HelpContactFor teachers and institutes
>_StemPy Lab
Mock TestsClassesGroups

>_StemPy Lab

Learn. Solve. Code the solutions. Test yourself.

Live examsFree mock exams, timed and rankedEveryone starts together, and your score and rank come the moment it ends.See the exams →

Learn

  • Physics
  • Chemistry
  • Mathematics
  • Biology
  • Python Programming
  • Statistics & Data Science
  • Classes
  • Groups

Practice

  • Problems
  • Quizzes
  • Mock Tests
  • Prepare for an Exam
  • Question Sets
  • Exams
  • Certificates
  • Python Labs
  • AI Practice Generator
  • Student-Created Tests

Community

  • Discussions
  • Resources
  • Notes
  • Blog

Account

  • Dashboard
  • My Content
  • Profile
  • Log in
© 2026 senLearn. All rights reserved.HelpAboutContactPrivacy PolicyTerms of UseRefund Policy
  1. Problems
  2. /Board Exam

Board Exam problems

1916 problems for Board Exam practice, each with a worked solution. Try each one on paper first, then check your answer.

Other examsJEE MainJEE AdvancedNEETBITSATWBJEEOlympiadSATAPA-LevelIBGaokaoPCEP (Python Institute)PCAP (Python Institute)

Choose a topic to see its subtopics.

290 problems
Type:
1.
Tanvi packs 4 tops, 3 skirts and 2 pairs of shoes. New
High School (11–12) · Permutations and CombinationsBoard ExamStemPy LabStemPy Lab
Easy
2.
A number plate has 2 letters followed by 4 digits. New
High School (11–12) · Permutations and CombinationsBoard ExamStemPy LabStemPy Lab
Medium
3.
A ship has 6 flags, all of different colours. New
High School (11–12) · Permutations and CombinationsBoard ExamStemPy LabStemPy Lab
Medium
4.
A quiz has 8 questions, each answered True or False. New
High School (11–12) · Permutations and CombinationsBoard ExamStemPy LabStemPy Lab
Easy
5.
From Ranpur to Devgarh there are 4 buses and 3 trains. New
High School (11–12) · Permutations and CombinationsBoard ExamStemPy LabStemPy Lab
Easy
6.
How many 3-digit numbers have three different digits? How many of them are odd? New
High School (11–12) · Permutations and CombinationsBoard Exam, A-Level, IBStemPy LabStemPy Lab
Medium
7.
A code has 1, 2 or 3 letters, each from A, B, C, D and E. New
High School (11–12) · Permutations and CombinationsBoard ExamStemPy LabStemPy Lab
Medium
8.
How many 4-digit even numbers can be made from the digits 0, 1, 2, 3, 4 and 5, if no digit is used… New
High School (11–12) · Permutations and CombinationsBoard Exam, A-Level, IBStemPy LabStemPy Lab
Hard
9.
Find 7!, (8!)/(6!) and 7! - 5!. New
High School (11–12) · Permutations and CombinationsBoard ExamStemPy LabStemPy Lab
Easy
10.
Find the natural number n for which (n!)/((n - 2)!) = 132. Then find x if 1/(6!) + 1/(7!) = x/(8!). New
High School (11–12) · Permutations and CombinationsBoard ExamStemPy LabStemPy Lab
Hard
11.
Nine students reach the final of a quiz. New
High School (11–12) · Permutations and CombinationsBoard ExamStemPy LabStemPy Lab
Easy
12.
Find n if ⁿP₄ = 20 × ⁿP₂. New
High School (11–12) · Permutations and CombinationsBoard ExamStemPy LabStemPy Lab
Medium
13.
A phone passcode has 4 digits, each from 0 to 9. New
High School (11–12) · Permutations and CombinationsBoard ExamStemPy LabStemPy Lab
Medium
14.
A ship has 5 different flags. A signal is made by hoisting at least 2 of them, one above another… New
High School (11–12) · Permutations and CombinationsBoard ExamStemPy LabStemPy Lab
Medium
15.
In how many ways can the letters of the word MISSISSIPPI be arranged? New
High School (11–12) · Permutations and CombinationsBoard Exam, A-Level, IBStemPy LabStemPy Lab
Medium
16.
Kavya has 4 red, 3 blue and 2 green tiles. New
High School (11–12) · Permutations and CombinationsBoard Exam, A-Level, IBStemPy LabStemPy Lab
Medium
17.
The word ALLAHABAD has 9 letters. How many arrangements of its letters are there? New
High School (11–12) · Permutations and CombinationsBoard Exam, A-Level, IBStemPy LabStemPy Lab
Hard
18.
Seven friends take seven seats in a row at the cinema. New
High School (11–12) · Permutations and CombinationsBoard Exam, A-Level, IBStemPy LabStemPy Lab
Easy
19.
In how many ways can the letters of the word ORANGE be arranged so that the vowels stand only in… New
High School (11–12) · Permutations and CombinationsBoard Exam, A-Level, IBStemPy LabStemPy Lab
Medium
20.
Four digit numbers are made from the digits 0, 1, 2, 3, 4, 5, with no digit repeated. New
High School (11–12) · Permutations and CombinationsBoard Exam, A-Level, IBStemPy LabStemPy Lab
Medium
21.
All the arrangements of the letters of TIGER are listed in dictionary order. New
High School (11–12) · Permutations and CombinationsJEE Main, BITSAT, WBJEE, Board ExamStemPy LabStemPy Lab
Hard
22.
Fifteen people meet, and each of them shakes hands once with every other person. New
High School (11–12) · Permutations and CombinationsBoard ExamStemPy LabStemPy Lab
Easy
23.
Lalit owns 12 different books. He will take 5 of them on a holiday. New
High School (11–12) · Permutations and CombinationsBoard ExamStemPy LabStemPy Lab
Easy
24.
For some n and r, ⁿPr = 336 and ⁿCr = 56. Find n and r. New
High School (11–12) · Permutations and CombinationsBoard ExamStemPy LabStemPy Lab
Medium
25.
If ⁿC₁₂ = ⁿC₈, find n and then ⁿC₁₇. New
High School (11–12) · Permutations and CombinationsBoard ExamStemPy LabStemPy Lab
Easy
Page 1 of 12
…

Showing 1–25 of 290