1.
Suma bought a bottle of shampoo and a bar soap for Rs. 100. The shampoo costs Rs. 80 more than the soap. What is soap's price?

2.
If I cut a potato in to two pieces, then its

3.
X men work for X days to produce X products. Then Y men produce Y products in ______ days.

4.
Seven oranges weigh the same as four mangoes and four mangoes weigh the same as half a dozen bananas. Which of the following gives the description of the fruits in the increasing order of weights?

5.
Rashmika has written a few six digit numbers on the black board. The numbers have only 5 and 7 as their digits. How many of the numbers have both the digits at least once?

6.
Which of the following angles cannot be constructed using an unmarked ruler and compass only?

7.
This year my age is a multiple of 7. Next year it will be a multiple of 5. I am above 20 years old but less than 80. What is my age?

8.
Sujith appeared for a competitive exam. Seven marks are awarded for each correct answer, two marks deducted for each incorrect answer and zero marks given for each unanswered question. How many questions did he omit if he scored 94 marks?

9.
Using the digits 0, 2, 3, 6 and 7, once each, how many 5 digit prime numbers can be written?

10.
A cube of edge 4 cm is painted blue on all its faces. It is then cut into smaller cubes of edge 1 cm each. How many of those cubes do not have blue paint on any face?

11.
A, B, C are three natural numbers such that A < B < C and A + B + C = 11. The least value of C is

12.
A, B, C, D are real numbers such that A - 2017 = B + 2018 = C - 2019 = D + 2020. The greatest among A, B, C, D is

13.
If I walk to my office at 6 km/hr, I arrive 6 minutes early. If however, I walk at 4 km/hr, I arrive 4 minutes late. What is the distance that I walk to reach the office?

14.
A point P is drawn at random inside a square ABCD and connected to the mid points of the sides of the square. It is found that the areas of three of four parts thus formed are 9 square cm, 11 square cm and 13 square cm. What is the area of the fourth part?

15.
Five cousins live around Mysuru ring road. They decided to have regular meeting at one of their houses, and share the travel expenses equally. So they want to minimize the total travelling distances for them to get to the meeting place. At whose house will the meeting take place?