Find the sum of the integers between 100 and 200 that is not divisible by 9.

The students of a school decided to beautify the school on the Annual Day by fixing colourful flags on the straight passage of the school. They have 27 flags to be fixed at intervals of every 2m. The flags are stored at the position of the middle most flag. Ruchi was given the responsibility of placing the flags. Ruchi kept her books where the flags were stored. She could carry only one flag at a time. How much distance did she cover in completing this job and returning back to collect her books? What is the maximum distance she travelled carrying a flag?

150 workers were engaged to finish a piece of work in a certain number of days. Four workers dropped the second day, four more workers dropped the third day and so on. It takes 8 more days to finish the work now. Find the number of days in which the work was completed.

Interior angles of a polygon are in AP. If the smallest angle is 120^o and common difference is 5^o , find the number of sides of the polygon.

A thief runs with a uniform speed of 100 m/minute. After one minute, a policeman runs after the thief to catch him. He goes with a speed of 100 m/minute in the first minute and increases his speed by 10 m/minute every succeeding minute. After how many minutes the policeman will catch the thief?

The houses in a row are numbered consecutively from 1 to 49. Show that three exists a value of X such that sum of numbers of houses preceding the house numbered X is equal to sum of the numbers of houses following X.

A spiral is made up of successive semicircles, with centres alternately at A and B, starting with centre at A, of radii 0.5 cm, 1.0 cm, 1.5 cm, 2.0 cm, ... as show in fig. What is the total length of such a spiral made-up of 13 consecutive semicircles? (Take \(\pi=\frac{22}{7}\)) 

( Length of successive semicircles is l₁, l₂, l₃, l₄, . . . with centres at A, B,. . ., respectively.]

Yasmeen saves Rs.32 during the first month, Rs.36 in the second month and Rs.40 in the third month. If she continues to save in this manner, in how many months will she save Rs.2000?

Solve the equation - 4 + (-1) + 2 + ...+ x = 437

Jaspal Singh repays his total loan of Rs.118000 by paying every month starting with the first instalment of Rs.1000. If he increases the instalment by Rs.100 every month,
(i) What will be paid by him in the 30th instalment?
(ii) What amount of loan does he still have to pay after the 30th instalment?