digit positive integers?

If length of side of a rhombus is 5 cm and length of one of its diagonal is 8cm, find the length of other diagonal.