1. In a class, 24 boys are there and one-seventh of the total are girls. How many students are there in total?
a) 28
b) 30
c) 32
d) none of these
Answer: c) 32
2. A mixture has milk and water in the ratio 5:1. 20 liters of water is added and the ratio now becomes 5:6. How much milk was present in the original mixture?
a) 15 liters
b) 25 liters
c) 20 liters
d) 30 liters
Answer: d) 30 liters
3. How many small cuboids of dimension 2m x 3m x 4m can be accommodated in a cube of side 22m?
a) 160
b) 385
c) 420
d) 464
Answer: b) 385
4. What is the ratio of areas of circumcircle and in-circle of an equilateral triangle?
a) 1:2
b) 2:1
c) 3:1
d) 4:1
Answer: c) 3:1
5. Two doctors, three lawyers, and one teacher went for a picnic? How many persons would have gone for a picnic at minimum if a person cannot be both teacher and lawyer?
a) 6
b) 5
c) 3
d) 4
Answer: b) 5
6. “asd fgr ghy” stands for “let it be”. “uio fgr wet” stands for “let us go”. “wet mkl asd” stands for “go with it”. What is the code for “be”?
a) asd
b) ghy
c) fgr
d) none of these
Answer: b) ghy
7. The weightage given to various subjects while calculating total marks of a student is inversely proportional to maximum marks of the subject. If math has weightage 0.5 and maximum marks 100, and weightage for science is 0.875, what are the maximum marks for science?
a) 36
b) 73
c) 57
d) 100
Answer: a) 36
8. The population of mice in a market doubles every day. Every day 20 mice are killed. How many mice are there if after every three days, the number of mice becomes the same again?
a) 36
b) 12
c) 60
d) 20
Answer: b) 12
9. If printing a page requires 2mg of ink, how many rims of 500 pages can be printed with 1 kg of ink?
a) 200
b) 500
c) 1000
d) 2000
Answer: c) 1000
10. In a class, 1/3 of the students are girls, and the rest are boys. If there are 20 more boys than girls, how many students are there in total?
a) 60
b) 80
c) 100
d) 120
Answer: c) 100
11. A solution has alcohol and water in the ratio 4:1. If 20 liters of water is added, the new ratio becomes 2:3. How much alcohol was present in the original solution?
a) 30 liters
b) 40 liters
c) 50 liters
d) 60 liters
Answer: b) 40 liters
12. How many small cubes with side length 3m can be accommodated in a large cube with side length 18m?
a) 64
b) 216
c) 512
d) 729
Answer: d) 729
13. What is the ratio of the volumes of a cylinder and a cone that have the same base radius and height?
a) 1:1
b) 2:1
c) 3:1
d) 4:1
Answer: c) 3:1
14. Five engineers and four doctors attended a conference. How many distinct groups can be formed if each group must have at least one engineer and one doctor?
a) 495
b) 615
c) 715
d) 825
Answer: c) 715
15. “jkl mno pqr” stands for “have a nice day”. “stu mno vwx” stands for “have a great time”. “vwx pqr abc” stands for “great day ahead”. What is the code for “nice”?
a) jkl
b) mno
c) pqr
d) abc
Answer: a) jkl
16. The weightage given to various subjects while calculating total marks of a student is inversely proportional to the square root of the maximum marks of the subject. If math has weightage 0.25 and maximum marks 100, and weightage for science is 0.75, what are the maximum marks for science?
a) 25
b) 50
c) 100
d) 225
Answer: d) 225
17. The population of bacteria triples every hour. Every hour, 50 bacteria die. If there are initially 100 bacteria, how many bacteria will there be after 3 hours if the number stabilizes every 3 hours?
a) 700
b) 900
c) 1050
d) 1200
Answer: c) 1050
18. If printing a book requires 5mg of ink per page and a book has 300 pages, how many books can be printed with 3kg of ink?
a) 100
b) 200
c) 300
d) 400
Answer: b) 200
19. In a school, the ratio of the number of teachers to students is 1:15. If there are 20 more students than teachers, how many teachers are there in the school?
a) 10
b) 15
c) 20
d) 25
Answer: c) 20